2 problems

Let $\gamma:S^1\to\mathbb{RP}^n$ be a smooth curve. For $k=0,\ldots,n-1$, let $D_k(\gamma)$ denote the union of the $k$-dimensional osculating subspaces to $\gamma$, and let its de…

Foldability conjecture. The circular pleat folds, and every similar crease pattern consisting of a concentric series of convex smooth curves also folds.