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This post elaborates on a specific instance of Cutting convex polygons into triangles of same diameter .

Question: For any integer n, can any triangle be cut into n non-degenerate triangles all of same diameter (longest side)? If so, can an algorithm be given?

Note: Some further thoughts are recorded at http://nandacumar.blogspot.com/2023/03/some-questions-on-partitioning-into.html .

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    $\begingroup$ Isn't the diameter of a tirangle just the largest edge? $\endgroup$
    – Nick S
    Commented Mar 3, 2023 at 6:27
  • $\begingroup$ yes. made an edit. Thanks $\endgroup$
    – Nandakumar R
    Commented Mar 3, 2023 at 7:16

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