pThis is a book about discovery-the discoveries each of us can make when finding beauty in geometric patterns, beauty in mathematics, and beauty in computer programming. This is also a guide for teaching children to program computers in uniquely powerful ways.ppbrppIt is easy to see how one might find beauty in geometric patterns this beauty forms the foundation of nature and art. We are continually entranced by geometric form-the symmetry of a butterfly's wings, the spiral of a snail's shell, the facets of a crystal-and each of these natural occurrences is perceived as having beauty associated with it. The hands of people have produced geometric art since marks were first made on cave walls or stones were first fashioned into tools. From the Pyramids and the Parthenon to the finest gold-link chain, the beauty of geometric form is clearly present for all who care to find it.ppbrppUnderlying the geometric pattern that we experience with our eyes lies a more subtle pattern of mathematica