and its one in ten thousand that come for the show

#Thursday #Fractals #Fractal #FractalArtDaily

mandelbrot 12:38

md formatted

syntax

  • nice -1 fraqtive
  • type mandelbrot
  • parameters nvt
  • variant normal
  • exponent real=2.30
  • formula Z(n+1)=_Z(n)2.3+C
  • 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

Mandelbrot set - Wikipedia

## mandelbrot 12:38

# syntax

* `nice -1 fraqtive`
* type *mandelbrot*
* parameters *nvt*
* variant *normal*
* exponent *real=2.30*
* formula *Z(n+1)=_Z(n)^2.3+C*
* 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

mandelbrot 09:28

md formatted

syntax

  • nice -1 fraqtive
  • type mandelbrot
  • parameters nvt
  • variant absolute
  • exponent real=2.5
  • formula Z(n+1)=_Z(n)2+C
  • generation 2D
  • Resolution Width 2560 Height 1080
  • Anti Aliasing Medium
  • Multisampling 4x4

sources:

man fraqtive(1)

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

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

Mandelbrot set - Wikipedia

## mandelbrot 09:28

# syntax

* `nice -1 fraqtive`
* type *mandelbrot*
* parameters *nvt*
* variant *absolute*
* exponent *real=2.5*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*

sources:

man fraqtive(1)

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

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

I just happened across this animation I made a few years ago of the Curlicue fractal, looping through all of its basic forms in one minute. #GenerativeArt #Fractals #geometry

## mandelbrot 01:47

# syntax

* `fraqtive`
* type *mandelbrot*
* parameters *nvt*
* variant *absolute*
* exponent *integral=2*
* formula *Z(n+1)=(Re_Z)|=i|Im{Zn}|)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*

sources:

man fraqtive(1)

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

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

## mandelbrot 01:37

# syntax

* `fraqtive`
* type *julia*
* parameters *x=0.8 y=0.9*
* variant *Conjugate*
* exponent *real=2.7*
* formula *Z(n+1)=_Z(n)^2.7+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*

sources:

man fraqtive(1)

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

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