5 ms·
Keeping 100% accurate constant area would require a pretty insane closed form equation. Even ignoring the amount of area added by the stretched portions.
by XaspR8d 9y ago
Keeping 100% accurate constant area would require a pretty insane closed form equation. Even ignoring the amount of area added by the stretched portions.
- jakobegger 9y agoYes, 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.