Fractal Mandelbrot Set - HueForge

The Mandelbrot set is a two-dimensional set with a relatively simple definition that exhibits great complexity, especially as it is magnified. It is popular for its aesthetic appeal and fractal structures. The set is defined in the complex plane as the complex numbers 𝑐 for which the function 𝑓𝑐(𝑧)=𝑧2+𝑐 does not diverge to infinity when iterated starting at 𝑧=0, i.e., for which the sequence 𝑓𝑐(0), 𝑓𝑐(𝑓𝑐(0)), etc., remains bounded in absolute value.

The first published picture of the Mandelbrot set, by Robert W. Brooks and Peter Matelski in 1978

On 1 March 1980, at IBM's Thomas J. Watson Research Center in Yorktown Heights, New York, Benoit Mandelbrot first visualized the set.

Images of the Mandelbrot set exhibit an infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications; mathematically, the boundary of the Mandelbrot set is a fractal curve.

Instruction :

Print at 100% infill with a layer height of 0.08mm with a base layer of 0.16mm

Filaments Used:
PLA BambuLab Basic Black Transmission Distance: 0.6
PLA Sunlu Silk Gold Transmission Distance: 4
PLA BambuLab Basic Blue Gray Transmission Distance: 3

PLA BambuLab Tough Lavender Blue Transmission Distance: 2
PLA BambuLab Basic Silver Transmission Distance: 0.5
PLA BambuLab Tough Cream White Transmission Distance: 10

Swap Instructions:
Start with Black
At layer #3 (0.32mm) swap to Cream White

At layer #12 (1.04mm) swap to Silver

At layer #14 (1.20mm) swap to Blue Gray

At layer #17 (1.44mm) swap to Lavender Blue

At layer #21 (1.76mm) swap to Silver

At layer #26 (2.16mm) swap to Cream White
At layer #33 (2.72mm) swap to Gold