Snub tetrahedron

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Snub tetrahedron
Rank3
TypeIsogonal
Notation
Bowers style acronymSnit
Coxeter diagrams3s3s ()
Elements
Faces4+4 triangles, 12 scalene triangles
Edges6+12+12
Vertices12
Vertex figureIrregular pentagon
Measures (edge length 1)
Central density1
Related polytopes
ArmySnit
RegimentSnit
DualTetartoid
ConjugateRetrosnub tetrahedron
Abstract & topological properties
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryA3+, order 12
ConvexYes
NatureTame

The snub tetrahedron, or snit, is a convex isogonal polyhedron that is a variant of the icosahedron with chiral tetrahedral symmetry. It has 2 sets of 4 equilateral triangles of generally different sizes, along with 12 scalene triangles, for faces.

It can generally be formed by alternating a great rhombitetratetrahedron.

If the two sets of triangles are of equal length it can be called a semisnub octahedron.