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For an arbitrary cocompact hyperbolic Coxeter group G with finite generator set S and complete growth function f S (x) = P (x)/Q(x) , we provide a recursion formula for the coefficients of the denominator polynomial Q(x). It allows to determine recursively the Taylor coefficients and to study the arithmetic nature of the poles of the growth function f S (x)… (More)

By different scissors congruence techniques a number of dissection identities are presented between certain quasi-Coxeter polytopes, whose parameters are related to the golden section, and an ideal regular simplex in hyperbolic 5-space. As a consequence, several hyperbolic polyhedral 5-volumes can be computed explicitly in terms of Apéry's constant ζ(3) and… (More)

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