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Pandora's Sphere -

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Posted by: Jim Lehman

Pandora's Sphere is a program I devised based on a simple 1/6 arc of a circle module that leads to a paradox with a high level of complexity.

Sándor Kabai of the International Symmetry Society in Budapest formatted this work for review by the editors of their scientific publication: Symmetry: Culture and Science. Currently in PDF format, there are twenty four pages and over 100 computer generated images. In the event this work is accepted, it will be printed in their book: Polyhedra II next month.

This is the link to the PDF:
http://www.blackcatphotoproducts.com/Lehman1-A4.pdf

This program consists of a curved module that groups to form a flower-like pattern. This pattern defines territories and these areas have curved and non-curved (straight) edges and form a simple set of shapes. These shapes are used to define convex and concave forms.

Unexpected results are produced, where the edges of curved tetrahedrons have volume and a new kind of polyhedron is formed that I call Pandora's Sphere. The exterior of Pandora's Sphere is completely covered with straight edges while the interior is filled with curved edges.

This study was made visible by the computer. An abstract world is formed as a result of a simple module.

I invite comments, especially as they relate to the intent of NKS.

Jim Lehman


Posted by: Jim Lehman

The article: The Journey: Pandora's Sphere - A Paradox, is now published in the journal of the Symmetrion, Symmetry: Culture and Science, Budapest, Hungary, Editor: Gyorgy Darvas, Volume 13, Numbers 3-4, 2002. The PDF file referenced in the first posting contains the full content of my article.




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