- one
segment for each
parallel class of
edges of the polyhedron. For
parallelohedra,
there are
between three and six of
these parallel classes. The lengths...
-
referred to as the
parallelohedra. They are the
subject of
mathematical interest, such as in
higher dimensions.
These five
parallelohedra can be used to classify...
- Grünbaum,
Branko (2010-12-01). "The
Bilinski Dodecahedron and ****orted
Parallelohedra, Zonohedra, Monohedra, Isozonohedra, and Otherhedra". The Mathematical...
-
plesiohedron is
necessarily zero. The
plesiohedra include the five
parallelohedra.
These are
polyhedra that can tile
space in such a way that
every tile...
- respectively, that can
tessellate space with
their own copies. Cell-transitive
parallelohedra: any parallelepiped, as well as the
rhombic dodecahedron, the elongated...
-
generalization of a
parallelohedron and parallelogon, this
includes all
parallelohedra in the
first sense Zonotope This
disambiguation page
lists mathematics...
- such dissections.
Other convex polyhedra that are
stereohedra but not
parallelohedra nor
plesiohedra include the gyrobifastigium. Ivanov, A. B. (2001) [1994]...
- prism. Any
parallelepiped tessellates Euclidean 3-space, as do the five
parallelohedra including the cube,
hexagonal prism,
truncated octahedron, and rhombic...
- 56–57
Branko Grünbaum (2010). "The
Bilinski Dodecahedron and ****orted
Parallelohedra, Zonohedra, Monohedra, Isozonohedra, and Otherhedra" (PDF). 32 (4):...
-
number 103,769 = the
number of
combinatorial types of 5-dimensional
parallelohedra 103,823 = 473, the
smallest 6-digit cube and nice
Friedman number (−1...
