44 citations · 182 across the 28 of their papers we have counts for
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math.GT2009
4-regular and self-dual analogs of fullerenes
Mathieu Dutour Sikiric, Michel Deza
An i-hedrite is a 4-regular plane graph with faces of size 2, 3 and 4. We do a short survey of their known properties and explain some new algorithms that allow their efficient enu…
math.NT2009
Delaunay polytopes derived from the Leech lattice
Mathieu Dutour Sikiric, Konstantin Rybnikov
Given a lattice L of R^n, a polytope D is called a Delaunay polytope in L if the set of its vertices is S\cap L where S is a sphere having no lattice points in its interior. D is c…
math.CO2009★ 3 cited
Perfect but not generating Delaunay polytopes
Mathieu Dutour Sikiric, Konstantin Rybnikov
In his seminal 1951 paper "Extreme forms" Coxeter \cite{cox51} observed that for one can add vectors to the perfect lattice $\sfA_9$ so that the resulting perfect lattice…