Rectified truncated tetrahedron

Faces20:
4 equilateral triangles
12 isosceles triangles
4 hexagons

Edges48

Vertices12+18

Schläfli symbolrt{3,3}

Rectified truncated tetrahedron
Faces	20: 4 equilateral triangles 12 isosceles triangles 4 hexagons
Edges	48
Vertices	12+18
Schläfli symbol	rt{3,3}
Conway notation	atT
Symmetry group	Td, [3,3], (*332), order 24
Rotation group	T, [3,3]+, (332), order 12
Dual polyhedron	Joined truncated tetrahedron
Properties	convex
Net

In geometry, the rectified truncated tetrahedron is a polyhedron, constructed as a rectified, truncated tetrahedron. It has 20 faces: 4 equilateral triangles, 12 isosceles triangles, and 4 regular hexagons.

Topologically, the triangles corresponding to the tetrahedron's vertices are always equilateral, although the hexagons, while having equal edge lengths, do not have the same edge lengths with the equilateral triangles, having different but alternating angles, causing the other triangles to be isosceles instead.