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A simplicial 3-arrangement of 22 planes

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Abstract

This paper describes a join-irreducible simplicial arrangement A sup3inf1 (22) of 22 planes in real projective 3-space that is not included in the list recently published by Branko Grünbaum and G. C. Shephard. Seventeen sporadic 3-arrangements are now known.

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References

  1. Alexanderson, G. L. and Wetzel, John E., ‘A Simplicial 3-Arrangement of 21 Planes’, Discrete Math. (to appear).

  2. Grünbaum, Branko, Arrangements and Spreads, CBMS Regional Conference Series in Mathematics No. 10, Amer. Math. Soc., Providence, R.I., 1972.

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  3. Grünbaum, Branko, ‘Arrangements of Hyperplanes’ in Proc. Second Louisiana Conf. on Combinatorics, Graph Theory and Computing (R. C. Mullin et al. (eds)), Louisiana State University, Baton Rouge, 1971, pp. 41–106.

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  4. Grünbaum, Branko and Shephard, G. C., ‘Simplicial Arrangements in Projective 3-Space’, Mitt. Math. Sem. Giessen 166 (1984), 49–101.

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Authors and Affiliations

  1. Department of Mathematics, University of Santa Clara, 95053, Santa Clara, CA, USA

    G. L. Alexanderson

  2. Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, 61801, Urbana, IL, USA

    J. E. Wetzel

Authors
  1. G. L. Alexanderson
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  2. J. E. Wetzel
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Alexanderson, G.L., Wetzel, J.E. A simplicial 3-arrangement of 22 planes. Geom Dedicata 21, 257–264 (1986). https://doi.org/10.1007/BF00181531

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  • DOI: https://doi.org/10.1007/BF00181531

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