Sesquitruncated pentagonal bifrustum

The sesquitruncated pentagonal bifrustum is a near-miss Johnson solid. Its faces are 10+10+10 isosceles triangles, 5 rectangles, 10 mirror-symmetric decagons and 2 dipentagons.

To construct it, one needs to inscribe a decagon in every face of a pentagonal bifrustum and fill all the remaining gaps with isosceles triangles and rectangles.



Variations
There is one variant of the sesquitruncated pentagonal bifrustum with all of the decagons regular. If the edge length of the decagon is 1, then the other edge length (connecting the rectangles with the equatorial isosceles triangles) is $$\frac{\sqrt{50-10\sqrt5}}{5}$$ ≈ 1.05146.

This variant is related to the truncated dodecahedron, except that in this variant, each of the decagon-first halves are aligned within prismatic symmetry.