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The [[Soma cube]] is a [[mathematical game|mathematical puzzle]] by [[Piet Hein]]. |
The [[Soma cube]] is a [[mathematical game|mathematical puzzle]] by [[Piet Hein]]. |
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Seven pieces made out of unit cubes must be assembled into a 3x3 cube. The pieces can also be used to make a variety of other interesting 3d shapes. |
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The soma cube is often regarded as the 3d equivalent of [[tangram|tangrams]]. |
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:''This text is from the 'Tetromino' article, and is being edited'' |
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The soma pieces are: |
The seven soma pieces are: |
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<ul> |
<ul> |
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<li>The bent trimino</li> |
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<li>[[image:tetris-t.png]] T: a row of three blocks with one added below the center</li> |
<li>[[image:tetris-t.png]] T: a row of three blocks with one added below the center</li> |
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<li>[[image:tetris-l.png]] L: a row of three blocks with one added below the left side</li> |
<li>[[image:tetris-l.png]] L: a row of three blocks with one added below the left side</li> |
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<li>[[image:tetris-s.png]] S: bent trimino with block placed on outside of clockwise side</li> |
<li>[[image:tetris-s.png]] S: bent trimino with block placed on outside of clockwise side</li> |
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<li>[[image:tetris-z.png]] Z: bent trimino with block added on outside of anticlockwise side |
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<br>Reflection to S. See "J", above.</li> |
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</ul> |
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When added the third dimension, there are three more patterns, all created by placing a unit cube on the bent trimino: |
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<ul> |
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<li>[[image:tetris-lscrew.png]] Left screw: unit cube placed on top of anticlockwise side. Chiral in 3D.</li> |
<li>[[image:tetris-lscrew.png]] Left screw: unit cube placed on top of anticlockwise side. Chiral in 3D.</li> |
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<li>[[image:tetris-rscrew.png]] Right screw: unit cube placed on top of clockwise side. Chiral in 3D.</li> |
<li>[[image:tetris-rscrew.png]] Right screw: unit cube placed on top of clockwise side. Chiral in 3D.</li> |
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See also: |
See also: |
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*[[Trimino]] |
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*[[Tetromino]] |
*[[Tetromino]] |
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Revision as of 00:07, 27 January 2002
The Soma cube is a mathematical puzzle by Piet Hein. Seven pieces made out of unit cubes must be assembled into a 3x3 cube. The pieces can also be used to make a variety of other interesting 3d shapes.
The soma cube is often regarded as the 3d equivalent of tangrams.
The seven soma pieces are:
- The bent trimino
T: a row of three blocks with one added below the center
L: a row of three blocks with one added below the left side
S: bent trimino with block placed on outside of clockwise side
Left screw: unit cube placed on top of anticlockwise side. Chiral in 3D.
Right screw: unit cube placed on top of clockwise side. Chiral in 3D.
Branch: unit cube placed on bend. Not chiral in 3D.
See also: