Mathematics and Art

In this course, students explore the potential of mathematics to generate visually appealing objects to reveal the beauty of mathematics. Focusing on accessible, visually interesting, and mathematically relevant topics, the course unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to the mathematical maturity level, each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings and fractals to hyperbolic geometry, platonic solids and topology. The course may cover different aspects of math, such as from Euclidean geometry, the golden section, Fibonacci numbers, symmetries, tilings, similarities, fractals, cellular automata, inversion, hyperbolic geometry, Platonic and Archimedean solids, perspective drawing, or topology. Some simple proofs and exercise problems may also be covered. For students interested in art, the course stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For students interested in science, the course presents various elegant mathematical theories and notions. Algebra II is a prerequisite for this course. (Semester, .5 credit)