Frieze patterns
Aleksei Panov, Dmitri Panov, Peter Panov
TL;DR
This paper explores the geometry of frieze patterns and their connections to Greek vases, molecular symmetry, and 2D crystallography, aiming to educate school students about these mathematical and artistic concepts.
Contribution
It provides an accessible explanation of frieze patterns and their relation to symmetry in various contexts, integrating mathematical and historical perspectives.
Findings
Classification of frieze patterns based on symmetry
Connections between frieze patterns and Greek vase decoration
Applications of frieze patterns in crystallography
Abstract
We discuss here the geometry of frieze patterns, and add a few words about Greek vases, molecular symmetry, and 2D crystallography. The work is written primarily for school students.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · History and advancements in chemistry