The 4-Dimensional Perfect Solids
Pentaholohedron
also called
HyperTetrahedron and 5-Cell.
4-D analogue to the Tetrahedron, has 5
Tetrahedra on its surface.
Octaholohedron
also
called Tesseract (don't know why), HyperCube, and 8-Cell.
4-D analogue to
the Cube, has 8 Cubes on its surface.
Hexideciholohedron
also
called HyperOctahedron and 16-Cell.
4-D analogue to the Octahedron, has 16
Tetrahedra on its surface.
Tetricosiholohedron
also
called HyperCuboctahedron and 24-Cell.
no analogue, has 24 Octahedra on its
surface.
Icosicentiholohedron
also called
HyperDodecahedron and 120-Cell.
4-D analogue to the Dodecahedron, has 120
Dodecahedra on its surface.
Centihexiholohedron
also
called HyperIcosihedron and 600-Cell
4-D analogue to the Icosihedron, has
600 Tetrahedrahedra on its surface.