  We prove geometric and scaling results for the real Fibonacci parameter value
in the quadratic family $f_c(z) = z^2+c$. The principal nest of the Yoccoz
parapuzzle pieces has rescaled asymptotic geometry equal to the filled-in Julia
set of $z^2-1$. The modulus of two such successive parapuzzle pieces increases
at a linear rate. Finally, we prove a ``hairiness" theorem for the Mandelbrot
set at the Fibonacci point when rescaling at this rate.
