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A comment on Show HN: Metaballs. Parent comment

Re:Show HN: Metaballs by XaspR8d on Tuesday October 17, 2017 @05:48PM (#15495269)
Keeping 100% accurate constant area would require a pretty insane closed form equation. Even ignoring the amount of area added by the stretched portions.
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Re:Show HN: Metaballs by jakobegger on Wednesday October 18, 2017 @04:14AM (#15497626)
Yes, in this case a numeric approach would probably be the way to go:

- Assume that R1, R2 are the radii of the discs and A_ORIG is the original area (eg. R1^2 PI)

- Calculate the area A for a given R1, R2

- Multiply R1 and R2 with SQRT(A_ORIG / A)

- Repeat

If this doesn't converge after a few iterations, you can use the Newton method, or even a simple binary search to find he correct radii very quickly. A(k R1, k R2) should be monotonic for k, so solving it numerically for a given value should be trivial.

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