Discovering Patterns in Mathematics and PoetryYou are invited to join a fascinating journey of discovery, as Marcia Birken and Anne C. Coon explore the intersecting patterns of mathematics and poetry -- bringing the two fields together in a new way. Setting the tone with humor and illustrating each chapter with countless examples, Birken and Coon begin with patterns we can see, hear, and feel and then move to more complex patterns. Number systems and nursery rhymes lead to the Golden Mean and sestinas. Simple patterns of shape introduce tessellations and concrete poetry. Fractal geometry makes fractal poetry possible. Ultimately, patterns for the mind lead to questions: How do mathematicians and poets conceive of proof, paradox, and infinity? What role does analogy play in mathematical discovery and poetic expression? The book will be of special interest to readers who enjoy looking for connections across traditional disciplinary boundaries. Discovering Patterns in Mathematics and Poetry features centuries of creative work by mathematicians, poets, and artists, including Fibonacci, Albrecht Dürer, M. C. Escher, David Hilbert, Benoit Mandelbrot, William Shakespeare, Edna St. Vincent Millay, Langston Hughes, E.E. Cummings, and many contemporary experimental poets. Original illustrations include digital photographs, mathematical and poetic models, and fractal imagery. |
Contents
9 | |
15 | |
Chapter 2 8211Counting Patterns Take Form | 45 |
Chapter 3 8211 Patterns of Shape | 87 |
Chapter 4 8211 Fractal Patterns | 131 |
Chapter 5 8211 Patterns for the Mind | 169 |
Chapter 6 8211 Conclusion | 193 |
199 | |
207 | |
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Common terms and phrases
answer appear arrangement beauty begin called century Chapter circle closely complex concepts continue count create curve described dimension discuss drawing English entire example familiar Fibonacci Numbers Figure final flowers fractal geometry Golden ideas illustrated images important infinite infinity instance integers iteration Julia Set known language length look Mandelbrot Set math mathematical mathematicians mean meter moves named Natural Natural Numbers object original pair paradox patterns plane poem poem’s poet poetic poetry positive produced proof qualities Ratio Real refer reflection repeated represented rhyme river rotation scale seen sequence sestina shape shown shows sides similar simple sonnet sound spirals square stanza statement structure syllables symmetry term thee theorem things thinking tion triangle verse visual writing written