16 citations · 47 across the 18 of their papers we have counts for
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math.MG2009★ 6 cited
Lower bounds for the simplexity of the n-cube
Alexey Glazyrin
In this paper we prove a new asymptotic lower bound for the minimal number of simplices in simplicial dissections of -dimensional cubes. In particular we show that the number of…
math.MG2009
The Extremal Spheres Theorem
Arseniy Akopyan, Alexey Glazyrin, Oleg R. Musin +1
Consider a polygon P and all neighboring circles (circles going through three consecutive vertices of P). We say that a neighboring circle is extremal if it is empty (no vertices o…