The hemitesseract is a regular polychoron in projective space and a regular abstract polychoron. It can be made by identifying opposite elements of a tesseract.

Hemitesseract
Rank4
TypeRegular
Notation
Bowers style acronymEltes
Schläfli symbol
Elements
Cells4 cubes
Faces12 squares
Edges16
Vertices8
Vertex figureTetrahedron
Petrie polygons8 squares
Related polytopes
DualHemihexadecachoron
Abstract & topological properties
Flag count192
Euler characteristic0
Schläfli type{4,3,3}
OrientableYes
SkeletonK 4,4 

Realizations Edit

The hemitesseract has two faithful symmetric realizations, a pure one in 6 dimensions and one in 7 dimensions blended with the dyad.

External links Edit