# Flippers

Variations that divide up the plane in various ways and flip or rotate the parts.

## fan

Divides the plane into pie shaped wedges and rotates them (dependent variation).

Type: 2D
Date: 8 Mar 2005

Fan is an older “dependent variation” that depends on the affine coefficients of the transform instead of parameters. Of course, changing the affine coefficients affects the flame too, making dependent variations more difficult to use than the newer “parametric variations” that use parameters, such as fan2.

Note: Due to a bug in the implementation, fan also flips the plane diagonally. This is fixed in fan2.

## fan2

Divides the plane into pie shaped wedges and rotates them.

Type: 2D
Date: 4 Nov 2005

## flipcircle

Flips the points inside a circle centered at the origin top to bottom.

Type: 2D
Author: Michael Faber
Date: 30 Jun 2011

The radius of the circle is determined by the variation amount (which also scales the result as usual).

https://www.deviantart.com/michaelfaber/art/Flip-216005432

## flipy

Flips the points on the right side of the y-axis top to bottom.

Type: 2D
Author: Michael Faber
Date: 30 Jun 2011

https://www.deviantart.com/michaelfaber/art/Flip-216005432

## glitchy1

Mix of lazysensen (divide flame into strips and flip them) and pixel_flow (blur to resemble flowing pixels).

Type: 3D
Authors: Brad Stefanov and Rick Sidwell, with thanks to Luca G (dark-beam) and Zotya Dócs (bezo97)
Date: 19 May 2020

https://jwildfire-forum.overwhale.com/viewtopic.php?f=23&t=2871

## lazysensen

Divide the flame into strips and flip them.

Type: 3D
Author: Zotya Dócs (bezo97) from an idea by Senzune
Date: 24 May 2018

https://bezo97.tk/plugins

## minkowscope

Flip the plane in a wave shape based on the Minkowsky question-mark function across the origin.

Type: 2D
Author: Luca G (dark-beam)
Date: 5 Aug 2017

## oscilloscope

Flip the plane in a sine wave shape across the x axis.

Type: 2D
Author: Michael Faber
Date: 16 Sep 2007

## oscilloscope2

Flip the plane in a sine wave shape across the origin with perturbation.

Type: 2D
Author: Luca G (dark-beam)
Date: 4 Jul 2014

## rectangles

Divide the plane into rectangles and flip each horizontally and vertically.

Type: 2D
Author: Michael Faber
Date: 31 Dec 2006

## scrambly

Divide the central square into subsquares and scramble them.

Type: 2D
Author: Luca G (dark-beam)
Date: 27 Jun 2014

https://www.deviantart.com/dark-beam/art/Scrambly-463910011

## split

Split the plane into horizontal and vertical strips and flip alternate strips across the x and y axes.

Type: 2D
Author: Joel Faber
Date: 21 Jun 2007

Don’t confuse with similarly named variation splits.

## tqmirror

Divide the plane into four regions using right angles; shift one region and flip or rotate the others.

Type: 2D
Authors: Nic Anderson (chronologicaldot) and Brad Stefanov
Date: 15 Aug 2015

The variation name means “three quarter mirror”. It uses four vertical lines and four horizontal lines to divide the plane into four regions. Here are the locations of the lines (amount is the variation amount, letters other than x and y are parameter values):

Given these lines, here is a description of the four regions and what happens to each. In JWildfire, the major diagonal runs from top left to bottom right, and the minor diagonal runs from top right to bottom left. “Scale by (u,v)” means multiply the resulting x by u and y by v. Note that many combinations of parameters will result in overlaps and gaps.

Finally, here is a summary of the parameters:

https://jwildfire-forum.overwhale.com/viewtopic.php?f=23&t=1893

Trade a circle on the right with a circle on the left, flipping them in the process.

Type: 2D
Author: Michael Faber
Date: 5 Apr 2009

This information has all been created by Rick Sidwell as a guide to the more popular variations used in fractal flames, and very generously allowed me to reproduce it here. Not all of the variations are included with JWildfire, but a great many are, so it is worthwhile learning about them.