“Morph Duals By Tilting To Duals” is a Stella 4d feature that I haven’t used much. Here’s what happens if you apply it to an icosahedron, at the 50% morphing level: you get the compound of the icosahedron and its dual, the dodecahedron,
If you apply this same operation a second time, here’s what you get.
This appears to be a three-part compound, with two familiar components: the icosahedron (red) and the dodecahedron (orange). Remove those two components, and you get this:
Since this reminds me of an icosidodecahedron, I colored its faces to better suit that identity.
Little peeks at the edges of the solid above made me suspicious, so I hid these purple and green faces, to see the inner structure. Here’s the result.
I made all of these using Stella 4d, which you can try free at http://www.software3d.com/Stella.php.