Newton/Julia Fractal (964)
WolframAlpha
f(z) = z - (z^5/2-1)/(42*z^2+z+1)
Sonate K1419
Sonate K1420
Sonate K1421
Newton/Julia Fractal (965)
f(z) = z - (z^5/2-i)/(42*z^2+z+1)
Sonate K1423
z1 =-1.0948 + 0.355*i, z2 = -0.675 - 0.929*i, z3 = 1.1149*i, z4 = 0.675 - 0.929*i, z5 = 1.0948 + 0.355*1
Sonate K1424
Around the origin (0,0)
Sonate K1425
z4 = 0.675 - 0.929*i right-handed spiral point
Sonate K1426
z2 = -0.675 - 0.929*i left-handed spiral point
Sonate K1427
z3 = 1.1149*i converging point
Newton/Julia Fractal (966)
f(z) = z - (z^5/2+i)/(42*z^2+z+1)
Newton/Julia Fractal (967)
f(z) = z - (z^5/0.8+i)/(42*?(z^2)+z+1)
Sonate K1430
Newton/Julia Fractal (968)
f(z) = z - (z^5/0.8+i)/(42*?(?(z^2))+z+1)
z1 = -0.91 - 0.296*i, z2 = 0.56 + 0.77*i, z3 = -0.956*i, z4 = 0.56 +0.77*i, z5 = 0.91 - 0.296*i.
Sonate K1432
z3 = -0.956*i
Sonate K1433
Newton/Julia Fractal (969)
f(z) = z - (z^4/2-i)/(42*?(?(z^2))+z+1)
z1, z2 = ±(0.46 - 1.1*i), z3, z4 = ±(1.1 + 0.46*i)
Sonate K1435
Newton/Julia Fractal (970)
f(z) = z - (z^4/2-i)/(42*z^2+z+1)
Sonate K1437
Newton/Julia Fractal (971)
f(z) = z - (z^4/2-i)/(42*?(z^2)+z+1)
Sonate K1439
Around the root z4 = 0.46 -1.1*i for the polynomial z^4/2 - i = 0.
Sonate K1440
Around the hekical root z4 = -1.1 - 0.46*i for the polynomial z^4/2 - i = 0.
Newton/Julia Fractal (972)⇔(965)
f(z) = z - (z^5/2-i)/(42*z^3+z^2+z+1)
Sonate K1442
Sonate K1443
Around the origin (0,0). Right-handed? left-handed?
Newton/Julia Fractal (973)⇔(966)
f(z) = z - (z^5/2+i)/(42*z^3+z^2+z+1)
Newton/Julia Fractal (974)⇔(964)
f(z) = z - (z^5/2+i)/(42*z^3+z^2+z+1)
Sonate K1446
WolframAlpha