arXiv
Open Access
2022
Isoperimetric Formulas for Hyperbolic Animals
Erika Roldan
Rosemberg Toala-Enriquez
Abstrak
An animal is a planar shape formed by attaching congruent regular polygons along their edges. In 1976, Harary and Harborth gave closed isoperimetric formulas for Euclidean animals. Here, we provide analogous formulas for hyperbolic animals. We do this by proving a connection between Sturmian words and the parameters of a discrete analogue of balls in the graph determined by hyperbolic tessellations. This reveals a complexity in hyperbolic animals that is not present in Euclidean animals.
Topik & Kata Kunci
Penulis (2)
E
Erika Roldan
R
Rosemberg Toala-Enriquez
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2022
- Bahasa
- en
- Sumber Database
- arXiv
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- Open Access ✓