Newton/Julia Fractal Gallery

Fractal画像の紹介

Newton/Julia Fractals (3009) - (3015)

 Newton/Julia Fractals (3009) 

MandelBrot Set 

f(z) = (z-1)*(z^2-c)

f:id:blogchemistry:20191106203440j:plain

Outside Color Scheme: Distance Farthest from Gaussian Integers & Distance to the Unicircle

Fractal Generator V2 (Dr.Donald.E. Spicler.Jr)

raphing on Complex Plane
z = (z-1)*(z^2-c)
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.43125 + 0.6074999999999999 i
Width = 0.2
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout

 

Sonate K6437

MandelBrot Set 

f(z) = (z-1)*(z^2-c)

f:id:blogchemistry:20191106212500j:plain

Outside Color Scheme:  Distance to the Unicircle

Graphing on Complex Plane
z = (z-1)*(z^2-c)
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.26322 + -0.16966999999999996 i
Width = 0.0016
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout

 

Sonate K6438

MandelBrot Set 

f(z) = (z-1)*(z^2-c)

f:id:blogchemistry:20191106213629j:plain

Outside Color Scheme:  Distance to Imaginary/Y Axis

Graphing on Complex Plane
z = (z-1)*(z^2-c)
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.26322 + -0.16966999999999996 i
Width = 0.0016
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout

 

Sonate K6439

MandelBrot Set 

f(z) = (z-1)*(z^2-c)

f:id:blogchemistry:20191106214951j:plain

Outside Color Scheme:  Distance to Origin

Graphing on Complex Plane
z = (z-1)*(z^2-c)
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.26322 + -0.16966999999999996 i
Width = 0.0016
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout

 

Sonate K6440

MandelBrot Set 

f(z) = (z-1)*(z^2-c)

f:id:blogchemistry:20191106215443j:plain

Outside Color Scheme:  Nearest to a Gaussian Integer & Distance to Real/X Axis

Graphing on Complex Plane
z = (z-1)*(z^2-c)
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.26322 + -0.16966999999999996 i
Width = 0.0016
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout

 

Sonate K6441

MandelBrot Set 

f(z) = (z-1)*(z^2-c)

f:id:blogchemistry:20191106220830j:plain

Outside Color Scheme:  Nearest to a Gaussian Integer & Distance to Real/X Axis, \distance to Unit Circle

Graphing on Complex Plane
z = (z-1)*(z^2-c)
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.26322 + -0.16966999999999996 i
Width = 5.0
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout

 

Sonate K6442

MandelBrot Set 

f(z) = (z-1)*(z^2-c)

f:id:blogchemistry:20191106222535j:plain

Nearest to a Gaussisn Integer & Distance to Imaginary/Y Axis, Distance to Unit Circle

Graphing on Complex Plane
z = (z-1)*(z^2-c)
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.21507999999999997 + 0.86483 i
Width = 0.008
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout

 

Sonate K6443

MandelBrot Set 

f(z) = (z-1)*(z^2-c)

f:id:blogchemistry:20191106224431j:plain

Farthest to Gaussisn Integers & Distance to Unit Circle

Graphing on Complex Plane
z = (z-1)*(z^2-c)
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.011329999999999951 + -0.76767 i
Width = 0.2
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout

 

Newton/Julia Fractals (3010) 

 

f(z) = z^(z-1)*(z^2-c)

f:id:blogchemistry:20191107131207j:plain

 

Sonate K6445

f:id:blogchemistry:20191107132227j:plain

Outside Color Scheme: Farthest from Gaussian Integers & distance to Real/X Axis

Graphing on Complex Plane
z = z^(z-1)*(z^2+c)
Fixed c, z ranges over plane.
C = 0.43125 + 0.607499 i
Center = -1.3190499999999998 + 0.03080000000000001 i
Width = 0.2
Maximum Iteration = 100
Bailout Radius = 4.0
Escape Bailout

 

Newton/Julia Fractals (3011) 

 

f(z) =z^ (z-1)*(z^2-c)

f:id:blogchemistry:20191107144403j:plain

Outside Color Scheme: Farthest from Gaussian Integers & Distance to Uni tcircle

Graphing on Complex Plane
z = z^(z-1)*(z^2+c)
Fixed c, z ranges over plane.
C = 0.0113299 + -0.76767 i
Center = -0.759375 + 0.38750000000000007 i
Width = 1.25
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout

 

Newton/Julia Fractals (3012) 

 

f(z) = (z-1)*(z^2-c)

f:id:blogchemistry:20191107153739j:plain

 

f:id:blogchemistry:20191107154753j:plain

 

Outside Color Scheme: Farthest from Gaussian Integers & Distance to Real/X Axis

Graphing on Complex Plane
z = (z-1)*(z^2+c)
Fixed c, z ranges over plane.
C = 0.0113299 + -0.76767 i
Center = 0.567404 + 0.19215813999999998 i
Width = 3.5
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout

 

Only Iteraction

f:id:blogchemistry:20191107154846j:plain

 

Newton/Julia Fractals (3014) 

MandelBrot Set 

f(z) = 10*(1-z)/(8-4*z+2*z^2^z^3)+c

f:id:blogchemistry:20191107181247j:plain

Outside Color Scheme: Farthest to Gaussian Integers & Distance to Origin

Graphing on Complex Plane
z = 10*(1-z)/(8-4*z+2*z^2-z^3)+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -1.3 + 1.4974999999999998 i
Width = 0.2
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

 

Sonate K6450 

Outside Color Scheme: Farthest to Gaussian Integers & Distance to Unit Circle

f:id:blogchemistry:20191107182810j:plain

Graphing on Complex Plane
z = 10*(1-z)/(7-4*z+2*z^2-z^3)+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.7124999999999999 + -0.0125 i
Width = 1.0
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

 

Newton/Julia Fractals (3015) 

MandelBrot Set 

f(z) = z/(1+z^3)+c

Outside Color Scheme: Farhtest from G. Int. & Distance to Unit Circle
Inside Color Scheme: Distance to Unit circle

f:id:blogchemistry:20191107202848j:plain

Graphing on Complex Plane
z = z/(1+z^3)+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.5449999999999999 + -0.92125 i
Width = 0.2
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

 

Sonate K6452

f:id:blogchemistry:20191107203655j:plain

Graphing on Complex Plane
z = z/(1+z^3)+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.6147499999999999 + -0.894 i
Width = 0.04
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

 

Sonate K6453 Julia

f:id:blogchemistry:20191107205103j:plain

Graphing on Complex Plane
z = z/(1+z^3)+c
Fixed c, z ranges over plane.
C = 0.6281 + -0.89525 i
Center = 0.6281999999999999 + -0.89525 i
Width = 0.008
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

 

Sonate K6454 Julia

f:id:blogchemistry:20191107210809j:plain

Graphing on Complex Plane
z = z/(1+z^3)+c
Fixed c, z ranges over plane.
C = 0.6281 + -0.89525 i
Center = -0.5125 + -0.125 i
Width = 1.0
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

 

Newton/Julia Fractals (3015) 

MandelBrot Set 

f(z) = z^2/2+z^4/4+c

f:id:blogchemistry:20191107221507j:plain

Outside Color Scheme: Distance to Unit Circle

Graphing on Complex Plane
z = z^2/2+z^4/4+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.6909599999999999 + 1.2857 i
Width = 0.064
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout

 

 Sonate K6455-2

f:id:blogchemistry:20191108112016j:plain

Sonate K6455-3

f:id:blogchemistry:20191108111928j:plain

 

 

Sonate K6456 Only  Iteraction

f:id:blogchemistry:20191108111822j:plain

Graphing on Complex Plane
z = z^2/2+z^4/4+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.6923999999999999 + 1.30402 i
Width = 0.021333333333333333
Maximum Iteration = 400
Bailout Radius = 1.0E8
Escape Bailout

 

Sonate K6456-3

f:id:blogchemistry:20191108113849j:plain

 

Sonate K6456-4

f:id:blogchemistry:20191108114602j:plain

Graphing on Complex Plane
z = z^2/2+z^4/4+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.6996266666666666 + 1.3049266666666666 i
Width = 0.007111111111111111
Maximum Iteration = 400
Bailout Radius = 1.0E8
Escape Bailout

 

K6456-5

Outside Color Scheme: Farthest from G. Integ. & Distance to Unit Circle

f:id:blogchemistry:20191108115639j:plain

 

Sonate K6456-6

MandelBrot at c = .694606723876542+1.31157961980598*i

f:id:blogchemistry:20191108151400j:plain

 

Sonate K6456-7 Outside Color Scheme: Distance to Unit Circle

MandelBrot at c = .6946067+1.3115796*i

f:id:blogchemistry:20191108152857j:plain