This is similar to the polyhedron seen here: https://robertlovespi.wordpress.com/2014/05/21/polyhedron-featuring-twenty-regular-nonagons-twelve-regular-pentagons-and-sixty-isosceles-triangles/. The difference is that the enneagons (also called nonagons) are closer to this polyhedron’s center, causing them to overlap slightly.

Software credit: visit http://www.software3d.com/Stella.php for a free trial download of Stella 4d, the program I used to create this image.