= Twistor incidence relation
{title2=$\omega^A=ix^{AA'}\pi_{A'}$}
For a fixed affine spacetime point $x$, this linear relation cuts out a two-dimensional subspace $W_x=\{(ix\pi,\pi)\}$ of <twistor space>. Projectivizing gives its <twistor line>. For a fixed projective twistor with $\pi\ne0$, its solutions are $x=x_0+u^A\pi^{A'}$, a totally null affine <alpha-plane>. The compact description replaces affine solutions by the two-planes containing the fixed twistor line in the vector space.
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