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MathNet 2018-part-07 — 177 problems (EN–VI) Question 77

Math Olympiad Vault · MathNet 2018-part-07 — 177 problems (EN–VI)

Question 77

Call a triangle nice if the plane can be tiled using congruent copies of this triangle so that any two triangles that share an edge (or part of an edge) are reflections of each other via the shared edge. How many dissimilar nice triangles are there?

Proposed by: Yuan Yao