The Elevation of Coxeter's Infinite Regular Polyhedron 444444
Inhaltsverzeichnis
Reference
Rinus Roelofs: The Elevation of Coxeter's Infinite Regular Polyhedron 444444. In: Bridges 2016, Pages 33–40.
DOI
Abstract
In their book “La Divina Proportione” [1],[2], Luca Pacioli and Leonardo da Vinci described and illustrated an operation which you can apply to a polyhedron, called Elevation. Starting from Pacioli’s basic idea, resulting in a second layer around a polyhedral shape, we can develop this idea further towards entwined double layer structures. Some of them are single objects, others appear to be compounds.
Extended Abstract
Bibtex
@inproceedings{bridges2016:33,
author = {Rinus Roelofs},
title = {The Elevation of Coxeter's Infinite Regular Polyhedron 444444},
pages = {33--40},
booktitle = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture},
year = {2016},
editor = {Eve Torrence, Bruce Torrence, Carlo S\'equin, Douglas McKenna, Krist\'of Fenyvesi and Reza Sarhangi},
isbn = {978-1-938664-19-9},
issn = {1099-6702},
publisher = {Tessellations Publishing},
address = {Phoenix, Arizona},
url = {http://de.evo-art.org/index.php?title=The_Elevation_of_Coxeter's_Infinite_Regular_Polyhedron_444444},
note = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-33.html}}
}
Used References
[1] Luca Pacioli – Leonardo da Vinci, La Divina Proportione, 1509, Ed. Akal, S.A., Madrid, 1991
[2] Luca Pacioli, Divina Proportione: Die Lehre Vom Goldenen Schnitt, 1509, Ed. Carl Graeser, Wien, 1896.
[3] Rinus Roelofs, Connected Holes, Bridges Proceedings, Leeuwarden, 2008.
[4] Rinus Roelofs, Elevations and Stellations, Bridges Proceedings, Seoul, 2014.
[5] Rinus Roelofs, The Concept of Elevation applied on Flat Patterns, Bridges Proceedings, Baltimore, 2015.
Links
Full Text
http://archive.bridgesmathart.org/2016/bridges2016-33.pdf
