Newton/Julia Fractal Gallery

Fractal画像の紹介

2019-01-01から1ヶ月間の記事一覧

Newton/Julia Fractals (1588)~(1589)

Newton/Julia Fractal (1588) f(z) = z*SQR(z-1) + (.4019+.2100*i) Sonate K2831 Newton/Julia Fractal (1589) f(z) = z*SQR(z-1) + (.3719+.2100*i) Sonate K2833 Sonate K2834 Sonate K2835 Sonate K2836 DNA strand breaks caused by shear force

Newton/Julia Fractals (1578)~(1587)

Newton/Julia Fractal (1577-13) f(z) = SQR(z^6) + (-0.6556 + 0.2982*i) Sonate K2806 Sonate K2807 Newton/Julia Fractal (1578) f(z) = SQR(z^6) + (-0.6656 + 0.2982*i) Sonate K2809 Sonate K2810 kaleidoscopic Rotation Newton/Julia Fractal (1579)…

Newton/Julia Fractals (1568)~(1577)

Newton/Julia Fractal (1568) f(z) = (2 - z^4)/(z - 2*z^3)+(0.17+0.56*i) Sonate K2778 Newton/Julia Fractal (1569) f(z) = (2 - z^4)/(z - 2*z^3)+(0.017+0.56*i) Newton/Julia Fractal (1570) f(z) = (2 - z^4)/(z - 2*z^3)+(0.17-0.46*i) Newton/Julia…

Newton/Julia Fractals (1565) ~ (1567)

Newton/Julia Fractal (1565) f(z) = z^3 + 2*z^2 + z + (-0.382204911174327 + 1.03729207822459*i) Sonate K2770 Cubic mandelbrot set: z = z^3 + 2*z^2 + z + c Step 1 Step 2 Step 3 Step 4 step 5 Step 6 at c = -0.382204911174327 + 1.0372920782245…

Newton/Julia Fractals (1559)~(1564)

Newton/Julia Fractal (1559) f(z) = SQR(z^6) + 0.386 Sonate K2759 Newton/Julia Fractal (1559-2) f(z) = SQR(z^6) + (-.486400800500034+.996059109114843*i) Sonate K2759-3 Sonate K2759-4 Back to the mandelbrot f(z) = sqr(z^6) + c Step 1 Step 3 …

Newton/Julia Fractals (1548)~(1558)

Newton/Julia Fractal (1548) f(z) = SIN(z)*SQR(z) - 0.23 Sonate K2736 Sonate K2737 Sonate K2738 Newton/Julia Fractal (1549) f(z) = (z-z^3/6)*SQR(z) - 0.23 Polynomial expansion of sin(z) Sonate K2740 Sonate K2741 Sonate K2742 Sonate K2743 Ne…

Newton/Julia Fractals (1534)~(1547)

Newton/Julia Fractal (1534) f(z) = z*arg(SIN(z)) Newton/Julia Fractal (1535) f(z) = z*ABS(tan(z)) Sonate K2713 Newton/Julia Fractal (1536) f(z) = z*ABS(TAN(z)-1/4) Sonate k2715 Sonate K2716 Newton/Julia Fractal (1537) f(z) = z*arg(sin(z))-…

Newton/Julia Fractals (1523)~(1532)

Newton/Julia Fractal (1523) f(z) = z^2 - SIN(0.32/z^2) Newton/Julia Fractal (1524) f(z) = z^2 - Sinh(0.32/z^2) Newton/Julia Fractal (1525) f(z) = z^2 - Cos(0.32/z^2) Newton/Julia Fractal (1526) f(z) = z^2 - tan(0.32/z^2) Sonate K2701 Newto…

Newton/Julia Fractals (1509)~(1522)

Newton/Julia Fractal (1509) f(z) = (1.0+0.1*i)*z*(1-z^3) 3-fold symmetry Newton/Julia Fractal (1510) f(z) = (1.0+0.1*i)*sin(z)*(1-z^3) Newton/Julia Fractal (1511) f(z) = (1.0+0.01*i)*(z-z^3/6)*(1-z^3) Newton/Julia Fractal (1512) f(z) = (1.…

Newton/Julia Fractals (1499)~(1508)

Newton/Julia Fractal (1499) f(z) = z*SQR(z) - 0.2 "Glynn Tree" Sonate K2663 Sonate K2664 Sonate K2665 Newton/Julia Fractal (1500) f(z) = z*SQR(z) - 0.21 Sonate K2667 Sonate K2668 Newton/Julia Fractal (1501) f(z) = z*SQR(z) - 0.19 Sonate K2…

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) Sonate K2641 Sonate K2642 Newton/Julia Fractal (1488) f(z) = z - ((z-1)^3/3+z*Im(z)-1)/(2/25*z^2+10*z-2) Root finding at z1 (right red curve) = 2.44, z2 = - 0.2…

Newton/Julia Fractals (1474)~(1486)

Newton/Julia Fractal (1474) f(z) = z - (z^3-Re(z^2)/z-z^2/22+0.0194*i)/(198/37*z^2+2*z-1) Sonate K2614 Sonate K2615 Newton/Julia Fractal (1475) f(z) = z - (z^3-Re(z^2)/z-z^2/22+0.0194*i)/(190/37*z^2+2*z-1) Sonate K2617 Newton/Julia Fractal…

Newton/Julia Fractals (1462)~(1473)

Newton/Julia Fractal (1462) f(z) = z - (z^3-z-z^2/22+0.0094*i)/z -1.27 < Re < 2.14, -1.69 < Im < 1.72 Sonate K2594 Force Field around Ultima Thule Newton/Julia Fractal (1463) f(z) = z - (z^3-z-z^2/22+0.0194*i)/z Sonate K2596 Newton/Julia F…

Newton/Julia Fractals (1452)~(1461)

Newton/Julia Fractal (1452) f(z) = z - (z^3/3-SINH(z^2)+z-1)/(-2*z*COSH(z^2)+11*z^2+2*z-1) Sonate K2562 Sonate K2563 Sonate K2564 Sonate K2565 Newton/Julia Fractal (1453) f(z) = z - (z^3/3-(z^2+z^6/6+z^10/120+z^14/5049*z^18/362880)+z-1)/(-…

Newton/Julia Fractals (1440)~(1451)

Newton/Julia Fractal (1440) f(z) = z - (z^3/3-Re(SIN(z^2))+z-1)/(11*z^2+2*z-1) Sonate K2534 Newton/Julia Fractal (1441) f(z) = z - (z^3/3-(z^2-z^6/6+z^10/120-z^14/5040+z^18/362880)+z-1)/(11*z^2+2*z-1) -5 < Re, Im < 5 Solved by WolframAlpha…

Newton/Julia Fractals (1428)~(1439)

Newton/Julia Fractal (1428) f(z) = z - (z^3/3+z^2+1)/(11*Re(z^2)+2*z) Sonate K2508 Sonate K2509 Newton/Julia Fractal (1429) f(z) = z - (z^3/2+z^2+1)/(11*Re(z^2)+2*z) Sonate K2511 Newton/Julia Fractal (1430) f(z) = z - (z^3/2-z^2+z-1)/(11*R…

Newton/Julia Fractals (1408)~(1427)

Newton/Julia Fractal (1408) f(z) = (+2.13202*i)*z^2+(z-0.06)^3 +0.01/z Newton/Julia Fractal (1409) f(z) = (+2.13202*i)*z^2+(z-0.061)^3 +0.01/z Newton/Julia Fractal (1410) f(z) = (+2.13202*i)*z^2+(z-0.0635)^3 +0.01/z Sonate K2482 Newton/Jul…