For certain classes of neighbourly 4-polytopes P, any facet of P is strictly separated from an arbitrary fixed interior point of P by one of at most nine hyperplanes. This result, proved for the class of cyclic 4-polytopes by K. Bezdek and T. Bisztriczky, represents a verification of the Gohberg-Markus-Hadwiger Conjecture for the corresponding classes of dual polytopes P*.
SHEMER, I. Neighborly polytopes, Israel J. Math. 43 (1982), 291-314. MR 84k:52008
'Neighborly polytopes' () 43Israel J. Math.: 291-314.
Neighborly polytopesIsrael J. Math.43291314)| false