5D h-Symmetrie - entworfen von Reid

5D h-symmetrie - by Reid

U R F' B U' D' F U' D F L F' L' U R D F U R L (16,20)

U R' B D B U L D B' D² R U' F L F R D L F' L² (20,22)

B' L² U D R² B' D² F² D' R² F B L² D' B² U² (14,24)

D² L² B² U² D² B² R² D² (7,16)

U F' L' F' B U R F' B U' B' U D' R² L' B U' (13,18)

U F B D R L U' F² B² R L D' F B D R L D F' B' (13,22)

F L D F U' B² R F R' F' R F L² U' R D B R (18,20)

B² L U² F' B' U² R' F² L² F' U² R' L' U² B R² (14,24)

U F B U' R L U F B R² L² D' F B U' R L D' R' L' (13,22)

U² L U B D L U B' R' L' F' D R U F D L' U² (17,20)

L' B² U' D' B² R' U² L² U B² R L F² U R² U² (14,24)

H-symmetric positions

These are the positions that are invariant under all symmetries producing an even permutation of long diagonals of the cube. There are 24 such positions; 4 have more symmetry, namely M-symmetry. The other 20 positions pair up into 10 patterns, as shown below. I have even calculated all minimal maneuvers, using my optimal cube solver.

Reid

H-symmetrische Stellungen

Hier sind alle Stellungen enthalten, die unter allen Symmetrien unveränderlich sind, die einen einfachen Tausch entlang der langen Diagonalen des Würfels beinhalten. Es gibt 24 solche Stellungen; 4 haben mehrere Symmetrien, namentlich die M-Symmetrie. Die anderen 20 Stellungen teilen sich in 10 Muster, wie hier angezeigt wird. Auch habe ich alle minimalen Operationen durch meinen optimal cube solver berechnen lassen.

Reid


	References [1] Herbert Kociemba, Close to God's Algorithm, Cubism For Fun 28 (April 1992) pp. 10-13. [2] James Saxe, 16 qtw algs for CC and H patterns, cube-lovers e-mail, December 16, 1980. [3] Dik T. Winter, Are we approaching God's algorithm?, cube-lovers e-mail, May 4, 1992. [4] Dik T. Winter, Kociemba's algorithm, cube-lovers e-mail, May 17, 1992. [5] Dik T. Winter, Re: Diameter of cube group?, cube-lovers e-mail, August 25, 1993.

01/14/2009

14.01.2009