I'm fascinated with fractal mathematics

>The Mandelbrot set (/ˈmændəlbroʊt, -brɒt/)[1][2] is a two-dimensional set that is defined in the complex plane as the complex numbers c {\displaystyle c} for which the function f c ( z ) = z 2 + c {\displaystyle f_{c}(z)=z^{2}+c} does not diverge to infinity when iterated starting at z = 0 {\displaystyle z=0}, i.e., for which the sequence f c ( 0 ) {\displaystyle f_{c}(0)}, f c ( f c ( 0 ) ) {\displaystyle f_{c}(f_{c}(0))}, etc., remains bounded in absolute value.[3]

sources:

man fraqtive(1)

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #advanced #programming #Lineair #Algebra #complex #numbers #matrix #technology #mandelbrot #fractals #OpenSource

mandelbrot 14:13

syntax

• fraqtive
• type mandelbrot
• parameters normal
• generation 2D

definitions:

The Mandelbrot set (/ˈmændəlbroʊt, -brɒt/)[1][2] is a two-dimensional set that is defined in the complex plane as the complex numbers c {\displaystyle c} for which the function f c ( z ) = z 2 + c {\displaystyle f_{c}(z)=z{2}+c} does not diverge to infinity when iterated starting at z = 0 {\displaystyle z=0}, i.e., for which the sequence f c ( 0 ) {\displaystyle f_{c}(0)}, f c ( f c ( 0 ) ) {\displaystyle f_{c}(f_{c}(0))}, etc., remains bounded in absolute value.[3]

sources:

man fraqtive(1)

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #advanced #programming #Lineair #Algebra #complex #numbers #matrix #technology #mandelbrot #fractals #OpenSource

mandelbrot 14:11

syntax

• fraqtive
• type julia
• parameters normal
• generation 2D

definitions:

The Mandelbrot set (/ˈmændəlbroʊt, -brɒt/)[1][2] is a two-dimensional set that is defined in the complex plane as the complex numbers c {\displaystyle c} for which the function f c ( z ) = z 2 + c {\displaystyle f_{c}(z)=z{2}+c} does not diverge to infinity when iterated starting at z = 0 {\displaystyle z=0}, i.e., for which the sequence f c ( 0 ) {\displaystyle f_{c}(0)}, f c ( f c ( 0 ) ) {\displaystyle f_{c}(f_{c}(0))}, etc., remains bounded in absolute value.[3]

sources:

man fraqtive(1)

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #programming #advanced #Lineair #Algebra #complex #numbers #matrix #technology #mandelbrot #fractals #OpenSource

mandelbrot 14:05

syntax

• fraqtive
• type mandelbrot
• parameters normal
• generation 2D

definitions:

The Mandelbrot set (/ˈmændəlbroʊt, -brɒt/)[1][2] is a two-dimensional set that is defined in the complex plane as the complex numbers c {\displaystyle c} for which the function f c ( z ) = z 2 + c {\displaystyle f_{c}(z)=z{2}+c} does not diverge to infinity when iterated starting at z = 0 {\displaystyle z=0}, i.e., for which the sequence f c ( 0 ) {\displaystyle f_{c}(0)}, f c ( f c ( 0 ) ) {\displaystyle f_{c}(f_{c}(0))}, etc., remains bounded in absolute value.[3]

sources:

man fraqtive(1)

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #programming #advanced #mathematics #Lineair #Algebra #complex #numbers #matrix #technology #mandelbrot #fractals #OpenSource

Polar Fractal

Made by mapping an image to polar coordinates several times, meaning this image is the composition of about 20 or so rectangular-to-polar coordinate mappings. It has resulted in a very complex design.

#Fractal #Fractals #FractalArt #Geometry #Geometric #GeometricArt #GIMP #Math #Maths #Mathematics #Mathematical #MathArt #MathsArt #MathematicalArt #Abstract #AbstractArt #Colorful #Colourful #Experimental #AvantGarde #Digital #DigitalArt #Art #Artwork #MastoArt #ArtistOnMastodon