Ian Short

activity

20232026

most citedFrieze patterns and Farey complexes

2 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.CO2026

Optimal local convergence criteria for integer and Gaussian integer continued fractions

Ian Short, Margaret Stanier, Matty van Son +1

The objective of this work is to determine optimal local restrictions on the coefficients of integer and Gaussian integer continued fractions that imply convergence. We identify al…

math.CO2026

All Y-friezes come from $SL_{2}$ -friezes

Ian Short, Andrei Zabolotskii

We resolve a conjecture of de Saint Germain: all Y-friezes arise from $SL_{2}$ -friezes. Additionally, we give a threefold characterisation of those $SL_{2}$ -friezes t…

math.CO2026

Classifying integer tilings and hypertilings

Oleg Karpenkov, Ian Short, Matty van Son +1

There are two objectives to this work: to classify all tame integer tilings and to classify all tame integer hypertilings. Motivation for the first objective comes from Conway and…

Optimal local convergence criteria for integer and Gaussian integer continued fractions

All Y-friezes come from SL2​-friezes

Classifying integer tilings and hypertilings

All Y-friezes come from $SL_{2}$ -friezes