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- Soma_cube abstract "The Soma cube is a solid dissection puzzle invented by Piet Hein in 1933 during a lecture on quantum mechanics conducted by Werner Heisenberg. Seven pieces made out of unit cubes must be assembled into a 3x3x3 cube. The pieces can also be used to make a variety of other 3D shapes.The pieces of the Soma cube consist of all possible combinations of three or four unit cubes, joined at their faces, such that at least one inside corner is formed. There is one combination of three cubes that satisfies this condition, and six combinations of four cubes that satisfy this condition, of which two are mirror images of each other (see Chirality). Thus, 3 + (6 x 4) is 27 which is exactly the number of cells in a 3 x 3 x 3 cube.The Soma cube is sometimes regarded as the 3D equivalent of polyominoes. There are interesting parity properties relating to solutions of the Soma puzzle.Soma has been discussed in detail by Martin Gardner and John Horton Conway, and the book Winning Ways for your Mathematical Plays contains a detailed analysis of the Soma cube problem. There are 240 distinct solutions of the Soma cube puzzle, excluding rotations and reflections: these are easily generated by a simple recursive backtracking search computer program similar to that used for the eight queens puzzle.The seven Soma pieces are six polycubes of order four and one of order three: 60x Piece 1, or "V". 60x Piece 2, or "L": a row of three blocks with one added below the left side. 60x Piece 3, or "T": a row of three blocks with one added below the center. 60x Piece 4, or "Z": bent triomino with block placed on outside of clockwise side. 60x Piece 5, or "A": unit cube placed on top of clockwise side. Chiral in 3D. 60x Piece 6, or "B": unit cube placed on top of anticlockwise side. Chiral in 3D. 60x Piece 7, or "P": unit cube placed on bend. Not chiral in 3D.↑ ↑".
- Soma_cube thumbnail Soma-cube-disassembled.jpg?width=300.
- Soma_cube wikiPageExternalLink SomaCube.html.
- Soma_cube wikiPageExternalLink SOMA.HTM.
- Soma_cube wikiPageExternalLink cube-secrets.
- Soma_cube wikiPageExternalLink watch?v=9ngzN2RQEtM.
- Soma_cube wikiPageExternalLink details?id=com.egemen.egemen&hl=tr.
- Soma_cube wikiPageID "36670".
- Soma_cube wikiPageRevisionID "605835783".
- Soma_cube hasPhotoCollection Soma_cube.
- Soma_cube subject Category:Mechanical_puzzles.
- Soma_cube subject Category:Recreational_mathematics.
- Soma_cube subject Category:Tiling_puzzles.
- Soma_cube type Abstraction100002137.
- Soma_cube type Communication100033020.
- Soma_cube type MechanicalPuzzles.
- Soma_cube type Message106598915.
- Soma_cube type Problem106784003.
- Soma_cube type Puzzle106784639.
- Soma_cube type Question106783768.
- Soma_cube type Subject106599788.
- Soma_cube type TilingPuzzles.
- Soma_cube comment "The Soma cube is a solid dissection puzzle invented by Piet Hein in 1933 during a lecture on quantum mechanics conducted by Werner Heisenberg. Seven pieces made out of unit cubes must be assembled into a 3x3x3 cube. The pieces can also be used to make a variety of other 3D shapes.The pieces of the Soma cube consist of all possible combinations of three or four unit cubes, joined at their faces, such that at least one inside corner is formed.".
- Soma_cube label "Cube Soma".
- Soma_cube label "Cubo Soma".
- Soma_cube label "Cubo soma".
- Soma_cube label "Cubo soma".
- Soma_cube label "Soma cube".
- Soma_cube label "Somawürfel".
- Soma_cube label "Кубики сома".
- Soma_cube label "مكعب سوما".
- Soma_cube label "ソーマキューブ".
- Soma_cube sameAs Somawürfel.
- Soma_cube sameAs Cubo_Soma.
- Soma_cube sameAs Soma_kuboa.
- Soma_cube sameAs Cube_Soma.
- Soma_cube sameAs Cubo_soma.
- Soma_cube sameAs ソーマキューブ.
- Soma_cube sameAs 소마_큐브.
- Soma_cube sameAs Cubo_soma.
- Soma_cube sameAs m.0950h.
- Soma_cube sameAs Q138865.
- Soma_cube sameAs Q138865.
- Soma_cube sameAs Soma_cube.
- Soma_cube wasDerivedFrom Soma_cube?oldid=605835783.
- Soma_cube depiction Soma-cube-disassembled.jpg.
- Soma_cube isPrimaryTopicOf Soma_cube.
