36 citations · 170 across the 43 of their papers we have counts for
Showing 2012Show all
3 papers · 1 filter
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-ph2012★ 1 cited
Complementarity problems for electro-neutral charged bodies
A. A. Kolpakov, A. G. Kolpakov
Solutions to the complementarity problem constructed in [1], generally, possess non-zero total charge. In natural sciences, bodies possessing non-zero total charge (ions and simila…
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…