Abstract / Synopsis
This article provides insight into the mathematics and designs of quilts inspired by Fibonacci and logarithmic spirals. We introduce the history and development of the Fibonacci number sequence and how to hand-draw a Fibonacci spiral. Further, we explain the relationship between the Fibonacci spiral and logarithmic spirals, the advantages of using logarithmic spirals to create designs, and how to produce digital spiral designs using Desmos, a free web-based graphing calculator. Finally, we discuss methods for designing spiral quilts or other triangle and spiral designs (such as collage or other media) and derive a formula for calculating the apex angles of the triangles. We hope to inspire the reader’s imagination to spiral out of bounds to explore, create, and discover the beauty of mathematics in what you will create.
DOI
10.5642/jhummath.GDBK1644
Recommended Citation
Kathleen Offenholley, SK Collins & David Radcliffe, "Fibonacci-Inspired Spiral Quilts," Journal of Humanistic Mathematics, Volume 14 Issue 2 (July 2024), pages 531-554. DOI: 10.5642/jhummath.GDBK1644. Available at: https://scholarship.claremont.edu/jhm/vol14/iss2/17
