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Hexagonal Pyramid (R2)

A Phase 1 recipe applied beyond the Platonic solids.

Recipe R2 on the hexagonal pyramid (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

Digital only unless it screens well. The case where R1 (degree 7) is cheaper than R2 (8).

Zeros and poles

The hexagonal pyramid with the zeros (blue) and poles (red) of its function

zeros (pits) poles (spikes). Markers grow with order. Drag to rotate, scroll or pinch to zoom, hover or tap a marker for details.

Views

Phase portrait of f in the plane

Phase portrait of f in the plane

Phase on the Riemann sphere

Phase on the Riemann sphere

The printed shape, colored by phase

The printed shape, colored by phase

The printed shape

The printed shape

The function and the print

zeros 7 points: 6 of order 1, 1 of order 2
poles 7 points: 6 of order 1, 1 of order 2
degree 8
print digital only

Where it comes from

  • How the recipes work and how the constant is fixed: The recipes.
  • Every recipe on the hexagonal pyramid, side by side: E001 atlas sheet.

Status: candidate. Generated from the catalog entry r2-hexagonal-pyramid.