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The Four-Color Theorem and the Geometry of Nature
Abstract
The four-color theorem stands at the intersection of Science and Art. The mathematical reasoning used to solve the theorem lead to many practical applications in mathematics, graph theory, and computer science. One aspect of the four-color theorem, which was seldom covered and relevant to the field of visual communication, is the actual effectiveness of the distinct 4 colors scheme chosen to define its mapping. This chapter briefly reviews the historical and scientific background of the theorem, puts in perspective contemporary scientific and technical data pertaining to the perception of color, and studies the theorem in a particular color scheme on a fluorite crystal, which was chosen because of its colorless appearance and the mathematically symmetrical nature of its structure.
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