Apollonian Gasket Fractal with 3 Circles

remixed by Scratch-Minion
  scripts
  sprites
See inside
Instructions

Use Turbo Mode! (Hold down <Shift> key and click Green Flag).

What is an Apollonian Gasket?
Starting with some circles drawn inside a circle (eg. 3 circles here) draw the largest possible circles in the remaining spaces, then draw the largest possible circles in the new remaining spaces, etc. etc.

More technically, draw circles that are tangential to three of the existing circles.

There are different techniques to draw Apollonian Gaskets.
- You can calculate and draw the mutually tangent circles.
- You can construct it as an IFS (Iterated function system) or IFS Fractal which is the technique used here.

Notes and Credits (added by Scratch-Minion)

Thanks to @leszpio for Apollonian Gasket Fractal.
This Gasket looks a little different with 3 large circles.

See the Apollonian Gasket Fractal studio: https://scratch.mit.edu/studios/4631658/

Apollonian Gasket on Wikipedia: https://en.wikipedia.org/wiki/Apollonian_gasket

An IFS Fractal, the Barnsley Fern, is explained here:
https://en.wikipedia.org/wiki/Barnsley_fern

I wrote a project to produce an IFS Sierpinski Triangle here: https://scratch.mit.edu/projects/129626100/

Shared: 12 Jan 2018 Modified: 12 Jan 2018
Favorite this project 6
Love this project 6
Total views 46
View the remix tree  21
  
More projects by Scratch-Minion