Soma cube

If you give a mat of 5x4 = 20 cubelets, there are [20 above 7] = 20! It is a beautiful freak of nature that the seven simplest irregular combinations of cubes can form a cube again. If we consider the "a" and "b" pieces (a chiral pair) to be interchangeable in reflection, there are exactly half as many solutions as shown for each of the puzzles below. The puzzle contains one piece from each of the solid polyominoes of orders 2 through 7 (i.e one solid domino, ..., one solid heptomino), for a total of 27 unit cubes. Seven pieces made out of unit cubes must be assembled into a 3×3×3 cube.

Soma cube

Soma cube

There are seven different Soma Cubes, though two of them are mirror images of each other. = 77520 places for the remaining seven cubelets, so 77520 fures. If you form a bar with five cubelets, there are two left.

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    Soma cube

    Soma cube

    Soma cube

    —Piet Hein Soma Cubes include all non-convex polycubes of order 3 (1) and 4 (6). The two castles are from Dennis Nehen's Soma Cube pages. Seven pieces made out of unit cubes must be assembled into a 3x3x3 cube.

    Soma cube

    The Danish mathematician , also known for his invention of the mathematical games known as hex and tac tix, stumbled upon the fact that the seven Soma Cubes can be put together to form a larger cube containing 27 “unit” cubes. LAMISIL LOTION


    Soma cube:

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