Newton/Julia Fractals (534)～(541)

Newton/Julia Fractal (534)

 

f(z) = z - (h(z) -2*z^2)/(h(z) -z)
h(z) = z + z^3/3 - z^5/30 - z^7/630 + z^9/22680 + z^11/1247400

 

 

 

 

Sonate K407 Black Heart

 

 

 

Newton/Julia Fractal (535)

 

f(z) = z - (SIN(z)*h(z) - 2*z^2)/(SIN(z)*j(z) - z)
h(z) = 1+ z^2/2 +z^4/24 + z^6/720
j(z) = z + z^3/6 +z^5/120 + z^7/5040

Infant N/J(528)

 

 

 

Sonate K409 Infant Cross

 

 

 

 

Newton/Julia Fractal (536)

 

f(z) = z - (SIN(z)*h(z)-2*z^2)/(SIN(z)*j(z)-z)
 h(z) = 1+ z^2/2 +z^4/24 + z^6/720 + z^8/40320
 j(z) = z + z^3/6 +z^5/120 + z^7/5040

 

 

Sonate K411

 

 

 

Sonate K412

 

 

 

Newton/Julia Fractal (537)

 

f(z) = z - (SIN(z)*h(z)-2*z^2)/(SIN(z)*j(z)-z)

 

DEF h(z) = 1+ z^2/2 +z^4/24 + z^6/720 +z^8/40320
DEF j(z) = z + z^3/6 +z^5/120 Fourth Term is eliminated

 

 

 

Sonate K414 Mandara Spiral

 

 

 

Newton/Julia Fractal (538)

 

f(z) = z - (SIN(z)*h(z)-2*z^2)/(SIN(z)*j(z)-z)
h(z) = 1+ z^2/2 +z^4/24 + z^6/720 +z^8/40320
 j(z) = z + z^3/6 

 

 

 

Sonate K416

 

 

 

Newton/Julia Fractal (539)

 

z - (SIN(z)*h(z)-2*z^2)/(SIN(z)*j(z)-z)

h(z) = 1+ z^2/2 +z^4/24 + z^6/720 +z^8/40320 +z^10/3628800
j(z) = z + z^3/6 + z^5/120

Sonate K418 Wavy Spiral

 

 

Newton/Julia Fractal (540)

Unmatured Beauty

f(z) = z - (SIN(z)*h(z) -2*z^2)/(SIN(z)*j(z) -z)

h(z) = 1+ z^2/2 +z^4/24 + z^6/720 +z^8/40320 +z^10/3628800

j(z) = z + z^3/6 + z^5/120 + z^7/5040

 

 

Sonate K420 Valiant young in hunting clothes

Newton/Julia Fractal (541)

 

f(z) = z - (SIN(z)*h(z)-2*z^2)/(SIN(z)*j(z)-z)

 

h(z) = 1+ z^2/2 +z^4/24 + z^6/720 +z^8/40320 +z^10/3628800
 j(z) = z + z^3/6 + z^5/120 + z^7/5040 +z^9/362880

Sonate K422