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Question by Rayan30558 · Jul 23, 2021 at 04:21 PM · unity 2d

How to flip an 2D objet around an axis in unity

I want to axially flip the blue square around the white axis by pressing a key like in the pictures please help

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Answer by tyruji · Jul 23, 2021 at 05:42 PM

In general, to rotate a vector 'u' by 'a' degrees you'd use this formula to get the rotated vector 'f':

f = [ u_x * cos(a) - u_y * sin(a), u_x * sin(a) + u_y * cos(a) ], if you just want to rotate by 180 degrees, you could precalculate the sines and cosines ( cos(180) = -1, sin(180) = 0 ) and the equation then becomes:

f = [ -u_x, -u_y ] = -u, which is very intuitive, take a look at this picture: alt text

makes sense, right?

so to rotate around a pivot 'p', you'd first need to get the relative coordinates 'r' by subtracting the pivot vector from 'u', like so: r = u - p, and then the applied rotation is: -r, so we get: -( u-p ) = p - u, but we also have to add the pivot back, so the final rotated vector 'f' is described as: f = 2p-u. And that's it, hope I explained it well, good luck!


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