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		<id>https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&amp;diff=59914</id>
		<title>First Two Layers</title>
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		<updated>2026-08-10T16:51:05Z</updated>

		<summary type="html">&lt;p&gt;Iguana: /* F2L 1 */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;seo title=&amp;quot;First Two Layers (F2L) of Fridrich Speedcubing Method&amp;quot; metak=&amp;quot;f2l algs, f2l, first two layers, f2l algorithms, speedcubing&amp;quot; /&amp;gt;&lt;br /&gt;
{{Substep Infobox&lt;br /&gt;
|name=F2L&lt;br /&gt;
|image=F2L_step.png&lt;br /&gt;
|proposers=[[John Conway]], [[David Benson]], and [[David Seal]]&lt;br /&gt;
|year=1979&lt;br /&gt;
|anames=First Two Layers&lt;br /&gt;
|variants=[[ZZ F2L]], [[ZBLS]], [[VHF2L]], [[WV]], [[MGLS]], possibly others&lt;br /&gt;
|subgroup=&amp;lt;nowiki&amp;gt;&amp;lt;U,R,L,F,B,D&amp;gt;&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|algs=0 Intuitive F2L; 41 Last slot F2L (up to symmetry); 167 First slot F2L (up to symmetry); hundreds more with [[Advanced F2L]]&lt;br /&gt;
|moves=6.7 [[HTM]] per slot; ~26.8 [[HTM]] per four slots&lt;br /&gt;
|purpose=&amp;lt;sup&amp;gt;&amp;lt;/sup&amp;gt;&lt;br /&gt;
* [[Speedsolving]], [[FMC]]&lt;br /&gt;
|previous=[[Cross cube state]]&lt;br /&gt;
|next=[[F2L cube state]]&lt;br /&gt;
|previousimage=[[Image:VisualCube_3_Egell.png|120px|left|link=Cross cube state]]&lt;br /&gt;
|nextimage=[[Image:F2L_higlight.jpg|120px|right|link=F2L cube state]]&lt;br /&gt;
&lt;br /&gt;
}}&lt;br /&gt;
&#039;&#039;&#039;First Two Layers&#039;&#039;&#039;, or &#039;&#039;&#039;F2L&#039;&#039;&#039; refers to the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.&lt;br /&gt;
&lt;br /&gt;
The definition is a little different depending on the subject or who you are talking to. Usually, it refers to the part of the [[CFOP]] and [[CFCE]] methods that solve the first two layers in [[pair]]s, excluding the [[cross]] step. Or it can refer to [[ZZ]]&#039;s F2L.&lt;br /&gt;
&lt;br /&gt;
[[2-gen]] F2L, most pairs (30 of 41) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y&#039;) and solve the pair to the back slot using only R and U moves. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br clear=all&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Approaches ==&lt;br /&gt;
&lt;br /&gt;
=== Petrus F2L ===&lt;br /&gt;
&lt;br /&gt;
Another way to solve the &#039;F2L&#039; is by building blocks, common during the first two layers of the [[Petrus]] method.&lt;br /&gt;
&lt;br /&gt;
=== Fridrich F2L ===&lt;br /&gt;
&lt;br /&gt;
There are many ways to solve the &#039;F2L&#039; on a cube.  A common system is using the [[Fridrich]] method first two layer approach.  After solving the cross, a corner-edge pair is paired up (&#039;&#039;&#039;form pair&#039;&#039;&#039;), and then inserted into the correct slot (&#039;&#039;&#039;pair insertion&#039;&#039;&#039;).  A total of four corner edge (or &#039;CE&#039;) pairs are made and inserted to solve the first two layers.  This step of the cube should be done intuitively, even though there are algorithms for each case, algorithms should only be used for slower cases.&lt;br /&gt;
&lt;br /&gt;
The concept of pairing up four corner/edge pairs was first proposed in 1979 by [[John Conway]], [[David Benson]], and [[David Seal]] in two separate publications.[https://sites.google.com/view/methodlibrary/3x3-methods/cfop] The idea appeared in other publications starting in 1981.&lt;br /&gt;
&lt;br /&gt;
=== ZZ F2L ===&lt;br /&gt;
ZZ F2L is very similar to CFOP F2L, but there are some differences in ways you can pair up pieces. ZZ is more blockbuilding centered, and in result, F2L can be completed using block building and is thus more efficient.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
* [[CFOP]]&lt;br /&gt;
* [[Petrus]]&lt;br /&gt;
* [[ZZ]]&lt;br /&gt;
* [[Megaminx F2L]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{F2L}}&lt;br /&gt;
&lt;br /&gt;
==Basic Inserts==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 1 ===&lt;br /&gt;
[[Image:F2L01.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=GJAPWiFQlcY&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=1}}&lt;br /&gt;
{{Alg|R&#039; F R F&#039;|F2L|vidurl=https://www.youtube.com/watch?v=d4iMIP8e_bw&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=2}}&lt;br /&gt;
{{Alg|U2 (R U2 R&#039;)|F2L}}&lt;br /&gt;
{{Alg|M&#039; U R U&#039; Rw&#039;)|F2L}}&lt;br /&gt;
&lt;br /&gt;
=== F2L 2 ===&lt;br /&gt;
[[Image:F2L02.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|y&#039; U&#039; (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|U&#039; (F&#039; U F)|F2L}}&lt;br /&gt;
{{Alg|F R&#039; F&#039; R|F2L|vidurl=https://www.youtube.com/watch?v=xtiPZNtB428&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=3}}&lt;br /&gt;
{{Alg|y U&#039; (L&#039; U L)|F2L}}&lt;br /&gt;
{{Alg|d&#039; L&#039; U L|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 3 ===&lt;br /&gt;
[[Image:F2L03.png]]&lt;br /&gt;
&lt;br /&gt;
{{alg|F&#039; U&#039; F|F2L|vidurl=https://www.youtube.com/watch?v=hjGuFNoMRW0&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=4}}&lt;br /&gt;
{{Alg|y&#039; (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|y (L&#039; U&#039; L)|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 4 ===&lt;br /&gt;
[[Image:F2L04.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=EmUXH3oqdh4&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=5}}&lt;br /&gt;
{{Alg|y F U F&#039;|F2L}}&lt;br /&gt;
{{Alg|y&#039; f R f&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Reposition Edge==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 5 ===&lt;br /&gt;
[[Image:F2L05.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(U&#039; R U R&#039;) U2 (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=RyT5JGz41gw&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=6}}&lt;br /&gt;
{{Alg|(U&#039; R U R&#039;) U (R&#039; F R F&#039;)|F2L}}&lt;br /&gt;
{{Alg|U&#039; (R U R&#039;) U&#039; R U2 R&#039;|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|U F&#039; R&#039; F&#039; R F|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|U R F R&#039; F&#039; R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 6 ===&lt;br /&gt;
[[Image:F2L06.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|d (R&#039; U&#039; R) U2&#039; (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|y&#039; (U R&#039; U&#039; R) U2 (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|U&#039; (r U&#039; R&#039; U) (R U r&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=i2CSmZJc7Ck&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=7}}&lt;br /&gt;
{{Alg|y F2 (R U R&#039; U&#039;) F2|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|U&#039; F&#039; R&#039; F R F|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|U&#039; R F R F&#039; R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 7 ===&lt;br /&gt;
[[Image:F2L07.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; (R U2&#039; R&#039;) U2 (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=A_YHvH5y5vY&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=8}}&lt;br /&gt;
{{Alg|(U&#039; R U2 R&#039;)2|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 8 ===&lt;br /&gt;
[[Image:F2L08.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|d (R&#039; U2 R) U2&#039; (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|y&#039; U (R&#039; U2 R) U2 (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|U (R&#039; F R F&#039;)2 (R U&#039; R&#039;)|F2L}}&lt;br /&gt;
{{Alg|(r&#039; U2) (R2 U R2 U r)|F2L|vidurl=https://www.youtube.com/watch?v=TZdZqyFMFgs&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=9}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Reposition Edge and Flip Corner==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 9 ===&lt;br /&gt;
[[Image:F2L09.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; R U&#039; R&#039; d R&#039; U&#039; R |F2L}}&lt;br /&gt;
{{Alg|U&#039; R U&#039; R&#039; U (F&#039; U&#039; F)|F2L|vidurl=https://www.youtube.com/watch?v=uKp6lYvTTNc&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=10}}&lt;br /&gt;
{{Alg|d (R&#039; U&#039; R U&#039;) (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|F (R U R&#039; U&#039;) F&#039; R U&#039; R&#039;|F2L}}&lt;br /&gt;
{{Alg|y F2 (U R U&#039; R&#039;) F2|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|R&#039; U&#039; R F&#039; U&#039; F|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|F U&#039; F2&#039; U&#039; F|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 10 ===&lt;br /&gt;
[[Image:F2L10.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; (R U R&#039; U)(R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=gyyYICRQg5c&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=11}}&lt;br /&gt;
{{Alg|R d&#039; R U R&#039; U2 F&#039;|F2L}}&lt;br /&gt;
{{Alg|U F&#039; U F U&#039; R U R&#039;|F2L}}&lt;br /&gt;
{{Alg|d R&#039; U R d&#039; R U R&#039;|F2L}}&lt;br /&gt;
{{Alg|y2 B2 (U&#039; R&#039; U R) B2|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|F U F&#039; R U R&#039;|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|R&#039; U R2 U R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 11 ===&lt;br /&gt;
[[Image:F2L11.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; (R U2&#039; R&#039;) d (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|U&#039; (R U2&#039; R&#039;) U (F&#039; U&#039; F)|F2L|vidurl=https://www.youtube.com/watch?v=6yXzaZM3GEk&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=12}}&lt;br /&gt;
{{Alg|(y&#039;) R U2 R2 U&#039; R2 U&#039; R&#039;|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|L U2 L2 U&#039; L|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 12 ===&lt;br /&gt;
[[Image:F2L12.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|R U&#039; R&#039; U R U&#039; R&#039; U2 R U&#039; R&#039;|F2L|vidurl=https://www.youtube.com/watch?v=IW2wvQ2nC2o&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=14}}&lt;br /&gt;
{{Alg|R U2 R&#039; U2&#039; R U2&#039; R&#039; U2&#039; R U&#039; R&#039;|F2L}}&lt;br /&gt;
{{Alg|R&#039; U2 R2 U R2 U R|F2L|vidurl=https://www.youtube.com/watch?v=XdHHapolhKg&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=13}}&lt;br /&gt;
{{Alg|(U R U&#039; R&#039;) U&#039; (R U R&#039; U&#039;) (R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|R U R&#039; U (R&#039; F R F&#039;) (R U R&#039;)|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|R&#039; U2 R2 U R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 13 ===&lt;br /&gt;
[[Image:F2L13.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|d (R&#039; U R U&#039;) (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|y&#039; U (R&#039; U R U&#039;) (R&#039; U&#039; R)|F2L|vidurl=https://www.youtube.com/watch?v=Sjo7aOX6f8o&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=15}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) U (R&#039; F R F&#039;) (R U&#039; R&#039;)|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|F U F&#039; R&#039; U&#039; R|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 14 ===&lt;br /&gt;
[[Image:F2L14.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; (R U&#039; R&#039; U) (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=BwaDJAZaIpc&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=16}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|F U&#039; F&#039; R U R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Split Pair by Going Over==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 15 ===&lt;br /&gt;
[[Image:F2L15.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|R&#039; D&#039; R U&#039; R&#039; D R U (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=m0Uve1y-8tE&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=17}}&lt;br /&gt;
{{Alg|(F&#039; U F) U2 (R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|U (R&#039; F R F&#039;) U (R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|R U2 R&#039; U R U R&#039; U R U&#039; R&#039;|F2L}}&lt;br /&gt;
{{Alg|R U R&#039; U2 R U&#039; R&#039; U R U&#039; R&#039;|F2L}}&lt;br /&gt;
{{Alg|R U&#039; R U2&#039; R2&#039; U&#039; R2 U&#039; R2&#039;|F2L}}&lt;br /&gt;
{{Alg|U&#039; R2 U2 R U&#039; R&#039; U R&#039; U2 R2|F2L}}&lt;br /&gt;
{{Alg|U2 (R U R&#039; U&#039;) R U2 R&#039; U R U R&#039;|F2L}}&lt;br /&gt;
{{Alg|U&#039; R&#039; U2 R&#039; U R&#039; U&#039; R U2 R|F2L}}&lt;br /&gt;
{{Alg|R U&#039; R U2 R2 U&#039; R2 U&#039; R2|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|U&#039; (R&#039; U R U&#039;) (R U R&#039;)|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|U (R U&#039; R&#039;) D (R U&#039; R&#039;) D&#039;|F2L}}&lt;br /&gt;
{{Alg|R F U F&#039; U&#039; R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 16 ===&lt;br /&gt;
[[Image:F2L16.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U) d (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) U2 (F&#039; U&#039; F)|F2L|vidurl=https://www.youtube.com/watch?v=Rf5jEBMOUnc&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=18}}&lt;br /&gt;
{{Alg|(U) R (F R U R&#039; U&#039; F&#039;) R&#039;|F2L}}&lt;br /&gt;
{{Alg|y&#039; U R U2 R U&#039; R U R&#039; U2 R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|F&#039; R&#039; U&#039; R U F|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 17 ===&lt;br /&gt;
[[Image:F2L17.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U2 R&#039;) U&#039; (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=ncxTAoW7jow&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=19}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 18 ===&lt;br /&gt;
[[Image:F2L18.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|y&#039; (R&#039; U2 R) U (R&#039; U&#039; R)|F2L|vidurl=https://www.youtube.com/watch?v=NotJBG5dR6w&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=20}}&lt;br /&gt;
{{Alg|y (L&#039; U2 L) U (L&#039; U&#039; L)|F2L}}&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;) (R U R&#039; U&#039;) F R&#039; F&#039; R |F2L}}&lt;br /&gt;
{{Alg|(R&#039; F R F&#039;) (R U&#039; R&#039; U) (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=Jhnm4pk86A4&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=21}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Pair Made on Side==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 19 ===&lt;br /&gt;
[[Image:F2L19.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Alg|U (R U2 R&#039;) U (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=EodPFBbDBME&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=22}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U)2 R U R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 20 ===&lt;br /&gt;
[[Image:F2L20.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Alg|y&#039; U&#039; (R&#039; U2 R) U&#039; (R&#039; U R)|F2L|vidurl=https://www.youtube.com/watch?v=Am2sBaR-xVs&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=23}}&lt;br /&gt;
{{Alg|U&#039; (R U&#039; R2&#039; F R F&#039;) (R U&#039; R&#039;)|F2L}}&lt;br /&gt;
{{Alg|y&#039; (R&#039; U R U&#039;)2 R&#039; U&#039; R|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 21 ===&lt;br /&gt;
[[Image:F2L21.png]]&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) U2 (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=xgz0P4IQ0Z8&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=25}}&lt;br /&gt;
{{Alg|U2 (R U R&#039; U)(R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=6M2nkaooAZk&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=24}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 22 ===&lt;br /&gt;
[[Image:F2L22.png]]&lt;br /&gt;
{{Alg|y&#039; (R&#039; U R) U2 (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|y&#039; U2 (R&#039; U&#039; R U&#039;) (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg| r U&#039; r&#039; U2 r U r&#039;|F2L|vidurl=https://www.youtube.com/watch?v=0IpO4zFYFoo&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=26}}&lt;br /&gt;
{{Alg|U (F R U R&#039; U&#039; F&#039;) R U R&#039; U2&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Weird==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 23 ===&lt;br /&gt;
[[Image:F2L23.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U2 R2 U2 (R&#039; U&#039; R U&#039;) R2|F2L}}&lt;br /&gt;
{{Alg|U (F R&#039; F&#039; R) U (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=UCt8j8uCNMk&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=28}}&lt;br /&gt;
{{Alg|U R U&#039; R&#039; U&#039; R U&#039; R&#039; U R U&#039; R&#039;|F2L|vidurl=https://www.youtube.com/watch?v=ZkLqXWiLFAg&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=27}}&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;) U&#039; (R U R&#039; U&#039;)(R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|R U&#039; R&#039; U&#039; (R U R&#039;) U2 (R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|R2 U R&#039; U R U2 R&#039; U&#039; R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 24 ===&lt;br /&gt;
[[Image:F2L24.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U R&#039;) d (R&#039; U R U&#039;) (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|y&#039; (R&#039; U&#039; R U) U (R&#039; U&#039; R U)(R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|y&#039; U2 R2 U2 (R U R&#039; U) R2|F2L}}&lt;br /&gt;
{{Alg|U&#039; (R U) (R2&#039; F R F&#039;) (R U&#039; R&#039;)|F2L}}&lt;br /&gt;
{{Alg|F U (R U&#039; R&#039; F&#039;)(R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=6HbnAQY-aVM&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=29}}&lt;br /&gt;
{{Alg|(R U R&#039; U) (R U R&#039; U&#039;) (F R&#039; F&#039; R)|F2L}}&lt;br /&gt;
{{Alg|(R U R&#039; U) (R U2 R&#039;) F&#039; U2 F|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Corner in Place, Edge in U Face==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 25 ===&lt;br /&gt;
[[Image:F2L25.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; (R&#039; F R F&#039;) (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=S9257JxJwZk&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=30}}&lt;br /&gt;
{{Alg|R&#039; U&#039; R&#039; U&#039; R&#039; U R U R|F2L}}&lt;br /&gt;
{{Alg|U&#039; (F&#039; U F) U (R U&#039; R&#039;)|F2L}}&lt;br /&gt;
{{Alg|R&#039; F&#039; R U R U&#039; R&#039; F|F2L}}&lt;br /&gt;
{{Alg|(U&#039;) F&#039; R U R&#039; U&#039; R&#039; F R|F2L|vidurl=https://www.youtube.com/watch?v=Lw0cHb3nT4o&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=31}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U&#039;) (R U&#039; R&#039; U) (R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|(U) (R&#039; U&#039; R&#039; U&#039;) R2 (U R U R)|F2L}}&lt;br /&gt;
{{Alg|(U2) (R&#039; U&#039; R&#039; U&#039; R U R U R)|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|R2 U&#039; R&#039; U R2|F2L}}&lt;br /&gt;
{{Alg|U D&#039; R U&#039; R&#039; D|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 26 ===&lt;br /&gt;
[[Image:F2L26.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|y&#039; R U R U R U&#039; R&#039; U&#039; R&#039;|F2L}}&lt;br /&gt;
{{Alg|U (R U&#039; R&#039;) U&#039; (F&#039; U F)|F2L}}&lt;br /&gt;
{{Alg|U (R U&#039; R&#039;) (F R&#039; F&#039; R)|F2L|vidurl=https://www.youtube.com/watch?v=gr9h0xiXWjM&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=32}}&lt;br /&gt;
{{Alg|y&#039; (U&#039;) R U R U R2 U&#039; R&#039; U&#039; R&#039;|F2L}}&lt;br /&gt;
{{Alg|y&#039; (U2) R U R U R&#039; U&#039; R&#039; U&#039; R&#039;|F2L}}&lt;br /&gt;
{{Alg|r U r&#039; U2 r U r&#039; U2 r U&#039; r&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
{{Alg| U (l F&#039; l&#039;) (F R&#039; F&#039; R)|F2L}}&lt;br /&gt;
{{Alg| d (R B&#039; R&#039; B) (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 27 ===&lt;br /&gt;
[[Image:F2L27.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U)(R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=JBYRStpmDL8&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=33}}&lt;br /&gt;
{{Alg|(R U&#039; R2)(F R F&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=YaWkhs1cUj4&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=34}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 28 ===&lt;br /&gt;
[[Image:F2L28.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;) F R&#039; F&#039; R |F2L}}&lt;br /&gt;
{{Alg|(R U R&#039;) d (R&#039; U2 R) |F2L}}&lt;br /&gt;
{{Alg|y (L&#039; U L U&#039;) (L&#039; U L)|F2L|vidurl=https://www.youtube.com/watch?v=_VWlb_5SrsI&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=35}}&lt;br /&gt;
{{Alg|y&#039; (R&#039; U R U&#039;)(R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|(R U R&#039;) U (F&#039; U2 F)|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 29 ===&lt;br /&gt;
[[Image:F2L29.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|y&#039; (R&#039; U&#039; R U)(R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|U2 (R U&#039; R&#039;) y&#039; (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|(R&#039; F R F&#039;)2|F2L}}&lt;br /&gt;
{{Alg|(R&#039; F R F&#039;) (U R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=EvCzppFMLCs&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=36}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 30 ===&lt;br /&gt;
[[Image:F2L30.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;)(R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=MDy2EhrraRE&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=37}}&lt;br /&gt;
{{Alg|U2 (F&#039; U F)(R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|U&#039; (R U2 R&#039;)U2 (R U R&#039;)|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Edge in Place, Corner in U face==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 31 ===&lt;br /&gt;
[[Image:F2L31.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) d (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U)(F&#039; U F)|F2L}}&lt;br /&gt;
{{Alg|U&#039; (R&#039; F R F&#039;) (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=YflQOzAiK5s&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=38}}&lt;br /&gt;
{{Alg|R U2 R&#039; U&#039; F R&#039; F&#039; R|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 32 ===&lt;br /&gt;
[[Image:F2L32.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;)2 (R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|(U R U&#039; R&#039;)3|F2L|vidurl=https://www.youtube.com/watch?v=-xHjZYwAvWk&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=39}}&lt;br /&gt;
{{Alg|U&#039; (R U R&#039; U&#039;) (R U R&#039; U) (R U&#039; R&#039;)|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 33 ===&lt;br /&gt;
[[Image:F2L33.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; (R U&#039; R&#039;) U2&#039; (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=l49Oin4njnY&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=40}}&lt;br /&gt;
{{Alg|(U&#039; R U&#039; R&#039;) U2 (R U&#039; R&#039;)|F2L}}&lt;br /&gt;
{{Alg|y U&#039; (L&#039; U&#039; L) U2 (L&#039; U&#039; L)|F2L}}&lt;br /&gt;
&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|u R U&#039; R&#039; u&#039;|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|E F&#039; U&#039; F u|F2L}}&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 34 ===&lt;br /&gt;
[[Image:F2L34.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U (F&#039; U F) U2 (F&#039; U F)|F2L}}&lt;br /&gt;
{{Alg|U&#039; (R U2&#039; R&#039;) U (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=uLiLxtW2lko&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=42}}&lt;br /&gt;
{{Alg|U (R U R&#039;) U2 (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=1Zh-CRRe0E4&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=41}}&lt;br /&gt;
{{Alg|d (R&#039; U R) U2 (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|y (U L&#039; U L) U2 (L&#039; U L)|F2L}}&lt;br /&gt;
{{Alg|U y F U2 R U2 R&#039; F&#039;|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|E&#039; R U R&#039; E|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|u&#039; F&#039; U F u|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 35 ===&lt;br /&gt;
[[Image:F2L35.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; R U R&#039; U (F&#039; U&#039; F)|F2L|vidurl=https://www.youtube.com/watch?v=ZYv09SLzoKw&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=43}}&lt;br /&gt;
{{Alg|(U&#039; R U R&#039;) d (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|U2 (R U&#039; R&#039;) U&#039; (F&#039; U&#039; F)|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 36 ===&lt;br /&gt;
[[Image:F2L36.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U F&#039; U&#039; F U&#039; (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=cfa5NlJaxZ8&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=44}}&lt;br /&gt;
{{Alg|U2 (R&#039; F R F&#039;) U2 (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=PXry0dwYwgE&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=45}}&lt;br /&gt;
{{Alg|y&#039; U (R&#039; U&#039; R U&#039;) y (R U R&#039;)|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Edge and Corner in Place==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 37 ===&lt;br /&gt;
[[Image:F2L37.png]]&lt;br /&gt;
&lt;br /&gt;
Solved&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 38 ===&lt;br /&gt;
[[Image:F2L38.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R&#039; F R F&#039;) (R U&#039; R&#039; U) (R U&#039; R&#039; U2) (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=hnuvQDHvvOQ&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=47}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) d (R&#039; U2 R) U2&#039; (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|(R U R&#039;) U2 (R U2 R&#039;) d (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|(R2 U2) (F R2 F&#039;) (U2 R&#039; U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=Yo29cluMUNc&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=46}}&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;)(R U2 R&#039; d)(R&#039; U&#039; R U&#039; R&#039; U R)|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|R U&#039; R2 U2 R U&#039; F&#039; U F|F2L}}&lt;br /&gt;
{{Alg|R U&#039; R2 U2 R F R&#039; F&#039; R|F2L}}&lt;br /&gt;
{{Alg|R U&#039; R2 U2 R U2 F&#039; U2 F|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 39 ===&lt;br /&gt;
[[Image:F2L39.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) U&#039; (R U R&#039;) U2 (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=ji7XpGGcrWs&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=48}}&lt;br /&gt;
{{Alg|y&#039; (R&#039; U&#039; R) U2 (R&#039; U R U&#039;) (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;) (R U2 R&#039;) U&#039; (R U R&#039;)|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 40 ===&lt;br /&gt;
[[Image:F2L40.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U)(R U2&#039; R&#039;) U (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=vq-vBqWFuec&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=49}}&lt;br /&gt;
{{Alg|(R U R&#039;) U2 (R U&#039; R&#039; U)(R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|(R U2) (R U R&#039; U) (R U2 R2&#039;)|F2L}}&lt;br /&gt;
{{Alg|y&#039; R2 U2 R U R&#039; U R U2 R|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 41 ===&lt;br /&gt;
[[Image:F2L41.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(r U&#039; r&#039;) U2 (r U r&#039;) (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=u_RyH_2Kqhw&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=50}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) d (R&#039; U&#039; R U&#039;) (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|R U&#039; R&#039; U&#039; R U&#039; R&#039; d R&#039; U&#039; R|F2L}}&lt;br /&gt;
{{Alg|R (F U R U&#039; R&#039; F&#039;) U&#039; R&#039;|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|R U&#039; R2 U&#039; R y&#039; R&#039; U&#039; R y|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 42 ===&lt;br /&gt;
[[Image:F2L42.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) (r U&#039; r&#039;) U2 (r U r&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=DpuAOiDiin4&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=51}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U) d (R&#039; U&#039; R U&#039;) (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U2) y&#039; (R&#039; U&#039; R U&#039; R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;) (R U&#039; R&#039;) U2 (F&#039; U&#039; F)|F2L}}&lt;br /&gt;
{{Alg| R U (F R U R&#039; U&#039; F&#039;) R&#039;|F2L}} &lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|y&#039; R&#039; U R2 U R&#039; y R U R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
* [[Keyhole First Two Layers]]&lt;br /&gt;
* [[Intuitive solving]]&lt;br /&gt;
* [[Advanced F2L]]&lt;br /&gt;
* [[ZZ F2L]]&lt;br /&gt;
* [[ZBLS]]&lt;br /&gt;
* [[Fridrich Method]]&lt;br /&gt;
* [[Petrus Method]]&lt;br /&gt;
&lt;br /&gt;
== External Resources ==&lt;br /&gt;
=== Beginner ===&lt;br /&gt;
* [http://rishidoshi.blogspot.com/ RiDo&#039;s Hunting Story] Uses a simple analogy method for F2L, but not comprehensive&lt;br /&gt;
* [https://docs.google.com/document/d/1npPMcy2Vv-jjUB7wr0gHE0rESuwUgba_D7vT2OUzvTQ/mobilebasic?pli=1 Beginner&#039;s F2L: 3 steps for every case] Excellent F2L guide covering every scenario&lt;br /&gt;
&lt;br /&gt;
=== Standard ===&lt;br /&gt;
* [https://www.cuberoot.me/f2l/ CubeRoot F2L algs]&lt;br /&gt;
* [http://speedcubedb.com/a/3x3/F2L Speedcubedb F2L List]&lt;br /&gt;
* [https://www.youtube.com/playlist?list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv Full execution and alternatives for all F2L cases]&lt;br /&gt;
* [https://www.youtube.com/watch?v=Ar_Zit1VLG0 (VIDEO) Learn F2L in 6 minutes (Full Intuitive F2L Tutorial)]&lt;br /&gt;
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk&#039;s F2L Cases (from his old site)]&lt;br /&gt;
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris&#039;s F2L Cases]&lt;br /&gt;
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]&lt;br /&gt;
* [http://jmbaum.110mb.com/f2l.htm Jason Baum&#039;s F2L Cases]&lt;br /&gt;
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise&#039;s Printable F2L PDF]&lt;br /&gt;
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]&lt;br /&gt;
* [http://www.cubewhiz.com/pll.php Bob Burton&#039;s F2L Cases]&lt;br /&gt;
* [http://cubefreak.net/speed/advancedf2l/standard.php F2L algs for every case from all angles by Shotaro Makisumi]&lt;br /&gt;
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik&#039;s cube - F2L] - by Feliks Zemdegs&lt;br /&gt;
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik&#039;s Cube: Fridrich F2L explained] - by Badmephisto&lt;br /&gt;
* [https://www.speedcubingtips.eu/base-de-donnees-f2l/ Speedcubingtips.eu F2L algs]&lt;br /&gt;
* [https://www.speedcubingtips.eu/fl2-animes/ Speedcubingtips.eu F2L algs animated version]&lt;br /&gt;
&lt;br /&gt;
=== Advanced ===&lt;br /&gt;
* [https://www.cuberoot.me/f2l-speffz-naming/ F2L Speffz Naming]&lt;br /&gt;
* [https://www.cuberoot.me/3x3-f2l/ CubeRoot advanced F2L algs]&lt;br /&gt;
* Youtube: [https://www.youtube.com/playlist?list=PL83bqDZwr97mik_tbQrCJQQcXsb-wzC53 Viktor Danilov Expert F2L (Russian language)]&lt;br /&gt;
* Database: [http://algs.expertcuber.by/ Website for Viktor Danilov F2L series]&lt;br /&gt;
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]&lt;br /&gt;
* [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]&lt;br /&gt;
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]&lt;br /&gt;
* [https://www.speedcubingtips.eu/multislotting-resoudre-deux-f2l-ensemble/ Speedcubingtips.eu multislotting algs]&lt;br /&gt;
* [https://www.speedcubingtips.eu/f2l-et-empty-slots/ Speedcubingtips.eu F2L - use of empty slot algs] &lt;br /&gt;
* [https://www.speedcubingtips.eu/f2l-et-pieces-coincees-stuck-pieces/ Speedcubingtips.eu F2L and stuck pieces cases]&lt;br /&gt;
* [https://www.cuberoot.me/f2l-time-attack/ F2L time attack]&lt;br /&gt;
&lt;br /&gt;
== F2L Trainers ==&lt;br /&gt;
[https://speedcubedb.com/t SpeedCubeDB trainer - for all sets and orientations]&lt;br /&gt;
&lt;br /&gt;
[http://expertcuber.by/ ExpertCuber.by]&lt;br /&gt;
&lt;br /&gt;
[[Category:3x3x3 other substeps]]&lt;br /&gt;
&lt;br /&gt;
__NOTOC__&lt;/div&gt;</summary>
		<author><name>Iguana</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&amp;diff=59913</id>
		<title>First Two Layers</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=First_Two_Layers&amp;diff=59913"/>
		<updated>2026-08-10T16:49:44Z</updated>

		<summary type="html">&lt;p&gt;Iguana: improving clarity&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;seo title=&amp;quot;First Two Layers (F2L) of Fridrich Speedcubing Method&amp;quot; metak=&amp;quot;f2l algs, f2l, first two layers, f2l algorithms, speedcubing&amp;quot; /&amp;gt;&lt;br /&gt;
{{Substep Infobox&lt;br /&gt;
|name=F2L&lt;br /&gt;
|image=F2L_step.png&lt;br /&gt;
|proposers=[[John Conway]], [[David Benson]], and [[David Seal]]&lt;br /&gt;
|year=1979&lt;br /&gt;
|anames=First Two Layers&lt;br /&gt;
|variants=[[ZZ F2L]], [[ZBLS]], [[VHF2L]], [[WV]], [[MGLS]], possibly others&lt;br /&gt;
|subgroup=&amp;lt;nowiki&amp;gt;&amp;lt;U,R,L,F,B,D&amp;gt;&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|algs=0 Intuitive F2L; 41 Last slot F2L (up to symmetry); 167 First slot F2L (up to symmetry); hundreds more with [[Advanced F2L]]&lt;br /&gt;
|moves=6.7 [[HTM]] per slot; ~26.8 [[HTM]] per four slots&lt;br /&gt;
|purpose=&amp;lt;sup&amp;gt;&amp;lt;/sup&amp;gt;&lt;br /&gt;
* [[Speedsolving]], [[FMC]]&lt;br /&gt;
|previous=[[Cross cube state]]&lt;br /&gt;
|next=[[F2L cube state]]&lt;br /&gt;
|previousimage=[[Image:VisualCube_3_Egell.png|120px|left|link=Cross cube state]]&lt;br /&gt;
|nextimage=[[Image:F2L_higlight.jpg|120px|right|link=F2L cube state]]&lt;br /&gt;
&lt;br /&gt;
}}&lt;br /&gt;
&#039;&#039;&#039;First Two Layers&#039;&#039;&#039;, or &#039;&#039;&#039;F2L&#039;&#039;&#039; refers to the first two bottom layers of the [[3x3x3 cube]], or essentially all layers up until the last layer on larger cubes.&lt;br /&gt;
&lt;br /&gt;
The definition is a little different depending on the subject or who you are talking to. Usually, it refers to the part of the [[CFOP]] and [[CFCE]] methods that solve the first two layers in [[pair]]s, excluding the [[cross]] step. Or it can refer to [[ZZ]]&#039;s F2L.&lt;br /&gt;
&lt;br /&gt;
[[2-gen]] F2L, most pairs (30 of 41) have the edge sitting in the U-layer having two orientations, it shows R or F colour at the side. If it is the R colour you can solve the pair using only RU and if it is the F colour you can turn the cube (y&#039;) and solve the pair to the back slot using only R and U moves. The only pairs that needs both R and F turns are the six ones with the edge unoriented in the slot, if the edge is oriented in the slot both ways works.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br clear=all&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Approaches ==&lt;br /&gt;
&lt;br /&gt;
=== Petrus F2L ===&lt;br /&gt;
&lt;br /&gt;
Another way to solve the &#039;F2L&#039; is by building blocks, common during the first two layers of the [[Petrus]] method.&lt;br /&gt;
&lt;br /&gt;
=== Fridrich F2L ===&lt;br /&gt;
&lt;br /&gt;
There are many ways to solve the &#039;F2L&#039; on a cube.  A common system is using the [[Fridrich]] method first two layer approach.  After solving the cross, a corner-edge pair is paired up (&#039;&#039;&#039;form pair&#039;&#039;&#039;), and then inserted into the correct slot (&#039;&#039;&#039;pair insertion&#039;&#039;&#039;).  A total of four corner edge (or &#039;CE&#039;) pairs are made and inserted to solve the first two layers.  This step of the cube should be done intuitively, even though there are algorithms for each case, algorithms should only be used for slower cases.&lt;br /&gt;
&lt;br /&gt;
The concept of pairing up four corner/edge pairs was first proposed in 1979 by [[John Conway]], [[David Benson]], and [[David Seal]] in two separate publications.[https://sites.google.com/view/methodlibrary/3x3-methods/cfop] The idea appeared in other publications starting in 1981.&lt;br /&gt;
&lt;br /&gt;
=== ZZ F2L ===&lt;br /&gt;
ZZ F2L is very similar to CFOP F2L, but there are some differences in ways you can pair up pieces. ZZ is more blockbuilding centered, and in result, F2L can be completed using block building and is thus more efficient.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
* [[CFOP]]&lt;br /&gt;
* [[Petrus]]&lt;br /&gt;
* [[ZZ]]&lt;br /&gt;
* [[Megaminx F2L]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{F2L}}&lt;br /&gt;
&lt;br /&gt;
==Basic Inserts==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 1 ===&lt;br /&gt;
[[Image:F2L01.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=GJAPWiFQlcY&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=1}}&lt;br /&gt;
{{Alg|R&#039; F R F&#039;|F2L|vidurl=https://www.youtube.com/watch?v=d4iMIP8e_bw&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=2}}&lt;br /&gt;
{{Alg|U2 (R U2 R&#039;)|F2L}}&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 2 ===&lt;br /&gt;
[[Image:F2L02.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|y&#039; U&#039; (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|U&#039; (F&#039; U F)|F2L}}&lt;br /&gt;
{{Alg|F R&#039; F&#039; R|F2L|vidurl=https://www.youtube.com/watch?v=xtiPZNtB428&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=3}}&lt;br /&gt;
{{Alg|y U&#039; (L&#039; U L)|F2L}}&lt;br /&gt;
{{Alg|d&#039; L&#039; U L|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 3 ===&lt;br /&gt;
[[Image:F2L03.png]]&lt;br /&gt;
&lt;br /&gt;
{{alg|F&#039; U&#039; F|F2L|vidurl=https://www.youtube.com/watch?v=hjGuFNoMRW0&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=4}}&lt;br /&gt;
{{Alg|y&#039; (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|y (L&#039; U&#039; L)|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 4 ===&lt;br /&gt;
[[Image:F2L04.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=EmUXH3oqdh4&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=5}}&lt;br /&gt;
{{Alg|y F U F&#039;|F2L}}&lt;br /&gt;
{{Alg|y&#039; f R f&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Reposition Edge==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 5 ===&lt;br /&gt;
[[Image:F2L05.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(U&#039; R U R&#039;) U2 (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=RyT5JGz41gw&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=6}}&lt;br /&gt;
{{Alg|(U&#039; R U R&#039;) U (R&#039; F R F&#039;)|F2L}}&lt;br /&gt;
{{Alg|U&#039; (R U R&#039;) U&#039; R U2 R&#039;|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|U F&#039; R&#039; F&#039; R F|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|U R F R&#039; F&#039; R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 6 ===&lt;br /&gt;
[[Image:F2L06.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|d (R&#039; U&#039; R) U2&#039; (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|y&#039; (U R&#039; U&#039; R) U2 (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|U&#039; (r U&#039; R&#039; U) (R U r&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=i2CSmZJc7Ck&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=7}}&lt;br /&gt;
{{Alg|y F2 (R U R&#039; U&#039;) F2|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|U&#039; F&#039; R&#039; F R F|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|U&#039; R F R F&#039; R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 7 ===&lt;br /&gt;
[[Image:F2L07.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; (R U2&#039; R&#039;) U2 (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=A_YHvH5y5vY&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=8}}&lt;br /&gt;
{{Alg|(U&#039; R U2 R&#039;)2|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 8 ===&lt;br /&gt;
[[Image:F2L08.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|d (R&#039; U2 R) U2&#039; (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|y&#039; U (R&#039; U2 R) U2 (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|U (R&#039; F R F&#039;)2 (R U&#039; R&#039;)|F2L}}&lt;br /&gt;
{{Alg|(r&#039; U2) (R2 U R2 U r)|F2L|vidurl=https://www.youtube.com/watch?v=TZdZqyFMFgs&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=9}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Reposition Edge and Flip Corner==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 9 ===&lt;br /&gt;
[[Image:F2L09.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; R U&#039; R&#039; d R&#039; U&#039; R |F2L}}&lt;br /&gt;
{{Alg|U&#039; R U&#039; R&#039; U (F&#039; U&#039; F)|F2L|vidurl=https://www.youtube.com/watch?v=uKp6lYvTTNc&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=10}}&lt;br /&gt;
{{Alg|d (R&#039; U&#039; R U&#039;) (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|F (R U R&#039; U&#039;) F&#039; R U&#039; R&#039;|F2L}}&lt;br /&gt;
{{Alg|y F2 (U R U&#039; R&#039;) F2|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|R&#039; U&#039; R F&#039; U&#039; F|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|F U&#039; F2&#039; U&#039; F|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 10 ===&lt;br /&gt;
[[Image:F2L10.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; (R U R&#039; U)(R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=gyyYICRQg5c&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=11}}&lt;br /&gt;
{{Alg|R d&#039; R U R&#039; U2 F&#039;|F2L}}&lt;br /&gt;
{{Alg|U F&#039; U F U&#039; R U R&#039;|F2L}}&lt;br /&gt;
{{Alg|d R&#039; U R d&#039; R U R&#039;|F2L}}&lt;br /&gt;
{{Alg|y2 B2 (U&#039; R&#039; U R) B2|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|F U F&#039; R U R&#039;|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|R&#039; U R2 U R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 11 ===&lt;br /&gt;
[[Image:F2L11.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; (R U2&#039; R&#039;) d (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|U&#039; (R U2&#039; R&#039;) U (F&#039; U&#039; F)|F2L|vidurl=https://www.youtube.com/watch?v=6yXzaZM3GEk&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=12}}&lt;br /&gt;
{{Alg|(y&#039;) R U2 R2 U&#039; R2 U&#039; R&#039;|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|L U2 L2 U&#039; L|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 12 ===&lt;br /&gt;
[[Image:F2L12.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|R U&#039; R&#039; U R U&#039; R&#039; U2 R U&#039; R&#039;|F2L|vidurl=https://www.youtube.com/watch?v=IW2wvQ2nC2o&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=14}}&lt;br /&gt;
{{Alg|R U2 R&#039; U2&#039; R U2&#039; R&#039; U2&#039; R U&#039; R&#039;|F2L}}&lt;br /&gt;
{{Alg|R&#039; U2 R2 U R2 U R|F2L|vidurl=https://www.youtube.com/watch?v=XdHHapolhKg&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=13}}&lt;br /&gt;
{{Alg|(U R U&#039; R&#039;) U&#039; (R U R&#039; U&#039;) (R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|R U R&#039; U (R&#039; F R F&#039;) (R U R&#039;)|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|R&#039; U2 R2 U R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 13 ===&lt;br /&gt;
[[Image:F2L13.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|d (R&#039; U R U&#039;) (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|y&#039; U (R&#039; U R U&#039;) (R&#039; U&#039; R)|F2L|vidurl=https://www.youtube.com/watch?v=Sjo7aOX6f8o&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=15}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) U (R&#039; F R F&#039;) (R U&#039; R&#039;)|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|F U F&#039; R&#039; U&#039; R|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 14 ===&lt;br /&gt;
[[Image:F2L14.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; (R U&#039; R&#039; U) (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=BwaDJAZaIpc&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=16}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|F U&#039; F&#039; R U R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Split Pair by Going Over==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 15 ===&lt;br /&gt;
[[Image:F2L15.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|R&#039; D&#039; R U&#039; R&#039; D R U (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=m0Uve1y-8tE&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=17}}&lt;br /&gt;
{{Alg|(F&#039; U F) U2 (R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|U (R&#039; F R F&#039;) U (R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|R U2 R&#039; U R U R&#039; U R U&#039; R&#039;|F2L}}&lt;br /&gt;
{{Alg|R U R&#039; U2 R U&#039; R&#039; U R U&#039; R&#039;|F2L}}&lt;br /&gt;
{{Alg|R U&#039; R U2&#039; R2&#039; U&#039; R2 U&#039; R2&#039;|F2L}}&lt;br /&gt;
{{Alg|U&#039; R2 U2 R U&#039; R&#039; U R&#039; U2 R2|F2L}}&lt;br /&gt;
{{Alg|U2 (R U R&#039; U&#039;) R U2 R&#039; U R U R&#039;|F2L}}&lt;br /&gt;
{{Alg|U&#039; R&#039; U2 R&#039; U R&#039; U&#039; R U2 R|F2L}}&lt;br /&gt;
{{Alg|R U&#039; R U2 R2 U&#039; R2 U&#039; R2|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|U&#039; (R&#039; U R U&#039;) (R U R&#039;)|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|U (R U&#039; R&#039;) D (R U&#039; R&#039;) D&#039;|F2L}}&lt;br /&gt;
{{Alg|R F U F&#039; U&#039; R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 16 ===&lt;br /&gt;
[[Image:F2L16.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U) d (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) U2 (F&#039; U&#039; F)|F2L|vidurl=https://www.youtube.com/watch?v=Rf5jEBMOUnc&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=18}}&lt;br /&gt;
{{Alg|(U) R (F R U R&#039; U&#039; F&#039;) R&#039;|F2L}}&lt;br /&gt;
{{Alg|y&#039; U R U2 R U&#039; R U R&#039; U2 R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|F&#039; R&#039; U&#039; R U F|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 17 ===&lt;br /&gt;
[[Image:F2L17.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U2 R&#039;) U&#039; (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=ncxTAoW7jow&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=19}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 18 ===&lt;br /&gt;
[[Image:F2L18.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|y&#039; (R&#039; U2 R) U (R&#039; U&#039; R)|F2L|vidurl=https://www.youtube.com/watch?v=NotJBG5dR6w&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=20}}&lt;br /&gt;
{{Alg|y (L&#039; U2 L) U (L&#039; U&#039; L)|F2L}}&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;) (R U R&#039; U&#039;) F R&#039; F&#039; R |F2L}}&lt;br /&gt;
{{Alg|(R&#039; F R F&#039;) (R U&#039; R&#039; U) (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=Jhnm4pk86A4&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=21}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Pair Made on Side==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 19 ===&lt;br /&gt;
[[Image:F2L19.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Alg|U (R U2 R&#039;) U (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=EodPFBbDBME&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=22}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U)2 R U R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 20 ===&lt;br /&gt;
[[Image:F2L20.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Alg|y&#039; U&#039; (R&#039; U2 R) U&#039; (R&#039; U R)|F2L|vidurl=https://www.youtube.com/watch?v=Am2sBaR-xVs&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=23}}&lt;br /&gt;
{{Alg|U&#039; (R U&#039; R2&#039; F R F&#039;) (R U&#039; R&#039;)|F2L}}&lt;br /&gt;
{{Alg|y&#039; (R&#039; U R U&#039;)2 R&#039; U&#039; R|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 21 ===&lt;br /&gt;
[[Image:F2L21.png]]&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) U2 (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=xgz0P4IQ0Z8&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=25}}&lt;br /&gt;
{{Alg|U2 (R U R&#039; U)(R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=6M2nkaooAZk&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=24}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 22 ===&lt;br /&gt;
[[Image:F2L22.png]]&lt;br /&gt;
{{Alg|y&#039; (R&#039; U R) U2 (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|y&#039; U2 (R&#039; U&#039; R U&#039;) (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg| r U&#039; r&#039; U2 r U r&#039;|F2L|vidurl=https://www.youtube.com/watch?v=0IpO4zFYFoo&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=26}}&lt;br /&gt;
{{Alg|U (F R U R&#039; U&#039; F&#039;) R U R&#039; U2&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Weird==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 23 ===&lt;br /&gt;
[[Image:F2L23.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U2 R2 U2 (R&#039; U&#039; R U&#039;) R2|F2L}}&lt;br /&gt;
{{Alg|U (F R&#039; F&#039; R) U (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=UCt8j8uCNMk&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=28}}&lt;br /&gt;
{{Alg|U R U&#039; R&#039; U&#039; R U&#039; R&#039; U R U&#039; R&#039;|F2L|vidurl=https://www.youtube.com/watch?v=ZkLqXWiLFAg&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=27}}&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;) U&#039; (R U R&#039; U&#039;)(R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|R U&#039; R&#039; U&#039; (R U R&#039;) U2 (R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|R2 U R&#039; U R U2 R&#039; U&#039; R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 24 ===&lt;br /&gt;
[[Image:F2L24.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U R&#039;) d (R&#039; U R U&#039;) (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|y&#039; (R&#039; U&#039; R U) U (R&#039; U&#039; R U)(R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|y&#039; U2 R2 U2 (R U R&#039; U) R2|F2L}}&lt;br /&gt;
{{Alg|U&#039; (R U) (R2&#039; F R F&#039;) (R U&#039; R&#039;)|F2L}}&lt;br /&gt;
{{Alg|F U (R U&#039; R&#039; F&#039;)(R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=6HbnAQY-aVM&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=29}}&lt;br /&gt;
{{Alg|(R U R&#039; U) (R U R&#039; U&#039;) (F R&#039; F&#039; R)|F2L}}&lt;br /&gt;
{{Alg|(R U R&#039; U) (R U2 R&#039;) F&#039; U2 F|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Corner in Place, Edge in U Face==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 25 ===&lt;br /&gt;
[[Image:F2L25.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; (R&#039; F R F&#039;) (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=S9257JxJwZk&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=30}}&lt;br /&gt;
{{Alg|R&#039; U&#039; R&#039; U&#039; R&#039; U R U R|F2L}}&lt;br /&gt;
{{Alg|U&#039; (F&#039; U F) U (R U&#039; R&#039;)|F2L}}&lt;br /&gt;
{{Alg|R&#039; F&#039; R U R U&#039; R&#039; F|F2L}}&lt;br /&gt;
{{Alg|(U&#039;) F&#039; R U R&#039; U&#039; R&#039; F R|F2L|vidurl=https://www.youtube.com/watch?v=Lw0cHb3nT4o&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=31}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U&#039;) (R U&#039; R&#039; U) (R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|(U) (R&#039; U&#039; R&#039; U&#039;) R2 (U R U R)|F2L}}&lt;br /&gt;
{{Alg|(U2) (R&#039; U&#039; R&#039; U&#039; R U R U R)|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|R2 U&#039; R&#039; U R2|F2L}}&lt;br /&gt;
{{Alg|U D&#039; R U&#039; R&#039; D|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 26 ===&lt;br /&gt;
[[Image:F2L26.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|y&#039; R U R U R U&#039; R&#039; U&#039; R&#039;|F2L}}&lt;br /&gt;
{{Alg|U (R U&#039; R&#039;) U&#039; (F&#039; U F)|F2L}}&lt;br /&gt;
{{Alg|U (R U&#039; R&#039;) (F R&#039; F&#039; R)|F2L|vidurl=https://www.youtube.com/watch?v=gr9h0xiXWjM&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=32}}&lt;br /&gt;
{{Alg|y&#039; (U&#039;) R U R U R2 U&#039; R&#039; U&#039; R&#039;|F2L}}&lt;br /&gt;
{{Alg|y&#039; (U2) R U R U R&#039; U&#039; R&#039; U&#039; R&#039;|F2L}}&lt;br /&gt;
{{Alg|r U r&#039; U2 r U r&#039; U2 r U&#039; r&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
{{Alg| U (l F&#039; l&#039;) (F R&#039; F&#039; R)|F2L}}&lt;br /&gt;
{{Alg| d (R B&#039; R&#039; B) (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 27 ===&lt;br /&gt;
[[Image:F2L27.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U)(R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=JBYRStpmDL8&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=33}}&lt;br /&gt;
{{Alg|(R U&#039; R2)(F R F&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=YaWkhs1cUj4&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=34}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 28 ===&lt;br /&gt;
[[Image:F2L28.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;) F R&#039; F&#039; R |F2L}}&lt;br /&gt;
{{Alg|(R U R&#039;) d (R&#039; U2 R) |F2L}}&lt;br /&gt;
{{Alg|y (L&#039; U L U&#039;) (L&#039; U L)|F2L|vidurl=https://www.youtube.com/watch?v=_VWlb_5SrsI&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=35}}&lt;br /&gt;
{{Alg|y&#039; (R&#039; U R U&#039;)(R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|(R U R&#039;) U (F&#039; U2 F)|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 29 ===&lt;br /&gt;
[[Image:F2L29.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|y&#039; (R&#039; U&#039; R U)(R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|U2 (R U&#039; R&#039;) y&#039; (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|(R&#039; F R F&#039;)2|F2L}}&lt;br /&gt;
{{Alg|(R&#039; F R F&#039;) (U R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=EvCzppFMLCs&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=36}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 30 ===&lt;br /&gt;
[[Image:F2L30.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;)(R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=MDy2EhrraRE&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=37}}&lt;br /&gt;
{{Alg|U2 (F&#039; U F)(R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|U&#039; (R U2 R&#039;)U2 (R U R&#039;)|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Edge in Place, Corner in U face==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 31 ===&lt;br /&gt;
[[Image:F2L31.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) d (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U)(F&#039; U F)|F2L}}&lt;br /&gt;
{{Alg|U&#039; (R&#039; F R F&#039;) (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=YflQOzAiK5s&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=38}}&lt;br /&gt;
{{Alg|R U2 R&#039; U&#039; F R&#039; F&#039; R|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 32 ===&lt;br /&gt;
[[Image:F2L32.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;)2 (R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|(U R U&#039; R&#039;)3|F2L|vidurl=https://www.youtube.com/watch?v=-xHjZYwAvWk&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=39}}&lt;br /&gt;
{{Alg|U&#039; (R U R&#039; U&#039;) (R U R&#039; U) (R U&#039; R&#039;)|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 33 ===&lt;br /&gt;
[[Image:F2L33.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; (R U&#039; R&#039;) U2&#039; (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=l49Oin4njnY&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=40}}&lt;br /&gt;
{{Alg|(U&#039; R U&#039; R&#039;) U2 (R U&#039; R&#039;)|F2L}}&lt;br /&gt;
{{Alg|y U&#039; (L&#039; U&#039; L) U2 (L&#039; U&#039; L)|F2L}}&lt;br /&gt;
&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|u R U&#039; R&#039; u&#039;|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|E F&#039; U&#039; F u|F2L}}&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 34 ===&lt;br /&gt;
[[Image:F2L34.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U (F&#039; U F) U2 (F&#039; U F)|F2L}}&lt;br /&gt;
{{Alg|U&#039; (R U2&#039; R&#039;) U (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=uLiLxtW2lko&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=42}}&lt;br /&gt;
{{Alg|U (R U R&#039;) U2 (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=1Zh-CRRe0E4&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=41}}&lt;br /&gt;
{{Alg|d (R&#039; U R) U2 (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|y (U L&#039; U L) U2 (L&#039; U L)|F2L}}&lt;br /&gt;
{{Alg|U y F U2 R U2 R&#039; F&#039;|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|E&#039; R U R&#039; E|F2L}}&lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|u&#039; F&#039; U F u|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 35 ===&lt;br /&gt;
[[Image:F2L35.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U&#039; R U R&#039; U (F&#039; U&#039; F)|F2L|vidurl=https://www.youtube.com/watch?v=ZYv09SLzoKw&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=43}}&lt;br /&gt;
{{Alg|(U&#039; R U R&#039;) d (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|U2 (R U&#039; R&#039;) U&#039; (F&#039; U&#039; F)|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 36 ===&lt;br /&gt;
[[Image:F2L36.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|U F&#039; U&#039; F U&#039; (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=cfa5NlJaxZ8&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=44}}&lt;br /&gt;
{{Alg|U2 (R&#039; F R F&#039;) U2 (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=PXry0dwYwgE&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=45}}&lt;br /&gt;
{{Alg|y&#039; U (R&#039; U&#039; R U&#039;) y (R U R&#039;)|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Edge and Corner in Place==&lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;0&amp;quot; width=&amp;quot;100%&amp;quot; valign=&amp;quot;top&amp;quot; cellpadding=&amp;quot;3&amp;quot;&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
=== F2L 37 ===&lt;br /&gt;
[[Image:F2L37.png]]&lt;br /&gt;
&lt;br /&gt;
Solved&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 38 ===&lt;br /&gt;
[[Image:F2L38.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R&#039; F R F&#039;) (R U&#039; R&#039; U) (R U&#039; R&#039; U2) (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=hnuvQDHvvOQ&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=47}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) d (R&#039; U2 R) U2&#039; (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|(R U R&#039;) U2 (R U2 R&#039;) d (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|(R2 U2) (F R2 F&#039;) (U2 R&#039; U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=Yo29cluMUNc&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=46}}&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;)(R U2 R&#039; d)(R&#039; U&#039; R U&#039; R&#039; U R)|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|R U&#039; R2 U2 R U&#039; F&#039; U F|F2L}}&lt;br /&gt;
{{Alg|R U&#039; R2 U2 R F R&#039; F&#039; R|F2L}}&lt;br /&gt;
{{Alg|R U&#039; R2 U2 R U2 F&#039; U2 F|F2L}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 39 ===&lt;br /&gt;
[[Image:F2L39.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) U&#039; (R U R&#039;) U2 (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=ji7XpGGcrWs&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=48}}&lt;br /&gt;
{{Alg|y&#039; (R&#039; U&#039; R) U2 (R&#039; U R U&#039;) (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;) (R U2 R&#039;) U&#039; (R U R&#039;)|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 40 ===&lt;br /&gt;
[[Image:F2L40.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U)(R U2&#039; R&#039;) U (R U&#039; R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=vq-vBqWFuec&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=49}}&lt;br /&gt;
{{Alg|(R U R&#039;) U2 (R U&#039; R&#039; U)(R U R&#039;)|F2L}}&lt;br /&gt;
{{Alg|(R U2) (R U R&#039; U) (R U2 R2&#039;)|F2L}}&lt;br /&gt;
{{Alg|y&#039; R2 U2 R U R&#039; U R U2 R|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 41 ===&lt;br /&gt;
[[Image:F2L41.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(r U&#039; r&#039;) U2 (r U r&#039;) (R U R&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=u_RyH_2Kqhw&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=50}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) d (R&#039; U&#039; R U&#039;) (R&#039; U&#039; R)|F2L}}&lt;br /&gt;
{{Alg|R U&#039; R&#039; U&#039; R U&#039; R&#039; d R&#039; U&#039; R|F2L}}&lt;br /&gt;
{{Alg|R (F U R U&#039; R&#039; F&#039;) U&#039; R&#039;|F2L}}&lt;br /&gt;
If the back right slot is open:&lt;br /&gt;
{{Alg|R U&#039; R2 U&#039; R y&#039; R&#039; U&#039; R y|F2L}}&lt;br /&gt;
&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=== F2L 42 ===&lt;br /&gt;
[[Image:F2L42.png]]&lt;br /&gt;
&lt;br /&gt;
{{Alg|(R U&#039; R&#039;) (r U&#039; r&#039;) U2 (r U r&#039;)|F2L|vidurl=https://www.youtube.com/watch?v=DpuAOiDiin4&amp;amp;list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv&amp;amp;index=51}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U) d (R&#039; U&#039; R U&#039;) (R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|(R U&#039; R&#039; U2) y&#039; (R&#039; U&#039; R U&#039; R&#039; U R)|F2L}}&lt;br /&gt;
{{Alg|(R U R&#039; U&#039;) (R U&#039; R&#039;) U2 (F&#039; U&#039; F)|F2L}}&lt;br /&gt;
{{Alg| R U (F R U R&#039; U&#039; F&#039;) R&#039;|F2L}} &lt;br /&gt;
If the front left slot is open:&lt;br /&gt;
{{Alg|y&#039; R&#039; U R2 U R&#039; y R U R&#039;|F2L}}&lt;br /&gt;
&lt;br /&gt;
|-valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
* [[Keyhole First Two Layers]]&lt;br /&gt;
* [[Intuitive solving]]&lt;br /&gt;
* [[Advanced F2L]]&lt;br /&gt;
* [[ZZ F2L]]&lt;br /&gt;
* [[ZBLS]]&lt;br /&gt;
* [[Fridrich Method]]&lt;br /&gt;
* [[Petrus Method]]&lt;br /&gt;
&lt;br /&gt;
== External Resources ==&lt;br /&gt;
=== Beginner ===&lt;br /&gt;
* [http://rishidoshi.blogspot.com/ RiDo&#039;s Hunting Story] Uses a simple analogy method for F2L, but not comprehensive&lt;br /&gt;
* [https://docs.google.com/document/d/1npPMcy2Vv-jjUB7wr0gHE0rESuwUgba_D7vT2OUzvTQ/mobilebasic?pli=1 Beginner&#039;s F2L: 3 steps for every case] Excellent F2L guide covering every scenario&lt;br /&gt;
&lt;br /&gt;
=== Standard ===&lt;br /&gt;
* [https://www.cuberoot.me/f2l/ CubeRoot F2L algs]&lt;br /&gt;
* [http://speedcubedb.com/a/3x3/F2L Speedcubedb F2L List]&lt;br /&gt;
* [https://www.youtube.com/playlist?list=PLdk3ru-JmBhRftTzKjHFnAF--oVaH9wGv Full execution and alternatives for all F2L cases]&lt;br /&gt;
* [https://www.youtube.com/watch?v=Ar_Zit1VLG0 (VIDEO) Learn F2L in 6 minutes (Full Intuitive F2L Tutorial)]&lt;br /&gt;
* [http://erikku.er.funpic.org/rubik/F2L.html Erik Akkersdijk&#039;s F2L Cases (from his old site)]&lt;br /&gt;
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/f2l/f2l Dan Harris&#039;s F2L Cases]&lt;br /&gt;
* [http://www.opticubes.com/cubing/f2l/ Opticubes.com Optimal F2L Cases]&lt;br /&gt;
* [http://jmbaum.110mb.com/f2l.htm Jason Baum&#039;s F2L Cases]&lt;br /&gt;
* [http://www.kungfoomanchu.com/#333speedcubing Andy Klise&#039;s Printable F2L PDF]&lt;br /&gt;
* [http://www.cubeloop.com/php/cube/advanced.php?chapter=f2l CubeLoop F2L Algs]&lt;br /&gt;
* [http://www.cubewhiz.com/pll.php Bob Burton&#039;s F2L Cases]&lt;br /&gt;
* [http://cubefreak.net/speed/advancedf2l/standard.php F2L algs for every case from all angles by Shotaro Makisumi]&lt;br /&gt;
* Youtube: [http://www.youtube.com/watch?v=J8Yl3lioY8c How to get faster at the 3x3 Rubik&#039;s cube - F2L] - by Feliks Zemdegs&lt;br /&gt;
* Youtube: [http://www.youtube.com/watch?v=k-xbcAMfWwM Rubik&#039;s Cube: Fridrich F2L explained] - by Badmephisto&lt;br /&gt;
* [https://www.speedcubingtips.eu/base-de-donnees-f2l/ Speedcubingtips.eu F2L algs]&lt;br /&gt;
* [https://www.speedcubingtips.eu/fl2-animes/ Speedcubingtips.eu F2L algs animated version]&lt;br /&gt;
&lt;br /&gt;
=== Advanced ===&lt;br /&gt;
* [https://www.cuberoot.me/f2l-speffz-naming/ F2L Speffz Naming]&lt;br /&gt;
* [https://www.cuberoot.me/3x3-f2l/ CubeRoot advanced F2L algs]&lt;br /&gt;
* Youtube: [https://www.youtube.com/playlist?list=PL83bqDZwr97mik_tbQrCJQQcXsb-wzC53 Viktor Danilov Expert F2L (Russian language)]&lt;br /&gt;
* Database: [http://algs.expertcuber.by/ Website for Viktor Danilov F2L series]&lt;br /&gt;
* [http://www.speedsolving.com/forum/showthread.php?t=15050 Erik Expert F2L tutorial]&lt;br /&gt;
* [http://cubefreak.net/advancedf2l/ Cubefreak Advanced F2L]&lt;br /&gt;
* [http://pagesperso-orange.fr/absolutemind/ms-angl.html Multislotting Tutorial]&lt;br /&gt;
* [https://www.speedcubingtips.eu/multislotting-resoudre-deux-f2l-ensemble/ Speedcubingtips.eu multislotting algs]&lt;br /&gt;
* [https://www.speedcubingtips.eu/f2l-et-empty-slots/ Speedcubingtips.eu F2L - use of empty slot algs] &lt;br /&gt;
* [https://www.speedcubingtips.eu/f2l-et-pieces-coincees-stuck-pieces/ Speedcubingtips.eu F2L and stuck pieces cases]&lt;br /&gt;
* [https://www.cuberoot.me/f2l-time-attack/ F2L time attack]&lt;br /&gt;
&lt;br /&gt;
== F2L Trainers ==&lt;br /&gt;
[https://speedcubedb.com/t SpeedCubeDB trainer - for all sets and orientations]&lt;br /&gt;
&lt;br /&gt;
[http://expertcuber.by/ ExpertCuber.by]&lt;br /&gt;
&lt;br /&gt;
[[Category:3x3x3 other substeps]]&lt;br /&gt;
&lt;br /&gt;
__NOTOC__&lt;/div&gt;</summary>
		<author><name>Iguana</name></author>
	</entry>
	<entry>
		<id>https://www.speedsolving.com/wiki/index.php?title=1LLL&amp;diff=59833</id>
		<title>1LLL</title>
		<link rel="alternate" type="text/html" href="https://www.speedsolving.com/wiki/index.php?title=1LLL&amp;diff=59833"/>
		<updated>2026-07-21T19:31:03Z</updated>

		<summary type="html">&lt;p&gt;Iguana: Corrected some grammar&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Method Infobox&lt;br /&gt;
|name=1LLL&lt;br /&gt;
|image=1LLL.jpg&lt;br /&gt;
|proposers=[[Bernard Helmstetter]]&lt;br /&gt;
|year=2000&lt;br /&gt;
|anames= OLLCP-EP&lt;br /&gt;
|variants=[[ZBLL]]&amp;lt;br&amp;gt;[[M-CELL]]&lt;br /&gt;
|steps=1&lt;br /&gt;
|algs=&#039;&#039;&#039;3915&#039;&#039;&#039;&lt;br /&gt;
|moves=12.58 [[HTM]]&lt;br /&gt;
|purpose=&amp;lt;sup&amp;gt;&amp;lt;/sup&amp;gt;&lt;br /&gt;
* [[Speedsolving]], however the multitude of algorithms makes it much less useful in whole&lt;br /&gt;
* [[FMC]]&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;1&#039;&#039;&#039; &#039;&#039;&#039;L&#039;&#039;&#039;ook &#039;&#039;&#039;L&#039;&#039;&#039;ast &#039;&#039;&#039;L&#039;&#039;&#039;ayer means completing the [[last layer]] using only one look. On the 3x3, currently [[ZBLL]] is the only known practical system for achieving a 1-look last layer, but other experimental approaches such as 1-look 2-alg (such as [[M-CELL]]) may have potential. In 2022, &#039;&#039;&#039;Eduardo Silva Damasceno&#039;&#039;&#039; became the first person to ever learn all 1LLL algorithms.&lt;br /&gt;
&lt;br /&gt;
A non-optimised database for all 1LLL algorithms &amp;amp; cases can be found at http://birdflu.lar5.com&lt;br /&gt;
&lt;br /&gt;
== Number of 1LLL Cases ==&lt;br /&gt;
&lt;br /&gt;
Assuming the last layer is an outer layer, the number of cases is calculated as:&lt;br /&gt;
: corner orientations * edge orientations * corner permutations * edge permutations / 2&lt;br /&gt;
With the 2 at the end because of odd-even parity.&lt;br /&gt;
&lt;br /&gt;
Numerically this is:&lt;br /&gt;
: &amp;lt;span style=&amp;quot;color:red&amp;quot;&amp;gt;3^3&amp;lt;/span&amp;gt; * &amp;lt;span style=&amp;quot;color:orange&amp;quot;&amp;gt;2^3&amp;lt;/span&amp;gt; * &amp;lt;span style=&amp;quot;color:green&amp;quot;&amp;gt;4!&amp;lt;/span&amp;gt; * &amp;lt;span style=&amp;quot;color:purple&amp;quot;&amp;gt;4!&amp;lt;/span&amp;gt; / 2 = &#039;&#039;&#039;62208&#039;&#039;&#039;&lt;br /&gt;
* The &amp;lt;span style=&amp;quot;color:red&amp;quot;&amp;gt;3^3&amp;lt;/span&amp;gt; at the beginning is because there are 4 corners on the last layer while the final one depends on the remaining three.&lt;br /&gt;
* The &amp;lt;span style=&amp;quot;color:orange&amp;quot;&amp;gt;2^3&amp;lt;/span&amp;gt; is because there are 4 edges on the last layer while the final one depends on the remaining three.&lt;br /&gt;
&lt;br /&gt;
Treating cases which are the same, but rotated by 90, 180 or 270 degrees as the same case, the number of cases becomes:&lt;br /&gt;
: 62208/4 = &#039;&#039;&#039;15552&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Although these cases may be regarded as unique, some of them can be solved by applying the same algorithm from a different angle. For cases with no rotational symmetry, there are 3 equivalent cases which may be solved with the same alg. For cases with 180 degree rotational symmetry, there is 1 equivalent case which may be solved with the same alg. Cases with 90, 180 and 270 degree rotational symmetry are unique. By solving multiple cases with the same algorithm from different angles, the number of cases becomes:&lt;br /&gt;
: &#039;&#039;&#039;3916&#039;&#039;&#039; cases (including the solved state / [[AUF]] states and subsets such as [[PLL]], [[ELL]], [[2GLL]], [[L4C]] and [[ZBLL]]) which can be solved with &#039;&#039;&#039;3915&#039;&#039;&#039; algorithms&lt;br /&gt;
&lt;br /&gt;
As well as rotationally symmetrical cases, there are also reflectively symmetrical cases. These may be solved by applying a reflection of the algorithm. Finally, some cases are inversions of others. These can be solved by reversing (inverting) the algorithm solving the original case. Exactly which cases are mirrors of each other requires a case-by-case analysis. Work by Bernard Helmstetter established that the number unique 1LLL cases (excluding mirrors and inverses) is:&lt;br /&gt;
: &#039;&#039;&#039;1212&#039;&#039;&#039; cases (including the solved / [[AUF]] states) which can be solved with &#039;&#039;&#039;1211&#039;&#039;&#039; algorithms&lt;br /&gt;
&lt;br /&gt;
Since most speed solvers regard reflective symmetry and inversions as different cases (e.g. [[PLL]] is thought of as 21 algorithms rather than 13 algorithms plus mirrors and inverses), 1LLL should be thought of as &#039;&#039;&#039;3915&#039;&#039;&#039; algorithms.&lt;br /&gt;
&lt;br /&gt;
[[PLL]], [[ELL]], and [[ZBLL]] are all subsets of 1LLL, albeit a small proportion of the algorithms. Knowing some of these subsets means less algorithms need to be learnt for a 1LLL:&lt;br /&gt;
&lt;br /&gt;
*If the solver already knows all 21 [[PLL]] cases, which is a subset of [[ZBLL]], there would be &#039;&#039;&#039;3894&#039;&#039;&#039; algorithms to learn.&lt;br /&gt;
*If the solver already knows all 493 [[ZBLL]] cases, there would be &#039;&#039;&#039;3422&#039;&#039;&#039; algorithms to learn.&lt;br /&gt;
*If the solver already knows all 29 [[ELL]] cases, there would be &#039;&#039;&#039;3886&#039;&#039;&#039; algorithms to learn.&lt;br /&gt;
*If the solver already knows all 518 [[ELL]] and [[ZBLL]] cases (4 [[EPLL]] cases appear in both sets), there would be &#039;&#039;&#039;3397&#039;&#039;&#039; algorithms to learn.&lt;br /&gt;
&lt;br /&gt;
It should be noted that additional subsets of 1LLL also exist such as [[L3C]] (subset of L4C, which is a subset of ZBLL) , Pure OLL (orientation without affecting permutation), [[ZZLL]] (subset of ZBLL), [[ZZ-blah]] (subset of ZBLL), [[Tripod]] LL and more.&lt;br /&gt;
&lt;br /&gt;
== List of 1LLL subsets ==&lt;br /&gt;
* [[ZBLL]] (includes [[PLL]])&lt;br /&gt;
* [[ELL]]&lt;br /&gt;
* [[Tripod LL]] &lt;br /&gt;
* [[Line]]&lt;br /&gt;
* [[Flipped Line]] &lt;br /&gt;
* [[Pure OLL]]&lt;br /&gt;
{{work}}&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
* [[Last Layer]]&lt;br /&gt;
* [[:Category:3x3x3 last layer methods]]&lt;br /&gt;
* [[2LLL]], [[3LLL]], [[4LLL]]&lt;br /&gt;
* [[ZBLL]]&lt;br /&gt;
* [[Orientation]]&lt;br /&gt;
* [[Permutation]]&lt;br /&gt;
&lt;br /&gt;
== External links ==&lt;br /&gt;
&lt;br /&gt;
* [https://bit.ly/cuberoot1lll CubeRoot 1LLL &amp;amp; Trainer]&lt;br /&gt;
* [https://www.cuberoot.me/1lll/ CubeRoot 1LLL (outdated)]&lt;br /&gt;
* [https://speedcubedb.com/a/3x3/1LLL SpeedCubeDB - ALL 3916 cases of 1LLL ]&lt;br /&gt;
* [http://www.ai.univ-paris8.fr/~bh/cube/ Bernard Helmstetter&#039;s last layer algorithms]&lt;br /&gt;
* [http://www.speedcubing.com/docs/uppertable.zip 1211 last layer algorithms(1MB zipped)]&lt;br /&gt;
* [https://drive.google.com/file/d/1-kf9bSQwUEMFOkyuCuLZj9XNQLzkuk_L/view JackLove314&#039;s speed-optimised 1LLL algorithms]&lt;br /&gt;
* [https://docs.google.com/spreadsheets/d/1jZXg7rnuXtMiDbTo9mgwgSZZI7rskK90XXOiP_-dU98/edit#gid=0 Daniel Rose-Levine&#039;s 1LLL algorithms]&lt;br /&gt;
* [https://drive.google.com/drive/folders/1tDpBPZlvhvdwsoq64MioeN5sRk9dmXtR?usp=sharing Last Layer King&#039;s 1LLL algorithms]&lt;br /&gt;
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=51999 1LLL/OLLCP-EP algorithms]&lt;br /&gt;
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=55518 BindeDSA&#039;s Algorithms]&lt;br /&gt;
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=12815 3x3 last layer: number of positions]&lt;br /&gt;
* Speedsolving.com: [http://www.speedsolving.com/forum/showpost.php?p=440250&amp;amp;postcount=31 Derivation of unique PLL cases]&lt;br /&gt;
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=53675 Hierarchy of Last Layer Sub-Steps, Subsets of OLLCP and ZBLL]&lt;br /&gt;
&lt;br /&gt;
[[Category:3x3x3 last layer substeps]]&lt;br /&gt;
[[Category:3x3x3 methods]]&lt;/div&gt;</summary>
		<author><name>Iguana</name></author>
	</entry>
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