The Fourth Dimension in Mathematics and Art
Inhaltsverzeichnis
Reference
Jean Constant: The Fourth Dimension in Mathematics and Art. In: Bridges 2016, Pages 541–544.
DOI
Abstract
The fourth dimension is a complex concept that deals with abstract reasoning, our sense of perception, and our imagination. This paper gives a brief overview of the background that leads to the study of the fourth dimension and focuses on the specifics of mathematics and visual imaging to illustrate the challenges and benefit of interdisciplinary collaboration to create a sound outcome.
Extended Abstract
Bibtex
@inproceedings{bridges2016:541,
author = {Jean Constant},
title = {The Fourth Dimension in Mathematics and Art},
pages = {541--544},
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_Fourth_Dimension_in_Mathematics_and_Art },
note = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-541.html}}
}
Used References
[1] Wallace, David F., (2003). Everything and More: A Compact History of Infinity. W. W. Norton & Company, p. 23
[2] Asscher, S.; Widger, D., (2008). “Plato - The Republic.” Project Gutenberg. Retrieved 12, 2015 from https://www.gutenberg.org/files/1497/1497-h/1497-h.htm.
[3] Milnor, John W., (1982). ‘Hyperbolic geometry: The first 150 years.’ Bull. Amer. Math. Soc. 6. 9-24.
[4] Henderson, Linda Dalrymple, (1983). The Fourth Dimension and Non-Euclidean Geometry in Modern Art. Princeton University Press.
[5] Reitzel, Erik ,(1984). “Le Cube ouvert.” International conference on tall buildings. Singapore.
[6] Weeks, Jeff, (2016). “4D Draw.” Retrieved 12, 2015 from http://geometrygames.org/Draw4D/index.html
[7] Reas, C., & Fry, B. (2007). Processing: A Programming Handbook for Visual Designers and Artists. The MIT Press.
[8] Weisstein, Eric W. "24-Cell.” MathWorld. Retrieved 12, 2015 from. http://mathworld.wolfram.com/24-Cell.html
[9] Bourke, P. (1990). “Hyperspace User Manual.” Retrieved 12, 2015, from http://paulbourke.net/geometry/hyperspace/
[10] Coxeter, H. S. M. (1973). Regular Polytopes. 3rd ed. New York: Dover.
Links
Full Text
http://archive.bridgesmathart.org/2016/bridges2016-541.pdf
