Virtual Cubes

Tangram Cube

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Tangram Cube

The cube shows two complementary black and white checkerboards located on the Up and Down faces and triangular shape stickers on the four remaining faces. All triangular shape stickers on a given face are oriented in the same direction whereas the orientations of stickers located on two adjacent faces differ by 90°. All cube pieces are unique which allows only one solution. Since four centers out of six have to be oriented, the cube shows 256 (= 44) times more positions than a regular cube.

The layout of the Tangram Cube was created in 2010 by Ortwin Schenker.

Algorithms


Initial state
(4 Dots)

Algorithm
(R2 L2 · MD)2 (6 ltm, 8* ftm, 12* qtm)

Algorithm
MR2 MD MR2 MD' (4* ltm, 8* ftm, 12* qtm)

Note
On the Tangram Cube, the 4 Dots pattern looks indistinguishable to the initial state. However, it can not regarded as another valid solution, since the centers have to keep their original locations. Note that on the Color Tangram Cube this pattern looks different to the initial state.


Cube rotation
(4 Dots)

Algorithm
R2 L2 · U D' · F2 B2 · U D' (8 ltm, 8* ftm, 12* qtm)

Algorithm
MR2 MD MR2 MD' · CD2 (4* ltm, 8* ftm, 12* qtm)

Note
On the Tangram Cube, the 4 Dots pattern looks like a 180° rotation of the whole cube around the axis of the Up and Down faces. But actually the centers didn't move.


Solid face on the top and bottom
(4 Parallel Bars, 2 Chessboards)

Algorithm
MR2 MF2 (2* ltm, 4* ftm, 8* qtm)

Note
On the Tangram Cube, the 4 Parallel Bars, 2 Chessboards pattern creates a solid face on the top and bottom.


© Walter Randelshofer. All rights reserved.