Tetradyakis hexahedron
Encyclopedia
In geometry
, the tetradyakis hexahedron is a nonconvex isohedral polyhedron
. It has 48 intersecting scalene triangle faces, 72 edges, and 20 vertices.
It is the dual
of the uniform cubitruncated cuboctahedron
.
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 tetradyakis hexahedron is a nonconvex isohedral polyhedron
Polyhedron
In elementary geometry a polyhedron is a geometric solid in three dimensions with flat faces and straight edges...
. It has 48 intersecting scalene triangle faces, 72 edges, and 20 vertices.
It is the dual
Dual polyhedron
In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. The dual of the dual is the original polyhedron. The dual of a polyhedron with equivalent vertices is one with equivalent faces, and of one with equivalent edges is another...
of the uniform cubitruncated cuboctahedron
Cubitruncated cuboctahedron
In geometry, the cubitruncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U16.- Convex hull :Its convex hull is a nonuniform truncated cuboctahedron.- Cartesian coordinates :...
.