Difference between revisions of "Thistlethwaite's algorithm"

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m (Stannic moved page Thistlethwaite to Thistlethwaite's algorithm: Thistlethwaite is a mathematician but the article is about the algorithm)
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|variants=[[Human Thistlethwaite]]
 
|variants=[[Human Thistlethwaite]]
 
|steps=4
 
|steps=4
|moves=45
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|moves=31.3
 
|purpose=<sup></sup>
 
|purpose=<sup></sup>
 
* [[Computer Algorithm]]
 
* [[Computer Algorithm]]
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* [[Fewest Moves]]
 
}}
 
}}
 
A computer cube solving algorithm, based on reducing the cube to subgroups.
 
A computer cube solving algorithm, based on reducing the cube to subgroups.
  
 
==Steps==
 
==Steps==
# Reduction to &lt;U,D,L,R,F2,B2&gt;
+
# Reduction to G₁ = &lt;U,D,L,R,F2,B2&gt;
 
#* [[Edge Orientation]]
 
#* [[Edge Orientation]]
# Reduction to &lt;U,D,L2,R2,F2,B2&gt;
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# Reduction to G₂ = &lt;U,D,L2,R2,F2,B2&gt; (also known as [[Domino Reduction]])
 
#* placement of U/D edges in U/D faces
 
#* placement of U/D edges in U/D faces
 
#* [[Corner Orientation]], and placement
 
#* [[Corner Orientation]], and placement
# Reduction to &lt;U2,D2,L2,R2,F2,B2&gt;
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# Reduction to G₃ = [[Square group|&lt;U2,D2,L2,R2,F2,B2&gt;]] (also known as [[Half Turn Reduction]])
 
#* Corners
 
#* Corners
 
#* Edges
 
#* Edges
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* [[Puzzle theory]]
 
* [[Puzzle theory]]
 
* [[Rubik's Cube Group]]
 
* [[Rubik's Cube Group]]
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* [[Edge Orientation]]
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* [[Domino Reduction]]
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* [[Half Turn Reduction]]
  
 
[[Category:Computer algorithms]]
 
[[Category:Computer algorithms]]

Revision as of 23:46, 22 March 2021

Thistlethwaite method
Thistlethwaite.gif
Information about the method
Proposer(s): Morwen Thistlethwaite
Proposed: 1981
Alt Names: none
Variants: Human Thistlethwaite
No. Steps: 4
No. Algs: unknown
Avg Moves: 31.3
Purpose(s):

A computer cube solving algorithm, based on reducing the cube to subgroups.

Steps

  1. Reduction to G₁ = <U,D,L,R,F2,B2>
  2. Reduction to G₂ = <U,D,L2,R2,F2,B2> (also known as Domino Reduction)
  3. Reduction to G₃ = <U2,D2,L2,R2,F2,B2> (also known as Half Turn Reduction)
    • Corners
    • Edges
  4. Final Solve
    Permutation of all pieces using only 180 degree faces turns

See also

External links