Examples
These four convex polyhedra can be modelled physically with regular polygon faces with various degrees of adjustment. If they could be built exactly, they would be Johnson solids.
| Name | Image | verfs | V | E | F | F3 | F4 | F5 | F6 | F8 | F10 | Symmetry |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Truncated triakis tetrahedron | 4 (5.5.5) 24 (5.5.6) |
28 | 42 | 16 | 12 | 4 | Td | |||||
| -- | 6 (5.5.5) 9 (3.5.3.5) 12 (3.3.5.5) |
27 | 51 | 26 | 14 | 12 | D3h | |||||
| Tetrated dodecahedron | 4 (5.5.5) 12 (3.5.3.5) 12 (3.3.5.5) |
28 | 54 | 28 | 16 | 12 | Td | |||||
| -- | 12 (5.5.6) 6 (3.5.3.5) 12 (3.3.5.5) |
30 | 54 | 26 | 12 | 12 | 2 | D6h |
Read more about this topic: Near-miss Johnson Solid
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—Alexander Pope (16881744)
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—G.C. (Georg Christoph)
“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (18961966)