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交大游凱復的心得整理:ExamplesThecubecangeneratealltheconvexuniformpolyhedrawithoctahedralsymmetry.ThefirstrowgeneratestheArchimedeansolidsandthesecondrowtheCatalansolids,thesecondrowformsbeingdualsofthefirst.Comparingeachnewpolyhedronwiththecube,eachoperationcanbevisuallyunderstood.(TwopolyhedronformsdonthavesingleoperatornamesgivenbyConway.)Cube"seed"ambo(rectify)truncatebitruncateexpand(cantellate)bevel(omnitruncate)snubUniformpolyhedron-43-t0.pngCUniformpolyhedron-43-t1.pngaC=djCUniformpo...
交大游凱復的心得整理:
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 dont have single operator names given by Conway.)
Cube
"seed" ambo
(rectify) truncate bitruncate expand
(cantellate) bevel
(omnitruncate) snub
Uniform polyhedron-43-t0.png
C Uniform polyhedron-43-t1.png
aC = djC Uniform polyhedron-43-t01.png
tC = dkdC Uniform polyhedron-43-t12.png
tdC = dkC Uniform polyhedron-43-t02.png
eC = aaC = doC Uniform polyhedron-43-t012.png
bC = taC = dmC = dkjC Uniform polyhedron-43-s012.png
sC = dgC
dual join kis
(vertex-bisect) ortho
(edge-bisect) meta
(full-bisect) gyro
Uniform polyhedron-43-t2.png...