5 problems

The computed curves describe triply periodic surfaces parametrized by volume fraction, with points $B$ and $C$ marking portions that the numerical method was unable to reproduce. A…

Screw-symmetry classification conjecture. The tP, tD, CLP, and tG surfaces are the only TPMSg3s with an order-4 screw symmetry. The H, rPD, and rGL surfaces are the only TPMSg3s wi…

Classification conjecture. The tP, tD, CLP, and tG surfaces are the only members of $\mathcal{T}$. The H, rPD, and rGL surfaces are the only members of $\mathcal{R}$.

tP-family local rigidity conjecture. The bifurcation obtained in Theorem A at $a=a_2\approx 28.7783$ for the tP-family gives only homotheties of the surfaces in the original tP-fam…

Let ${\cal C}=\{4,6\,|\,4\}$ be the regular skew polyhedron considered in the paper, and let the exceptional directions be those plane directions for which the usual integrable asy…