Rhombicuboctahedron (R4, vertex–edge)¶
A Phase 1 recipe applied beyond the Platonic solids.
Recipe R4ve on the rhombicuboctahedron (how the recipes work): zeros at the vertex directions, each of order equal to the vertex's valence; poles at the edge points (feet of the perpendiculars from the centre), each of order 2.
Note
The alternative recipe on the same symmetry: degree 48.
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 | 24 points: 24 of order 2 |
| poles | 48 points: 48 of order 1 |
| degree | 48 |
| printed | not yet |
| cut | two identical halves: print the half file twice |
| 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 rhombicuboctahedron, side by side: E001 atlas sheet.
- Printability and the cut plane: P001 and P002.
Status: exported. Generated from the catalog entry r4ve-rhombicuboctahedron.