- In geometry, a
zonohedron is a
convex polyhedron that is
centrally symmetric,
every face of
which is a
polygon that is
centrally symmetric (a zonogon)...
-
classes of polyhedra:
Platonic solid,
regular polyhedron, parallelohedron,
zonohedron, and plesiohedron. The dual
polyhedron of a cube is the
regular octahedron...
- each of its
faces has
point symmetry the
truncated octahedron is a 6-
zonohedron. It is also the
Goldberg polyhedron GIV(1,1),
containing square and hexagonal...
-
types of
vertices surrounding this face. The
rhombic icosahedron is a
zonohedron. The
rhombic icosahedron has 5 sets of 8
parallel edges,
described as...
- honeycomb, but all
vertices will not match. The
rhombic dodecahedron is a
zonohedron with
twelve rhombic faces and
octahedral symmetry. It is dual to the quasiregular...
- (equivalently, 180°
rotational symmetry), the
truncated cuboctahedron is a 9-
zonohedron. The
truncated cuboctahedron can
tessellate with the
octagonal prism....
-
Rectangular cuboid Type
Prism Plesiohedron Faces 6
rectangles Edges 12
Vertices 8
Properties convex,
zonohedron, isogonal...
- honeycomb.
Truncated small rhombicuboctahedron Beveled cuboctahedron As a
zonohedron, it can be
constructed with all but 12
octagons as
regular polygons. It...
- transformations).
Since each face has
point symmetry, a
parallelepiped is a
zonohedron. Also the
whole parallelepiped has
point symmetry Ci (see also triclinic)...
-
called generators. In this connection, each pair of
opposite faces of a
zonohedron corresponds to a
crossing point of an
arrangement of
lines in the projective...
