Geodesic
Truncations of simple polytopes and applications
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected issues of mathematics and mechanics, Tome 289 (2015), pp. 115-144

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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. 
@article{TM_2015_289_a6,
     author = {V. M. Buchstaber and N. Yu. Erokhovets},
     title = {Truncations of simple polytopes and applications},
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     pages = {115--144},
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     volume = {289},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2015_289_a6/}
}
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V. M. Buchstaber; N. Yu. Erokhovets. Truncations of simple polytopes and applications. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected issues of mathematics and mechanics, Tome 289 (2015), pp. 115-144. http://geodesic.mathdoc.fr/item/TM_2015_289_a6/