- In geometry, a
parallelohedron or
Fedorov polyhedron is a
convex polyhedron that can be
translated without rotations to fill
Euclidean space, producing...
-
Catalan solid, it is the dual
polyhedron of the cuboctahedron. As a
parallelohedron, the
rhombic dodecahedron can be used to
tesselate its
copies in space...
- {\displaystyle S=3a({\sqrt {3}}a+2h).} The
hexagonal prism is one of the
parallelohedron, a
polyhedral class that can be
translated without rotations in Euclidean...
- dodecahedron, it is a space-filling polyhedron, one of the five
types of
parallelohedron identified by
Evgraf Fedorov that tile
space face-to-face by translations...
- of many
classes of polyhedra:
Platonic solid,
regular polyhedron,
parallelohedron, zonohedron, and plesiohedron. The dual
polyhedron of a cube is the...
- three-dimensional
analogue of a
parallelogon is a
parallelohedron. All
faces of a
parallelohedron are parallelogons.
Quadrilateral and
hexagonal parallelogons...
-
tessellate 3-dimensional
space and is
called a
primary parallelohedron. Each
primary parallelohedron is
combinatorially equivalent to one of five types:...
- face-transitive
rhombic dodecahedron, but a
different geometry. It is a
parallelohedron, a
polyhedron that can tile
space with
translated copies of itself...
- be
repeated to fill space.
There are five three-dimensional
primary parallelohedrons, one of
which is the
truncated octahedron. This
polyhedron is generated...
-
Rhombohedron Type
prism Faces 6
rhombi Edges 12
Vertices 8
Symmetry group Ci , [2+,2+], (×),
order 2
Properties convex, equilateral, zonohedron,
parallelohedron...
