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Rectified 9-cubes. In nine-dimensional geometry, a rectified 9-cube is a convex uniform 9-polytope, being a rectification of the regular 9-cube . There are 9 rectifications of the 9-cube. The zeroth is the 9-cube itself, and the 8th is the dual 9-orthoplex. Vertices of the rectified 9-cube are located at the edge-centers of the 9-orthoplex.
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 ...
Optimal solutions for the Rubik's Cube are solutions that are the shortest in some sense. There are two common ways to measure the length of a solution. The first is to count the number of quarter turns. The second is to count the number of outer-layer twists, called "face turns". A move to turn an outer layer two quarter (90°) turns in the ...
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Rummikub ( / ˈrʌmikjuːb /, "rummy cube" [1]) is a tile-based game for 2 to 4 players, combining elements of the card game rummy and mahjong. There are 106 tiles in the game, including 104 numbered tiles (valued 1 to 13 in four different colors, two copies of each) and two jokers. Players have 14 or 16 tiles initially and take turns putting ...
Snake cube. The snake cube is a mechanical puzzle, a chain of 27 or 64 cubelets, connected by an elastic band running through them, creating a specific sequence of straight and bent connections. The cubelets can rotate freely. The aim of the puzzle is to arrange the chain in such a way that they will form a 3×3×3 or 4×4×4 cube.
Sphere packing in a cube. In geometry, sphere packing in a cube is a three-dimensional sphere packing problem with the objective of packing spheres inside a cube. It is the three-dimensional equivalent of the circle packing in a square problem in two dimensions. The problem consists of determining the optimal packing of a given number of ...
Trinity College, Cambridge, Peterhouse, Cambridge. Signature. Charles Babbage KH FRS ( / ˈbæbɪdʒ /; 26 December 1791 – 18 October 1871) was an English polymath. [1] A mathematician, philosopher, inventor and mechanical engineer, Babbage originated the concept of a digital programmable computer. [2] Babbage is considered by some to be ...
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