Irregular Solid (R2)¶
A Phase 1 recipe applied beyond the Platonic solids.
Recipe R2 on the irregular-mixed (how the recipes work): zeros at the vertex directions, each of order equal to the vertex's valence; poles at the polar face directions, each of order equal to the face's number of sides.
Note
Two adjacent faces 3.4 degrees from coplanar: R2 near a combinatorial transition, made visible.
Zeros and poles¶
zeros (pits) poles (spikes). Markers grow with order. Drag to rotate, scroll or pinch to zoom, hover or tap a marker for details.
Views¶
The function and the print¶
| zeros | 9 points: 1 of order 3, 7 of order 4, 1 of order 5 |
| poles | 11 points: 9 of order 3, 1 of order 4, 1 of order 5 |
| degree | 36 |
| printed | not yet |
| cut | two different halves (a and b) |
| print files | coming to Printables: whole, cut halves, and a hanging-ornament version; 80 and 130 mm |
Where it comes from¶
- How the recipes work and how the constant is fixed: The recipes.
- Every recipe on the irregular-mixed, side by side: E001 atlas sheet.
- Printability and the cut plane: P001 and P002.
Status: exported. Generated from the catalog entry r2-irregular-mixed.