Chamfered tesseract

Chamfered tesseract
Rank	4
Elements
Cells	8 cubes, 24 square bifrusta
Faces	48 squares, 96 isosceles trapezoids
Edges	32+64+96
Vertices	16+64
Vertex figures	16 cubes
	64 triangular pyramids
Measures (edge lengths 1, 2)
Central density	1
Related polytopes
Dual	Octaaugmented icositetrachoron
Abstract & topological properties
Flag count	2304
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	B4, order 384
Flag orbits	6
Convex	Yes
Nature	Tame

The chamfered tesseract, also known as the octatruncated icositetrachoron, is a convex polychoron. It has 8 cubes and 24 square bifrusta as cells. It can be obtained as the convex core of a tesseract with hyperplanes passing under each square face. It can also be made by truncating an icositetrachoron at 8 vertices of an inscribed hexadecachoron.

Related polytopes

It is the convex core of several uniform polychora:

• grand rhombic prismatotesseract
• prismatointercepted prismatotesseractihexadecachoron
• grand quasirhombic prismatotesseract
• prismatointercepted tesseractitesseractihexadecachoron