Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Meadows in the Heptgrid and Possible Generalizations
Authors: Maurice Margenstern
Keywords: hyperbolic geometry, tilings, flowers, meadows.
– 1.48 Mb
Keywords: hyperbolic geometry, tilings, flowers, meadows.
Abstract
In this paper, we summarize the results about flowers in the heptagrid, the tessellation $(7,3)$ of the hyperbolic plane, results presented for MCU'2024 at Nice, France. In particular, we define meadows, more precisely $n$-meadows for any integer $n$ at least 3. We recall that for each integer $n$ at least three, there is an $n$-meadow on the heptagrid. We suggest that those results can be generalized to tilings $(p,3)$ of the hyperbolic plane, where $p\geq 7$.Université de Lorraine
LCOMS, Axe GLOBE,
Campus de Bridoux,
57073 Metz, Cédex 3, France
E-mail: ,
LCOMS, Axe GLOBE,
Campus de Bridoux,
57073 Metz, Cédex 3, France
E-mail: ,
DOI
https://doi.org/10.56415/csjm.v32.21Fulltext
– 1.48 Mb
Contents
- Preface
- Generalized Distributed Reaction Systems
- A 15-Year Retrospective on Insertion-Deletion Systems: Progress, Evolution, and Future Directions
- Insertion Systems Controlled by Ideals and Codes
- Restrictions on Multicounter and Partially-Blind Multicounter Languages
- Meadows in the Heptgrid and Possible Generalizations
- A Universal Reversible Turing Machine that Directly Simulates Reversible Counter Machines
