- In mathematics, the
permutohedron (also
spelled permutahedron) of
order n is an (n − 1)-dimensional
polytope embedded in an n-dimensional space. Its vertex...
- Like the cube, it can
tessellate (or "pack") 3-dimensional space, as a
permutohedron. The
truncated octahedron was
called the "mecon" by
Buckminster Fuller...
-
represented as the
vertices of a
permutohedron, and the
dichotomies on this same set as the
facets of the
permutohedron. In this
geometric representation...
-
tessellate space. The
truncated octahedron contains 14 faces, is the
permutohedron of
order four, and the only
Archimedean solid to
tessellate space. The...
- elements. Equivalently, this
algorithm finds a
Hamiltonian cycle in the
permutohedron, a
polytope whose vertices represent permutations and
whose edges represent...
-
geometric combinatorics.
Special polytopes are also considered, such as the
permutohedron, ****ociahedron and
Birkhoff polytope.
Combinatorial analogs of concepts...
-
inversion sets
ordered by the
subset relation forms the
skeleton of a
permutohedron. If a
permutation is ****igned to each
inversion set
using the place-based...
-
tessellate space. The
truncated octahedron, also a parallelohedron, is the
permutohedron of
order four, with
eight hexagonal faces alongside six
squares is likewise...
- 6-orthoplex, t0,1,2,3,4{34,4}, . The
omnitruncated 5-simplex is the
permutohedron of
order 6. It is also a zonotope, the
Minkowski sum of six line segments...
- Just as the
truncated octahedron is the
permutohedron of
order 4, the
omnitruncated 5-cell is the
permutohedron of
order 5. The
omnitruncated 5-cell is...
