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Newton/Julia Fractals (1487)~(1498)

Newton/Julia Fractal (1487)

f(z) = z - ((z-1)^3/3+z*Re(z)-1)/(2/25*z^2+10*z-2)
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Sonate K2641
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Sonate K2642
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Newton/Julia Fractal (1488)

f(z) = z - ((z-1)^3/3+z*Im(z)-1)/(2/25*z^2+10*z-2)
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Root finding at z1 (right red curve) = 2.44, z2 = - 0.20 - 1.065*i, and z3(left-handed Helix) = 1.324 + 3.10*i.

Sonate K2644
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Newton/Julia Fractal (1489)

f(z) = z - ((z-1)^3+z*Re(z)-1/3)/(2/25*z^2+10*z-2)
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Sonate K2646
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Newton/Julia Fractal (1490)

f(z) = z - ((z-1)^3+z*Im(z)-1/3)/(2/25*z^2+10*z-2)
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Sonate K2648
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Left-handed spiral root z3 = 1.28 + 1.20*i.


Newton/Julia Fractal (1491)

f(z) = z - ((z-1)^3+z*Re(z)+z/3-1)/(2/25*z^2+10*z-2)
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Sonate K2650
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Sonate K2651
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Newton/Julia Fractal (1492)

f(z) =  z - ((z-2/3)^3+z*Re(z)+z-1/3)/(2/25*z^2+10*z-2) 
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Dedrimeric Tree Spiral

Newton/Julia Fractal (1493)

f(z) = z - ((z-3/4)^3+z*Re(z)+z-1/3)/(2/25*z^2+10*z-2)
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Newton/Julia Fractal (1494)

f(z) = z - ((z-3/4*i)^3+z*Re(z)+z-1/3)/(2/25*z^2+10*z-2)
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Sonate K2655
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Newton/Julia Fractal (1495)

f(z) =  z - ((z-3/4)^3+z*Re(z)+z-i)/(2/25*z^2+10*z-2)
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Newton/Julia Fractal (1496)

f(z) =  z - ((z-3/4)^3+Re(z)*z+z-0.05*i)/(2/25*z^2+10*z-2)
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Newton/Julia Fractal (1497)

f(z) = z - ((z-1)^3+z*SIN(z)+z-1)/(2/25*z^2+3*COS(z)*z-2)
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Sonate K2659
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Newton/Julia Fractal (1498)

f(z) = z - ((z-1)^3+Re(z)*SINH(z)+z-1)/(2/25*z^2+3*COSH(z)*z-2) 
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Sonate K2661 
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