- 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...
-
Voronoi cell of a
symmetric Delone set. The
plesiohedra include the
parallelohedrons,
which can be
translated without rotating to fill a
space in which...
- dimensions,
hexagonal prisms with
parallel opposite faces are
called parallelohedrons and
these can
tessellate 3-space by translation. In
addition to the...
- be
repeated to fill space.
There are five three-dimensional
primary parallelohedrons, one of
which is the
truncated octahedron. This
polyhedron is generated...
- {\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...
-
different geometry than the face-transitive
rhombic dodecahedron. It is a
parallelohedron, a
polyhedron that can tile
space with
translated copies of itself...
-
Rhombohedron Type
prism Faces 6
rhombi Edges 12
Vertices 8
Symmetry group Ci , [2+,2+], (×),
order 2
Properties convex, equilateral, zonohedron,
parallelohedron...
- four-sided
parallelogon is
called a parallelogram. The
faces of a
parallelohedron (the
three dimensional analogue) are
called parallelogons. Quadrilateral...
-
generalization of a
parallelepiped and
parallelogram A
generalization of a
parallelohedron and parallelogon, this
includes all
parallelohedra in the
first sense...
