Proceedings of the Steklov Institute of Mathematics · 2015 · 19 citations · 3 references
ComputingComputer ScienceMathematicsComputational GeometryGeometryGeometric ApproximationGeometric OptimizationGeometry ProcessingPolyhedral AnalysisPolyhedron Theory
We introduce and analyze truncation operations on simple polytopes. The results obtained allow us to describe relations between various classes of polytopes. Special attention is paid to three-dimensional polytopes and, first of all, fullerenes.
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A Constructive Enumeration of Fullerenes
Gunnar Brinkmann, Andreas Dress · Journal of Algorithms · 1997 · 140 citations
Fullerenes and disk-fullerenes
Michel Deza, Mathieu Dutour Sikirić · Russian Mathematical Surveys · 2013 · 24 citations · Full text