4 problems

Alternating-link conformality conjecture. All subdivision rules arising from alternating links in the cited work satisfy the 1,2,3-tile criterion and are conformal.

Hyperbolic 3-manifold subdivision-rule conjecture. All subdivision rules for hyperbolic $3$-manifolds with hyperbolic surface boundary satisfy the 1,2,3-tile criterion and behave l…

Axiom behavior conjecture. Every subdivision rule with exponential growth at each vertex that satisfies the 1,2,3-tile criterion satisfies axiom 1 but not axiom 2, as barycentric s…

Conformality conjecture. The subdivision rules for all alternating links are conformal.