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Geometry


TitleAuthor(s)sort iconImp.¹Rec.²Topic » SubtopicPosted by
Simplexity of the n-cube✭✭✭1mdevos
Monochromatic empty triangles✭✭✭0mdevos
Inequality of the means✭✭✭0mdevos
Partition of Complete Geometric Graph into Plane Trees✭✭0David Wood
Covering a square with unit squares✭✭0Martin Erickson
Extension complexity of (convex) polygons✭✭0PolytopesDOT
Convex uniform 5-polytopes✭✭1ACW
Average diameter of a bounded cell of a simple arrangementDeza; Terlaky; Zinchenko✭✭0deza
Continous analogue of Hirsch conjectureDeza; Terlaky; Zinchenko✭✭0Polytopesdeza
Dirac's ConjectureDirac✭✭0David Wood
Durer's ConjectureDurer; Shephard✭✭✭1Polytopesdmoskovich
Fat 4-polytopesEppstein; Kuperberg; Ziegler✭✭✭0Polytopesmdevos
Erdös-Szekeres conjectureErdos; Szekeres✭✭✭0mdevos
Chromatic number of associahedronFabila-Monroy; Flores-Penaloza; Huemer; Hurtado; Urrutia; Wood✭✭1David Wood
A conjecture on iterated circumcentresGoddyn✭✭1mdevos
General position subsetsGowers✭✭0David Wood
The Hodge ConjectureHodge✭✭✭✭0Algebraic GeometryCharles
Edge-Colouring Geometric Complete GraphsHurtado✭✭1David Wood
Cube-Simplex conjectureKalai✭✭✭0Polytopesmdevos
Big Line or Big Clique in Planar Point SetsKara; Por; Wood✭✭1David Wood
Jacobian ConjectureKeller✭✭✭0Algebraic GeometryCharles
Kneser–Poulsen conjectureKneser; Poulsen✭✭✭0tchow
Convex Equipartitions with Extreme PerimeterNandakumar✭✭1Nandakumar
Convex 'Fair' Partitions Of Convex PolygonsNandakumar; Ramana✭✭1Nandakumar
Partitioning the Projective PlaneNoel✭✭1Jon Noel
Edge-Unfolding Convex PolyhedraShephard✭✭0Erik Demaine
Dense rational distance sets in the planeUlam✭✭✭0mdevos
Point sets with no empty pentagonWood✭1David Wood
Generalised Empty Hexagon ConjectureWood✭✭1David Wood

Imp.¹: Importance (Low ✭, Medium ✭✭, High ✭✭✭, Outstanding ✭✭✭✭)
Rec.²: Recommended for undergraduates.

Note: Resolved problems from this section may be found in Solved problems.

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