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= | + | |moves=31.3 |
|purpose=<sup></sup> | |purpose=<sup></sup> | ||
* [[Computer Algorithm]] | * [[Computer Algorithm]] | ||
+ | * [[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 <U,D,L,R,F2,B2> | + | # Reduction to G₁ = <U,D,L,R,F2,B2> |
#* [[Edge Orientation]] | #* [[Edge Orientation]] | ||
− | # Reduction to <U,D,L2,R2,F2,B2> | + | # Reduction to G₂ = <U,D,L2,R2,F2,B2> (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 <U2,D2,L2,R2,F2,B2> | + | # Reduction to G₃ = [[Square group|<U2,D2,L2,R2,F2,B2>]] (also known as [[Half Turn Reduction]]) |
#* Corners | #* Corners | ||
#* Edges | #* Edges | ||
Line 30: | Line 31: | ||
* [[Puzzle theory]] | * [[Puzzle theory]] | ||
* [[Rubik's Cube Group]] | * [[Rubik's Cube Group]] | ||
+ | * [[Edge Orientation]] | ||
+ | * [[Domino Reduction]] | ||
+ | * [[Half Turn Reduction]] | ||
[[Category:Computer algorithms]] | [[Category:Computer algorithms]] |
Revision as of 23:46, 22 March 2021
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A computer cube solving algorithm, based on reducing the cube to subgroups.
Steps
- Reduction to G₁ = <U,D,L,R,F2,B2>
- Reduction to G₂ = <U,D,L2,R2,F2,B2> (also known as Domino Reduction)
- placement of U/D edges in U/D faces
- Corner Orientation, and placement
- Reduction to G₃ = <U2,D2,L2,R2,F2,B2> (also known as Half Turn Reduction)
- Corners
- Edges
- Final Solve
Permutation of all pieces using only 180 degree faces turns
See also
- Human Thistlethwaite
- Kociemba
- God's Algorithm
- Puzzle theory
- Rubik's Cube Group
- Edge Orientation
- Domino Reduction
- Half Turn Reduction
External links
- Jaap's Thistlethwaite page
- Wikipedia: Morwen Thistlethwaite