Category
page 1Unsolved problems in geometry
moving sofa problem
mathematical problem about moving the largest possible shape around a 90° corner
inscribed square problem
unsolved problem in geometry of whether every simple closed curve in the plane contains four points at the corners of a square
Jacobian conjecture
conjecture asserting that, over a characteristic-zero field K, given a polynomial map f: Kⁿ → Kⁿ, if its Jacobian determinant J: Kⁿ → K is a nonzero constant map, then f admits a polynomial inverse g: Kⁿ → Kⁿ
Hilbert's sixteenth problem
On topology of algebraic curves and surfaces
kobon triangle problem
mathematical problem
Heesch's problem
on surrounding polygons by layers of copies
Hilbert's fifteenth problem
On Schubert's enumerative calculus
square packing in a square
two-dimensional packing problem
Lebesgue's universal covering problem
unsolved geometry problem
Kalai's 3^d conjecture
maths conjecture
Moser's worm problem
Unsolved geometry problem about planar regions