- an
example of
which is the
fundamental domain of a lens
space L(p,q).
Dihedra have also been
called bihedra, flat polyhedra, or
doubly covered polygons...
- hosohedron. Some "improper" polyhedra, such as
hosohedra and
their duals,
dihedra,
exist as
spherical polyhedra, but
their flat-faced
analogs are degenerate...
-
Similarly to the
Platonic graphs, the
cycle graphs form the
skeletons of the
dihedra.
Their duals are the
dipole graphs,
which form the
skeletons of the hosohedra...
-
symmetry group Dnh
contains inversion iff n is even. The
hosohedra and
dihedra also
possess dihedral symmetry, and an n-gonal
prism can be constructed...
- both are given. The
spherical tilings include the set of
hosohedra and
dihedra which are
degenerate polyhedra.
These symmetry groups are
formed from the...
- hosohedra, {2,n} with 2
vertices at the poles, and lune faces, and the dual
dihedra, {n,2} with 2
hemispherical faces and
regularly spaced vertices on the...
- from
cardboard were po****r for a time in Europe.
Projections based on
dihedra begin appearing with the
Peirce quincuncial projection in 1879, Guyou...
-
their dual
dihedra {n,2}.
Coxeter calls these cases "improper" tessellations. The
first few
cases (n from 2 to 6) are
listed below. Star-
dihedra and hosohedra...
-
portion of that face.
There are also an
infinite number of
regular star
dihedra and
hosohedra {2,p/q} and {p/q,2} for any star
polygon {p/q}.
While degenerate...
- the hosohedra.
Their duals, the
cycle graphs, form the
skeletons of the
dihedra. Weisstein, Eric W. "Dipole Graph". MathWorld.
Jonathan L.
Gross and Jay...
