Sesquitruncated pentagonal icositetrahedron

The hendecagonal-faced polyhedron is a near-miss Johnson solid. It's faces are 6 squares, 8 regular triangles, 24+24 scalene triangles and

24 irregular hendecagons.

To construct it, one needs to enscribe an equilateral hendecagon in every face of pentagonal icositetrahedron and fill all the remaining gaps with triangles and squares.



Alternatively it can be constructed as a truncation of order-4 truncated pentagonal icositetrahedron.