This page is an exploration of a deep zoom into the 4coshsinh-4cs parallel resistor formula fractal. 4coshsinh-4cs is the shorthand name for a fractal with the equation:

R1 = z * (cosh(z) - 1) * sinh(z) + cp + 1

R2 = z * (cos(z) - 1) * sin(z) + cp - 1

z = 1 / (1 / R1 + 1 /R2)

The fractal is made up of a R1 coshsinh term adjusted to a power of 4 and a R2 cossin term adjusted to a power of 4. The R1 term is centered at (-1,0) and is mixed with a R2 term centered at (+1,0). In FractInt cp is called pixel. The 4coshsinh-4cs fractal was written by Mike Frazier in November 2012.

The image below is an annotated version of the starting fractal. Points of interest are indicated by arrows and numbers.


You can download a folder of files to generate the fractals. The files are available for use in Fracton or FractInt. The FractInt parameter files are the composite type that have the parameters and formula in the same file. The deep zooms are only available in Fracton document files since formula deep zoom is not supported in FractInt.

Download Fracton document files

Download FractInt parameter files

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