Misc – Page 2 – Henry's Website

Fractal Gallery

posted on 6 August 20215 August 2023tagged as Fractals, Maths

$\int$

A gallery of fractals I made on the software Fractal Zoomer

$Z_{n+1} = Z_n^4 + c$

\[Z_{n+1} = Z_n^4 + c\] — $Z_{n+1} = Z_n^4 + c$

Burning Ship

$0.25Z^2 + c + (Z^2 + c)-2$

\[0.25Z^2 + c + (Z^2 + c)-2\] — $0.25Z^2 + c + (Z^2 + c)-2$

$(-0.4 + 0.2i)cZ^2 + (-0.275i\div c)Z + c$

\[(-0.4 + 0.2i)cZ^2 + (-0.275i\div c)Z + c\] — $(-0.4 + 0.2i)cZ^2 + (-0.275i\div c)Z + c$

$abs(Z^2) + c$

\[abs(Z^2) + c\] — $abs(Z^2) + c$

$abs(Z)\div abs(c) + c$

\[abs(Z)\div abs(c) + c\] — $abs(Z)\div abs(c) + c$

$zlog(Z+1) + c$

\[zlog(Z+1) + c\] — $zlog(Z+1) + c$

$Z - (Z^8 + c)\div (8Z^6)$

\[Z - (Z^8 + c)\div (8Z^6)\] — $Z - (Z^8 + c)\div (8Z^6)$

$sin(Z)c$

Lambert W Variation

Szegedi Butterfly 1

$cZ^2 + 1 + (cZ^2 + 1)^{-1}$

\[cZ^2 + 1 + (cZ^2 + 1)^{-1}\] — $cZ^2 + 1 + (cZ^2 + 1)^{-1}$

$sin(z+1) + abs(c)$

\[sin(z+1) + abs(c)\] — $sin(z+1) + abs(c)$

$z + cos(z)^{sinh(c)}$

\[z + cos(z)^{sinh(c)}\] — $z + cos(z)^{sinh(c)}$

$z + log(c)$

\[z + log(c)\] — $z + log(c)$

$cot(Z^5)\times log2(c)$

\[cot(Z^5)\times log2(c)\] — $cot(Z^5)\times log2(c)$

$cos(Z+c)$

\[cos(Z+c)\] — $cos(Z+c)$

$sin(abs(Z)) + c$

\[sin(abs(Z)) + c\] — $sin(abs(Z)) + c$

$tan(sin(c) - sin(Z))$

\[tan(sin(c) - sin(Z))\] — $tan(sin(c) - sin(Z))$

$abs(c) + Z^\pi$

\[abs(c) + Z^\pi\] — $abs(c) + Z^\pi$

12/9/21

$tan(abs(Z^2)) + c$

$sin(abs(Z^2)) + c$

$cos(abs(Z^2)) + c$

$tan(abs(Z^2) + c)$

$sin(abs(z^2) + c)$