polyHédronismev0.2
rotate by dragging on polyhedron, rescale by scrolling over canvas
This is a toy for building complex 3D polyhedral shapes from simple ones by "recipes". A recipe looks like:
[op][op] ... [op][base] no spaces, just a string of characters
where [base] is one of
- T - tetrahedron
- C - cube
- O - octahedron
- I - icosahedron
- D - dodecahedron
- PN - N-sided prism
- AN - N-sided anti-prism
- YN - N-sided pyramid
and op is one of
- kN - kisN if no N then general kis
- a - ambo
- g - gyro
- d - dual
- r - reflect
- e - explode (equiv. to aa)
- b - bevel (equiv. to ta)
- o - ortho (equiv. to jj)
- m - meta (equiv. to k3j)
- tN - truncate (equiv. to dkNd)
- j - join (equiv. to dad)
- s - snub (equiv. to dgd)
- p - propellor
also, some newer, experimental operators
- l - stellation
- nN - insetN
- xN - extrudeN
- h - hollow/skeletonize, useful for 3D printing, makes a hollow-faced shell version of the polyhedron, only apply it once in a recipe!
- z - triangulate
There are more complicated, parameterized forms for k and n:
- n(n,inset,depth) - this applies the inset operator on n-sided faces, insetting by inset scaled from 0 to 1, and extruding in or out along the normal by depth (can be negative)
- k(n,depth) - this applies the kis operator on n-sided faces, setting the pyramidal height out or in along the normal by depth (can be negative)
- h(0,inset,depth) - this applies the hollowing/skeletonizing operator on all faces, insetting by inset (scaled from 0 to 1), and with a shell thickness of depth
there are also three "refinement" operators for the canonicalization of the polyhedral shape, mainly intended for making the more traditional, convex polyhedra more symmetric
- KN - quicK and dirty canonicalization, it can blow up, iteratively refines shape N times.
- CN - proper Canonicalization, intensive, slow convergence, iteratively refines shape N times.
- AN - convex spherical Adjustment. Iterates N times.
these will mangle the geometry of the weirder polyhedra, which can occasionally result in interesting results!
3D Printing
You can export these shapes in forms appropriate for 3D printing by shapeways. Export in VRML2 format to preserve face colors if you want to use their colored fused-sand process.
For more information on these operators and polyhedra:
