Newton/Julia Fractals (3032) - (3034)
Newton/Julia Fractal (3032)
f(z) = z^2-1.7*z-c^2
Outside Color Scheme: Dibtance to Unit Circle
Graphing on Complex Plane
z = z^2-1.7*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 = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6519
Graphing on Complex Plane
z = z^2-1.7*z - c^2
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.215 + 0.9050000000000001 i
Width = 0.8
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6520
Graphing on Complex Plane
z = z^2-1.7*z - c^2
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.16699999999999998 + 0.6480000000000001 i
Width = 0.16
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
K6520 Only Iteraction
Graphing on Complex Plane
z = z^2-1.7*z - c^2
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.15337599999999998 + 0.6574160000000002 i
Width = 0.00128
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Newton/Julia Fractal (3033)
f(z) = z^3/(3-2*z) + c
Outside Color Scheme: Curvature
Graphing on Complex Plane
z = z^3/(3-2*z) + c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -1.3733999999999997 + -1.2765000000000002 i
Width = 0.048
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6523
Outside Color Scheme: Curvature
Graphing on Complex Plane
z = z^3/(3-2*z) + c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 6.0
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Newton/Julia Fractal (3034)
f(z) = (1-z^2)/(z-0.01*z^2+0.2*z^3) + c
Mandelbrot
Only Iteraction
Graphing on Complex Plane
z = (1-z^2)/(z-0.01*z^2+0.2*z^3) + c
Fixed z, c ranges over plane.
z = 1.0 + 0.0 i
Center = 0.03125 + -1.7500000000000002 i
Width = 0.5
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6525 Julia Set
Graphing on Complex Plane
z = (1-z^2)/(z-0.01*z^2+0.2*z^3) + c
Fixed c, z ranges over plane.
C = 0.03125 + -1.75 i
Center = 0.0 + 0.0 i
Width = 0.5
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6526
Graphing on Complex Plane
z = (1-z^2)/(z-0.01*z^2+0.2*z^3) + c
Fixed z, c ranges over plane.
z = 1.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 5.0
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6527
Graphing on Complex Plane
z = (1-z^2)/(z-0.01*z^2+0.02*z^3) + c
Fixed z, c ranges over plane.
z = 1.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 5.0
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6528
Graphing on Complex Plane
z = (1-z^2)/(z-0.01*z^2+0.02*z^3) + c
Fixed z, c ranges over plane.
z = 1.0 + 0.0 i
Center = -0.275 + 0.275 i
Width = 0.5
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6529
Graphing on Complex Plane
z = (1-z^2)/(z-0.01*z^2) + c
Fixed z, c ranges over plane.
z = 1.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 5.0
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6530
Graphing on Complex Plane
z = (1-z^2)/(z-0.01*z^2+0.001*z^3) + c
Fixed z, c ranges over plane.
z = 1.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 5.0
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6531
Graphing on Complex Plane
z = (1-z^2)/(z-0.01*z^2+0.001*z^3) + c
Fixed z, c ranges over plane.
z = 1.0 + 0.0 i
Center = 0.0125 + 0.018750000000000003 i
Width = 0.5
Maximum Iteration = 1000
Bailout Radius = 10.0
Escape Bailout
Sonate K6532
Outside Color Scheme: Farhtest G. Integs.
Graphing on Complex Plane
z = (1-z^2)/(z-0.01*z^2+0.001*z^3) + c
Fixed z, c ranges over plane.
z = 1.0 + 0.0 i
Center = 0.0125 + 0.018750000000000003 i
Width = 0.5
Maximum Iteration = 1000
Bailout Radius = 10.0
Escape Bailout
Sonate K6533
Graphing on Complex Plane
z = (1-z^2)/(z-0.01*z^2+0.004*z^3) + c
Fixed z, c ranges over plane.
z = 1.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 5.0
Maximum Iteration = 1000
Bailout Radius = 10.0
Escape Bailout
Sonate K6534
Graphing on Complex Plane
z = (1-z^2)/(z-0.01*z^2+0.004*z^3) + c
Fixed z, c ranges over plane.
z = 1.0 + 0.0 i
Center = 2.0875 + 1.44375 i
Width = 0.5
Maximum Iteration = 1000
Bailout Radius = 10.0
Escape Bailout
Sonate K6535
Outside Color Scheme: Stripe
Graphing on Complex Plane
z = (1-z^2)/(z-0.01*z^2+0.004*z^3) + c
Fixed z, c ranges over plane.
z = 1.0 + 0.0 i
Center = 2.0875 + 1.44375 i
Width = 0.5
Maximum Iteration = 1000
Bailout Radius = 10.0
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
Newton/Julia Fractalｓ (3018) - (3024)
Newton/Julia Fractal (3018) = (1200)
f(z) = z-(1/20+z^2-z^4-z^6+z^8)/(7*z^4*arg(z^3)-7/30*z^4+7/23*z^2-1)
Only Iteraction
Graphing on Complex Plane
z = z-(1/20+z^2-z^4-z^6+z^8)/(7*z^4*arg(z^3)-7/30*z^4+7/23*z^2-1)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 7.0
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6460
Graphing on Complex Plane
z = z-(1/20+z^2-z^4-z^6+z^8)/(7*z^4*arg(z^3)-7/30*z^4+7/23*z^2-1)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = -1.0325 + 0.00875 i
Width = 3.5
Maximum Iteration = 600
Bailout Radius = 10.0
Escape Bailout
Sonate K6461
Outside Color Scheme: Nearest to a G. Integ.
Graphing on Complex Plane
z = z-(1/20+z^2-z^4-z^6+z^8)/(7*z^4*arg(z^3)-7/30*z^4+7/23*z^2-1)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = -1.0325 + 0.00875 i
Width = 3.5
Maximum Iteration = 600
Bailout Radius = 10.0
Escape Bailout
Sonate K5462
Graphing on Complex Plane
z = z-(1/20+z^2-z^4-z^6+z^8)/(7*z^4*arg(z^3)-7/30*z^4+7/23*z^2-1)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = 0.013124999999999967 + 1.0106250000000003 i
Width = 1.75
Maximum Iteration = 600
Bailout Radius = 10.0
Escape Bailout
Newton/Julia Fractal (3019)
f(z) = z-(1/20+z^2-z^4-z^6+z^8)/(7*z^4*arg(Re(z^3))-1/30*z^4+6/23*z^2-1)
Only Iteraction
Graphing on Complex Plane
z = z-(1/20+z^2-z^4-z^6+z^8)/(7*z^4*arg(Re(z^3))-1/30*z^4+6/23*z^2-1)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = -0.28125 + 0.03125 i
Width = 3.3333333333333335
Maximum Iteration = 600
Bailout Radius = 10.0
Escape Bailout
Sonate K6464
Graphing on Complex Plane
z = z-(1/20+z^2-z^4-z^6+z^8)/(7*z^4*arg(Re(z^3))-1/30*z^4+6/23*z^2-1)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = -0.45375 + 0.5718750000000001 i
Width = 0.75
Maximum Iteration = 600
Bailout Radius = 10.0
Escape Bailout
Sonate K6465
Graphing on Complex Plane
z = z-(1/20+z^2-z^4-z^6+z^8)/(7*z^4*arg(Im(z^3))-1/30*z^4+6/23*z^2-1)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 5.0
Maximum Iteration = 600
Bailout Radius = 10.0
Escape Bailout
Sonate K6466
Graphing on Complex Plane
z = z-(1/20+z^2-z^4-z^6+z^8)/(7*z^4*arg(Im(z^3))-1/30*z^4+6/23*z^2-1)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = 0.015625 + 0.70625 i
Width = 1.25
Maximum Iteration = 600
Bailout Radius = 10.0
Escape Bailout
Sonate K6467
Graphing on Complex Plane
z = z-(1/20+z^2-z^4-z^6+z^8)/(7*z^4*arg(conj(z^3))-1/30*z^4+6/23*z^2-1)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 5.0
Maximum Iteration = 600
Bailout Radius = 10.0
Escape Bailout
Newton/Julia Fractal (3020)
f(z) = z^2 + c
Outside Color Scheme: Farthest from G. Integs.
Graphing on Complex Plane
z = z^2+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -1.99637457 + -1.24449E-6 i
Width = 5.0E-5
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6469
Outside Color Scheme: Stripe
Graphing on Complex Plane
z = z^2+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -1.99637457 + -1.24449E-6 i
Width = 1.0E-7
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6470
Outside Color Scheme: Stripe
Graphing on Complex Plane
z = z^2+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -1.99637454275 + -1.234615E-6 i
Width = 2.0E-8
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Newton/Julia Fractal (3021)
f(z) = 1/z+(0.3+0.8*i)
Outside color Scheme: Stripe
Inside Color Scheme: Distance to Unit Circle
Graphing on Complex Plane
z = 1/z+(0.3+0.8*i)
Fixed c, z ranges over plane.
C = 1.14 + 0.0 i
Center = -0.74525 + 0.37925000000000003 i
Width = 1.0
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6472
Outside Color Scheme: Stripe, Inside Color Scheme: Nearest to a G. Integ.
Graphing on Complex Plane
z = 1/z+(0.1+0.18*i)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = -0.94 + 0.07500000000000001 i
Width = 2.0
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6473
Outside Color Scheme: Stripe, Inside Color Scheme: Nearest to a G. Integ.
Graphing on Complex Plane
z = 1/z+(0.2+0.618*i)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = -0.94 + 0.07500000000000001 i
Width = 2.0
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Newton/Julia Fractal (3022)
f(z) = 1/z^2+(0.6+0.25*i)
Outside Color Scheme: Farthest from G. Integs.
Graphing on Complex Plane
z = 1/z^2+(0.6+0.25*i)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 5.0
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6475
Outside Color Scheme: Farthest from G. Integs.
Graphing on Complex Plane
z = 1/z^2+(0.6+0.25*i)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = 0.276875 + 1.3275000000000001 i
Width = 1.6
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Sonate K6476
Outside Color Scheme: Nearest to a G. Integ.
Graphing on Complex Plane
z = 1/z^2+(0.16+0.125*i)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 5.0
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Newton/Julia Fractal (3023)
f(z) = z+1/z^2+(0.26+0.134*i)
Outside Color Scheme: Nearest to a G. Integ.
Graphing on Complex Plane
z = z+1/z^2+(0.26+0.134*i)
Fixed c, z ranges over plane.
C = 0.0 + 0.0 i
Center = 0.0 + 0.0 i
Width = 5.0
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Newton/Julia Fractal (3024)
f(z) = z^3+c
Outside Color Scheme: Farthest from G. Integs. & Distance to Unit Circle
Graphing on Complex Plane
z = z^3+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.2781975 + 0.7418425000000001 i
Width = 0.0064
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
K6480
Outside Color Scheme: Average of Argument over Orbit
Graphing on Complex Plane
z = z^3+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.2781975 + 0.7418425000000001 i
Width = 0.0064
Maximum Iteration = 400
Bailout Radius = 10.0
Escape Bailout
Newton/Julia Fractals (3016) - (3017)
Newton/Julia Fractal (3016)
f(z) = 1-z^2+z^3/(2+4*z)+c
Outside Color Scheme: Farthest from G. Integ. & Distance to Unit Circle
Graphing on Complex Plane
z = 1-z^2+z^3/(2+4*z)+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.1263 + 0.085 i
Width = 4.0
Maximum Iteration = 400
Bailout Radius = 1.0E8
Escape Bailout
Sonate K6457-2 MandelBrot
Sonate K6457-3 MandelBrot at c = -8.79556E-2+6.6137E-2*i)
Newton/Julia Fractal (3017)
f(z) = 1-z^2+z^5/(2+4*z)+c
Outside Color Scheme: Farthest from G. Integs. & Distance to Unit Circle
Graphing on Complex Plane
z = 1-z^2+z^5/(2+4*z)+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -1.0 + 0.0 i
Width = 5.0
Maximum Iteration = 400
Bailout Radius = 1.0E8
Escape Bailout
Sonate K6458-2
Sonate K6458-3 Mandelbrot at c = -0.15723399575+0.191886518922*i
Sonate K6458-4 Only Iteraction
Graphing on Complex Plane
z = 1-z^2+z^5/(2+4*z)+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.19729599999999997 + 0.25368599999999997 i
Width = 3.2E-4
Maximum Iteration = 400
Bailout Radius = 1.0E8
Escape Bailout
Sonate K6458-5 Only Iteraction
Graphing on Complex Plane
z = 1-z^2+z^5/(2+4*z)+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.16245 + 0.08562 i
Width = 0.002
Maximum Iteration = 700
Bailout Radius = 1.0E8
Escape Bailout
Sonate K6458-6 Only Iteraction
Graphing on Complex Plane
z = 1-z^2+z^5/(2+4*z)+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.1626 + 0.0858 i
Width = 0.0012
Maximum Iteration = 700
Bailout Radius = 200.0
Escape Bailout
Sonate K6458-7 Julia z = 1-z^2+z^5/(2+4*z)+(-0.1626+0.0858*i)
Sonate K6458-8 Julia z = 1-z^2+z^5/(2+4*z)+(-0.1626+0.0858*i)
Sonate K6458-9
Outside Color Scheme: Farthest from G. Integs.
Graphing on Complex Plane
z = 1-z^2+z^5/(2+4*z)+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.162486 + 0.0858585 i
Width = 2.3999999999999998E-4
Maximum Iteration = 700
Bailout Radius = 200.0
Escape Bailout
Newton/Julia Fractals (3009) - (3015)
Newton/Julia Fractals (3009)
MandelBrot Set
f(z) = (z-1)*(z^2-c)
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)
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)
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)
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)
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)
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)
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)
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)
Sonate K6445
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)
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)
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
Newton/Julia Fractals (3014)
MandelBrot Set
f(z) = 10*(1-z)/(8-4*z+2*z^2^z^3)+c
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
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
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
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
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
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
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
Sonate K6455-3
Sonate K6456 Only Iteraction
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
Sonate K6456-4
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
Sonate K6456-6
MandelBrot at c = .694606723876542+1.31157961980598*i
Sonate K6456-7 Outside Color Scheme: Distance to Unit Circle
MandelBrot at c = .6946067+1.3115796*i
Newton/Julia Fractals (3006) - (3008)
Newton/Julia Fractal (3006)
f(z) = sqrt(z^6) + c
Outside Color Scheme: Distance to Imaginary/Y Axis
Fractal Generator V2 (Dr.Donald E. Spickler Jr.)
Graphing on Complex Plane
z = (z^6)^0.5+c
Fixed c, z ranges over plane.
C = -0.798 + 0.26637 i
Center = 0.0 + 0.26637500000000003 i
Width = 0.1
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout
Sonate K6425
Sonate K6426
Outside Color Scheme: Distance to Imaginary/Y Axis & Farthest from Gaussian Integers
Sonate K6427
Outside Color Scheme: Distance to Imaginary/Y Axis & Farthest from Gaussian Integers
Sonate K6428 Zoom Out
Outside Color Scheme: Distance to Imaginary/Y Axis
Graphing on Complex Plane
z = (z^6)^0.5+c
Fixed c, z ranges over plane.
C = -0.798 + 0.26637 i
Center = 0.0 + 0.0 i
Width = 4.0
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout
Newton/Julia Fractal (3007)
f(z) = z^2 + c
Outside Color Scheme: Farthest from Gaussian Integers & Distance to Unit circle
Graphing on Complex Plane
z = z^2+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -1.525 + 0.05 i
Width = 1.0
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout
Sonate K6430
Graphing on Complex Plane
z = z^2+c
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -1.2425 + 0.3575 i
Width = 0.2
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout
Newton/Julia Fractal (3008)
f(z) = (z-1)*(z^2-c)
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 = -0.01245 + 0.60645 i
Width = 0.024
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout
Sonate K6432 Colour Scheme: Distance to Real/X Axis
Sonate K6433 Colour Scheme: Distance to Imaginary/Y Axis
Sonate K6434 Only Iteration
Sonate K6435 Stripe Density 2 & Repest 2
Newton/Julia Fractals (3001)-(3005)
Newton/Julia Fractal (3001)
f(z) = SIN(c+z^2)+SINH(z^3-c)
Sonate K6415-2
Using Fractal Generator (by Dr. Donald Spickler)
Graphing on Complex Plane
z = sin(c+z^2)+sinh(z^3-c)
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.54759975 + 1.2267111875 i
Width = 5.0E-6
Maximum Iteration = 500
Bailout Radius = 4.0
Escape Bailout
Sonate K5415-3 Coloring Scheme: Diatance to Real Axis
Sonate K5415-4 Coloring Scheme: Diatance to Real Axis + Farthest from Gaussian Integers
Graphing on Complex Plane
z = sin(c+z^2)+sinh(z^3-c)
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.547599640625 + 1.2267113687500002 i
Width = 5.0E-6
Maximum Iteration = 500
Bailout Radius = 4.0
Escape Bailout
Sonate K5415-5 Coloring Scheme: Diatance to Real Axis
Graphing on Complex Plane
z = sin(c+z^2)+sinh(z^3-c)
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.54759975 + 1.2267111875 i
Width = 0.01
Maximum Iteration = 500
Bailout Radius = 5.0
Escape Bailout
Sonate K5415-6 Coloring Scheme: Nearest from Gaussian Integers
raphing on Complex Plane
z = sin(c+z^2)+sinh(z^3-c)
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.54759975 + 1.2267111875 i
Width = 5.0E-6
Maximum Iteration = 500
Bailout Radius = 5.0
Escape Bailout
Newton/Julia Fractal (3002)
f(z) =
SIN*1
Sonate K6417
Newton/Julia Fractal (3003)
f(z) = SIN*2
Newton/Julia Fractal (3003-b)
f(z) = SIN*3+SINH(z^3-(-.57395+1.15273*i))
Sonate K6420
Newton/Julia Fractal (3004)
f(z) = SIN(c+z^2)+SINH(z^3-c)
Color Scheme: Distance to Imaginary/Y Axis
Fractal Generator V.2 (Dr. Donald Spickler)
Color Scheme: Distance to Unit Circle
Color Scheme: Distance to Unit Circle + Distance to Origin
Graphing on Complex Plane
z = sin(c+z^2)+sinh(z^3-c)
Fixed z, c ranges over plane.
z = 0.0 + 0.0 i
Center = -0.54759975 + 1.2267111875 i
Width = 5.0E-6
Maximum Iteration = 500
Bailout Radius = 4.0
Escape Bailout
Newton/Julia Fractal (3005)=(1559-8)
f(z) = sqrt(z^6) + (0.5456+0.2982*i)
Inside color Scheme: Distance to Origin
Graphing on Complex Plane
z = (z^6)^0.5+c
Fixed c, z ranges over plane.
C = -0.545456 + 0.2982 i
Center = 0.0 + 0.08 i
Width = 3.5
Maximum Iteration = 200
Bailout Radius = 1.0E8
Escape Bailout
Inside Colour Scheme: Farthest from Gaussian Integers
Inside Colour Scheme: Nearest to a Gaussian Integer
