Interface to several Rubik’s cube solvers.¶
The first is by Michael Reid, and tries to find an optimal solution given the cube’s state, and may take a long time. See http://www.math.ucf.edu/~reid/Rubik/optimal_solver.html
The second is by Eric Dietz, and uses a standard (?) algorithm to solve the cube one level at a time. It is extremely fast, but often returns a far from optimal solution. See https://web.archive.org/web/20121212175710/http://www.wrongway.org/?rubiksource
The third is by Dik Winter and implements Kociemba’s algorithm which finds reasonable solutions relatively quickly, and if it is kept running will eventually find the optimal solution.
AUTHOR:
– Optimal was written by Michael Reid <reid@math.ucf.edu> (2004) – Cubex was written by Eric Dietz <root@wrongway.org> (2003) – Kociemba was written by Dik T. Winter <dik.winter@cwi.nl> (1993) – Initial interface by Robert Bradshaw (2007-08)
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class
sage.interfaces.rubik.
CubexSolver
¶ Bases:
object
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format_cube
(facets)¶
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solve
(facets)¶ EXAMPLES:
sage: from sage.interfaces.rubik import * # optional - rubiks sage: C = RubiksCube("R U") # optional - rubiks sage: CubexSolver().solve(C.facets()) # optional - rubiks 'R U' sage: C = RubiksCube("R U F L B D") # optional - rubiks sage: sol = CubexSolver().solve(C.facets()); sol # optional - rubiks "U' L' L' U L U' L U D L L D' L' D L' D' L D L' U' L D' L' U L' B' U' L' U B L D L D' U' L' U L B L B' L' U L U' L' F' L' F L' F L F' L' D' L' D D L D' B L B' L B' L B F' L F F B' L F' B D' D' L D B' B' L' D' B U' U' L' B' D' F' F' L D F'" sage: RubiksCube(sol) == C # optional - rubiks True sage: C = RubiksCube("R2 F'") # optional - rubiks sage: CubexSolver().solve(C.facets()) # optional - rubiks "R' R' F'" sage: C = RubiksCube().scramble() # optional - rubiks sage: sol = CubexSolver().solve(C.facets()) # optional - rubiks sage: C == RubiksCube(sol) # optional - rubiks True
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class
sage.interfaces.rubik.
DikSolver
¶ Bases:
object
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format_cube
(facets)¶
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solve
(facets, timeout=10, extra_time=2)¶ EXAMPLES:
sage: from sage.interfaces.rubik import * # optional - rubiks sage: C = RubiksCube().move("R U") # optional - rubiks sage: DikSolver().solve(C.facets()) # optional - rubiks 'R U' sage: C = RubiksCube().move("R U F L B D") # optional - rubiks sage: DikSolver().solve(C.facets()) # optional - rubiks 'R U F L B D' sage: C = RubiksCube().move("R2 F'") # optional - rubiks sage: DikSolver().solve(C.facets()) # optional - rubiks "R2 F'"
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class
sage.interfaces.rubik.
OptimalSolver
(verbose=False, wait=True)¶ Bases:
object
Interface to Michael Reid’s optimal Rubik’s Cube solver.
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format_cube
(facets)¶
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ready
()¶
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solve
(facets)¶ The initial startup and precomputation are substantial…
Todo
Let it keep searching once it found a solution?
EXAMPLES:
sage: from sage.interfaces.rubik import * # optional - rubiks sage: solver = DikSolver() # optional - rubiks sage: solver = OptimalSolver() # optional - rubiks # long time (28s on sage.math, 2012) Initializing tables... Done. sage: C = RubiksCube("R U") # optional - rubiks sage: solver.solve(C.facets()) # optional - rubiks 'R U' sage: C = RubiksCube("R U F L B D") # optional - rubiks sage: solver.solve(C.facets()) # optional - rubiks 'R U F L B D' sage: C = RubiksCube("R2 D2") # optional - rubiks sage: solver.solve(C.facets()) # optional - rubiks 'R2 D2'
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start
()¶
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stop
()¶
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class
sage.interfaces.rubik.
SingNot
(s)¶ Bases:
object
This class is to resolve difference between various Singmaster notation.
Case is ignored, and the second and third letters may be swapped.
EXAMPLES:
sage: from sage.interfaces.rubik import SingNot sage: SingNot("acb") == SingNot("ACB") True sage: SingNot("acb") == SingNot("bca") False