Examples
The cube can generate all the convex uniform polyhedra with octahedral symmetry. The first row generates the Archimedean solids and the second row the Catalan solids, the second row forms being duals of the first. Comparing each new polyhedron with the cube, each operation can be visually understood. (Two polyhedron forms don't have single operator names given by Conway.)
| Cube "seed" |
ambo (rectify) |
truncate | bitruncate | expand (cantellate) |
bevel (omnitruncate) |
snub |
|---|---|---|---|---|---|---|
C |
aC = djC |
tC = dkdC |
tdC = dkC |
eC = aaC = doC |
bC = taC = dmC = dkjC |
sC = dgC |
| dual | join | kis (vertex-bisect) |
ortho (edge-bisect) |
meta (full-bisect) |
gyro | |
dC |
jC = daC |
kdC = dtC |
kC = dtdC |
oC = deC = daaC |
mC = dbC = kjC |
gC = dsC |
Read more about this topic: Conway Polyhedron Notation
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