Sesquitruncated pentagonal icositetrahedron

The hendecagonal-faced octahedral polyhedron is a near-miss Johnson solid. Topologically, its faces are 48 scalene triangles of two kinds, 8 triangles, 6 squares and 24 irregular hendecagons.

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



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