-
motivation for
studying zonohedra is that the
Voronoi diagram of any
lattice forms a
convex uniform honeycomb in
which the
cells are
zonohedra. Any zonohedron...
- line
segments produce zonohedra; the
segments forming a
zonohedron in this way are
called its generators.
Unlike some
other zonohedra, the parallelohedra...
-
dissected into four
golden rhombohedra, two of each type. The
vertices of the
zonohedra with
golden rhombic faces can be
computed by
linear combinations of two...
-
Catalan solids were
discovered by
Johannes Kepler during his
study of
zonohedra, and
Eugene Catalan completed the list of the
thirteen solids in 1865...
- Watanabe, Y.; Betsumiya, T.,
Derivation of Some
Equilateral Zonohedra and Star
Zonohedra (PDF),
Research of
pattern formation,
archived from the original...
-
Parallelepipeds are
zonohedra, and
Evgraf Fedorov proved that the
trigonal trapezohedra are the only
infinite family of
zonohedra whose faces are all...
-
symmetrohedra with some
truly regular polygon faces. Some near-misses are also
zonohedra. Some
failed Johnson solid candidates have
coplanar faces.
These polyhedra...
- of any
lattice forms a
convex uniform honeycomb in
which the
cells are
zonohedra. 1900:
Thorold Gosset enumerated the list of
semiregular convex polytopes...
- Parallelohedra",
Convex Polyhedra, Springer, pp. 349–359 Eppstein,
David (1996), "
Zonohedra and zonotopes",
Mathematica in
Education and Research, 5 (4): 15–21 Dodecahedral...
- In geometry, a cube or
regular hexahedron is a three-dimensional
solid object bounded by six
congruent square faces, a type of polyhedron. It has twelve...
