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Questions related to permutations, bijections from a finite (or sometimes infinite) set to itself.

2 votes

Number of solutions and minimal clues in Sixy Sudoku

As for the first question, a backtracking algorithm, see sixy.c at https://github.com/wilberdk/sixy shows there are 1936 completions of $$\matrix{1&2&3&4&5&6\cr *&*&*&*&*& *\cr *&*&*&*&*&*\cr *&*& …
Wilberd van der Kallen's user avatar
53 votes

Conceptual reason why the sign of a permutation is well-defined?

Draw a braid on $n$ strings sloppily, so that no three strings pass through the same point. Convince yourself that the parity of the number of crossings is the same in every other drawing of the sam …
Wilberd van der Kallen's user avatar