## 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. |

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### 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

balcony Benoit Mandelbrot Cantor Dust Chapter circle coffee Complex Numbers concepts count countably infinite create creative crumb curve decimal place digit described dimension E.E. Cummings end word example Fermat Fibonacci Numbers Fibonacci Sequence flowers fractal geometry fractal image glide reflection Golden Ratio Golden Rectangle Hilbert ideas infinite sets infinity Irrational Numbers iteration Julia Set Koch Snowflake language look love thee M. C. Escher magic square Mandelbrot Set math mathematicians mathematics and poetry metaphor meter Natural Numbers number patterns original pair paradox Pascal’s Triangle pattern poems pattern poetry patterns in mathematics Peano plane figures poem’s poet poet’s positive integers proof Real Numbers reflection repeated repetition rhyme scheme river rotation Seems lak seen in Figure self-similarity sestina shape shown in Figure sides Sierpinski Sir Patrick sonnet speaker spirals stanza stressed beats structure sunflower symmetry term tessellations theorem thinking thou tion verse visual writing zoom