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Newton/Julia Fractals (939)~(950)

Newton/Julia Fractal (939)

f(z) = z - (z^3/2+1)/(42*?(?(z^2))+z+1)
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Not so beautiful as compared with z^4/2-1 of N/J(926).


Newton/Julia Fractal (940)

f(z) = z - (z^3/2-1)/(42*?(?(z^2))+z+1)
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イメージ 2
Slight Change of sign from + to - bings about  several modified-pattern.

Sonate K1384
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イメージ 3

    Amazing tile flooring by God.


Newton/Julia Fractal (941)

f(z) = z - (z^3-1)/(25*?(?(z^2))+1/2*z+1)
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Newton/Julia Fractal (942)

f(z) = z - (z^3/0.8-1)/(25*?(?(z^2))+1/2*z+1)
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Sonate K1387
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Newton/Julia Fractal (943)

f(z) = z - (z^3+1)/(25*?(?(z^2))+1/2*z+1)
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イメージ 7



Newton/Julia Fractal (944)

f(z) = z - (z^3+1)/(25*?(?(z^2))+1/2*z+1)
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Newton/Julia Fractal (945)

f(z) = z - (z^3/2+1)/(42*?(?(z^2))+z+1)
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イメージ 9



Newton/Julia Fractal (946)

f(z) = z - (z^3/2+1)/(42*?(?(z^2))+z+1)
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Newton/Julia Fractal (947) ⇔ (910) 

f(z) = z - (z^5/2+1)/(42*z^2+z+1)
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Five roots, z1 = -1.1487, z2 = -0.354967 + 1.09248*i, z3 = 0.929316 + 0.67518*i, z4 = 0.929316 - 0.67518*i, and z5 = -0.354967 - 1.09248*i.

Sonate K1393
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イメージ 12
Expanding around origin (0,0).


Newton/Julia Fractal (948) ⇔ (910) 

f(z) = z - (z^5/3.3+1)/(42*z^2+z+1)
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Sonate K1394 Le château de Satan
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Two eyes showing two roots Z4 = 1.02721 - 0.74631*i and z5. 1.02721 + 0.74631*i . 


Newton/Julia Fractal (949) 

f(z) = z - (z^5/1.3+1)/(42*z^2+z+1)
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Newton/Julia Fractal (950) 

f(z) = z - (z^5/0.8+1)/(42*?(?(z^2))+z+1)
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イメージ 16


Sonate K1398   Quo vadis, Domine ? 
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Quo vadis, four roots z1, z2, z3, z4?


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