3 problems

Let $P\subseteq \mathbb R^d$ be a simplicial polytope of dimension $d\geq 2k-1$, with $k\geq 2$. Let $G$ be a missing $(k-1)$-face of $\partial P$, and let $F$ be a $(k-1)$-subset…

Stress-sign conjecture. There exists a $(k-2)$-face $F\subset M$ and an affine $k$-stress $\lambda$ on $P$ such that, for every $(k-1)$-face $G=F\cup v_{F,G}$ of $\partial P$, one…

Let $P\subseteq \mathbb R^d$ be a simplicial $d$-polytope. For an affine $k$-stress on $P$, record the signs of the coefficients in its squarefree part on the $(k-1)$-faces; let…