Mandelbrot Set
Benoît Mandelbrot; earlier work by Robert Brooks and Peter Matelski
A simple iteration creates a boundary with extraordinary detail.
Fractals & infinity / Classical geometry / modern fractal study
Apollonian Gasket
Tangent circles fill gaps with smaller and smaller circles.
TRY THIS
Choose a gap and follow the chain of progressively smaller tangent circles within it.
THE IMAGE IN THIS ARCHIVE
Time3000
Original file & attribution · CC BY-SA 4.0
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Download imageFrequently asked questions
What is Apollonian Gasket?
Tangent circles fill gaps with smaller and smaller circles.
What should I look for in Apollonian Gasket?
Choose a gap and follow the chain of progressively smaller tangent circles within it.
What explains Apollonian Gasket?
Begin with mutually tangent circles and insert a new circle tangent to the surrounding circles in each gap. Repeat recursively. The finite picture approximates an infinite arrangement.
Another way to see it
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Julia Set
Gaston Julia and Pierre Fatou
Repeated complex mappings produce intricate connected shapes or dust-like sets.
