From Klein Bottles to Modular Super-Bottles: Unterschied zwischen den Versionen
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== Bibtex == | == Bibtex == | ||
| − | @inproceedings{bridges2016:41, | + | @inproceedings{bridges2016:41, |
author = {Carlo H. S\'equin}, | author = {Carlo H. S\'equin}, | ||
title = {From Klein Bottles to Modular Super-Bottles}, | title = {From Klein Bottles to Modular Super-Bottles}, | ||
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publisher = {Tessellations Publishing}, | publisher = {Tessellations Publishing}, | ||
address = {Phoenix, Arizona}, | address = {Phoenix, Arizona}, | ||
| − | url = {}, | + | url = {http://de.evo-art.org/index.php?title=From_Klein_Bottles_to_Modular_Super-Bottles}, |
note = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-41.html}} | note = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-41.html}} | ||
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== Used References == | == Used References == | ||
Version vom 26. Dezember 2016, 19:26 Uhr
Inhaltsverzeichnis
Reference
Carlo H. Séquin: From Klein Bottles to Modular Super-Bottles. In: Bridges 2016, Pages 41–48.
DOI
Abstract
A modular approach is presented for the construction of 2-manifolds of higher genus, corresponding to the connected sum of multiple Klein bottles. The geometry of the classical Klein bottle is employed to construct abstract geometrical sculptures with some aesthetic qualities. Depending on how the modular components are combined to form these “Super-Bottles” the resulting surfaces may be single-sided or double-sided.
Extended Abstract
Bibtex
@inproceedings{bridges2016:41,
author = {Carlo H. S\'equin},
title = {From Klein Bottles to Modular Super-Bottles},
pages = {41--48},
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=From_Klein_Bottles_to_Modular_Super-Bottles},
note = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-41.html}}
}
Used References
[1] E. Catmull and J. Clark, Recursively generated B-spline surfaces on arbitrary topological meshes. Computer-Aided Design 10 (1978), pp 350-355.
[2] FDM Technology. – http://www.stratasys.com/3d-printers/technologies/fdm-technology
[3] JMM 2016, Gallery. – http://gallery.bridgesmathart.org/exhibitions/2016-joint-mathematics-meetings
[4] R. Roelofs, Moebiustorus. – http://www.rinusroelofs.nl/sculpture/sculptures/sculpture-21.html
[5] Selective Laser Sintering. http://www.livescience.com/38862-selective-laser-sintering.html
[6] C. H. Séquin, From Moebius Bands to Klein-Knottles. Bridges Conf. Proc., pp 93-102, Towson, July 2012.
[7] C. H. Séquin, Cross-Caps – Boy Caps – Boy Cups. Bridges Conf. Proc., pp 207-216, Enschede, the Netherlands, July 26-31, 2013.
[8] C. H. Séquin and M. Galemmo, LEGO-Knots. Bridges Conf. Proc, Seoul, Korea, Aug. 14-19, 2014, pp 261-270. – http://archive.bridgesmathart.org/2014/bridges2014-261.html
[9] C. H. Séquin, Reconfigurable Snap-Together Sculpting. Computer-Aided Design and Applications 13(1), 2015, pp 1-13.
[10] C. H. Séquin, Parametric Co-Design of Modular Free-Form 2-Manifolds. Proceedings of CAD’16, Vancouver, Canada, June 27-30, 2016.
[11] J. Smith, SLIDE design environment. (2003). – http://www.cs.berkeley.edu/~ug/slide/
[12] C. Stoll, Double and Triple Klein Bottles. – http://www.kleinbottle.com/double_and_triple_Klein_Bottles.html
Links
Full Text
http://archive.bridgesmathart.org/2016/bridges2016-41.pdf
