- In
geometry and
polyhedral combinatorics, the
Kleetope of a
polyhedron or higher-dimensional
convex polytope P is
another polyhedron or
polytope PK formed...
- an
instance of a
general construction called the
Kleetope; the
triakis icosahedron is the
Kleetope of the icosahedron. This
interpretation is also expressed...
-
pentagonal pyramid to each face of a
regular dodecahedron; that is, it is the
Kleetope of the dodecahedron. Specifically, the term
typically refers to a particular...
- cube with
square pyramids covering each
square face; that is, it is the
Kleetope of the cube. A non-convex form of this shape, with
equilateral triangle...
-
octahedron with
triangular pyramids added to each face; that is, it is the
Kleetope of the octahedron. It is also
sometimes called a trisoctahedron, or, more...
-
tetrahedron with a
triangular pyramid added to each face; that is, it is the
Kleetope of the tetrahedron. It is very
similar to the net for the 5-cell, as the...
- bipyramids. The
Kleetope of a
polyhedron is a new
polyhedron made by
replacing each face of the
original with a pyramid, and so the
faces of a
Kleetope will be...
-
topologically equivalent to it. More formally, the
disdyakis dodecahedron is the
Kleetope of the
rhombic dodecahedron, and the
barycentric subdivision of the cube...
-
different ways. The
Kleetope of a
polyhedron is a
construction involving the
attachment of pyramids. A
triangular bipyramid's
Kleetope can be constructed...
-
Attaching a
square pyramid to each
square face of a cube
produces its
Kleetope, a
polyhedron known as the
tetrakis hexahedron.
Suppose one and two equilateral...
