Newton/Julia Fractal (939)
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Not so beautiful as compared with z^4/2-1 of N/J(926).
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Slight Change of sign from + to - bings about several modified-pattern.
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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.
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Expanding around origin (0,0).
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Quo vadis, four roots z1, z2, z3, z4?
f(z) = z - (z^3/2+1)/(42*?(?(z^2))+z+1)
Newton/Julia Fractal (940)
f(z) = z - (z^3/2-1)/(42*?(?(z^2))+z+1)
Sonate K1384
Amazing tile flooring by God. |
Newton/Julia Fractal (941)
f(z) = z - (z^3-1)/(25*?(?(z^2))+1/2*z+1)
Newton/Julia Fractal (942)
f(z) = z - (z^3/0.8-1)/(25*?(?(z^2))+1/2*z+1)
Sonate K1387
Newton/Julia Fractal (943)
f(z) = z - (z^3+1)/(25*?(?(z^2))+1/2*z+1)
Newton/Julia Fractal (944)
f(z) = z - (z^3+1)/(25*?(?(z^2))+1/2*z+1)
Newton/Julia Fractal (945)
f(z) = z - (z^3/2+1)/(42*?(?(z^2))+z+1)
Newton/Julia Fractal (946)
f(z) = z - (z^3/2+1)/(42*?(?(z^2))+z+1)
Newton/Julia Fractal (947) ⇔ (910)
f(z) = z - (z^5/2+1)/(42*z^2+z+1)
Sonate K1393
Newton/Julia Fractal (948) ⇔ (910)
f(z) = z - (z^5/3.3+1)/(42*z^2+z+1)
Sonate K1394 Le château de Satan
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)
Newton/Julia Fractal (950)
f(z) = z - (z^5/0.8+1)/(42*?(?(z^2))+z+1)
Sonate K1398 Quo vadis, Domine ?