- 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...
- 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...
- (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...
- 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...
-
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...
- 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...
- ISBNÂ 0-7167-1193-1. (Page 476,
Tilings by polygons, #19 of 56
polygonal isohedral types by quadrangles)
Media related to
Herringbone patterns at Wikimedia...
- the
Dorman Luke construction. The
Catalan solids are face-transitive or
isohedral meaning that
their faces are
symmetric to one another, but they are not...
