-
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...
- MR 2823098, S2CID 17515249. Taylor, Jean E. (1992), "
Zonohedra and
generalized zonohedra",
American Mathematical Monthly, 99 (2): 108–111, doi:10...
-
Catalan solids were
discovered by
Johannes Kepler during his
study of
zonohedra, and
Eugene Catalan completed the list of the
thirteen solids in 1865...
-
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...
- for any two
honeycombs (such as cube) in
three dimension and any two
zonohedra of
equal volume (in any dimension). A
partition into
triangles of equal...
- of any
lattice forms a
convex uniform honeycomb in
which the
cells are
zonohedra. 1900:
Thorold Gosset enumerated the list of
semiregular convex polytopes...
-
Parallelepipeds are
zonohedra, and
Evgraf Fedorov proved that the
trigonal trapezohedra are the only
infinite family of
zonohedra whose faces are all...
- Parallelohedra",
Convex Polyhedra, Springer, pp. 349–359 Eppstein,
David (1996), "
Zonohedra and zonotopes",
Mathematica in
Education and Research, 5 (4): 15–21 Dodecahedral...
-
symmetrohedra with some
truly regular polygon faces. Some near-misses are also
zonohedra. Some
failed Johnson solid candidates have
coplanar faces.
These polyhedra...
- the
kites are
rhombi (or squares);
hence these trapezohedra are also
zonohedra. They are
called rhombohedra. They are
cubes scaled in the
direction of...
