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What is Expected Value of Circles in Triangles about?

The document describes a problem proposed by Richard Rusczyk involving tiling an equilateral triangle with smaller equilateral triangles and randomly drawing arcs between vertices and midpoints of sides. The solution provided by Derrick Sund shows that the expected number of full circles formed is (n-1)(n-2)/1458, where n is the number of smaller triangles along each side of the original triangle. This is calculated by finding the probability a single vertex forms a circle, multiplying by the number of vert

Author

Arsy

Language

EN