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arxiv: 1709.00956 · v2 · pith:IPMGROCLnew · submitted 2017-09-04 · 🧮 math.GT

Construction of infinite series of non-simple ideal hyperbolic Coxeter 4-polytopes and their growth rates

classification 🧮 math.GT
keywords infiniteseriescoxetergrowthhyperbolicidealnon-simplepolytopes
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We construct infinite series of non-simple ideal hyperbolic Coxeter 4-polytopes whose growth rates are Perron numbers. This infinite series is the first example of such a non-compact infinite polytopal series.

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