Sculptural Forms Based on Radially-developing Fractal Curves: Unterschied zwischen den Versionen
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== Used References == | == Used References == | ||
[1] David Bachman, Robert Fathauer, and Henry Segerman. Mathematical Art Galleries. | [1] David Bachman, Robert Fathauer, and Henry Segerman. Mathematical Art Galleries. | ||
| − | http://gallery.bridgesmathart.org/exhibitions/2015-jointmathematics- | + | http://gallery.bridgesmathart.org/exhibitions/2015-jointmathematics-meetings/bachman-0 (as of January 30, 20t17). |
| − | meetings/bachman-0 (as of January 30, 20t17). | ||
| − | [2] R. Fathauer. Robert Fathauer – art inspired by mathematics and nature. | + | [2] R. Fathauer. Robert Fathauer – art inspired by mathematics and nature. http://www.fathauerart.com/ (as of January 30, 2017). |
| − | http://www.fathauerart.com/ (as of January 30, 2017). | ||
[3] R. Fathauer. Some Hyperbolic Fractal Tilings. In Gary Greenfield, George Hart, and Reza Sarhangi, | [3] R. Fathauer. Some Hyperbolic Fractal Tilings. In Gary Greenfield, George Hart, and Reza Sarhangi, | ||
editors, Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture, pages 87-94, | editors, Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture, pages 87-94, | ||
| − | Phoenix, Arizona, 2014, Tesselations Publishing. Available online at http://archive. | + | Phoenix, Arizona, 2014, Tesselations Publishing. Available online at http://archive.bridgesmathart.org/2014/bridges2014-87.html |
| − | bridgesmathart.org/2014/bridges2014-87.html | ||
[4] R. Fathauer. Hyperbolic Fractal Tilings and Folded Structures. | [4] R. Fathauer. Hyperbolic Fractal Tilings and Folded Structures. | ||
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103-121. 2013. | 103-121. 2013. | ||
| − | [6] Jeffrey Ventrella, Brainfilling Curves – A Fractal Bestiary. https://archive.org/details | + | [6] Jeffrey Ventrella, Brainfilling Curves – A Fractal Bestiary. https://archive.org/details/BrainfillingCurves-AFractalBestiary (as of January 30, 2017). |
| − | /BrainfillingCurves-AFractalBestiary (as of January 30, 2017). | ||
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== Links == | == Links == | ||
Aktuelle Version vom 6. Dezember 2017, 18:57 Uhr
Inhaltsverzeichnis
Referenz
Robert Fathauer: Sculptural Forms Based on Radially-developing Fractal Curves. In: Bridges 2017, Pages 25–32.
DOI
Abstract
Fractal curves that develop spatially in a linear manner over several generations give rise to captivating sculptural forms. A variety of such structures are explored using different fractal curves, with the use of multiple copies allowing the creation of closed sculptural forms that are more vase- or pot-like. More complex, visually rich, and natural forms are generated by developing fractal curves radially in three dimensions. Computer graphics, 3D printing, paper folding, and ceramic sculpture are used to explore and elaborate these constructions.
Extended Abstract
Bibtex
@inproceedings{bridges2017:25,
author = {Robert Fathauer},
title = {Sculptural Forms Based on Radially-developing Fractal Curves},
pages = {25--32},
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/bridges2017-25.pdf}}
}
Used References
[1] David Bachman, Robert Fathauer, and Henry Segerman. Mathematical Art Galleries. http://gallery.bridgesmathart.org/exhibitions/2015-jointmathematics-meetings/bachman-0 (as of January 30, 20t17).
[2] R. Fathauer. Robert Fathauer – art inspired by mathematics and nature. http://www.fathauerart.com/ (as of January 30, 2017).
[3] R. Fathauer. Some Hyperbolic Fractal Tilings. In Gary Greenfield, George Hart, and Reza Sarhangi, editors, Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture, pages 87-94, Phoenix, Arizona, 2014, Tesselations Publishing. Available online at http://archive.bridgesmathart.org/2014/bridges2014-87.html
[4] R. Fathauer. Hyperbolic Fractal Tilings and Folded Structures. http://mathartfun.com/fractaldiversions/FoldingHome.html (as of January 30, 2017).
[5] G. Irving and H. Segerman, “Developing Fractal Curves”, J. Mathematics and the Arts, Vol. 7, pp. 103-121. 2013.
[6] Jeffrey Ventrella, Brainfilling Curves – A Fractal Bestiary. https://archive.org/details/BrainfillingCurves-AFractalBestiary (as of January 30, 2017).
Links
Full Text
http://archive.bridgesmathart.org/2017/bridges2017-25.pdf
