Rectified hecatonicosachoron

Rectified hecatonicosachoron
Dimensionality	4
Schläfli Symbol	'"`UNIQ--postMath-00000001-QINU`"'.
Symmetry	H4 (full hexacosichoric symmetry)
Bowers acronym	rahi
Subfacets
Vertices	1200 points
Edges	3600 line segments
Faces	2400 triangles 720 pentagons
Cells	600 tetrahedra 120 icosidodecahedra
Tera	1 rectified hecatonicosachoron

The rectified hecatonicosachoron, the rectified 120-cell, or, in Bowers' naming system, the rahi, is a uniform polychoron created by rectifying a hecatonicosachoron. It is composed of 600 tetrahedral cells plus 120 icosidodecahedral cells, and its Schläfli symbol is $t_1 \{5,3,3\}$.

Structure

Three icosidodecahedra and two tetrahedra meet at each vertex. The tetrahedra exclusively meet at vertices and never along their edges.

See Also

	Regular $t_0 \{5,3,3\}$	Rectified $t_1 \{5,3,3\}$	Birectified $t_2 \{5,3,3\}$	Trirectified $t_3 \{5,3,3\}$	Truncated $t_{0,1} \{5,3,3\}$	Bitruncated $t_{1,2} \{5,3,3\}$	Tritruncated $t_{2,3} \{5,3,3\}$
	Hecatonicosachoron	Rectified hecatonicosachoron	Rectified hexacosichoron	Hexacosichoron	Truncated hecatonicosachoron	Bitruncated hecatonicosachoron	Truncated hexacosichoron
Cantellated $t_{0,2} \{5,3,3\}$	Bicantellated $t_{1,3} \{5,3,3\}$	Cantitruncated $t_{0,1,2} \{5,3,3\}$	Bicantitruncated $t_{1,2,3} \{5,3,3\}$	Runcinated $t_{0,3} \{5,3,3\}$	Runcicantellated $t_{0,2,3} \{5,3,3\}$	Runcitruncated $t_{0,1,3} \{5,3,3\}$	Runcicantitruncated $t_{0,1,2,3} \{5,3,3\}$
Cantellated hecatonicosachoron	Cantellated hexacosichoron	Cantitruncated hecatonicosachoron	Cantitruncated hexacosichoron	Runcinated hecatonicosachoron	Runcitruncated hexacosichoron	Runcitruncated hecatonicosachoron	Omnitruncated hecatonicosachoron