Sesquitruncated gyrodeltoidal icositetrahedron

The sesquitruncated gyrodeltoidal icositetrahedron is a near-miss Johnson solid. Its faces are 16+16+8+8+8+8+8+8 isosceles triangles, 2 squares, 8+8 rectangles, 8 mirror-symmetric hendecagons and 16 irregular hendecagons.

To construct it, one needs to inscribe an irregular hendecagon in every face of gyrodeltoidal icositetrahedron (dual of J37) and fill all the remaining gaps with scalene triangles, isosceles triangles, rectangles and squares.