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Reflecting a triangle in the plane |
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| Authors: | Imre Bárány Peter Frankl Hiroshi Maehara |
| Institution: | 1. The Mathematical Institute of the Hungarian Academy of Sciences, Yale University, New York University, New York 2. CNRS, Paris, France 3. Department of Mathematics, Faculty of Education, Ryukyu University, Nishihara-cho, 903-01, Okinawa, Japan |
| Abstract: | We prove that if the three angles of a triangleT in the plane are different from (60°, 60°, 60°), (30°, 30°, 120°), (45°,45°,90°),(30°,60°,90°), then the set of vertices of those triangles which are obtained fromT by repeating ‘edge-reflection’ is everywhere dense in the plane. |
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