Jeffrey Ventrella

The golden mean can be found in the length-ratios of the pentagram. It can also be found in ratios of vertex distances in the regular dodecahedron. Each of the 12 pentagonal faces of the dodecahedron can have a pentagram inscribed. From any of these 12 "mother" pentagrams, up to 5 "child" pentagrams (scaled by the golden mean) are derived. A child pentagram can in turn give birth to more pentagrams. Given sets of rules that determine the way a child pentagram is born, many fractal patterns can emerge. This video is a screen recording of a real-time animation running in a browser. It was written in Javascript. This is the latest from a series of Earth Day animations (at http://ventrella.com/EarthDay/ ). Earth Day animations explore spherical geometry. They use earthy colors, and express the ideas of growth and evolution. The music was composed by Robby Elfman to accompany Ventrella's algorithmic animations.