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We can calculate the length of the line from its center to the middle of any edge as √ 2 using Pythagoras' theorem. By rotating the cube by 45° on the x -axis, the point (1, 1, 1) will therefore become (1, 0, √ 2 ) as depicted in the diagram.
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].
Analogously, the inverses of tetration are often called the super-root, and the super-logarithm (In fact, all hyperoperations greater than or equal to 3 have analogous inverses); e.g., in the function =, the two inverses are the cube super-root of y and the super-logarithm base y of x.
The Fibonacci cube is an undirected graph with a Fibonacci number of nodes that has been proposed as a network topology for parallel computing. Fibonacci numbers appear in the ring lemma , used to prove connections between the circle packing theorem and conformal maps .
Sphere packing finds practical application in the stacking of cannonballs.. In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space.
Corner cube reflector Apollo 15 Lunar Laser Ranging RetroReflector (LRRR) installed on the Moon In optics , corner reflectors typically consist of three mirrors or reflective prism faces which return an incident light beam in the opposite direction.
A regular dodecahedron or pentagonal dodecahedron is a dodecahedron composed of regular pentagonal faces, three meeting at each vertex.It is an example of Platonic solids, described as cosmic stellation by Plato in his dialogues, and it was used as part of Solar System proposed by Johannes Kepler.
The Nintendo GameCube [h] [i] is a home video game console developed and marketed by Nintendo.It was released in Japan on September 14, 2001, in North America on November 18, 2001, in Europe on May 3, 2002, and in Australia on May 17, 2002.
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