## Phi-based geometric shapes produce interesting mandala designs.

A mandala is a geometric design, often symbolic of the universe and used in Eastern religions as an aid to meditation.

Phi-based geometric shapes can be used to create some interesting phi mandalas, embodying the phi proportion found throughout creation and iterating into the infinitely large and the infinitely small, much as the universe itself.

Phi Corbett contributed the mandala design below (inspired by Bruce Rawles’ Sacred Geometry Page) which uses the pentagram, also based on phi, to collapse into an infinite series of smaller pentagrams. (Download PDF version)

paul says

The Durga Yantra is a well known yantra, and expresses phi using triangles. (see http://bridgetlyonsyoga.files.wordpress.com/2011/09/durga_yantrasm.jpg or just image search durga yantra) The three smallest triangles, usually yellow, are “1” to the “phi” of the next size up (there are six of these, usually a pinkish color). These six are “1” to the “phi” of the next size up, the central triangle. This central triangle is “1” to the “phi” of the next size up, the three triangles that intersect to form the central triangle. (The largest triangle is 2x the size of the central triangle, so not exactly “phi” to anything there. If the circle’s radius is 1, each side of the central triangle is √3/2, I’m sure you can phi-gure the rest out yourself.) Phi-tastic!

Aretta says

Many crop circles remind me of Phi

Kimberly Ingersoll says

Thanks for the pdf download of pentagram star. Planning on teaching, so this will be very useful material. Special thanks to Bruce Rawles for his generosity. All the Best!