- icosahedron.
These Kleetopes are
formed by
adding a
triangular pyramid to each face of them. The
tetrakis hexahedron is the
Kleetope of the cube, formed...
-
interpretation is also
expressed in the name, triakis,
which is used for the
Kleetopes of
polyhedra with
triangular faces. When
depicted in Leonardo's form,...
-
interpretation is also
expressed in the name, triakis,
which is used for
Kleetopes of
polyhedra with
triangular faces. The
triakis tetrahedron is a Catalan...
- 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...
-
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...
-
topologically equivalent to it. More formally, the
disdyakis dodecahedron is the
Kleetope of the
rhombic dodecahedron, and the
barycentric subdivision of the cube...
- with four
triangular pyramids attached to each of its faces. i.e., its
kleetope.
Regular tetrahedra alone do not
tessellate (fill space), but if alternated...
-
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...
- is
missing and used for mounting. This
shape is
technically known as a
Kleetope of a rhombicuboctahedron. Each face of the
geometric solid in the middle...