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On sewing neighbourly polytopes


Abstract


In 1982, I. Shemer introduced the sewing construction for neighbourly 2m-polytopes. We extend the sewing to simplicial neighbourly d-polytopes via a verification that is not dependent on the parity of the dimension. We present also descibable classes of 4-polyopes and 5-polytopes generated by the construction.

DOI Code: 10.1285/i15900932v20n1p73

Keywords: d-polytope; Neighbourly; Sewing; Desciption

Classification: 52B11; 52B12

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