Blended tetrahedron

From Polytope Wiki
Jump to navigation Jump to search
Blended tetrahedron
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol

Elements
Faces4 skew triangles
Edges12
Vertices8
Petrie polygons6 skew squares
Related polytopes
ArmyTepe
Petrie dualBlended Petrial tetrahedron
Convex hullTetrahedral prism
Abstract & topological properties
Flag count48
Euler characteristic0
Schläfli type{6,3}
OrientableYes
Genus1
Properties
SymmetryA3×A1, order 48
ConvexNo
Dimension vector(2,3,3)

The blended tetrahedron or skew tetrahedron is a regular skew polyhedron in 4D Euclidean space. It is the result of blending a tetrahedron with a dyad.

Vertex coordinates[edit | edit source]

The vertex coordinates for the blended tetrahedron of unit edge length and skew distance can be given by all permutations of:

  • .

Related polytopes[edit | edit source]

The blended tetrahedron is abstractly equivalent to the Petrial cube.

In four dimensions, it is the kappa of the tetrahedron.

External links[edit | edit source]