mandelbrot.jl

using CairoMakie
using Makie.GeometryBasics

function mandelbrot(x, y)
    z = c = x + y*im
    for i in 1:50.0; abs(z) > 2 && return log(50 - i); z = z^2 + c; end; 0.0
end

# r = Rect(-0.74250066, 0.39089617, 0.43069285, 0.34233275)
r = HyperRectangle{2, Float32}(Float32[-0.62557947, 0.6001665], Float32[0.056850735, 0.041836016])

x = first.(extrema(r))
y = last.(extrema(r))

f, ax, s = heatmap(range(x..., length = 600), range(y..., length = 600), mandelbrot,
    colormap = :Blues, shading = false, axis = (type = Axis, xautolimitmargin = (0, 0), yautolimitmargin = (0, 0)))