olymmath

AIME 1994 Problem 6

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The graphs of the equations are drawn in the coordinate plane for k=−10,−9,−8,…,9,10. k=-10,-9,-8,\ldots,9,10.\, These 63 lines cut part of the plane into equilateral triangles of side length 23. \tfrac{2}{\sqrt{3}}.\, How many such triangles are formed?

Dataset text AIME 1983 to 2026. Quoted with source.

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660

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