- 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...
-
barycentric subdivision of a tetrahedron. The name "tetrakis" is used for the
Kleetopes of
polyhedra with
square faces. Hence, the
tetrakis hexahedron can be...
-
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...
-
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...
- 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...
- each face of the
rhombic dodecahedron with a flat
pyramid results in the
Kleetope of the
rhombic dodecahedron,
which looks almost like the
disdyakis dodecahedron...
- 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...
-
disdyakis triacontahedron. That is, the
disdyakis triacontahedron is the
Kleetope of the
rhombic triacontahedron. It is also the
barycentric subdivision...
