Wie kann man fraktale Landschaften generieren?

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\documentclass[border=10pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.15}
\usepackage{luacode}
\begin{luacode*}
  function terrain(seed,dimension,options)
    -- inner functions come from the Heightmap module
    -- Module Copyright (C) 2011 Marc Lepage
    local max, random = math.max, math.random
    -- Find power of two sufficient for size
    local function pot(size)
      local pot = 2
      while true do
        if size <= pot then return pot end
        pot = 2*pot
      end
    end
    -- Create a table with 0 to n zero values
    local function tcreate(n)
      local t = {}
      for i = 0, n do t[i] = 0 end
      return t
    end
    -- Square step
    -- Sets map[x][y] from square of radius d using height function f
    local function square(map, x, y, d, f)
      local sum, num = 0, 0
      if 0 <= x-d then
        if   0 <= y-d   then sum, num = sum + map[x-d][y-d], num + 1 end
        if y+d <= map.h then sum, num = sum + map[x-d][y+d], num + 1 end
      end
      if x+d <= map.w then
        if   0 <= y-d   then sum, num = sum + map[x+d][y-d], num + 1 end
        if y+d <= map.h then sum, num = sum + map[x+d][y+d], num + 1 end
      end
      map[x][y] = f(map, x, y, d, sum/num)
 
 
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