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Inhaltsverzeichnis
Referenz
Gregg Helt: Inversive Diversions and Diversive Inversions. In: Bridges 2017, Pages 467–470.
DOI
Abstract
In this paper, we first briefly review aspects of inversive geometry and inversive fractals. Motivated by a desire to expand our geometric and artistic toolkit, we then introduce mixed-restriction limit sets as a new technique for use with iterated function systems and groups of circle inversions to create previously undiscovered 2D inversive fractals. We also apply this technique to diverse shape-based inversions that are closely related to circle inversion. Finally, we explore extending mixed-restriction limit sets and shape-based inversions into 3D to generate 3D inversive fractals.
Extended Abstract
Bibtex
@inproceedings{bridges2017:467,
author = {Gregg Helt},
title = {Inversive Diversions and Diversive Inversions},
pages = {467--470},
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/bridges2017-467.pdf}}
}
Used References
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[7] J. L. Ramírez and G. N. Rubiano, “A Generalization of the Spherical Inversion”, International Journal of Mathematical Education in Science and Technology, vol. 48, no. 1, pp. 132–149, 2017
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Links
Full Text
http://archive.bridgesmathart.org/2017/bridges2017-467.pdf
