# Golden Ratio Colouring Book – pleasing mathematical patterns

This golden ratio colouring book is pleasing to the eye and appealing to maths teachers. The golden ratio is a ratio of approximately 1.618, which is found in many features in nature, for example, shells, flowers, and facial features. The golden ratio is an important mathematical number and not only displays natural beauty but the amazing patterns behind the complexities of nature’s structure.

### More about the Golden Ratio

Directly related to the Fibonacci series, quotients 1/2, 3/2, 5/3, 8/5, 13/8, 21/13….. converge progressively into PHI: 1.618. Also known as the Golden Ratio, PHI is used as the backbone of this hand-drawn artwork series where I try to show some of the harmony and perfection of this number, while understanding, of course, natural human limitations.

If you want to learn more about mathematical numbers like the golden ratio, see the story Facinating Fibonacci

This book was created by Rafael Araujo, a Venezuelan artist and musician, See more of Rafael Araujo’s work, including colour prints of the images in this book at  https://www.rafael-araujo.com/.    ### See more Maths Below Utah Middle School Math Project: 6th – 8th Grade Open Educational Resources - These middle school maths textbooks provided by Utah Middle School Math Project are separated into chapter groups for each year. Each subject (chapter) consists of: Mathematical Foundations which explains the mathematical content of each chapter, a Student Workbook with an overview of the chapter, daily class activities and matching homework sets, practice standards, and student self-assessments, and a ... Secondary Mathematics III – Utah Education Network Open Educational Resources - Secondary Mathematics 3 – is separated into 9 modules, Functions and their Inverses, Logarithmic Functions, Polynomial Functions, Rational Expressions and Functions, Modeling with Geometry, Modeling Periodic Behavior, Trigonometric Functions, Statistics and more. Each of the 9 modules is available at ordinary and honours levels and each has a student and teacher version. Secondary Mathematics Three: ... 7th Grade Math Student Materials – Utah Middle School Math Project - These 7th Grade Math textbooks are separated into sets of ebooks in 8 subject areas. Each set consists of: Mathematical Foundations which explains the mathematical content of each chapter, a Student Workbook with an overview of the chapter, daily class activities and matching homework sets, practice standards, and student self-assessments, and a Parent Manual (teacher guide) which mimics ... Secondary Mathematics II – Utah Education Network Open Educational Resources - Secondary Mathematics 2 – is separated into 9 modules, Quadratic Functions, Structure of Expressions, Quadratic Equations, More Functions and More Features, Geometric Figures, Similarity and Right Triangle Trigonometry, Circles from a Geometric Perspective, Circles and Other Conics, and Probability. Each has a separate student textbook and teacher notes at ordinary and honors level. The vision ...