4 problems

Affine partition-of-unity conjecture.

Kalai's affine-stress support conjecture. Every $(i-1)$-face of $\Delta$ participates in some affine $i$-stress on $(\Delta,p)$. In particular, the space of affine $i$-stresses det…

Kalai's lower-stress reconstruction conjecture. The space $\mathcal S^a_i(P)$ determines the space $\mathcal S^a_j(P)$.

Kalai's affine-type reconstruction conjecture. If $P$ has no missing $(d-1)$-faces, then its graph and the space of affine $2$-stresses determine $P$ up to affine equivalence. More…