Cpow

Treats 2D points as complex numbers and raises them to a complex power that can be specified in various ways.

Cpow - Complex Power Flames

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Raise input point to a complex power specified by its real and imaginary parts.

Type: 2D
Author: Joel Faber
Date: 10 Aug 2008

Parameter	Description
r	Real part of the power
i	Imaginary part of the power
power	Divides the complex power by this amount. This also shrinks the result, which is then replicated radially this many times to fill the vacated space (aka julian).

The plugins restrict power to be an integer; JWildfire does not.

https://sourceforge.net/projects/apo-plugins/files/apo-plugins/80810/

http://guagapunyaimel.deviantart.com/art/cpow-ring2-tutorial-192002748

Cpow and Escher

cpow2

Raise input point to a complex power specified in polar coordinates.

Type: 2D
Author: Peter Sdobnov (Zueuk)
Date: 13 Mar 2009

Parameter	Description
r	Magnitude of the power; normally positive
a	Angle of the power between -2 and 2 (neither radians nor degrees)
divisor	Divides the complex power by this amount. This also shrinks the result, which is then replicated radially this many times to fill the vacated space (aka julian).
range	Controls the number of values beyond the principal value that are included; must be an integer at least 1.

http://phoenixkeyblack.deviantart.com/art/cpow2-141045125

http://sourceforge.net/p/apo-plugins/code/HEAD/tree/personal/petersdobnov/

Cpow and Escher

cpow3

Raise input point to a complex power to produce a spiral

Type: 2D
Author: Anton Liasotskiy (zy0rg)
Date: March 2013

This variation was never released by its author, but has been frequently shared in fractal chat rooms and forums. It is included in the Essential Plugin Pack at http://bezo97.tk/plugins.html, and has been implemented in JWildfire starting with version 3.21.

Parameter	Description
r	Rotation; the fraction of a circle that 360° is mapped to, so 1 means the output spiral matches the shape of the input and smaller values wind the spiral more tightly.
d	Distance; the proportional distance between successive rotations of the spiral. If the input is a shape with a hole that takes 75% of the shape, setting d to 0.75 will make the successive rotations fit in the hole. The direction of the spiral is reversed when d is negative.
divisor	Divides the complex power by this amount. This also shrinks the result, which is then replicated radially this many times to fill the vacated space (aka julian).
spread	Controls the number of values beyond the principal value that are included. The default value of 1 will dynamically adjust the number of values used based on the r and d values, and will normally not need to be increased. However it may be decreased to reduce the number of values down to a minimum of 0, which includes 1 value on each side of the principal value.

https://fractal2cry.deviantart.com/art/Cpow3-fractal-360743627

https://pillemaster.deviantart.com/art/Cauliflower-374228018

https://tatasz.deviantart.com/art/Cpow3-without-overlaps-710419456

Cpow and Escher

cpow3_wf

Attempt to port cpow2 to JWildfire that “by happy accident became something else”.

Type: 2D
Author: Gregg Helt (cozyg)
Date: 11 Mar 2015

This variation is the result of a serendipitous mistake the author made while attempting to implement cpow2 in JWildfire. He liked the results, so released this variation. It was originally added to JWildfire with the name “cpow3”, but it was renamed to “cpow3_wf” when the above cpow3 was added in JWildfire version 3.21.

https://jwildfire.overwhale.com/forum/viewtopic.php?f=23&t=1743

droste

Implements Escher’s map using logarithms; same effect as escher.

Type: 2D
Author: Joel Faber (unreleased)

Droste was “test code that [the author] forgot to delete” when he first released the plugin package containing escher. It was deleted from later versions, but still made its way into plugin collections. It does the same thing as escher