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After classifying 3-dimensional hyperbolic Coxeter pyramids by means of elementary plane geometry, we calculate growth functions of corresponding Coxeter groups by using Steinberg formula and conclude that growth rates of them are always Perron numbers. We also calculate hyperbolic volumes of them and compare volumes with their growth rates. Finally we consider a geometric ordering of Coxeter pyramids comparable with their growth rates.

生成讲解博客的中文版本

生成AI智能校验的中文版本