- In
spherical geometry, an n-gonal
hosohedron is a
tessellation of
lunes on a
spherical surface, such that each lune
shares the same two
polar opposite...
- In geometry, an
apeirogonal hosohedron or
infinite hosohedron is a
tiling of the
plane consisting of two
vertices at infinity. It may be
considered an...
-
monogonal faces which share one 360° edge and one vertex. Its dual, a
hosohedron, {2,1} has two
antipodal vertices at the poles, one 360° lune face, and...
- polytopes, a
notable example being the
apeirogonal hosohedron, the
limit of a
general spherical hosohedron at infinity,
composed of an
infinite number of...
- most po****r
spherical polyhedron is the
beach ball,
thought of as a
hosohedron. Some "improper" polyhedra, such as
hosohedra and
their duals, dihedra...
- polyhedron: it
exists as a
spherical tiling of
digon faces,
called a
pentagonal hosohedron with Schläfli
symbol {2,5}. It has 2 (antipodal point) vertices, 5 edges...
- spaced. The
hosohedron {2,n} is dual to the
dihedron {n,2}. Note that when n = 2, we
obtain the
polyhedron {2,2},
which is both a
hosohedron and a dihedron...
- sphere. A
hosohedron is a
tessellation of the
sphere by lunes. A n-gonal
regular hosohedron, {2,n} has n
equal lunes of π/n radians. An n-
hosohedron has dihedral...
-
vertices are
equally spaced. The dual of an n-gonal
dihedron is an n-gonal
hosohedron,
where n
digon faces share two vertices. A
dihedron can be considered...
-
prism can be
constructed via the
geometrical truncation of an n-gonal
hosohedron, as well as
through the
cantellation or
expansion of an n-gonal dihedron...
