Abstract
By studying the periodic drawings of the Dutch Artist M.C. Escher, we find that the simplest group of the seventeen wallpaper group, P1, can be `visualized' in the upper halfplane as a symmetrical tessellation with self-similar properties. Iterative mappings are constructed and an algorithm is presented to automatically generate coloured patterns with this symmetry. This method can be used to create a great variety of artistic symmetrical patterns.
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