- In
elementary geometry, a
polytope is a
geometric object with flat
sides (faces).
Polytopes are the
generalization of three-dimensional
polyhedra to any...
- A
convex polytope is a
special case of a
polytope,
having the
additional property that it is also a
convex set
contained in the n {\displaystyle n} -dimensional...
- In geometry, a 4-
polytope (sometimes also
called a polychoron, polycell, or polyhedroid) is a four-dimensional
polytope. It is a
connected and
closed figure...
- In mathematics, a
regular 4-
polytope or
regular polychoron is a
regular four-dimensional
polytope. They are the four-dimensional
analogues of the regular...
- In geometry, a cross-
polytope, hyperoctahedron, orthoplex, staurotope, or
cocube is a regular,
convex polytope that
exists in n-dimensional Euclidean...
- mathematics, an
abstract polytope is an
algebraic partially ordered set
which captures the
dyadic property of a
traditional polytope without specifying purely...
-
polyhedra and higher-dimensional
polytopes, the term is also used to mean an
element of any
dimension of a more
general polytope (in any
number of dimensions)...
-
polytope is a higher-dimensional
generalization of a prism. An n-dimensional
prismatic polytope is
constructed from two (n − 1)-dimensional
polytopes...
-
polytopes. (In
other conventions, the
words polyhedron and
polytope are used in any dimension, with the
distinction between the two that a
polytope is...
- generally, a
vertex of a
polyhedron or
polytope is convex, if the
intersection of the
polyhedron or
polytope with a
sufficiently small sphere centered...
