Rectified truncated dodecahedron

In geometry, the rectified truncated dodecahedron is a convex polyhedron, constructed as a rectified, truncated dodecahedron. It has 92 faces: 20 equilateral triangles, 60 isosceles triangles, and 12 decagons.

Rectified truncated dodecahedron
Faces	92: 20 equilateral triangles 60 isosceles triangles 12 decagons
Edges	180
Vertices	90
Schläfli symbol	rt{5,3}
Conway notation	atD
Symmetry group	Ih, [5,3], (*532), order 120
Rotation group	I, [5,3]+, (532), order 60
Dual polyhedron	Joined truncated dodecahedron
Properties	convex
Net

Topologically, the triangles corresponding to the dodecahedrons's vertices are always equilateral, although the decagons, 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.