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