User:Paxinum/Favourites

Favourites

 * Generalized taxicab number - $$ \exists \{a,b,c,d\} \subset \mathbb{N} : a^5 + b^5 = c^5+d^5 \wedge a \neq c $$?

Unsolved problems in mathematics

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

Graph theory: Overfull_graph, 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

"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

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

Unusual requests

Chad (chess variant)

Metasyntactic variable

Nostalgia
Mirror, Mirror (TV series)