Definition of Parallelotopes. Meaning of Parallelotopes. Synonyms of Parallelotopes

- In geometry, a parallelotope may refer to: A generalization of a parallelepiped and parallelogram A generalization of a parallelohedron and parallelogon...
- parallelotope, or simply n-parallelotope (or n-parallelepiped). Thus a parallelogram is a 2-parallelotope and a parallelepiped is a 3-parallelotope....
- four-dimensional parallelotopes that are zonotopes. Another 34, or twice 17, are Minkowski sums of zonotopes with the 24-cell, itself the simplest parallelotope that...
- k-form is thought of as measuring the flux through an infinitesimal k-parallelotope at each point of the manifold, then its exterior derivative can be thought...
- n-dimensional parallelotope spanned by the rows of an n × n Hadamard matrix has the maximum possible n-dimensional volume among parallelotopes spanned by...
- include more than one lattice point. The conventional unit cells are parallelotopes in n dimensions. A primitive cell is a unit cell that contains exactly...
- Given a topological space and a group acting on it, the images of a single point under the group action form an orbit of the action. A fundamental domain...
- grid is a tessellation of n-dimensional Euclidean space by congruent parallelotopes (e.g. bricks). Its opposite is irregular grid. Grids of this type appear...
- magnitude of a k {\displaystyle k} -blade is the (hyper)volume of the parallelotope defined by the constituent vectors. The alternating property that v...
- product of n vectors can be visualized as any n-dimensional shape (e.g. n-parallelotope, n-ellipsoid); with magnitude (hypervolume), and orientation defined...