Right now I have these defined:
\coordinate (Z1) at (0.9,0.5); \coordinate (Z2) at (0.816,-0.112); \coordinate (Z3) at (0.46848,-0.46336);
But I would really like to automate this to be:
so that I can just specify Z1 and then vary the α factor easily to get Z2 and Z3. (Right now α = 0.8)
What's the simplest way to do this? I know how to do some coordinate calculations but this is beyond my skillset right now.
edit: FWIW(For what it's worth) this can also be expressed as a coordinate transformation H = [1 alpha; -alpha 1]/(1+alpha^2) so maybe that's something worth using. I don't know how to force tikz to compute transformed coordinates.