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“Much of our intellectual development is the story of how we learn to sort impressions: self or environment, rocks, trees, clouds, books, cats. It is a story of how we learn to judge and recognize colors, numbers, shapes, and abstract concepts. When we learn a new category, our internal model of the world rotates - often slightly, occasionally more.... Some shifts are emotional: holding a newborn in your hands and understanding just what a rich and varied life will come to this tiny seed of an individual, looking into the eyes of an animal and recognizing a kinship despite having traveled very different evolutionary paths. Some shifts are abstract: learning the crystalline pure beauty of a geometric proof's logic. Fractal geometry also represents a shift, both emotional and abstract...” — Amelia Urry