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math.CO2020
A variation on the Rubik's cube
Mathieu Dutour Sikirić
The Rubik's cube is a famous puzzle in which faces can be moved and the corresponding movement operations define a group. We consider here a generalization to any -valent map. W…
math.NT2020
A Canonical Form for Positive Definite Matrices
Mathieu Dutour Sikirić, Anna Haensch, John Voight +1
We exhibit an explicit, deterministic algorithm for finding a canonical form for a positive definite matrix under unimodular integral transformations. We use characteristic sets of…