- Collection:
- Enhancing Global Research and Education in STEM at Spelman College (G-STEM)
- Title:
- Escher's tessellations and the 17 wallpaper groups, 2014
- Creator:
- Echols, Kayla
Baker, Andrew
Bellamy, Gwyn
Kraehmer, Ulrich - Date of Original:
- 2014
- Subject:
- Science
Technology--Study and teaching - Location:
- United States, 39.76, -98.5
United States, Georgia, Fulton County, Atlanta, 33.749, -84.38798 - Medium:
- abstracts (summaries)
- Type:
- Text
- Format:
- application/pdf
- Description:
- Many chemist and physicist know and use the fact that there are only 17 possible wallpaper structures, many do not know why. The research aims to give an uncomplicated description of how wallpaper patterns, defined as periodic 2-dimensional tiling of a pattern over a plane where there is no overlapping or gapping, are classified. Here we will use group theory and linear algebra to note an inconsistency in Morandi's definition of lattice as well as observe how to classify wallpaper patterns by lattice type, group actions, and whether or not they obtain a split group extension.
- External Identifiers:
- Metadata URL:
- http://hdl.handle.net/20.500.12322/sc.gstem:2014_echols_kayla
- Language:
- eng
- Extent:
- 1 page
- Original Collection:
- Enhancing Global Research and Education in STEM at Spelman College (G-STEM)
- Holding Institution:
- Spelman College
- Rights:
-
