Abstract
In 1971, Branko Grünbaum noted that the projectived-arrangements formed by including with the facet hyperplanes of a regular polytope in Ed some of its hyperplanes of mirror symmetry and possibly the hyperplane at infinity might be expected to be simplicial. In this paper we show that none of the 4-arrangements so associated with either the 120-cell or the 600-cell inE 4 is simplicial.
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Marken, M., Wetzel, J.E. Grünbaum 4-arrangements on the 120-cell and the 600-cell. J Geom 45, 114–120 (1992). https://doi.org/10.1007/BF01225770
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DOI: https://doi.org/10.1007/BF01225770