|
N-dimensional Sequential Move Puzzles
The Rubik's Cube is the original and best known of the three-dimensional sequential move puzzles. There have been many virtual implementations of this puzzle in software. It is a natural extension to create sequential move puzzles in more than three dimensions. Although no such puzzle could ever be physically constructed, the rules of how they operate are quite rigorously defined mathematically and are analogous to the rules found in three-dimensional geometry. Hence, they can be simulated by software. As with the mechanical sequential move puzzles, there are records for solvers, although not yet the same degree of competitive organisation. Glossary *Vertex. A zero-dimensional point at which higher-dimension figures meet. *Edge. A one-dimensional figure at which higher-dimension figures meet. *Face. A two-dimensional figure at which (for objects of dimension greater than three) higher-dimension figures meet. *Cell. A three-dimensional figure at which (for objects of dimension ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
5-cube 2x2x2x2x2
In Five-dimensional space, five-dimensional geometry, a 5-cube is a name for a five-dimensional hypercube with 32 Vertex (geometry), vertices, 80 Edge (geometry), edges, 80 square Face (geometry), faces, 40 cubic Cell (mathematics), cells, and 10 tesseract 4-faces. It is represented by Schläfli symbol or , constructed as 3 tesseracts, , around each cubic Ridge (geometry), ridge. It can be called a penteract, a portmanteau of the Greek word , for 'five' (dimensions), and the word ''tesseract'' (the 4-cube). It can also be called a regular deca-5-tope or decateron, being a 5-polytope, 5-dimensional polytope constructed from 10 regular Facet (geometry), facets. Related polytopes It is a part of an infinite hypercube family. The Dual polytope, dual of a 5-cube is the 5-orthoplex, of the infinite family of orthoplexes. Applying an ''Alternation (geometry), alternation'' operation, deleting alternating vertices of the 5-cube, creates another uniform 5-polytope, called a 5-demicube, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
