Versi-Quasi-Regular Duals

The dual of a versi-quasi-regular polyhedron is face-transitive with faces shaped like bowties. Face transitivity means that for any two faces of the polyhedron, there exists a translation, rotation, and/or reflection that leaves the outward appearance of the polyhedron unchanged yet moves one face to the other. There are seven versi-quasi-regular duals, all of which are self-intersecting. All seven have non-orientable surfaces (like that of a Klein Bottle or the Real Projective Plane).

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Small Rhombihexacron
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Great Rhombihexacron
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Small Dodecicosacron
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Great Dodecicosacron
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Small Rhombidodecacron
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Great Rhombidodecacron
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Rhombicosacron