This book explores the mathematical patterns and consistencies present in various spirals, helices, and spiral-like shapes. The geometric properties and relationships are presented in a visually appealing way, supplemented by analytical elements and illustrations wherever feasible. By examining examples from both technology and nature, readers will investigate round, square, golden, and spherical spirals, analyzing their curvature behaviors and other fascinating characteristics. The examples are thematically organized, and the book’s modular structure allows readers to engage with individual chapters largely independently. Consequently, it serves as a valuable resource for students, learners, aspiring teachers, those interested in mathematics, and anyone looking to pursue a career in this field.

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The translation was made possible with the assistance of artificial intelligence, followed by a human revision that focused primarily on ensuring content accuracy.