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Topic: F4 polytope

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	The Geometry Junkyard: All Topics
		Pankaj Agarwal and Sandeep Sen ask for triangulations of convex polytopes in which the vertex or edge degree is bounded by a constant or polylog.
		A diagram representing a complex polytope, from H.
		Edge-tangent polytope illustrating Koebe's theorem that any planar graph can be realized as the set of tangencies between circles on a sphere.
	www.ics.uci.edu /~eppstein/junkyard/all.html (9740 words)

	Tarot
		F4 was smaller and less complicated, so when I started with it I could build a sort of "approximate" model.
		Then later, when I realized that F4 was not big enough, it was natural for me to go beyond 52-dim F4 to 78-dim E6 and the D4-D5-E6 physics model.
		The entire spread represents 78-dimensional E6, which can be constructed from 28+24 = 52-dimensional F4, and 4+1+4+8+1+8 = 26-dimensional J3(O).
	www.valdostamuseum.com /hamsmith/seftar.html (1751 words)

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