Golden spiral

Illustration showing succession of golden rectangles that are used to construct the golden spiral. Two quantities are considered to be in the golden ratio if (a+ b)/a = a/b which is represented by the Greek letter phi. Each rectangle shown is subdivided into smaller golden rectangles. The golden spiral is a special type of logarithmic spiral. Each part is similar to smaller and larger parts.

Fibonacci Spiral - Golden Spiral Logarithmic spiral whose growth factor is φ, the golden ratio - gets wider (or further from its origin) by a factor of φ for every quarter turn it makes.

Illustration showing succession of golden rectangles that are used to construct the golden spiral. Two quantities are considered to be in the golden ratio if (a+ b)/a = a/b which is represented by the Greek letter phi. Each rectangle shown is subdivided into smaller golden rectangles. The golden spiral is a special type of logarithmic spiral. Each part is similar to smaller and larger parts.

The golden ratio is thought by many to be the perfect measure for beauty. However, this may not be the case: the variation of beauty is too large.

Colorful vector illustration of Fibonacci spiral. Golden ratio. Download a free preview or high-quality Adobe Illustrator (ai), EPS, PDF, SVG vectors and high-res JPEG and PNG images.

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When a Fibonacci spiral is layed over the cross section of a shell, you see how perfectly they mirror each other.

SQUARE ROOT SPIRAL: Spiral of Theodorus The building blocks of life are Squares. That which we call Square Roots, a frightening term, is the diagonal length of extremely opposing corners. When we begin our Journey with the Unit Square or 1x1, the main diagonal gives a value of 1.4142... aka The Square Root of 2, or Root 2, because 1.4141... multiplied by itself, gives the length of 2. As we continually apply Pythagoras' Theorem (3 squared + 4 squared = 5 squared) to determine the next…

A great way to get kids excited about math is by showing them the golden ratio. Here I focus on the golden ratio for kids in art.