- 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
uniform 4-polytope (or
uniform polychoron) is a 4-dimensional
polytope which is vertex-transitive and
whose cells are
uniform polyhedra...
- the (n−4)-face of the
polychoron Edge the peak or (n−3)-face of the
polychoron Face the
ridge or (n−2)-face of the
polychoron Cell the
facet or (n−1)-face...
-
especially in
games such as
Dungeons and Dragons. 120-cell – a
regular polychoron (4D polytope)
whose surface consists of 120
dodecahedral cells Braarudosphaera...
-
Tetrahedron Octahedron • Cube
Demicube Dodecahedron •
Icosahedron Uniform polychoron Pentachoron 16-cell •
Tesseract Demitesseract 24-cell 120-cell • 600-cell...
- is the
final stellation of the 120-cell, and is the only Schläfli-Hess
polychoron to have the 120-cell for its
convex hull. In this
sense it is analogous...
- has 2V vertices, 2E + V edges, 2F + E faces, and 2 + F cells. Take a
polychoron with V vertices, E edges, F faces, and C cells. Its
prism has 2V vertices...
- The four-dimensional 5-cell is the
simplest regular polychoron....
-
Fourth spatial dimension Convex regular 4-polytope
Quaternion 4-manifold
Polychoron Rotations in 4-dimensional
Euclidean space Fourth dimension in art Fourth...
