A tridiminished rhombicosidodecahedron is formed by removing three mutually disjoint pentagonal cupolas from a small
rhombicosidodecahedron and replacing them with three decagonal faces.
The convex equilateral form with regular polygonal faces
is the Johnson solid 
.
It has 45 polyhedron vertices, 75 polyhedron edges, and 32 faces. The faces
consist of 5 equilateral triangles, 15 squares, 9 regular pentagons,
and 3 regular decagons (McCooey).
See also
Diminished Polyhedron,
Pentagonal Cupola,
Small
Rhombicosidodecahedron
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References
Johnson, N. W. "Convex Polyhedra with Regular Faces." Canad. J. Math. 18, 169-200, 1966. https://doi.org/10.4153/CJM-1966-021-8.McCooey,
D. I. "Tridiminished Rhombicosidodecahedron." https://dmccooey.com/polyhedra/TridiminishedRhombicosidodecahedron.html.Referenced
on Wolfram|Alpha
Tridiminished Rhombicosidodecahedron
Cite this as:
Weisstein, Eric W. "Tridiminished Rhombicosidodecahedron."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TridiminishedRhombicosidodecahedron.html
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