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A partial plane of order 6 constructed from the icosahedron

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Abstract

We show that a maximal partial plane of order 6 with 31 lines and a maximal pure partial plane of order 6 with 25 lines can be constructed from the icosahedron and the Petersen graph.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Tübingen, Auf der Morgenstelle 10, Tübingen, 72076, Germany

    Christoph Hering

  2. Wilhelm-Schickard-Institute, University of Tübingen, Sand 13, Tübingen, 72076, Germany

    Andreas Krebs

Authors
  1. Christoph Hering
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  2. Andreas Krebs
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Corresponding author

Correspondence to Christoph Hering.

Additional information

To Daniel R. Hughes, to commemorate his 80th birthday, August 7th, 2007.

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Hering, C., Krebs, A. A partial plane of order 6 constructed from the icosahedron. Des. Codes Cryptogr. 44, 287–292 (2007). https://doi.org/10.1007/s10623-007-9098-x

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  • DOI: https://doi.org/10.1007/s10623-007-9098-x

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