Examples of 'regular polytopes' in a sentence
Meaning of "regular polytopes"
Regular polytopes are geometric figures that have regular polygons as their faces, and their vertices are arranged symmetrically. They are often studied in the field of geometry and have applications in various areas such as crystallography and computer graphics
How to use "regular polytopes" in a sentence
Basic
Advanced
regular polytopes
No other regular polytopes are possible in three dimensions.
See also the list of regular polytopes.
Abstract regular polytopes remain an active area of research.
But in higher dimensions there are no other regular polytopes.
There are other regular polytopes in higher dimensions.
Descriptions of these may be found in the List of regular polytopes.
Regular polytopes are classified primarily according to their dimensionality.
Symmetry groups of regular polytopes.
Some regular polytopes are stars.
Such groups are often named by the regular polytopes they generate.
Regular Polytopes summarizing work to date.
All symmetry groups of regular polytopes are finite Coxeter groups.
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
The Petrie polygons of the regular polytopes are well known examples.
In geometry, a bitruncation is an operation on regular polytopes.
See also
Not all regular polytopes have Van Oss polygons.
Vertex configuration List of regular polytopes.
Checkerboard List of regular polytopes List of uniform tilings Square lattice Tilings of regular polygons.
In five or more dimensions, only three regular polytopes exist.
In reality, regular polytopes are just very special cases.
These solids are also known as the three-dimensional regular polytopes or the regular solids.
Regular polytopes ( and honeycombs ) have a single edge figure which is also regular.
There are no non-convex regular polytopes in five dimensions or higher.
The regular polytopes are grouped by dimension and subgrouped by convex, nonconvex and infinite forms.
He was most noted for his work on regular polytopes and higher-dimensional geometries.
In higher dimensions, the counterparts of the Platonic solids are the regular polytopes.
The primary class of self-dual polytopes are regular polytopes with palindromic Schläfli symbols.
Shephard originally devised a modified form of Schläfli 's notation for regular polytopes.
Regular Polytopes is a standard reference work on regular polygons, polyhedra and their higher dimensional analogues.
She reproved Schläfli 's result on regular polytopes for dimension 4 only and afterwards rediscovered his book.
In 4-dimensions, there are a large number of regular compounds of regular polytopes.
There are no non-convex regular polytopes above 4 dimensions.
Star (polygon) Stellated polygons Two-dimensional regular polytopes.
The exceptional regular polytopes in dimensions two, three, and four, correspond to other Coxeter groups.
Stott learned of Pieter Schoute 's work on central sections of the regular polytopes in 1895.
Regular Polytopes 3rd ed.
You'll also be interested in:
Examples of using Polytopes
Show more
This is not true of polytopes in higher dimensions
They are topologically dual to simple polytopes
There are no regular star polytopes in these dimensions
Examples of using Regular
Show more
Whatever happened to regular old black coffee
Regular meetings were held in all the sectors
We were just a regular family like anybody else
