-
subgroup A4 of S4.
Chiral and full (or
achiral tetrahedral symmetry and
pyritohedral symmetry) are
discrete point symmetries (or equivalently, symmetries...
- its 6
square faces bisected on
diagonals with
pyritohedral symmetry. The
icosahedra with
pyritohedral symmetry constitute an
infinite family of polyhedra...
- not regular: The pyritohedron, a
common crystal form in pyrite, has
pyritohedral symmetry,
while the
tetartoid has
tetrahedral symmetry. The
rhombic dodecahedron...
- doi:10.1127/0935-1221/2005/0017-0905. The
pyritohedral form is
described as a
dodecahedron with
pyritohedral symmetry; Dana J. et al., (1944),
System of...
- plane. A half
symmetry form of the rhombicuboctahedron, ,
exists with
pyritohedral symmetry, [4,3+], (3*2) as
Coxeter diagram , Schläfli
symbol s2{3,4}...
- Coxeter–Dynkin diagrams: This
honeycomb can be alternated,
creating pyritohedral icosahedra from the
truncated octahedra with
disphenoid tetrahedral cells...
-
pentahexagonal pyritoheptacontatetrahedron is a near-miss
Johnson solid with
pyritohedral symmetry. This near-miss was
discovered by
Mason Green in 2006. It has...
- hyper-octahedral symmetry.
Another notable index 2
subgroup can be
called hyper-
pyritohedral symmetry, by dimension:
These groups have n
orthogonal mirrors in n-dimensions...
- reflections, and nine
groups by rotations,
alongside three mixed groups, the
pyritohedral group, and the full
icosahedral group.
There are 22
finite semiregular...
- symmetry. It has
three orientations of
stacked tetradecahedrons with
pyritohedral cells in the gaps. It is
found as a
crystal structure in
chemistry where...
