The Local-global Principle for Integral Bends in Orthoplicial Apollonian Sphere Packings
نویسنده
چکیده
We introduce an orthoplicial Apollonian sphere packing, which is a sphere packing obtained by successively inverting a configuration of 8 spheres with 4-orthplicial tangency graph. We will show that there are such packings in which the bends of all constituent spheres are integral, and establish the asymptotic local-global principle for the set of bends in these packings.
منابع مشابه
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