- 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 mathematics, a
regular 4-
polytope or
regular polychoron is a
regular four-dimensional
polytope. They are the four-dimensional
analogues of the regular...
- mathematics, an
abstract polytope is an
algebraic partially ordered set
which captures the
dyadic property of a
traditional polytope without specifying purely...
- In geometry, a cross-
polytope, hyperoctahedron, orthoplex, or
cocube is a regular,
convex polytope that
exists in n-dimensional
Euclidean space. A 2-dimensional...
-
polytope is a higher-dimensional
generalization of a prism. An n-dimensional
prismatic polytope is
constructed from two (n − 1)-dimensional
polytopes...
- generally, a
vertex of a
polyhedron or
polytope is convex, if the
intersection of the
polyhedron or
polytope with a
sufficiently small sphere centered...
-
examples of
convex polyhedra. A
polyhedron is a 3-dimensional
example of a
polytope, a more
general concept in any
number of dimensions.
Convex polyhedra are...
-
regular 4-
polytopes. The
tesseract is also
called an 8-cell, C8, (regular) octachoron, or
cubic prism. It is the four-dimensional
measure polytope, taken...
- In mathematics, a
regular polytope is a
polytope whose symmetry group acts
transitively on its flags, thus
giving it the
highest degree of symmetry. In...
