Quilting the Klein Quartic
Inhaltsverzeichnis
Referenz
Elisabetta Matsumoto: Quilting the Klein Quartic. In: Bridges 2017, Pages 411–414.
DOI
Abstract
The Klein Quartic curve contains the maximal number of symmetries a genus 3 surface can have: 84(g − 1) = 168. We create a fabric model of 24 regular heptagons that not only captures the platonic nature of the Klein Quartic, but it is flexible enough to be everted through any of its holes, thus illustrating 24 of the 168 symmetries, whilst rigid models can only display 12.
Extended Abstract
Bibtex
@inproceedings{bridges2017:411, author = {Elisabetta Matsumoto}, title = {Quilting the Klein Quartic}, pages = {411--414}, booktitle = {Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture}, year = {2017}, editor = {David Swart, Carlo H. S\'equin, and Krist\'of Fenyvesi}, isbn = {978-1-938664-22-9}, issn = {1099-6702}, publisher = {Tessellations Publishing}, address = {Phoenix, Arizona}, note = {Available online at \url{http://archive.bridgesmathart.org/2017/bridges2017-411.pdf}} }
Used References
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Links
Full Text
http://archive.bridgesmathart.org/2017/bridges2017-411.pdf