Truncated pentachoron

Cross-sections of the truncated tetrahedron

A truncated pentachoron, also known as the truncated 5-cell is a uniform polychoron produced by truncating a pentachoron. Each tetrahedral call of the pentachoron becomes a truncated tetrahedron and each vertex of the pentachoron becomes a tetrahedron.

Its Bowers acronym is tip, and its Bowers symbol is x3x3o3o.

Structure and Sections

Subfacets

• 20 points (0D)
• 40 line segments (1D)
• 20 triangles (2D)
• 10 hexagons (2D)
• 5 tetrahedra (3D)
• 5 truncated tetrahedra (3D)
• 1 truncated pentachoron (4D)

See Also

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