TL;DR
This paper introduces additive frieze patterns, connects them to multiplicative patterns, and presents new theorems and a conjecture, expanding the theoretical understanding of frieze patterns.
Contribution
It provides new theorems on additive frieze patterns and proposes a conjecture about infinite multiplicative frieze patterns, advancing mathematical theory.
Findings
Two new theorems on additive frieze patterns
A conjecture on infinite multiplicative frieze patterns
Linking additive and multiplicative frieze patterns
Abstract
The following article is one of introduction to additive frieze patterns, linking the subject to multiplicative frieze patterns. We also add two new theorems about additive frieze patterns (see theorem 2 and 5) and a conjecture about infinite multiplicative frieze patterns. (the parper is in french)
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Taxonomy
TopicsMathematical Dynamics and Fractals · semigroups and automata theory · Geometric and Algebraic Topology