Creating Two and Three Dimensional Fractals from the Nets of the Platonic Solids

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Reference

Stanley Spencer: Creating Two and Three Dimensional Fractals from the Nets of the Platonic Solids. In: Bridges 2011. Pages 25–32

DOI

Abstract

Regular polygons can be used to construct a number of solids. A large number of examples can be found at [3]. The pictures and models described in this paper start from the nets of solids that are constructed from regular polygons. The introduction considers, generally, a range of solid types that were used to create fractals in two and three dimensions. The resulting fractals have been used as a framework for displaying pictures. The body of this paper is limited to a discussion of the Platonic Solids. Whilst much progress has been made with other regular solids they will need to be the subject of a separate paper.

Extended Abstract

Bibtex

Used References

[1] Hans Lauwerier, Fractals Images of Chaos, ISBN 0-14-014411,-0 Penguin, 1991

[2] David Wells, Curious and Interesting Geometry, ISBN 0-14-011813-6, Penguin, 1991

[3] http://en.wikipedia.org/wiki/Platonic_solid(accessed 12.12.2010)

[4] http://www.korthalsaltes.com (accessed 12.12.2010)

[5] http://en.wikipedia.org/wiki/Archimedes(accessed 12.12.2010)

[6] http://www.mathpages.com/home/kmath096/kmath096.htm(accessed 12.12.2010)


Links

Full Text

http://archive.bridgesmathart.org/2011/bridges2011-25.pdf

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Sonstige Links

http://archive.bridgesmathart.org/2011/bridges2011-25.html