{"schema":"vela.problem-packet.v0.1","problem":651,"statement":"Let $f_k(n)$ denote the smallest integer such that any $f_k(n)$ points in general position in $\\mathbb{R}^k$ contain $n$ which determine a convex polyhedron. Is it true that\\[f_k(n) > (1+c_k)^n\\]for some constant $c_k>0$?","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}