2 problems

Let $P$ be a planar polyhedral complex, and let F=\max\{n\mid\text{\rm {there is an n-gon in }}P\}. Let $k$ and $r$ be the parameters in the spline-dimension formula of Theorem…

For a simplicial complex $\Delta\subseteq\mathbb{R}^2$, let $S^r_d(\Delta)$ be the real vector space of splines whose polynomial pieces have degree at most $d$ and whose smoothness…