Mandelbrot Mugs

Description: Mandelbrot Set, Fibonacci Sequence, Watercolor Painting, watercolor art, numbers, sequence, Mandelbrot set, mathematics, mathematician gift, science art, complex numbers

Description: Created with Ultra Fractal 5.0 2015-08-09-006 { fractal: title="2015-08-09-006" width=640 height=480 layers=1 credits="Rupert Russell;8/9/2015" layer: caption="Background" opacity=100 method=linear mapping: center=-0.4363672225/-0.032258191 magn=0.92369645 formula: maxiter=25000 filename="Standard.ufm" entry="Mandelbrot" p_start=0/0 p_power=2/0 p_bailout=128 inside: transfer=none outside: density=0.1 transfer=arctan repeat=no filename="Standard.ucl" entry="DistanceEstimator" p_power=2.0 gradient: smooth=yes rotation=-78 index=15 color=65535 index=30 color=220 index=53 color=0 index=-347 color=65535 index=66 color=0 index=75 color=255 index=84 color=0 index=92 color=0 index=394 color=0 opaci...

Description: Created with Ultrafractal 5.04 Buddha { fractal: title="Buddha" width=640 height=480 layers=1 credits="Rupert Russell;1/21/2016" layer: caption="Background" opacity=100 mapping: center=-0.5/0 magn=1 formula: maxiter=25000 filename="Standard.ufm" entry="Mandelbrot" p_start=0/0 p_power=2/0 p_bailout=128 inside: transfer=none outside: transfer=linear filename="Standard.ucl" entry="Smooth" p_power=2/0 p_bailout=128.0 gradient: smooth=yes rotation=-200 index=171 color=16777215 index=175 color=0 index=-215 color=65535 index=-108 color=0 index=-1 color=16777215 opacity: smooth=no index=0 opacity=255 }

Description: Mandelbrot - Red outline

Description: Mandelbrot Set, Fibonacci Sequence, Watercolor Painting, watercolor art, numbers, sequence, Mandelbrot set, mathematics, mathematician gift, science art, complex numbers

Description: 2018-12-29-001 { fractal: title="2018-12-29-001" width=640 height=480 layers=1 credits="rurussell;12/29/2018" layer: caption="Background" opacity=100 mapping: center=-0.25/0 magn=1 formula: maxiter=250 filename="Standard.ufm" entry="Mandelbrot" p_start=0/0 p_power=2/0 p_bailout=128 inside: transfer=none outside: density=90 transfer=linear filename="mt.ucl" entry="mt-cont-pot" p_r=0.0 gradient: smooth=yes rotation=-186 index=-374 color=16777215 index=51 color=0 index=156 color=512 index=-114 color=0 index=-20 color=0 opacity: smooth=no index=0 opacity=255 }

Description: Fractal1 { fractal: title="Fractal1" width=640 height=480 layers=1 credits="rurussell;11/27/2017" layer: caption="Background" opacity=100 mapping: center=-0.5/0 magn=1 formula: maxiter=250 filename="Standard.ufm" entry="Mandelbrot" p_start=0/0 p_power=2/0 p_bailout=128 inside: transfer=none outside: transfer=linear filename="Standard.ucl" entry="Smooth" p_power=2/0 p_bailout=128.0 gradient: smooth=yes rotation=1 index=0 color=16777215 index=141 color=16777215 index=271 color=0 index=293 color=0 index=399 color=512 opacity: smooth=no index=0 opacity=255 }

Description: That bug is in the Mandelbrot set. It’s one fabulous fractal.

Description: 2015-12-01-001 { fractal: title="2015-12-01-001" width=640 height=480 layers=1 credits="Rupert Russell;12/1/2015" layer: caption="Background" opacity=100 method=multipass mapping: center=-0.5/0 magn=1 formula: maxiter=10000 percheck=off filename="Standard.ufm" entry="Mandelbrot" p_start=0/0 p_power=2/0 p_bailout=128 inside: transfer=none outside: transfer=cuberoot repeat=no filename="Standard.ucl" entry="DistanceEstimator" p_power=2.0 gradient: smooth=yes rotation=-109 index=116 color=0 index=145 color=0 index=160 color=512 index=-103 color=1792 index=-1 color=16777215 opacity: smooth=no index=0 opacity=255 }

Description: Created with Ultrafractal

Description: Mandelbrot created using Fractint

Description: Red Black Mandelbrot

Description: Simple black linear Mandelbrot created with Fractint

Description: More digital art!

Description: A reproduction of the original Mandelbrot set reproduced using processing code on github at: https://github.com/rupertrussell/original_mandelbrot

Description: An image of the Mandelbrot Set and its equation. This two-dimensional set exhibits great complexity as it is magnified. They say that the range of scale between the whole Mandelbrot Set and the farthest zoomed-in detail is a trillion times bigger than the whole scale of our universe!

Description: Created with Ultra Fractal 5 2015-08-03-002 { fractal: title="2015-08-03-002" width=640 height=480 layers=1 credits="Rupert Russell;8/3/2015" layer: caption="Background" opacity=100 mapping: center=-0.5/0.0 magn=1 formula: maxiter=10000 filename="Standard.ufm" entry="SlopeMandel" p_start=0/0 p_power=2/0 p_bailout=1.0E20 p_offset=0.00000001 p_zmode=potential p_xfer=linear p_zscale=1.0 p_zscale2=0.005 p_everyiter=no inside: transfer=none outside: density=0.1 transfer=linear filename="dmj.ucl" entry="dmj-Lyapunov" p_trackvariable="magnitude of z" p_negative="absolute value" p_power=2.0 p_bailout=1E20 p_smooth=no gradient: smooth=yes index=0 color=8716288 index=100 color=16121855 index=200 ...

Description: Set of complex numbers.

Description: Design created from a mandelbrot fractal representing a mathematical formula in shades of blue. Attractive design of fractal art and geometry.

Description: Created with Ultra Fractal 5

Description: Celebrate your math geekiness, or that of someone else, with this fractal design of the Mandelbrot set. See my other fractals.

Description: Mandelbrot abstract geometric fractal design.

Description: Mandelbrot Fractal swirl radiating from a central point in red and white tones.

Description: Created with Ultrafractal

Description: Fractal art.

Description: Mandelbrot in blue swirling crystals. Experiment with this design on different colors.

Description: Beautiful pink symmetrical design made from a mandelbrot fractal image

Description: A monochrome rendering of the Mandelbrot fractal set. The complex, branching structures are shown in white against a stark black background, resembling intricate natural growth or cosmic phenomena. The central area features distinct circular shapes with detailed filigree extending outwards.

Description: A reproduction of the original Mandelbrot set reproduced using processing code on github at: https://github.com/rupertrussell/original_mandelbrot A black on white version is also available "Original Mandelbrot (Replica)"

Description: Fractal art.

Description: a fractal tree created from a fractal landscape using a mandelbrot set! I just thought it was a pretty tree! you'll find a few more in my store too.

Description: The Mandelbrot is formed by using mathematics and computer code to generate a one-of-a-kind design.

Description: A close-up view of the Mandelbrot set, rendered in shades of black and fiery orange and red. The complex fractal patterns resemble intricate floral or star-like shapes, with repeating spiral motifs. Text in the upper left corner reads 'THE MANDELBROT SET Zn+1 = Zn + c'.

Description: Mandelbrot layered pattern in black blue purple

Description: A black background features a detailed fractal pattern in vibrant shades of orange and red, resembling intricate, branching structures. The text 'The Mandelbrot Set' is positioned at the top left in yellow, with the mathematical equation 'Zn+1 = Zn + c' directly below it in a lighter yellow.

Description: A visual representation of the Mandelbrot Set, featuring intricate fractal patterns in shades of orange and black. The text "The Mandelbrot Set" is displayed at the top, followed by the mathematical formula "Z_{n+1} = Z_n^2 + c" in white.