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The buildings gallery: visualizing buildings.

Authors :
Bekker, Bram
Solleveld, Maarten
Source :
Journal of Mathematics & the Arts; Mar-Jun2022, Vol. 16 Issue 1/2, p11-28, 18p
Publication Year :
2022

Abstract

Buildings are beautiful mathematical objects tying a variety of subjects in algebra and geometry together in a very direct sense. They form a natural bridge to visualizing more complex principles in group theory. As such, they provide an opportunity to talk about the inner workings of mathematics to a broader audience, but the visualizations could also serve as a didactic tool in teaching group and building theory, and we believe they can even inspire future research. We present an algorithmic method to visualize these geometric objects. The main accomplishment is the use of existing theory to produce three-dimensional, interactive models of buildings associated with groups with a BN-pair. The final product, an interactive web application called The Buildings Gallery, can be found at [Bekker, B. (2021, June). The Buildings Gallery]. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17513472
Volume :
16
Issue :
1/2
Database :
Complementary Index
Journal :
Journal of Mathematics & the Arts
Publication Type :
Academic Journal
Accession number :
157887261
Full Text :
https://doi.org/10.1080/17513472.2022.2063782