Monday, March 2, 2026

Teafork: a polyhedron operation that preserves cursality on {3, 4}-face regular polyhedra

The teafork operation (t4k) applied to Johnson solid J8
Expressed in polyHédronisme algebra, the polyhedron-building operation t4k (teafork) preserves cursality when applied to polyhedra that have only triangles and quads as faces. In effect, teafork augments each triangle face with a pyramid and each quad face with a frustum. Since knotology weaving builds pyramids on triangle faces and weaves quad faces flat, an idea of the resulting knotology basket is given by applying k3.

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