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Mathematics and Art: Making Beautiful Music Together

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Mathematics and Art: Making Beautiful Music Together

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    1. Mathematics and Art: Making Beautiful Music Together D.N. Seppala-Holtzman St. Joseph’s College faculty.sjcny.edu/~holtzman

    2. Math & Art: the Connection Many people think that mathematics and art are poles apart, the first cold and precise, the second emotional and imprecisely defined. In fact, the two come together more as a collaboration than as a collision.

    3. Math & Art: Common Themes Proportions Patterns Perspective Projections Impossible Objects Infinity and Limits

    4. The Divine Proportion The Divine Proportion, better known as the Golden Ratio, is usually denoted by the Greek letter Phi: F. F is defined to be the ratio obtained by dividing a line segment into two unequal pieces such that the entire segment is to the longer piece as the longer piece is to the shorter.

    5. A Line Segment in Golden Ratio

    6. F: The Quadratic Equation The definition of F leads to the following equation, if the line is divided into segments of lengths a and b:

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