Mandelbrot set: Difference between revisions
Content deleted Content added
→Normal Maps, Mercator Maps and Deep Zoom Images: Stripes are now independent of height. |
→Normal Maps, Mercator Maps and Perturbation Theory: Stripes are now independent of height. |
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| Line 6,571: | Line 6,571: | ||
n, r = 200, 500 # number of iterations and escape radius (r > 2) |
n, r = 200, 500 # number of iterations and escape radius (r > 2) |
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direction, height = 45, 1.5 # direction and height of the incoming light |
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v = exp(direction / 180 * pi * im) # unit 2D vector in this direction |
v = exp(direction / 180 * pi * im) # unit 2D vector in this direction |
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| Line 6,598: | Line 6,598: | ||
U = Z[N] ./ dZ[N] |
U = Z[N] ./ dZ[N] |
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U = U ./ abs.(U) # unit normal vector to the equipotential lines |
U = U ./ abs.(U) # unit normal vector to the equipotential lines |
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S = sin.(100 .* angle.(U)) ./ 10 # perturbation function (stripes) |
S = 1 .+ sin.(100 .* angle.(U)) ./ 10 # perturbation function (stripes) |
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T[N] = max.((real.(U) .* real(v) .+ imag.(U) .* imag(v) .+ |
T[N] = max.((real.(U) .* real(v) .+ imag.(U) .* imag(v) .+ S .* height) ./ (1 + height), 0) |
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heatmap(T .^ 1.0, c=:bone_1) |
heatmap(T .^ 1.0, c=:bone_1) |
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| Line 6,608: | Line 6,608: | ||
U = calculation(log.(abs.(Z[N])), Z[N], dZ[N], ddZ[N]) |
U = calculation(log.(abs.(Z[N])), Z[N], dZ[N], ddZ[N]) |
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U = U ./ abs.(U) # unit normal vector to the equidistant lines |
U = U ./ abs.(U) # unit normal vector to the equidistant lines |
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T[N] = max.((real.(U) .* real(v) .+ imag.(U) .* imag(v) .+ height) ./ (1 + height), 0) |
T[N] = max.((real.(U) .* real(v) .+ imag.(U) .* imag(v) .+ 1 .* height) ./ (1 + height), 0) |
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heatmap(T .^ 1.0, c=:afmhot) |
heatmap(T .^ 1.0, c=:afmhot) |
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