$ultra fractal apollonian gasket$

$ultra fractal apollonian gasket$

#Ultra fractal apollonian gasket software

It is named after Greek mathematician Apollonius of Perga. Repeat the previous step for the inner Soddy circle paired with each of the original three. In mathematics, an Apollonian gasket or Apollonian net is a fractal generated by starting with a triple of circles, each tangent to the other two, and successively filling in more circles, each tangent to another three. This pleasant fractal is formed recursively as follows: Take three mutually tangent circles and form their inner Soddy circle. Version 4 added support for animations and improved flame fractal rendering.įormulae from Fractint, an early and widely used piece of fractal-generating software, have been converted to an UltraFractal formula file. Click and drag the red point to adjust the Apollonian Gasket.

$ultra fractal apollonian gasket$

Other features include fullscreen mode, color cycling, a render queue, distributed rendering calculations, and a detailed help file.

#Ultra fractal apollonian gasket software

The software calculates statistics about the fractal that is being previewed. The GUI is customizable with a dockable MDI. Ĭalculation using arbitrary precision arithmetic is supported, allowing users to zoom to a magnification of 10 4000. There is a busy mailing list on which many users post their parameter sets. Fractals may be copied from the interface and pasted as plain text into an email. Fractal formulas, coloring algorithms, and transformations may be written by users, and a large number of such formula files are available in a public formula database. Each circle in the Apollonian Gasket is tangent to the adjacent circles - in other words, the circles in the Apollonian Gasket make contact at infinitely small points. The program works using a similar paradigm to Photoshop, allowing multiple layers to be combined using layer blending modes, transformations, and custom fractal formulas. An Apollonian Gasket is a type of fractal image that is formed from a collection of ever-shrinking circles contained within a single large circle.

$ultra fractal apollonian gasket$