Scissors Congruence, the Golden Ratio and Volumes in Hyperbolic 5-Space
نویسندگان
چکیده
منابع مشابه
Scissors Congruence, the Golden Ratio and Volumes in Hyperbolic 5-Space
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 the trilogarithmic valueL3(π5 ).
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2012
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-012-9397-5