Solid · Detail · Turn
Platonic and polyhedral solids
Polyhedra drawn in line: Kepler's nested Platonic solids, geodesic spheres, Jessen's icosahedron, deltahedra built only from equilateral triangles, and a solid that cuts itself down by truncation.
Solids
6
Solid · Amount · Rounds
Vertices · Jitter · Turn
Fold · Turn · Tilt
Solids, from the Sun out · Evened out · Drawn as
Polytope · Turning · Fourth-axis turn
What each one draws
Geodesic Polyhedron
A Platonic solid, geodesically subdivided, drawn as 2D line art. Detail is subdivision; turn and tilt choose the view. Far side fades the hidden hemisphere so the solid reads in depth.
Self-Truncate
A Platonic seed, truncated toward rectification, then truncated again. Amount is how far each cut goes; rounds is how many times the solid eats itself.
Irregular Deltahedra
A convex hull of seeded points on a sphere. Every face is a triangle, none of them regular. Count is how many vertices; jitter breaks the even packing.
Jessen's Icosahedron
Twenty triangles whose every pair of neighbours meets at a right angle. Six pairs fold into deep notches, so a regular icosahedron turns star-like.
Kepler's Cosmos
The five Platonic solids nested one inside another, with a sphere between each pair: Kepler's 1596 model of why there were six planets, and why they sat where they did.
Tesseract
A four-dimensional cube turning through a direction we cannot point to. Its far cube swells, passes through the near one and turns inside out, edges never bending.