I only recently became aware of Anselm Levskaya's elegant polyHédronisme website. PolyHédronisme gives you an interactive 3D model of just about any polyhedron you can generate from a classical 'seed' polyhedron using Conway's polyhedron operators. By twiddling with the depth parameter of the kis operation, a deltahedron can be viewed in its (approximately) trirectangular stellation—which is how it would be realized in knotology weaving.
The eight convex deltahedra can be generated this way: tetrahedron (T), octahedron (O), icosahedron (I), and Johnson solids J12, J13, J17, J51, J84. Unfortunately none of these classic deltahedra is knotted (a.k.a., unicursal.) Any model you make on polyHédronisme can be referenced by URL as the links below demonstrate:
Tetrahedron; Trirectangular stellation of the tetrahedron.
Octahedron; Trirectangular stellation of the octahedron.
Icosahedron; Trirectangular stellation of the icosahedron.
Johnson solid J12; Trirectangular stellation of J12.
Johnson solid J13; Trirectangular stellation of J13.
Johnson solid J17; Trirectangular stellation of J17.
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