- same
number of faces meet at each
vertex.
There are only five such polyhedra:
Geometers have
studied the
Platonic solids for
thousands of years. They...
-
Archimedean solid because it is not
vertex-transitive. The
Archimedean solids have the
vertex configuration and
highly symmetric properties.
Vertex configuration...
- construction.
These solids are face-transitive or
isohedral because their faces are
transitive to one another, but they are not
vertex-transitive because...
- From all
of the
Johnson solids, the
elongated square gyrobicupola (also
called the pseudorhombicuboctahedron) is
unique in
being locally vertex-uniform:...
-
a vertex configuration is
a shorthand notation for
representing the
vertex figure[dubious – discuss]
of a polyhedron or
tiling as the
sequence of faces...
-
a solid angle (symbol: Ω) is
a measure of the
amount of the
field of view from some
particular point that
a given object covers. That is, it is
a measure...
- of
global symmetries that map
every vertex to
every other vertex,
unlike the 13
Archimedean solids. It is also
a canonical polyhedron. For this reason...
- each
separating a triangle from
a square. As such, it is
a quasiregular polyhedron, i.e., an
Archimedean solid that is not only
vertex-transitive but also...
-
Solid geometry or
stereometry is the
geometry of three-dimensional
Euclidean space (3D space).
A solid figure is the
region of 3D
space bounded by
a two-dimensional...
- apex or
vertex.
A cone is
formed by
a set
of line segments, half-lines, or
lines connecting a common point, the apex, to all
of the
points on
a base that...