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  2. Hoffman's packing puzzle - Wikipedia

    en.wikipedia.org/wiki/Hoffman's_packing_puzzle

    Hoffman's packing puzzle, disassembled. Hoffman's packing puzzle is an assembly puzzle named after Dean G. Hoffman, who described it in 1978. [1] The puzzle consists of 27 identical rectangular cuboids, each of whose edges have three different lengths. Its goal is to assemble them all to fit within a cube whose edge length is the sum of the ...

  3. Polycube - Wikipedia

    en.wikipedia.org/wiki/Polycube

    A puzzle involving arranging nine L tricubes into a 3×3×3 cube. A polycube is a solid figure formed by joining one or more equal cubes face to face. Polycubes are the three-dimensional analogues of the planar polyominoes. The Soma cube, the Bedlam cube, the Diabolical cube, the Slothouber–Graatsma puzzle, and the Conway puzzle are examples ...

  4. Alamo (sculpture) - Wikipedia

    en.wikipedia.org/wiki/Alamo_(sculpture)

    Alamo, also known as the Astor Place Cube or simply The Cube, is an outdoor sculpture by Tony Rosenthal, located on Astor Place, in the East Village neighborhood of Manhattan in New York City. It is a black cube, 8 feet (2.4 m) long on each side, mounted on a corner. The cube is made of Cor-Ten steel and weighs about 1,800 pounds (820 kg).

  5. Packing problems - Wikipedia

    en.wikipedia.org/wiki/Packing_problems

    Packing squares in a square: Optimal solutions have been proven for n from 1-10, 14-16, 22-25, 33-36, 62-64, 79-81, 98-100, and any square integer. The wasted space is asymptotically O ( a 3/5 ) . Packing squares in a circle : Good solutions are known for n ≤ 35 .

  6. Impossible cube - Wikipedia

    en.wikipedia.org/wiki/Impossible_cube

    Impossible cube. Viewed from a certain angle, this cube appears to defy the laws of geometry. The impossible cube or irrational cube is an impossible object invented by M.C. Escher for his print Belvedere. It is a two-dimensional figure that superficially resembles a perspective drawing of a three-dimensional cube, with its features drawn ...

  7. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    The missing square puzzle is an optical illusion used in mathematics classes to help students reason about geometrical figures; or rather to teach them not to reason using figures, but to use only textual descriptions and the axioms of geometry. It depicts two arrangements made of similar shapes in slightly different configurations.

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