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