Geometry
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-586 Erdős-Ulam Problem
- Math-597 Tammes Problem
- Math-598 Danzer's Problem
- Math-672 Erdős Problem #98
- Math-674 Erdős Problem #100
- Math-677 Erdős Problem #103
- Math-888 Erdős Problem #653
- Math-894 Erdős Problem #669
- Math-954 Erdős Problem #831
- Math-1030 Big Line or Big Clique in Planar Point Sets
- Math-1031 Average diameter of a bounded cell of a simple arrangement
- Math-1032 Simplexity of the n-cube
- Math-1033 Kneser–Poulsen conjecture
- Math-1034 Inequality of the means
- Math-1035 Covering a square with unit squares
- Math-1036 Partitioning the Projective Plane
- Math-1037 Chromatic number of associahedron
- Math-1038 Convex Equipartitions with Extreme Perimeter
- Math-1039 Edge-Unfolding Convex Polyhedra
- Math-1040 Fat 4-polytopes
- Math-1041 Cube-Simplex conjecture
- Math-1177 The Inscribed Square Problem
- Math-1341 Monochromatic empty triangles
- Math-1342 Convex uniform 5-polytopes
- Math-1343 Durer's Conjecture
- Math-1637 Baker's Dozen — Periodic billiard trajectories
- Math-1638 Baker's Dozen — Periodic hyperbolic outer billiards
- Math-1639 Baker's Dozen — Completely periodic hyperbolic outer billiards
- Math-1640 Baker's Dozen — Chains of null geodesics
- Math-1641 Baker's Dozen — Unbounded unicycle tracks
- Math-1642 Baker's Dozen — Convex tangent-segment iteration
- Math-1643 Baker's Dozen — A totally skew disc
- Math-1644 Degenerate facets of polytopes
- Math-1645 Faces of intricate polytopes
- Math-1646 Halving lines and k-sets
- Math-1647 Generating random simple polygons
- Math-1648 Triangulating a hypercube
- Math-1649 Perfect rational triangles
- Math-1650 Comparing sums of square roots
- Math-1651 Voronoi Diagram of Lines in 3D
- Math-1654 Minimum Euclidean Matching in 2D
- Math-1656 Output-sensitive Convex Hull in $\mathbb{R}^d$
- Math-1658 Minimum-Link Path in 2D
- Math-1659 Hexahedral Meshing
- Math-1662 Trapping Light Rays with Segment Mirrors
- Math-1666 Vertex-Unfolding Polyhedra
- Math-1667 General Unfoldings of Nonconvex Polyhedra
- Math-1669 Traveling Salesman Problem in Solid Grid Graphs
- Math-1670 Pallet Loading
- Math-1671 Most Circular Partition of a Square