Fat Shellable Spheres
Abstract
The fatness of a 4-polytope or 3-sphere is defined as (f1+f2-20)/(f0+f3-10). We construct arbitrarily fat, strongly regular CW 3-spheres that are both shellable and dual shellable. These spheres have f-vectors ((n),(nα(n)),(nα(n)),(n)), where α is the inverse Ackermann function.
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