- or higher, or a
polytope of
dimension 3 (a polyhedron) or higher, is
isohedral or face-transitive if all its
faces are the same. More specifically, all...
- ratio) as its faces. The
great rhombic triacontahedron is a
nonconvex isohedral,
isotoxal polyhedron with 30
intersecting rhombic faces. The
rhombic hexecontahedron...
- edge-to-edge.
There are also 2-
isohedral tilings by
special cases of type 1, type 2, and type 4 tiles, and 3-
isohedral tilings, all edge-to-edge, by special...
- is said to be
anisohedral if it
admits a tiling, but no such
tiling is
isohedral (tile-transitive); that is, in any
tiling by that
shape there are two...
- (edge-transitive) but not
isohedral (face-transitive). Semi-regular if
every face is a
regular polygon but it is not
isohedral (face-transitive) or isotoxal...
- They are all
isohedral. Each has
parametric variations within a
fixed symmetry. Type 2
contains glide reflections, and is 2-
isohedral keeping chiral...
- In mathematics, and
especially in geometry, an
object has
icosahedral symmetry if it has the same
symmetries as a
regular icosahedron.
Examples of other...
-
strongly than
having all
faces congruent, the
trigonal trapezohedra are
isohedral figures,
meaning that they have
symmetries that take any face to any other...
-
Euclidean 3-space, but such that no
tessellation by this
polyhedron is
isohedral. Such
anisohedral tiles were
found by Karl
Reinhardt in 1928, but these...
-
sphere with 100
facets flattened into it. Note that this
design is not
isohedral; it does not
function as a
uniform fair die as some
results are more likely...
