An order-5 approximation to the space-filling Hilbert curve.
import Diagrams.Backend.SVG.CmdLine{-# LANGUAGE NoMonomorphismRestriction #-}
import Diagrams.Prelude
hilbert 0 = mempty
hilbert n = hilbert' (n-1) # reflectY <> vrule 1
<> hilbert (n-1) <> hrule 1
<> hilbert (n-1) <> vrule (-1)
<> hilbert' (n-1) # reflectX
where
hilbert' m = hilbert m # rotateBy (1/4)
example = frame 1 . lw medium . lc darkred
. strokeT $ hilbert 5main = mainWith (example :: Diagram B)