An extraordinary origami curve

@article{Herrlich2005AnEO,
  title={An extraordinary origami curve},
  author={Frank Herrlich and Gabriela Schmithuesen},
  journal={Mathematische Nachrichten},
  year={2005},
  volume={281}
}
We study the origami W defined by the quaternion group of order 8 and its Teichmüller curve C (W) in the moduli space M3. We prove that W has Veech group SL2(ℤ), determine the equation of the family over C (W) and find several further properties. As main result we obtain infinitely many origami curves in M3 that intersect C (W). We also present a combinatorial description of these origamis. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 
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