Template:Platonic, Archimedean and Catalan solids with direction colors; table
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| tetrahedral (cat) | octahedral (cat) | icosahedral (cat) | |||
|---|---|---|---|---|---|
 6 blue points |
 12 blue points |
 30 blue points |
| Platonic (cat) | |||||
|---|---|---|---|---|---|
 pair 4-4 (cat) |
 pair 6-8 (cat) |
 pair 12-20 (cat) | |||
  4 (cat a/b) |
 6 (cat) |
 8 (cat) |
 12 (cat) |
 20 (cat) | |
| truncated | |||||
|---|---|---|---|---|---|
  truncated 4 (cat a/b) |
 truncated 6 (cat) |
 truncated 8 (cat) |
 truncated 12 (cat) |
 truncated 20 (cat) | |
  kis 4 (cat a/b) |
 kis 8 (cat) |
 kis 6 (cat) |
 kis 20 (cat) |
 kis 12 (cat) | |
| rectified | |||||
|---|---|---|---|---|---|
 4-4 (cat) |
 6-8 (cat) |
 12-20 (cat) | |||
 rhombic 6 (cat) |
 rhombic 12 (cat) |
 rhombic 30 (cat) | |||
| rhombi | |||||
|---|---|---|---|---|---|
 small rhombi 4-4 (cat) |
 great rhombi 4-4 (cat) |
 small rhombi 6-8 (cat) |
 great rhombi 6-8 (cat) |
 small rhombi 12-20 (cat) |
 great rhombi 12-20 (cat) |
 deltoidal 12 (cat) |
 disdyakis 6 (cat) |
 deltoidal 24 (cat) |
 disdyakis 12 (cat) |
 deltoidal 60 (cat) |
 disdyakis 30 (cat) |
| snub | |||||
|---|---|---|---|---|---|
  snub 4-4 (cat left/right) |
  snub 6-8 (cat left/right) |
  snub 12-20 (cat left/right) | |||
  pentagonal 12 (cat right/left) |
  pentagonal 24 (cat right/left) |
  pentagonal 60 (cat right/left) | |||
| chamfered (cat) | |||||
|---|---|---|---|---|---|
| For clarity's sake the chamfered Platonic solids with equal edge length are shown here. (The yellow faces in the canonical forms are very small.) But the duals below are dual to the canonical forms. | |||||
  chamfered 4 (cat a/b) |
 chamfered 6 (cat) |
 chamfered 8 (cat) |
 chamfered 12 (cat) |
 chamfered 20 (cat) | |
  alternate-3-kis 4-4 (cat a/b) |
 4-kis 6-8 (cat) |
 3-kis 6-8 (cat) |
 5-kis 12-20 (cat) |
 3-kis 12-20 (cat) | |