44 citations · 182 across the 28 of their papers we have counts for
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math.CO2010
Plane square tilings
Mathieu Dutour Sikirić
We consider here square tilings of the plane. By extending the formalism introduced in [3] we build a correspondence between plane maps endowed with an harmonic vector and square t…
math.NT2010★ 8 cited
Inhomogeneous extreme forms
Mathieu Dutour Sikiric, Achill Schuermann, Frank Vallentin
G.F. Voronoi (1868-1908) wrote two memoirs in which he describes two reduction theories for lattices, well-suited for sphere packing and covering problems. In his first memoir a ch…
math.CO2010
({2,3}, 6)-spheres and their generalizations
Michel Deza, Mathieu Dutour Sikiric
We consider here 6-regular plane graphs whose faces have size 1, 2 or 3. In Section 2 a practical enumeration method is given that allowed us to enumerate them up to 53 vertices. S…