36 citations · 170 across the 43 of their papers we have counts for
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math.MG2012★ 11 cited
On the optimality of the ideal right-angled 24-cell
Alexander Kolpakov
We prove that among four-dimensional ideal right-angled hyperbolic polytopes the 24-cell is of minimal volume and of minimal facet number. As a corollary, a dimension bound for ide…
math.MG2012
Volume of a doubly truncated hyperbolic tetrahedron
Alexander Kolpakov, Jun Murakami
The present paper regards the volume function of a doubly truncated hyperbolic tetrahedron. Starting from the previous results of J. Murakami, U. Yano and A. Ushijima, we have deve…