# Six Triangle Orbits

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Consider a triangle with sides labeled , , and a point and its trajectory as it visits each side of the triangle in some prespecified order, always taking the shortest route (by side we mean the infinite line resulting from extending the actual side of the triangle in both directions.)

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Contributed by: Jaime Rangel-Mondragon (August 2012)

Open content licensed under CC BY-NC-SA

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Reference

[1] M. Carvalho and M. Hager, "Geometric Orbits," *The Mathematical Intelligencer, *34(2), 2012 pp. 56–62. doi:10.1007/s00283-012-9287-y.

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