Volume of a doubly truncated hyperbolic tetrahedron

Alexander Kolpakov*, Jun Murakami

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


The present paper regards the volume function of a doubly truncated hyperbolic tetrahedron. Starting from the earlier results of J. Murakami, U. Yano and A. Ushijima, we have developed a unified approach to express the volume in different geometric cases by dilogarithm functions and to treat properly the many analytic strata of the latter. Finally, several numeric examples are given.

Original languageEnglish
Pages (from-to)449-463
Number of pages15
JournalAequationes Mathematicae
Issue number3
Publication statusPublished - 2013 Jun


  • Gram matrix
  • Hyperbolic tetrahedron
  • volume formula

ASJC Scopus subject areas

  • General Mathematics
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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