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User:Paxinum/Favourites

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Favourites

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  • Generalized taxicab number - ?


Unsolved problems in mathematics

Geometry: Is greedy algorithm optimal for maximizing area in triangles? Malfatti circles.

Graph theory: Overfull_graph#Overfull_conjecture, Barnette's conjecture

Hadwiger conjecture (graph theory)

Keller's_conjecture about tilings of Rn with cubes.

Rectangles in the Toothpick sequence.

Geometric shape optimization Moser's worm problem Moving sofa problem

Tilings:

Prototile, Domino problem, Socolar–Taylor tile, Heesch's problem, see also [1]

"No algorithm is known for deciding whether two arbitrary polyominoes are compatible." see Polyomino.

Mathematical puzzle

Turing complete stuff, and computations:

Wolfram's 2-state 3-symbol Turing machine, FRACTRAN

Duff's device

Ant colony optimization

Lego Technic

Cyclic cellular automaton

Wikipedia:List of really, really, really stupid article ideas that you really, really, really should not create

Wikipedia:Unusual requests

Chad (chess variant)

Metasyntactic variable

Nostalgia

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Mirror, Mirror (TV series)