Looking for more "exotic" classes of polyhedra

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I am aware of the Platonic Solids, the Archimedean Solids, the Catalan Solids, the Johnson solids, Goldberg polyhedra, deltahedra and some zonohedra.

I am interested in more names of polyhedra, specifically 3D polyhedra with iscosehedral symmetry and unit edge lengths. I do not require regular faces (as something like the rectified truncated icosahedron and the snub rhombic triacontahedron are the sort of polyhedra I am interested in). I am also interested in links to images.

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I can recommend these:

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Did you check this address? I think you can get good information there. https://en.wikipedia.org/wiki/Uniform_polyhedron