-
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...
-
trapezoidal faces,
which do not have
octahedral symmetry but
rather pyritohedral symmetry T h {\displaystyle \mathrm {T} _{\mathrm {h} }} , so they are...
- 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...
-
pentahexagonal pyritoheptacontatetrahedron is a near-miss
Johnson solid with
pyritohedral symmetry. This near-miss was
discovered by
Mason Green in 2006. It has...
- Jessen's icosahedron, and the
regular octahedron, in
accordance with the
pyritohedral symmetry of the icosahedron. When
interpreted as a
framework of rigid...
-
symmetry [3,3] mirrors, and 3
mirrors of
dihedral symmetry Dih2, [2,2].
Pyritohedral symmetry is
another doubling of
tetrahedral symmetry. The
conjugacy classes...
- or
diploid is a
variant of the
deltoidal icositetrahedron with
pyritohedral symmetry,
transforming the kite
faces into
chiral quadrilaterals. The...
