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Knowledge baseOctober 25, 2026

Sphere Intersection Puzzle Corrected

It's time for a new puzzle of the month. Suppose you have two spheres, each of radius 1, positioned randomly in space, but you know that they intersect. What is the expected volume of that intersection? Or phrased another way, you could say one sphere is centered at the origin,…

3Blue1Brown·YouTube — Andrej Karpathy
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Key Takeaways
  • 01.It's time for a new puzzle of the month
  • 02.Suppose you have two spheres, each of radius 1, positioned randomly in space, but you know that they intersect
  • 03.What is the expected volume of that intersection

This material is provided as an extended analytical summary.

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