On the moduli space of equilateral plane pentagons

Stephan Klaus*, Sadayoshi Kojima

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We give two new proofs of the well-known result that the moduli space M5 of equilateral plane pentagons is a closed surface of genus four. Moreover, we construct a new algebraic description of this space, also in the non-equilateral case, as a real affine algebraic surface F defined by a polynomial p(x, y, z) of degree 12. This allows a visualization using the Surfer software.

Original languageEnglish
Pages (from-to)487-497
Number of pages11
JournalBeitrage zur Algebra und Geometrie
Issue number3
Publication statusPublished - 2019 Sept 1


  • Closed surface
  • Compactification
  • Moduli space
  • Pentagon
  • Rational parametrization

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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