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  2. Straightedge and compass construction - Wikipedia

    en.wikipedia.org/wiki/Straightedge_and_compass...

    Doubling the cube is the construction, using only a straightedge and compass, of the edge of a cube that has twice the volume of a cube with a given edge. This is impossible because the cube root of 2, though algebraic, cannot be computed from integers by addition, subtraction, multiplication, division, and taking square roots.

  3. CFOP method - Wikipedia

    en.wikipedia.org/wiki/CFOP_method

    The CFOP method (Cross – F2L – OLL – PLL), also known as the Fridrich method, is one of the most commonly used methods in speedsolving a 3×3×3 Rubik's Cube. It is one of the fastest methods with the other most notable ones being Roux and ZZ. This method was first developed in the early 1980s, combining innovations by a number of speed ...

  4. Cube Route - Wikipedia

    en.wikipedia.org/wiki/Cube_Route

    ISBN. 0-7653-4309-6. OCLC. 56722923. Preceded by. Up In A Heaval. Followed by. Currant Events. Cube Route is a fantasy novel by British-American writer Piers Anthony, the twenty-seventh book of the Xanth series.

  5. Hamiltonian path - Wikipedia

    en.wikipedia.org/wiki/Hamiltonian_path

    In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each edge exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a cycle that visits each vertex exactly once. A Hamiltonian path that starts and ends at adjacent vertices can be completed by adding ...

  6. Menger sponge - Wikipedia

    en.wikipedia.org/wiki/Menger_sponge

    Menger sponge. An illustration of M4, the sponge after four iterations of the construction process. In mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) [1][2][3] is a fractal curve. It is a three-dimensional generalization of the one-dimensional Cantor set and two ...

  7. Hypercube graph - Wikipedia

    en.wikipedia.org/wiki/Hypercube_graph

    Hypercube graph. In graph theory, the hypercube graph Qn is the graph formed from the vertices and edges of an n -dimensional hypercube. For instance, the cube graph Q3 is the graph formed by the 8 vertices and 12 edges of a three-dimensional cube. Qn has 2n vertices, 2n – 1n edges, and is a regular graph with n edges touching each vertex.

  8. Necker cube - Wikipedia

    en.wikipedia.org/wiki/Necker_cube

    The Necker cube is an optical illusion that was first published as a rhomboid in 1832 by Swiss crystallographer Louis Albert Necker. [1] It is a simple wire-frame , two dimensional drawing of a cube with no visual cues as to its orientation , so it can be interpreted to have either the lower-left or the upper-right square as its front side.

  9. Hypercube internetwork topology - Wikipedia

    en.wikipedia.org/wiki/Hypercube_internetwork...

    Hypercube internetwork topology. In computer networking, hypercube networks are a type of network topology used to connect and route data between multiple processing units or computers. Hypercube networks consist of 2m nodes, which form the vertices of squares to create an internetwork connection. A hypercube is basically a multidimensional ...

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