Speedsolving.com Wiki - User contributions [en]

ZZ-CT

2016-08-01T19:24:33Z

Twright: /* Example Solves: */ added alg.cubing page

{{Method Infobox
|name=ZZ-CT
|image=Eoline.gif
|proposers=[[Chris Tran]]
|year=2015
|anames=
|variants=
|steps=4 (EOLine, F2L-1, TSLE, TTLL)
|algs=200
|moves= 40-50
|purpose=<sup></sup>
* [[Speedsolving]]
}}

'''ZZ-CT''' is a [[3x3]] method proposed by [[Chris Tran]]. It is a variant of the [[ZZ Method]] with a unique 2 look LSLL, divided into TSLE and TTLL.

'''TSLE''' inserts the last edge whilst orienting all corners. The D corner is completely ignored, and is recognized purely from corner orientation and shape, just like an OLL.(108 cases, all trivial) This step is 100% 2-gen and all states can be solved by a linear combination of '''at most three''' R U R', R U' R', or R U2 R' triggers, which permits simple memorization and executions. Many of the TSLE insertions are the same as the traditional F2L algorithm, and has a much lower move count than other last slot methods since it ignores permutation of the corners and edges except UF. Using RUD, LUR, and non-2gen algorithms improves upon ergonomics and move count and allows for even shorter inserts.

'''TTLL''' forces an LL Skip with only 72 cases (42 w/mirrors, 30 non-trivial). It is named after Chris Tran (creator) and Blake Thompson ( who generated a significant fraction of the algorithms)

==Steps==
# [[EOLine]]
# F2L-1
# TSLE: Insert last edge and orient corners. ''(Tran Style Last Edge - 108 cases)'' 100% 2-gen
# TTLL: Force an LL skip. ''(Tran-Thompson Last Layer - 72 cases)'' 33% 2-gen

==History:==

ZZ-CT was created with the intention of fixing everything wrong with ZBLL, and to create the first feasible LL-Skip method under 200 algorithms. Several months of brainstorming and evolution led to ZZ-CT, as reported herein:

The core fundamental concept is the orientation of corners before reaching last layer.

By abusing rotational symmetry probabilities of oriented pieces, it was observed that LL Skip algorithm count could be reduced by at least an order of magnitude or more. This pre-orientation also allowed for simple and obvious recognition of permutation.

The first incarnation of this method was one which oriented all corners during the completion of the third slot, and then forced LL skip (~800-1000 algorithms).

ZZ-HW was the next big improvement, which oriented all corners and inserted the corner in the fourth slot, followed by forced LL skip(~200 algorithms). However, this method was limited by algorithm ergonomics, since diagonal corner swap and edge insertion algorithms are too long and are not sufficiently ergonomic for competitive speedsolving purposes.

By maintaining the same concept and algorithms, but instead inserting ''an edge instead of a corner''. This ergonomic barrier was not only overcome, but completely annihilated in comparison. The overall quality and movecount was dramatically enhanced due to the properties of corner permutation.

This property serendipitously yielded very surprisingly short, ergonomic algorithms such as x' (R' U R U')*3 and R2 U2 R2 U' R2 U' R2. Additionally, an entire 12 case RUD subset was observed to be completely regripless.

==Advantages:==

When compared with ZBLL, ZZ-CT solves the issues of large algorithm count, recognition, statistical hindrances, practise requirement, and steep learning curve by having a significantly '''lower algorithm count''', obvious colour blocks '''(PLL-style recognition)''', and '''better statistics''' for the same amount of looks.

TSLE is easily recognised, only involving the orientation of corners and finding the last edge.
This requires a similar mental load as OLL, and does not require knowing where the last LS corner is.

The concept intuitive edge control in CFOP, can also be tweaked to simplify TSLE.

For example, in CFOP, intuitive edge control is seeing that there are no oriented edges and doing R' F R F'(sledgehammer) instead of U R U' R'. This ensures no dot cases, reducing OLL by 7 cases.

In ZZ-CT, intuitive corner control is as simple as observing when there are no oriented corners, and doing R' U2 R instead of U R' U R during third slot to avoid all misoriented corners, which reduces TSLE by 16 cases. Intuitive corner control can even force superior TSLE cases with better execution, recognition, and move count, in the same way that intuitive edge control forces a better OLL.

Lookahead into TTLL is also similar to lookahead into PLL during OLL.
Since ''oriented colour blocks'' are being put together, it is easier to predict the last algorithm. This is opposed to ZBLL, in which formation of LS brings together ''misoriented colour blocks'', which are harder to discern for lookahead purposes.

Statistically, ZZ-CT leads to good single times due to the following attributes:
# PLL occurs 20% of the time (1 out of 5 solves). Leading to a well known algorithm that most cubers already know.
# True LL skip (fully solved cube after TSLE) occurs 1 out of 360 solves (0.27%), as compared with 0.0064% in CFOP(1 out of 15552 solves), and 0.051% in ZZ(1 out of 1944 solves). Which means that the probability is increased by multiple orders of magnitude.
# 2-Gen EVERYTHING occurs 29% of the time, which is twice as much as ZBLL (15% chance), and sixteen times greater than CFOP (1.8% chance).
# Individual TTLL probabilities are similar to OLL. In comparison, the statistics for ZBLL cases are profoundly lower. This means that some cases will only pop up every few days during solves, meaning that it requires much less practice to execute TTLL than ZBLL.
# TSLE is skipped approximately one out of every 405 solves (0.24%), which adds another level of reduced single times.

Additionally, several algorithms are simply cancelled or conjugated PLL algorithms.

For example, executing the first move in the G-Perm (R U R' y' R2 u' R U' R' U R' u R2) with an R' instead of an R, (which also cancels the last R2) or replacing the first move in the J-Perm (R' U L' U2 R U' R' U2 L R U') with an R instead of an R'. This means that most people who know PLL will already know several cases. Recognition of these cases is also obvious, since very case which has a 1x1x3 block is a cancelled or conjugated PLL.

Every case which has a 1x1x2 block is a conjugated ZBLL, which permits advanced ZBLL users to quickly use provisional algorithms as they transition to full ZZ-CT.

Another useful advantage in ZZ-CT is that it theoretically requires no rotations.
By adjusting the D layer after TSLE, it is possible to ADF for TTLL to avoid all rotations during the solve.

==Disadvantages:==

''"(ZZ-CT) sounds like a good method-- the only disadvantage is that you have to use ZZ."''

-Andrew Ricci (2012 US National Champion)

==Example Solves:==

Scramble: R2 F2 R' U2 R2 B2 U2 R' B2 D2 U' L2 F L' R2 F' U2 R2 U F'
[https://alg.cubing.net/?setup=R2_F2_R-_U2_R2_B2_U2_R-_B2_D2_U-_L2_F_L-_R2_F-_U2_R2_U_F-&alg=x-_D-_L-_F_L_U_R2_D-_%2F%2F_EOLine%0AR_U-_R-_U_R-_U2_L_U2_L_U_L_%0AR-_U_R_%0AD_R_U-_R-_D-%0AU_R_U2_R-_U-_R_U2_R-_%2F%2F_TSLE%0Ay-_U_R-_U_R_U-_R-_U2_R_U_R-_U-_R_%2F%2F_TTLL alg.cubing.net]

EOLine: X' D' L' F L U R2 D' (7/46)

F2L-1: R U' R' U R' U2 L U2 L U L R' U R D R U' R' D' U (20/46)

TSLE: R U2 R' U' R U2 R' (7/46)

TTLL: y' U R' U R U' R' U2 R U R' U' R (12/46)

'''MORE ON THE WAY'''

==Algorithms:==

TSLE Algorithms:
http://gyroninja.net/zzct/zzct-tsle.html

TTLL Algorithms:
http://gyroninja.net/zzct/zzct-ttll.html

.

[[Category:3x3x3 methods]]
[[Category:3x3x3 speedsolving methods]]

List of mobile cubing software

2016-08-01T19:22:08Z

Twright: Removed dead timer link, updated description, list order

Standalone or web-based software for handheld devices.

== Timers ==
* [http://cube.danrcohen.com/iiTimer iiTimer] - Timer for iPhone, iPod and iPad inspired by qqTimer [http://www.speedsolving.com/forum/showthread.php?t=21744 Thread]
* [https://itunes.apple.com/us/app/sc-timer-pro/id415570402?mt=8 Speedcube Timer Pro] - Timer for iPhone, iPod and iPad
* [http://itunes.apple.com/nz/app/cubetimer/id453618840?mt=8 CubeTimer] - Timer for iPhone, iPod Touch, and iPad [http://www.speedsolving.com/forum/showthread.php?31321-CubeTimer-iOS-speedcubing-timer Thread]
* [https://itunes.apple.com/us/app/fivetimer/id471548639?mt=8 FiveTimer] - a lightweight cube timer with strength where it matters.
* [https://itunes.apple.com/us/app/zyx-timer/id957004930?mt=8 ZYX Timer] - iOS timer and scrambler for all WCA puzzles
* [http://itunes.apple.com/hk/app/chaotimer-professional-cube/id537516001?mt=8 ChaoTimer] - a professional cube timer for speedcubers with neat design.
* [https://play.google.com/store/apps/details?id=com.pluscubed.plustimer Plustimer] - android timer with TNoodle Scrambles.
* [https://market.android.com/details?id=com.jgouly.jjtimer jjTimer] - Android timer by Joey Gouly
* [https://www.microsoft.com/en-us/store/apps/rubik-cube-timer/9nblggh1xvjj Rubik Cube Timer] - Timer for Windows Phone
* [https://market.android.com/details?id=com.jjtimer&feature=search_result JustInTime] - Android timer by Justin Jaffray
* [http://www.speedsolving.com/forum/showthread.php?t=18437 Windows Mobile Scrambler/Timer] - (Compatible with Windows Mobile 6.0 - 6.5.x) by Carson
* [http://fl0g.wordpress.com/2008/07/06/java-me-a-mobile-rubiks-cube-timer Java ME] - a mobile Java based timer [http://www.speedsolving.com/forum/showthread.php?t=4481 Thread]
* [http://www.brothersoft.com/games/red-crab-cube-timer.html Red Crab Cube Timer]
* [http://code.google.com/p/cubem Cubem] a mobile java scrambler/timer
* [http://droid-appz.com SpeedCube Timer] - For Android. Not the same developer as Speedcube Timer for iOS.
* [http://www.ctimer.co.uk/wee weeTimer] - web-based timer, optimised for handheld devices [http://www.speedsolving.com/forum/showthread.php?t=22121 Thread].
* [https://play.google.com/store/apps/details?id=com.cube.nanotimer Nano Timer] - advanced highly customizable android timer

== Scramblers ==
* [http://thesixsides.com/apps/ScrambleMe/index.php ScrambeMe] - Scramblers for WCA puzzles (iOS)

== See Also ==
* [[PC Software]]
* [[Web-based Software]]

== External Links ==
Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=18063 Cube Apps for Smart Phones]

[[Category:Software]]

List of web-based cubing software

2012-08-01T15:17:52Z

Twright: /* Web-Based Timers */

== Description ==
This page contains external links for web-based software, such as timers, applets, or other useful cubing programs.

== Animation Applets ==
* [http://software.rubikscube.info/AnimCube/ AnimCube] (Java) - Relatively lightweight and feature-rich 3x3x3 applet.
* [http://randelshofer.ch/ Randelshofer's Applets] (Java) - Applets for 2x2x2-7x7x7 with many options and variations.

== Web-Based Timers ==
* [http://mzrg.com/qqtimer/ qqTimer] - qqwref's web-based timer. Generates scrambles for a wide range of puzzles.
* [http://gqtimer.kungfoomanchu.com/] - qqTimer with a session logging and graphing function, uses a Google or Yahoo account.
* [http://cstimer.sinaapp.com/ csTimer] - javascript timer with pretty UI, fast-random-state scrambles for 3x3 and sq1, (X)cross/eoline solver and many training scrambles. [http://www.speedsolving.com/forum/showthread.php?t=36236 Thread]
* [http://www.cubemania.org/ Cubemania] - An online timer and competition community
* [http://www.cubetimer.com/ cubetimer.com] - Online Rubik's Cube timer
* [http://www.rubetimer.com RubeTimer] - A timer with statistical graphics, user registration, and multiplayer
* [http://www.freewebs.com/cubevill/ cubevill] - A timer for rubik's cube with scrambles
* [http://www.ctimer.co.uk cTimer] - a JavaScript timer supporting multi-stage timing and random-state scrambles for 3x3. [http://www.speedsolving.com/forum/showthread.php?t=17078 Speedsolving Thread]
* [http://www.ctimer.co.uk/wee weeTimer] - a JavaScript timer optimised for handheld devices.
* [http://www.vanderblonk.com/tools/timer/ CubeTimer] - Timer with animation

== Image Generators ==
* [http://www.cubezone.be/imagecube.html ImageCube] - (PHP), source provided
* [http://www.solvethecube.110mb.com/index.php?location=tools#nxnimagecube NxNImagecube] - (PHP), source provided
* [http://cube.crider.co.uk/visualcube.php VisualCube] - (PHP), supports algorithms, transparency and cube dimensions up to 9x9. [http://www.speedsolving.com/forum/showthread.php?t=15853 Speedsolving Thread]
* [http://www.vanderblonk.com/tools/wordpress-rubik-plugin Wordpress Rubik Plugin] - Embed cube diagrams as Java applets or images

== Scramblers and Tools ==
* [http://www.worldcubeassociation.org/regulations/scrambles.zip Official WCA scramblers] - All in one zip file
* [http://www.jaapsch.net/ Jaap's scrambler] - Scrambler, Javascript
* [http://laire.fi/jarcs/ Just Another Rubik's Cube Solver] - Web-based 3x3 solver for common speedcubing sub-steps such as EOLine.
* [http://alg.garron.us/ alg.garron.us] - Algorithm animator for cubes up to 7x7 by Lucas Garron.
* [http://cube.crider.co.uk/scrambler.html Random State Scrambler] - Java applet which creates 3x3 scrambles by inverting solutions to randomly generated cubes.
* [http://cube.crider.co.uk/algtrans.html Algorithm Translator] - Tool for inverting, mirroring and rotating algs. [http://www.speedsolving.com/forum/showthread.php?t=21024 Speedsolving Thread]
* [http://strangepuzzle.com/mirrors.html Algorithm Mirror/Inverse Tool]
* [http://solvethecube.110mb.com/tools.html Joel's Cubing Tools] - Includes an order calculator, scrambler and image generator.
* [http://koii.cubingusa.com/lib/scrambles/scramblers/nml.html NxMxL scrambler] - Scrambler for odd puzzles
* [http://deepcube.net/cube/qbx/ QBX] - A Javascript solver (using the twophase algorithm) licensed under GPLv2.

== Cube Simulators ==
* [[Gelatinbrain]] - One of the biggest collections of virtual puzzles, [http://users.skynet.be/gelatinbrain/Applets/Magic%20Polyhedra/index.htm link]
* [http://www.ryanheise.com/cube/speed.html Ryanheise-simulator] - Cubesimulator using the keyboard, with averages
* [http://hi-games.net/ Ryanheise-multiplayer] - Multiplayer cubesimulator using keyboard, cubes: 2x2x2-10x10x10
* [http://www.randelshofer.ch/rubik/virtualcubes/virtual_rubik_en.html 3D Cube Simulator] - Supports dimensions up to 7x7 as well as other shapes. Mouse controlled.
* [http://www.ocf.berkeley.edu/~jfly/projects/qqTimer/qqTimer.htm jflySim + qqTimer] - 2x2x2-NxNxN cubes, Megaminx, Pyraminx and Square-1 simulators integrated with qqTimer

== Competition Software ==
* [http://koii.cubingusa.com/cm/results.zip KOII Live Results System] - Grabs and neatly displays data from WCA Workbooks
* [http://koii.cubingusa.com/cm/workbook/ WCA Workbook Integrity Checker] - Performs various checks on WCA Workbook
* [http://koii.cubingusa.com/main/competitions/tools More KOII Competition Software] - More tools and services such as competition website hosting

== Trainers ==
* [http://brunson.com/drillsergeant Last Layer Drills by Brunson]
* [http://wtf2l.com wtf2l.com] - OLL Trainer
* [http://cube.crider.co.uk/coracle.html Coracle] - Corner Lookahead Trainer. [http://www.speedsolving.com/forum/showthread.php?t=21251 Speedsolving Thread]

[[Category:Software]]

List of mobile cubing software

2012-08-01T15:16:25Z

Twright: /* Scramblers */

Standalone or web-based software for handheld devices.

== Timers ==
* [http://cube.danrcohen.com/iiTimer iiTimer] - Timer for iPhone, iPod and iPad inspired by qqTimer [http://www.speedsolving.com/forum/showthread.php?t=21744 Thread]
* [http://itunes.apple.com/nz/app/cubetimer/id453618840?mt=8 CubeTimer] - Timer for iPhone, iPod Touch, and iPad [http://www.speedsolving.com/forum/showthread.php?31321-CubeTimer-iOS-speedcubing-timer Thread]
* [http://thesixsides.com/apps/FiveTimer/index.php FiveTimer] - Compact timer for iPhone and iPod Touch
* [https://market.android.com/details?id=com.jgouly.jjtimer jjTimer] - Android timer by Joey Gouly
* [https://market.android.com/details?id=com.jjtimer&feature=search_result JustInTime] - Android timer by Justin Jaffray
* [http://www.speedsolving.com/forum/showthread.php?t=18437 Windows Mobile Scrambler/Timer] - (Compatible with Windows Mobile 6.0 - 6.5.x) by Carson
* [http://fl0g.wordpress.com/2008/07/06/java-me-a-mobile-rubiks-cube-timer Java ME] - a mobile Java based timer [http://www.speedsolving.com/forum/showthread.php?t=4481 Thread]
* [http://www.brothersoft.com/games/red-crab-cube-timer.html Red Crab Cube Timer]
* [http://www.speedsolving.com/forum/showthread.php?t=18296 Dshoe's Cube Timer]
* [http://code.google.com/p/cubem Cubem] a mobile java scrambler/timer
* [http://droid-appz.com SpeedCube Timer]
* [http://www.ctimer.co.uk/wee weeTimer] - web-based timer, optimised for handheld devices [http://www.speedsolving.com/forum/showthread.php?t=22121 Thread].

== Scramblers ==
* [http://thesixsides.com/apps/ScrambleMe/index.php ScrambeMe] - Scramblers for 2x2-5x5 (iOS)

== See Also ==
* [[PC Software]]
* [[Web-based Software]]

== External Links ==
Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=18063 Cube Apps for Smart Phones]

[[Category:Software]]

List of mobile cubing software

2012-08-01T15:14:36Z

Twright: /* Timers */

Standalone or web-based software for handheld devices.

== Timers ==
* [http://cube.danrcohen.com/iiTimer iiTimer] - Timer for iPhone, iPod and iPad inspired by qqTimer [http://www.speedsolving.com/forum/showthread.php?t=21744 Thread]
* [http://itunes.apple.com/nz/app/cubetimer/id453618840?mt=8 CubeTimer] - Timer for iPhone, iPod Touch, and iPad [http://www.speedsolving.com/forum/showthread.php?31321-CubeTimer-iOS-speedcubing-timer Thread]
* [http://thesixsides.com/apps/FiveTimer/index.php FiveTimer] - Compact timer for iPhone and iPod Touch
* [https://market.android.com/details?id=com.jgouly.jjtimer jjTimer] - Android timer by Joey Gouly
* [https://market.android.com/details?id=com.jjtimer&feature=search_result JustInTime] - Android timer by Justin Jaffray
* [http://www.speedsolving.com/forum/showthread.php?t=18437 Windows Mobile Scrambler/Timer] - (Compatible with Windows Mobile 6.0 - 6.5.x) by Carson
* [http://fl0g.wordpress.com/2008/07/06/java-me-a-mobile-rubiks-cube-timer Java ME] - a mobile Java based timer [http://www.speedsolving.com/forum/showthread.php?t=4481 Thread]
* [http://www.brothersoft.com/games/red-crab-cube-timer.html Red Crab Cube Timer]
* [http://www.speedsolving.com/forum/showthread.php?t=18296 Dshoe's Cube Timer]
* [http://code.google.com/p/cubem Cubem] a mobile java scrambler/timer
* [http://droid-appz.com SpeedCube Timer]
* [http://www.ctimer.co.uk/wee weeTimer] - web-based timer, optimised for handheld devices [http://www.speedsolving.com/forum/showthread.php?t=22121 Thread].

== Scramblers ==
* [http://m.cubing.dk Mobile Cube Scrambler] - scrambles for 2x2, 3x3, 4x4, 5x5, 6x6, 7x7, Pyraminx, Megaminx, Square-1 and Clock

== See Also ==
* [[PC Software]]
* [[Web-based Software]]

== External Links ==
Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=18063 Cube Apps for Smart Phones]

[[Category:Software]]