The ‘‘mystery’’ of the quadratic Mandelbrot set
Wolfgang Metzler · American Journal of Physics · 1994
Numerical simulations suggest that the Mandelbrot set for binary numbers z=x+γy with x, y∈R and γ2=α+γβ (α,β∈R given) is a simple filled-in square in the perplex case, i.e., α=1, β=0. The paper gives a proof of this experimental result.