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Re: What is Algebra, Anway?
Posted:
Aug 11, 2012 4:30 PM
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There was a period of time in which my post above was
not registering and so I posted it again. Both copies
eventually made it to the web archives, which I thought
was redundant, so I edited this copy to be something new.
I just got 'Divided Spheres: Geodesics and the Orderly
Subdivision of the Sphere' by Edward S. Popko. Some
links to pix follow at the end.
This book just came out and was stacked up at 'Bridges'
I hear. That's the math - art bridges conference, this
year in Baltimore. My associate David Koski was there,
and he has been feeding me some reports.
http://bridgesmathart.org/bridges-2012/
Since art is being eliminated from many curricula, art
teachers sent packing, I think it behooves the math
curriculum to re-create these bridges to art. They may
be computationally intensive, like Mandelbrot and
Mandelbulb, or not.
http://coffeeshopsnet.blogspot.com/2012/06/more-reveries.html
Popko's book talks a lot about Waterman Polyhedra. I'm
the guy who named them that, so Steve Waterman wouldn't
have to (looks less vain when someone else names your
chief discovery after you). Gerald de Jong, myself, and
a few others, helped get those computed and rendered
originally. Waterman himself was using Excel and physical modeling.
Waterman found quite a few collaborators over the years,
as the polyhedra were /are somewhat stunning. Find the convex
hull defined by all CCP balls distance x from a center
CCP ball. Other balls of lesser distance than x will
still be part of this set. I used qhull (free open
source: qhull.org) in my own modeling.
http://www.4dsolutions.net/ocn/wgraphics.html (early
work).
The new book:
http://www.flickr.com/photos/kirbyurner/7762133468/in/photostream/
Yes, I'm in the bibliography, happy to see that.
Kirby
Message was edited by: kirby urner
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