Could Leonardo da Vinci make a sketch of his famous Gioconda painting with just one pencil stroke? Or, if all he had was just a very long piece of rope could he arrange it so that the famous face would be recreated?

I wrote a program that actually creates a picture as if it was drawn by a single line. Look at the images here, medium res and high res. Note that the line is unbroken and does not cross over itself.

Mona Lisa - A Single Line

Mona Lisa - A Single Line

 

I owe my inspiration to fractalcurves.com where many kinds of space filling curves are described. Mine is a new variant of Peano sweep.

Mona Lisa - High Res

Mona Lisa - High Res

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