Let g(n) be minimal such that any set of n points in R^2 contains the vertices of at most g(n) many triangles with the same area. Estimate g(n).

Erdős Problem #1086 — Let $g(n)$ be minimal such that any set of $n$ points in $\mathbb{R}^2$ contains the vertices of at most $g(n)$ many triangles with the same area.

About 59 years old · traced to 1967

Let $g(n)$ be minimal such that any set of $n$ points in $\mathbb{R}^2$ contains the vertices of at most $g(n)$ many triangles with the same area. Estimate $g(n)$ .

References

Primary source

ULAM AI, UnsolvedMath dataset, Erdős Problems set, revision b9437975f3c873f635a13c48f8b022f5ba80898a; CC BY 4.0.

Additional references

UnsolvedMath, Erdős Problems set, ULAM AI, licensed CC BY 4.0.

distances geometry

InErdős Problems

Posted 1 month ago · edited 3 weeks ago

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