-
regular dodecahedron. See
section Geometric freedom for
other cases. Two
pyritohedra with
swapped nonzero coordinates are in dual
positions to each other...
- also form
shapes almost the same as a
regular dodecahedron,
known as
pyritohedra, and this
suggests an
explanation for the
artificial geometrical models...
- but
still sufficiently symmetrical to be face-transitive. Similarly,
pyritohedra and
tetartoids are less
symmetrical but
still face-transitive dodecahedra:...
- the
dyakis dodecahedron,
including tetrahedra, octahedra,
cubes and
pyritohedra.
Though the cube and
octahedron are in the
cubic crystal system, the...
-
ratio (sometimes
written φ). The dual
compound has two
dodecahedra as
pyritohedra in dual positions:
Compound of two snub
cubes Compound of two snub dodecahedra...
- sperrylite,
including four
different trapezohedra, a trisoctahedron, five
pyritohedra, and four diploids.
Crystals to 2.5 cm have been reported. Sperrylite...
-
disphenoidal tetrahedra,
vertex figures of this
honeycomb are
their duals –
pyritohedra, and
tetragonal disphenoids.
Cells can be seen as the
cells of the tetragonal...
- [3+,4,3], as an
alternation of a
truncated 24-cell, it
contains 24
pyritohedra (an
icosahedron with Th symmetry), 24
regular tetrahedra, and 96 triangular...
