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Sat, 05 Aug 2006 13:58:53 -0700 (PDT)
Date: Sat, 5 Aug 2006 13:58:53 -0700
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From: "kirby urner"
RE:
Dieter Kotschick
The Topology and Combinatorics of Soccer Balls (American Scientist, Volume 94, pg. 350 -- July-August of this year).
Glenn Stockton's name appears in Math Forum in connection with his gifting me a photocopy of the cited article @ Pauling House (Wanderers' Meeting), followed by a quick recap of its contents FYI:
Having finally seen Da Vinci Code for the first time last night (read book a long time ago) I was surprised at how little it did to exploit a rich set of geometric relationships. Fibonaccis were not tied to Phi very clearly, despite Pentacle.
Of course for a non-specialist audience, there's only so much you want to get into.
A mental schema I use:
Kingdom A:
Periodic Crystal Lattices:
Sphere packing schemes: SCP, BCC, CCP
Rhombic Dodecahedron, octet truss (A.G. Bell's "kites")
http://worldgame.blogspot.com/2006/07/math-they-wont-teach-you.html
Kingdom B:
Aperiodic Lattices & Five-Fold Symmetry:
Icosahedron, Pentagonal Dodecahedron, Hexapents
Penrose tiles
http://www.4dsolutions.net/ocn/hexapent.html
In Fuller's scheme, these two neighboring Kingdoms are bridged by the so-called Jitterbug Transformation, which transformation I would expect to incorporate into some of our archived mathcasts (re: Math Casting see: http://mathforum.org/kb/thread.jspa?threadID=1425804&tstart=0 and of course my ToonTown proposal for PDX, a potential source for such vidclips).
Kirby
