Tridiminished icosahedron
Encyclopedia
In geometry
, the tridiminished icosahedron is one of the Johnson solid
s (J63).
The 92 Johnson solids were named and described by Norman Johnson in 1966.
of the snub 24-cell
, a uniform polychoron
(4-dimensional polytope).
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
, the tridiminished icosahedron is one of the Johnson solid
Johnson solid
In geometry, a Johnson solid is a strictly convex polyhedron, each face of which is a regular polygon, but which is not uniform, i.e., not a Platonic solid, Archimedean solid, prism or antiprism. There is no requirement that each face must be the same polygon, or that the same polygons join around...
s (J63).
The 92 Johnson solids were named and described by Norman Johnson in 1966.
Related polytopes
The tridiminished icosahedron is the vertex figureVertex figure
In geometry a vertex figure is, broadly speaking, the figure exposed when a corner of a polyhedron or polytope is sliced off.-Definitions - theme and variations:...
of the snub 24-cell
Snub 24-cell
In geometry, the snub 24-cell is a convex uniform polychoron composed of 120 regular tetrahedral and 24 icosahedral cells. Five tetrahedra and three icosahedra meet at each vertex. In total it has 480 triangular faces, 432 edges, and 96 vertices....
, a uniform polychoron
Uniform polychoron
In geometry, a uniform polychoron is a polychoron or 4-polytope which is vertex-transitive and whose cells are uniform polyhedra....
(4-dimensional polytope).
See also
- diminished icosahedron (J11)
- metabidiminished icosahedronMetabidiminished icosahedronIn geometry, the metabidiminished icosahedron is one of the Johnson solids . The name refers to one way of constructing it, by removing two pentagonal pyramids from a regular icosahedron, replacing two sets of five triangular faces of the icosahedron with two adjacent pentagonal faces...
(J62)