An extraordinary origami curve
An extraordinary origami curve
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非凡的折纸曲线
DOI：
10.1002/mana.200510597
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发表时间：
2005
影响因子：
1
通讯作者：
Gabriela Schmithuesen
中科院分区：
文献类型：
--
作者：
F. Herrlich;Gabriela Schmithuesen
研究了模空间M3中由8阶四元数群及其Teichmüller曲线C（W）定义的折纸W.证明了W有Veech群SL 2（W），确定了C（W）上的族方程，并得到了几个进一步的性质.作为主要结果，我们得到了M3中与C（W）相交的无穷多条折纸曲线。我们还提出了一个组合描述这些折纸。（© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA，魏因海姆）
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)