Polyhedron

Polyhedron — The regular solids and tilings, by Schläfli symbol {p,q}: faces of p sides, q of them at every corner. {3,3} is the tetrahedron, {4,3} the cube, {3,4} the octahedron, {5,3} the dodecahedron, {3,5} the icosahedron; where the corners make a full turn the faces tile the plane, and past it they tile the hyperbolic plane, drawn in Poincaré's disk. On a solid, morph cuts the corners through the rectified solid to the dual, op applies a Conway operator and kis raises a pyramid on every face.

Open Polyhedron in chaosrack →

It opens running, on the model selector, with its own knobs. Rotate it by dragging, zoom with the wheel, and turn the parameters to see what the figure does when the system changes.