Deltoidal Icositetrahedron (R2)¶
A Phase 1 recipe applied beyond the Platonic solids.
Recipe R2 on the deltoidal icositetrahedron (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
Headline beyond-Platonic piece: degree 96, orders up to 4, octahedral symmetry.
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 | 26 points: 8 of order 3, 18 of order 4 |
| poles | 24 points: 24 of order 4 |
| degree | 96 |
| printed | yes |
| cut | two identical halves: print the half file twice |
| print files | on 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 deltoidal icositetrahedron, side by side: E001 atlas sheet.
- Printability and the cut plane: P001 and P002.
Status: listed. Generated from the catalog entry r2-deltoidal-icositetrahedron.