polytope - a geometric object with flat sides
Polytope - Dimensions Types
|
Dimension |
Name |
Description |
|---|---|---|
|
0-polytope |
point |
a 0-dimensional geometric object with |
|
1-polytope |
line segment |
a 2-dimensional geometric object with “flat 0-dimensional sides” |
|
2-polytope |
polygon |
a 2-dimensional geometric object with flat 1-dimensional sides |
|
3-polytope |
polyhedron (plural polyhedrons or polyhedra) |
a 3-dimensional geometric object with flat 2-dimensional sides |
|
n-polytope |
a n-dimensional geometric object with flat (n-1)-dimensional sides |
Polytope - Properties Types
- regular n-polytope - is a polytope where its faces are regular congruent (n-1)-polytopes and all the angles at the vertices are equal
- simple polytope - none of their segments intersect
- convex polytope - each segment connecting every pair of points of a polytope are inside the polytope