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.

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.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.

About this shape

Truncating the Platonic solids · after Archimedes

Self-Truncate, polyhedron, drawn by GART: 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.
Self-Truncate · CC BY 4.0

A Platonic seed, cut toward rectification, then cut again. Amount is how far each vertex is eaten; rounds is how many times the solid applies the same bite to itself. Drawn as the same isometric line art as Geodesic.

1D fold
Six squares on a belt. Fold the creases and the cube closes.

Behind the mathematics

Archimedesc. 287–c. 212 BCE

The solids made by truncation

Greek mathematician whose study of the spiral established a curve whose radius grows at a constant rate with its angle.