Tipus de document
Treball de fi de grauData de publicació
Llicència de publicació
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/220845
Classification of wallpaper groups and frieze groups
Títol de la revista
Autors
Director/Tutor
ISSN de la revista
Títol del volum
Recurs relacionat
Resum
The aim of this paper is to classify wallpaper groups and frieze groups. To do so, we will first define symmetry groups and some of their invariants. Then, we will restrict ourselves to plane symmetry groups (the wallpaper groups) and define when two of these groups are equivalent. Then, we will show that there are exactly 17 equivalence classes. We will also see a few examples in order to show how to find the corresponding equivalence class of the wallpaper group for a given periodic design.
Moreover, we can also restrict the definition of symmetry groups to frieze groups. Since the defined equivalence relationship will remain valid, we will repeat the same process to see that there are exactly 7 frieze groups, of which we will also study some concrete examples. Finally, we will relate wallpaper groups and frieze groups in the last chapter of this bachelor thesis.
Descripció
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: Ricardo García López
Matèries (anglès)
Citació
Col·leccions
Citació
TORMO BAÑUELOS, Lucía. Classification of wallpaper groups and frieze groups. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/220845