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math.CO2022
Counting quiddities of polygon dissections
Charles H Conley, Valentin Ovsienko
We formulate the following general problem. To the best of our knowledge, it is open and has not previously been considered. It seems (at least to us!) to be difficult; at any rate…
math.CO2021
Quiddities of polygon dissections and the Conway-Coxeter frieze equation
Charles H. Conley, Valentin Ovsienko
We study a matrix equation arising naturally in the theory of Coxeter frieze patterns. It is formulated in terms of the generators of the group $\mathrm{PSL}(2,\mathbb…