- In geometry, a
plesiohedron is a
special kind of space-filling polyhedron,
defined as the
Voronoi cell of a
symmetric Delone set. Three-dimensional Euclidean...
-
Platonic solid,
regular polyhedron, parallelohedron, zonohedron, and
plesiohedron. The dual
polyhedron of a cube is the
regular octahedron. The cube is...
-
Rectangular cuboid Type
Prism Plesiohedron Faces 6
rectangles Edges 12
Vertices 8
Properties convex, zonohedron, isogonal...
- space. It is
classified as
plesiohedron,
meaning it can be
defined as the
Voronoi cell of a
symmetric Delone set. The
plesiohedron includes the parallelohedron...
-
among others. Any
polyhedron that fits this
criterion is
known as a
plesiohedron, and may
possess between 4 and 38 faces.
Naturally occurring rhombic...
-
Parallelepiped Type
Prism Plesiohedron Faces 6
parallelograms Edges 12
Vertices 8
Symmetry group Ci, [2+,2+], (×),
order 2
Properties convex, zonohedron...
-
equal degrees. As the
Voronoi cell of a
regular space pattern, it is a
plesiohedron. It is the
polyhedral dual of the
triangular orthobicupola. The trapezo-rhombic...
- List of
uniform tilings Regular honeycombs Infinite skew
polyhedron Plesiohedron Grünbaum (1994). "Uniform
tilings of 3-space".
Geombinatorics 4(2) Weisstein...
-
iteration Meyer set Pisot–Vijayaraghavan
number Pitteway triangulation Plesiohedron Quasicrystal Quasitriangulation Salem number Steiner point (triangle)...
- 2^{d+1}-2} facets, with the
permutohedron achieving this maximum. A
plesiohedron is a
broader class of three-dimensional space-filling polyhedra, formed...
