3 papers
math.CO2023
A new simple family of non-periodic tilings with square tiles
Nikolay Vereshchagin
We define a new family of non-periodic tilings with square tiles that is mutually locally derivable with some family of tilings with isosceles right triangles. Both families are de…
math.CO2020
A family of non-periodic tilings of the plane by right golden triangles
Nikolay Vereshchagin
We study a family of substitution tilings with similar right triangles of two sizes which is obtained using the substitution rule introduced in [Danzer, L. and van Ophuysen, G. A s…
math.LO2011
On the structure of Ammann A2 tilings
Bruno Durand, Alexander Shen, Nikolay Vereshchagin
We establish a structure theorem for the family of Ammann A2 tilings of the plane. Using that theorem we show that every Ammann A2 tiling is self-similar in the sense of [B. Solomy…