Created
April 26, 2018 19:47
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| //Basic plane equation | |
| P . n + d = 0 | |
| //Therefore, 3 plane equations | |
| X * n1x + Y * n1y + Z * n1z + d1 = 0 | |
| X * n2x + Y * n2y + Z * n2z + d2 = 0 | |
| X * n3x + Y * n3y + Z * n3z + d3 = 0 | |
| //Isolate X in 1st eq | |
| Y * n1y + Z * n1z + d1 = -X * n1x | |
| (Y * n1y + Z * n1z + d1) / n1x = -X | |
| X = -(Y * n1y + Z * n1z + d1) / n1x | |
| //Replace X with isolate above, on 2nd eq | |
| (-(Y * n1y + Z * n1z + d1) / n1x) * n2x + Y * n2y + Z * n2z + d2 = 0 | |
| (-(Y * n1y * n2x) / n1x) + (-(Z * n1z + d1) / n1x) * n2x + Y * n2y + Z * n2z + d2 = 0 | |
| Y * ((-(1 * n1y * n2x) / n1x) + n2y) + (-(Z * n1z + d1) / n1x) * n2x + Z * n2z + d2 = 0 | |
| -Y * ((-(1 * n1y * n2x) / n1x) + n2y) = (-(Z * n1z + d1) / n1x) * n2x + Z * n2z + d2 | |
| Y = ((-(Z * n1z + d1) / n1x) * n2x + Z * n2z + d2) / -((-(1 * n1y * n2x) / n1x) + n2y) | |
| //Too big, give up |
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