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# Modified from @frank's code at Discord | |
function koch_curve!(X, Y, x1, y1, x2, y2, level) | |
if level == 0 | |
push!(X, x1) | |
push!(X, x2) | |
push!(Y, y1) | |
push!(Y, y2) | |
else | |
Δx = x2 - x1 | |
Δy = y2 - y1 | |
x3 = x1 + Δx / 3 | |
y3 = y1 + Δy / 3 | |
x5 = y1 + 2Δx / 3 | |
y5 = y1 + 2Δy / 3 | |
x4 = ((x1 + x2) / 2) - ((Δy / 2) * sqrt(3)) | |
y4 = ((y1 + y2) / 2) + ((Δx / 2) * sqrt(3)) | |
koch_curve!(X, Y, x1, y1, x3, y3, (level - 1)) | |
koch_curve!(X, Y, x3, y3, x4, y4, (level - 1)) | |
koch_curve!(X, Y, x4, y4, x5, y5, (level - 1)) | |
koch_curve!(X, Y, x5, y5, x2, y2, (level - 1)) | |
end | |
end | |
X = [] | |
Y = [] | |
koch_curve!(X, Y, 1.0, 2.0, 0.0, 1.0, 2) | |
#= | |
julia> [X Y] | |
32×2 Matrix{Float64}: | |
1.0 2.0 | |
0.888889 1.88889 | |
0.888889 1.88889 | |
1.12201 1.54466 | |
1.12201 1.54466 | |
1.77778 1.77778 | |
1.77778 1.77778 | |
0.666667 1.66667 | |
0.666667 1.66667 | |
⋮ | |
1.33333 1.33333 | |
1.33333 1.33333 | |
0.888889 1.22222 | |
0.888889 1.22222 | |
0.955342 0.0119661 | |
0.955342 0.0119661 | |
0.444444 1.11111 | |
0.444444 1.11111 | |
0.0 1.0 | |
=# |
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