Newton/Julia Fractal Gallery

Fractal画像の紹介

Kid's Math

Newton/Julia Fractals (2899) - (2903)

Newton/Julia Fractal (2899)f(z) = z-(z^5+z^4+z^3+z^2/20+z+1)/ (6*z^4+ 18*z^3 +2*z+1) Sonate K6217Sonate K6218 Newton/Julia Fractal (2900)f(z) = z-(z^5+z^4+z^3+z^2/20+z+1)/ (6*arg(z^4)+ 18*z^3+2*z+1)Sonate K6220Newton/Julia Fractal (2901)f(…

Newton/Julia Fractals (2899) - (2903)

Newton/Julia Fractal (2899)f(z) = z-(z^5+z^4+z^3+z^2/20+z+1)/ (6*z^4+ 18*z^3 +2*z+1) Sonate K6217Sonate K6218 Newton/Julia Fractal (2900)f(z) = z-(z^5+z^4+z^3+z^2/20+z+1)/ (6*arg(z^4)+ 18*z^3+2*z+1)Sonate K6220Newton/Julia Fractal (2901)f(…

Newton/Julia Fractals (2894) - (2898)

Newton/Julia Fractals (2894) ⇔ (2882)f(z) = z-*1/(6*z^4+18*SGN(Re(z^3))+2*z+1) Sonate K6208Sonate K6208-2Newton/Julia Fractals (2895) ⇔ (2885)f(z) = z-*2/(6*z^4+18*SGN(Re(z^3))+2*z+1) Sonate K6210Sonate K6211Newton/Julia Fractals (2896) f(…

Newton/Julia Fractals (2894) - (2898)

Newton/Julia Fractals (2894) ⇔ (2882)f(z) = z-*1/(6*z^4+18*SGN(Re(z^3))+2*z+1) Sonate K6208Sonate K6208-2Newton/Julia Fractals (2895) ⇔ (2885)f(z) = z-*2/(6*z^4+18*SGN(Re(z^3))+2*z+1) Sonate K6210Sonate K6211Newton/Julia Fractals (2896) f(…

Newton/Julia Fractals (2891) - (2993)

Newton/Julia Fractal (2891) ⇔ (2878)f(z) = z-*1/ (6*z^3*arg(z)+18*z^3+2*z+1)Sonate K6204 Newton/Julia Fractal (2892) ⇔ (2879)f(z) = z-(z^5+z^4+z^3+z^2+z+1)/ (6*z^3*arg(z)+18*z^3+2*z+1) Newton/Julia Fractal (2893) ⇔ (2881)f(z) = z-*2/ (6*z^…

Newton/Julia Fractals (2891) - (2993)

Newton/Julia Fractal (2891) ⇔ (2878)f(z) = z-*1/ (6*z^3*arg(z)+18*z^3+2*z+1)Sonate K6204 Newton/Julia Fractal (2892) ⇔ (2879)f(z) = z-(z^5+z^4+z^3+z^2+z+1)/ (6*z^3*arg(z)+18*z^3+2*z+1) Newton/Julia Fractal (2893) ⇔ (2881)f(z) = z-*2/ (6*z^…

Newton/Julia Fractals (2874)~(2876)

Newton/Julia Fractal (2874)f(z) = z-*1/ (6*arg(z^4)+18*z^3+2*z+1) Sonate K6163 Newton/Julia Fractal (2875)f(z) = z-*2/ (6*arg(z^4)+18*z^3+2*z+1) Sonate K6165 Sonate K6166 Newton/Julia Fractal (2876)f(z) = z-*3/ (6*arg(z^4)+18*z^3+2*z+1) So…

Newton/Julia Fractals (2874)~(2876)

Newton/Julia Fractal (2874)f(z) = z-*1/ (6*arg(z^4)+18*z^3+2*z+1) Sonate K6163 Newton/Julia Fractal (2875)f(z) = z-*2/ (6*arg(z^4)+18*z^3+2*z+1) Sonate K6165 Sonate K6166 Newton/Julia Fractal (2876)f(z) = z-*3/ (6*arg(z^4)+18*z^3+2*z+1) So…

Newton/Julia Fractals (1714)~(1720)

Newton/Julia Fractal (1714) Infinite Douady's Lapin? f(z) = (z^5-(0.05+0.0702*i)*z+0.09)/z^3 Newton/Julia Fractal (1715) Again Becker's Dragon f(z) = (z^3+(0.51+0.78*i)*z)/(z+1)+0.005 Dr. Michael's function f(z) = (z^3+(0.5+0.78*i)*z/(z+1)…

Newton/Julia Fractals (1701)~(1713)

Newton/Julia Fractal (1701) f(z) = (z^2+1)/(z^2-1)+0.001/z^3 Newton/Julia Fractal (1702) f(z) = (z^2+0.3)/(z^2-1)-1/(122*z^2) Newton/Julia Fractal (1703) f(z) = (z^5-z)/(0.7788+0.53883333*i) Newton/Julia Fractal (1704) f(z) = (z^5-z)/(-.96…

Newton/Julia Fractals (1690)~(1700)

Newton/Julia Fractal (1690) f(z) = z^2+0.001/z^2 Sonate K3045 Newton/Julia Fractal (1691) f(z) = z^2+(0.070)/z^2 Newton/Julia Fractal (1692) f(z) = z^2 +(0.003)/z^2 Sonate K3048 Newton/Julia Fractal (1693) f(z) = z^2+(0.02)/(z^2-0.02) Newt…

Newton/Julia Fractals (1677)~(1689)

Newton/Julia Fractal (1677) f(z) = z - (1+z^2+z^4+z^6/20)/(2.475/37*z^5+7*z^2+1)+(-.26942824+6.30800331E-3) Sonate K3023 Newton/Julia Fractal (1678) f(z) = z - (1+z^2+z^4+z^6/20)/(2.475/37*z^5+7*z^2+1)+(-.27942824+6.30800331E-3) Newton/Jul…

Newton/Julia Fractals (1666)~(1676)

Newton/Julia Fractal (1666) f(z) = z - (1+z^2+z^4+z^6/20)/(2.475/37*z^5+7*z^2+1)+(.2978562+1.798571E-2*i) (.2998562+1.798571E-2*i) Initial Landing Point Sonate K2999 Newton/Julia Fractal (1667) f(z) = z - (1+z^2+z^4+z^6/20)/(2.475/37*z^5+7…

Newton/Julia Fractals (1661) ~ (1665)

Newton/Julia Fractal (1661) f(z) = z - (1+z^2+z^4+z^6/20)/(2.475/37*z^5+7*z^2+1)+(.2998562+1.798571E-2*i) Sonate K2984 Sonate K2985 Sonate K2986 Newton/Julia Fractal (1662) f(z) = z^2+z*SQR(z)+(-.158371966+2.7918228E-2*i) Sonate K2989 Sona…

Newton/Julia Fractals (1651)~(1660)

Newton/Julia Fractal (1651) f(z) = SQR(z^6)+ (.426844549082316-.029252467099056*i) Sonate K2965 Newton/Julia Fractal (1652) f(z) = SQR(z^6)+ (.426744549082316-.029252467099056*i) Newton/Julia Fractal (1653) f(z) = SQR(z^6)+ (.4265445490823…

Newton/Julia Fractals (1641)~(1650)

Newton/Julia Fractal (1641) f(z) = *1+ABS(Im(z))*i)^4+(.6823742007+.40467635*i) Sonate K2932 Sonate K2933 Sonate K2934 Sonate K2935 Sonate K2936 Sonate K2937 Sonate K2938 Sonate K2939 Sonate K2940 Newton/Julia Fractal (1642) f(z) = *2+ABS(…

Newton/Julia Fractals (1631)~(1640)

Newton/Julia Fractal (1631) f(z) = (ABS(Re(z))+ABS(IM(z))*i)^2+(0.231+0.34*i) Newton/Julia Fractal (1632) Burning Ship Region f(z) = (ABS(Re(z))+ABS(IM(z))*i)^2+(-1.7535970-2.6978317E-2*i) Sonate K2910 Newton/Julia Fractal (1633) f(z) = (A…

Newton/Julia Fractals (1623)~(1630)

Newton/Julia Fractal (1623) f(z) = (2*z^2+2*z)/(1-z^3/4)+(2.5682734+1.43885892E-2*i) Sonate K2896 Newton/Julia Fractal (1624) f(z) = (2*z^2+2*z)/(1-z^3/4)+(4.8182734+1.43885892E-2*i) Sonate K2898 Newton/Julia Fractal (1625) f(z) = (2*z^2+2…

Newton/Julia Fractals (1610)~(1622)

Newton/Julia Fractal (1610) f(z) = z*SQR(z)+(-.12867+.2589797*i) Sonate K2871 Newton/Julia Fractal (1611) f(z) = z*SQR(z)+(-.20+.002589797*i) Sonate K2873 Newton/Julia Fractal (1612) f(z) = z*SQR(z)+(-.1969+.002589797*i) Sonate K2875 Newto…

Newton/Julia Fractals (1600)~(1609)

Newton/Julia Fractal (1600) f(z) = z*SQR(z)+(-.00567+.4499797*i) Sunflower Spiral Newton/Julia Fractal (1601) f(z) = z*SQR(z)+(-.00667+.4499797*i) Sonate K2859 Newton/Julia Fractal (1602) f(z) = z*SQR(z)+(-.00867+.4099797*i) Newton/Julia F…

Newton/Julia Fractals (1590)~(1599)

Newton/Julia Fractal (1590) f(z) = z*SQR(z-1) + (.3519+.2100*i) Sonate K2838 Sonate K2839 Newton/Julia Fractal (1591) f(z) = z*SQR(z-1) + (.3419+.2100*i) Newton/Julia Fractal (1592) f(z) = z*SQR(z-1) + (.1419+.001400*i) Sonate K2842 Newton…

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.…