Newton/Julia Fractals (3025) - (3031)

Newton/Julia Fractal (3025)

f(z) = (0.38+0.1*i)/(z+z^3) +1/z

Outside Color Scheme: Distance to Unit Corcle

Fractal Generator v2 (Dr.Don. E. Spickler Jr.)

Graphing on Complex Plane
z = (0.38+0.1*i)/(z+z^3) +1/z
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 4.0
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

Sonate K6482 Only Iterraction

Graphing on Complex Plane
z = (0.38+0.1*i)/(z+z^3) +1/z
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 5.0
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

Sonate K6483 Outside Color Scheme: Distance to Origin

Sonate K6484 Outside Color Scheme: Distance to Realx Axis 

Sonate K6485 Outside Color Scheme: Stripe

Graphing on Complex Plane
z = (0.55+0.02*i)/(z+z^3) +0.3/z
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 5.0
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

Newton/Julia Fractal (3026)

f(z) = (0.55*0.2*i)/(z+z^3)

Only Iteraction

Graphing on Complex Plane
z = (0.55*0.2*i)/(z+z^3)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 4.0
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

Sonate K6487

Graphing on Complex Plane
z = (0.55*0.2*i)/(z+z^3)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = -0.6036 + 0.7064 i
Width = 0.032
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

Sonate K6488 Outside Color Scheme: Stripe

Graphing on Complex Plane
z = (0.55*0.2*i)/(z+z^3)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = -0.6036 + 0.7064 i
Width = 0.032
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

Sonate K6489 

Outside Color Scheme: Nearesr to a G. Integ.

 Graphing on Complex Plane
z = (0.55*0.2*i)/(z+z^3)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = -0.6036 + 0.7064 i
Width = 0.032
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

Sonate K6490 Outside Color Scheme:

Top Stripe & Bottom Iteraction

Newton/Julia Fractal (3027)

f(z) = (0.38+0.01*i)/(z+z^3)

Only Iteaction

Graphing on Complex Plane
z = (0.38+0.01*i)/(z+z^3)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = -0.536925 + 0.7993250000000001 i
Width = 0.08399999999999999
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

Sonate K6492

Graphing on Complex Plane
z = (0.38+0.01*i)/(z+z^3)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 4.0
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

Sonate K6493 Outside color Scheme: Top Iteraction & Bottom Stripe

Newton/Julia Fractal (3028)

f(z) = -z^2/2+z^3/3+c

Outside Color Scheme: Nearest to a G. Integ.

Graphing on Complex Plane
z = -z^2/2+z^3/3+c
Fixed z, c ranges over plane.
z = 1.0 + 0.0 i
Center = 0.18760000000000002 + 1.9758200000000001 i
Width = 0.011199999999999998
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

Sonate K6495 Only Iteraction

Sonate K6496  Outside Color Scheme: Stripe

Sonate K6497  Iteraction & Stripe

Graphing on Complex Plane
z = -z^2/2+z^3/3+(0.1786+1.97582*i)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = 1.0050999999999999 + -0.004179999999999878 i
Width = 0.8
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

Newton/Julia Fractal (3029)

f(z) = z^3 -z+ c^2

Outside Color Scheme： Cuavature

Graphing on Inverse Complex Plane
z = z^3 -z+ c^2
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 6.0
Maximum Iteration = 100
Bailout Radius = 4.0
Escape Bailout

Sonate K6499

Graphing on Inverse Complex Plane
z = z^3 -z+ c^2
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.8925 + 0.6300000000000001 i
Width = 1.2
Maximum Iteration = 100
Bailout Radius = 4.0
Escape Bailout

Sonate K6500

Outside Color Scheme: Stripe

Graphing on Inverse Complex Plane
z = z^3 -z+ c^2
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 6.0
Maximum Iteration = 100
Bailout Radius = 4.0
Escape Bailout

Sonate K6501

Outside Color Scheme: Stripe
Graphing on Inverse Complex Plane
z = z^3 -z+ c^2
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.5235000000000001 + 1.158 i
Width = 0.24
Maximum Iteration = 100
Bailout Radius = 4.0
Escape Bailout

Sonate K6502

Outside Color Scheme: Stripe
Graphing on Inverse Complex Plane
z = z^3 -z+ c^2
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.5219400000000001 + 1.1153399999999998 i
Width = 0.009600000000000001
Maximum Iteration = 100
Bailout Radius = 4.0
Escape Bailout

Sonate K6503

Outside Color Scheme: Curvature

Graphing on Complex Plane
z = z^3 -z+ c^2
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 4.0
Maximum Iteration = 100
Bailout Radius = 4.0
Escape Bailout

Newton/Julia Fractal (3030)

f(z) = z^3 -z+ c

Outside Color Scheme: Curvature

Graphing on Complex Plane
z = z^3 -z+ c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 5.0
Maximum Iteration = 100
Bailout Radius = 4.0
Escape Bailout

Sonate K6505

Outside Color Scheme: Curvature
Graphing on Inverse Complex Plane
z = z^3 -z+ c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 5.0
Maximum Iteration = 100
Bailout Radius = 4.0
Escape Bailout

Sonate K6506

Outside Color Scheme: Stripe

Graphing on Complex Plane
z = z^3 -z+ c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.42245 + 0.50615 i
Width = 0.008
Maximum Iteration = 100
Bailout Radius = 4.0
Escape Bailout

Sonate K6507

Outside Color Scheme: Curvature

Graphing on Complex Plane
z = z^3 -z+ c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.42245 + 0.50615 i
Width = 0.008
Maximum Iteration = 100
Bailout Radius = 4.0
Escape Bailout

Newton/Julia Fractal (3031)

f(z) = z^3 +z+ c^2

Outside Color Scheme: Curvature

Graphing on Inverse Complex Plane
z = z^3 +z+ c^2
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 5.0
Maximum Iteration = 300
Bailout Radius = 10.0
Escape Bailout

Sonate K6509

Outside Color Scheme: Curvature

Graphing on Complex Plane
z = z^3+z+ c^2
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 4.0
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

Sonate K6510

Outside Color Scheme: Distance to Unit Circle

Graphing on Complex Plane
z = z^3+z+ c^2
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.683 + 0.669 i
Width = 0.16
Maximum Iteration = 200
Bailout Radius = 10.0
Escape Bailout

Sonate K6511

z = z^3+z+c^2

z0 = 0

Sonate K6512

Center at 0.72670+0.7274057*i

Sonate K6513

At 0.72793640322+0.72796033*i

Sonate K6514

at  .727928235392078+.728056117591108*i

Sonate K6515

z = z^3+z+1/c^2 at 0.568183659-2.9128398961*i

Sonate K6516

z = z^3+z+1/c^2 at 0.533835083666-2.94734639628*i

Sonate K6517

Outside Color Scheme: Stripe

Graphing on Inverse Complex Plane
z = z^3+z+ c^2
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.6868674084 + 0.6868557659744 i
Width = 3.6E-4
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout