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  2. Unit cube - Wikipedia

    en.wikipedia.org/wiki/Unit_cube

    The term unit cube or unit hypercube is also used for hypercubes, or "cubes" in n-dimensional spaces, for values of n other than 3 and edge length 1. [ 1 ] [ 2 ] Sometimes the term "unit cube" refers in specific to the set [0, 1] n of all n -tuples of numbers in the interval [0, 1].

  3. Soma cube - Wikipedia

    en.wikipedia.org/wiki/Soma_cube

    The pieces of a Soma cube The same puzzle, assembled into a cube. The Soma cube is a solid dissection puzzle invented by Danish polymath Piet Hein in 1933 [1] during a lecture on quantum mechanics conducted by Werner Heisenberg. [2] Seven different pieces made out of unit cubes must be assembled into a 3×3×3 cube.

  4. Prince Rupert's cube - Wikipedia

    en.wikipedia.org/wiki/Prince_Rupert's_cube

    A unit cube with a hole cut through it, large enough to allow Prince Rupert's cube to pass. In geometry, Prince Rupert's cube is the largest cube that can pass through a hole cut through a unit cube without splitting it into separate pieces. Its side length is approximately 1.06, 6% larger than the side length 1 of the unit cube through which ...

  5. Manipulative (mathematics education) - Wikipedia

    en.wikipedia.org/wiki/Manipulative_(mathematics...

    Like the pattern blocks, the interlocking cubes provide a concrete experience for students to identify, extend, and create patterns. The difference is that a student can also physically decompose a pattern by the unit. For example, if a student made a pattern train that followed this sequence:

  6. Cubical complex - Wikipedia

    en.wikipedia.org/wiki/Cubical_complex

    Equivalently, an elementary cube is any translate of a unit cube [,] embedded in Euclidean space (for some , {} with ). [3] A set X ⊆ R d {\displaystyle X\subseteq \mathbf {R} ^{d}} is a cubical complex (or cubical set ) if it can be written as a union of elementary cubes (or possibly, is homeomorphic to such a set).

  7. n-dimensional sequential move puzzle - Wikipedia

    en.wikipedia.org/wiki/N-dimensional_sequential...

    A 4-cube projected on to a 2D computer screen is an example of a general type of an n-dimensional puzzle projected on to a (n – 2)-dimensional space. The 3D analogue of this is to project the cube on to a 1-dimensional representation, which is what Vanderschel's program is capable of doing.

  8. Klee–Minty cube - Wikipedia

    en.wikipedia.org/wiki/Klee–Minty_cube

    The Klee–Minty cube or Klee–Minty polytope (named after Victor Klee and George J. Minty) is a unit hypercube of variable dimension whose corners have been perturbed. Klee and Minty demonstrated that George Dantzig 's simplex algorithm has poor worst-case performance when initialized at one corner of their "squashed cube".

  9. Polycube - Wikipedia

    en.wikipedia.org/wiki/Polycube

    For instance, the 26-cube formed by making a 3×3×3 grid of cubes and then removing the center cube is a valid polycube, in which the boundary of the interior void is not connected to the exterior boundary. It is also not required that the boundary of a polycube form a manifold. For instance, one of the pentacubes has two cubes that meet edge ...

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