Elementary Moduli Space of Triangles and Iterative Processes

J. Math. Sci. Univ. Tokyo
Vol. 10 (2003), No. 1, Page 209--224.

Nakamura, H. ; Oguiso, K.
Elementary Moduli Space of Triangles and Iterative Processes
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]


Abstract:
We regard the unit disk of the complex plane as the moduli space of the similarity classes of triangles. A certain plane geometric operation on triangles may then be interpreted as a rotation of the moduli disk. We examine conditions under which the operation has a finite period, and discuss examples and related topics.

Mathematics Subject Classification (2000): 51M15 (Geometric Constructions)
Mathematical Reviews Number: MR1963804

Received: 2002-03-14