Flippers

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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.

ParameterDescription
c, O1, or c20Sets the size of the wedges; smaller values create smaller (and thus more) wedges

fan2

Divides the plane into pie shaped wedges and rotates them.

Type: 2D
Date: 4 Nov 2005

ParameterDescription
xSets the size of the wedges; smaller values create smaller (and thus more) wedges. Specifically, there will be 4 / x^2 wedges; for example, x=0.5 will make 16 wedges.
yControls the wedge rotation. When y is 0, wedges on the left side are rotated left and wedges on the right are rotated alternately. Increasing y makes more wedges rotate alternately and decreasing y makes more rotate the same direction.

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

ParameterDescription
scale_x, scale_y, scale_zControl the size of the lazysensen strips perpendicular to each axis (same as in lazysensen)
shift_x, shift_y, shift_zOffsets for the lazysensen flipping
n_x, n_y, n_zSwap counts; glitchy1 swaps every n strips; 2 gives lazysensen behavior
widthControls the size of the shards; larger values make smaller pieces
seedRandom number generator seed; change to create different patterns
angleSharding angle, in degrees
u, v, wControl the shard randomization in three angles

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

ParameterDescription
scale_xControls the size of the vertical stripes (perpendicular to the x axis); larger values create thinner stripes (reflected across the x axis)
scale_yControls the size of the horizontal stripes (perpendicular to the y axis); larger values create thinner stripes (reflected across the y axis)
scale_zControls the size of stripes perpendicular to the z axis; larger values create thinner stripes (reflected across the z axis)

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

ParameterDescription
separationSpecifies how far apart the top and bottom parts are separated from each other; when equal to amplitude, the top and bottom halves barely touch; when higher, there is space between the halves
frequencyxFrequency of the main question-mark wave; higher values give more waves
frequencyyFrequency of the pertubation sine wave
amplitudeHeight of the wave
perturbationAmount of horizontal perturbation to add
dampingAmount to dampen each side of the wave (reduce its amplitude as it gets further from the origin); 0 for no damping; negative values increase the amplitude

https://www.deviantart.com/dark-beam/art/Old-plugins-reloaded-for-Apo7x-in-32-and-64-bit-701559850

oscilloscope

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

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

ParameterDescription
separationSpecifies how far apart the top and bottom parts are separated from each other; when equal to amplitude, the top and bottom halves barely touch; when higher, there is space between the halves
frequencyFrequency of the sine wave; higher values give more waves
amplitudeHeight of the sine wave
dampingAmount to dampen each side of the wave (reduce its amplitude as it gets further from the origin); 0 for no damping; negative values increase the amplitude

https://www.deviantart.com/nightmares06/art/Bubble-Variation-Tutorial-89801629
https://www.deviantart.com/tyrantwave/art/Apophysis-3D-Baseforms-Pack-113871861

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

ParameterDescription
separationSpecifies how far apart the top and bottom parts are separated from each other; when equal to amplitude, the top and bottom halves barely touch; when higher, there is space between the halves
frequencyxFrequency of the main sine wave; higher values give more waves
frequencyyFrequency of the pertubation sine wave
amplitudeHeight of the sine wave
perturbationAmount of horizontal perturbation to add
dampingAmount to dampen each side of the wave (reduce its amplitude as it gets further from the origin); 0 for no damping; negative values increase the amplitude

https://www.deviantart.com/dark-beam/art/Old-plugins-reloaded-for-Apo7x-in-32-and-64-bit-701559850

rectangles

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

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

ParameterDescription
xHorizontal rectangle size; if 0, the plane is divided into horizontal stripes and flipped only vertically
yVertical rectangle size; if 0, the plane is divided into vertical stripes and flipped only horizontally

https://www.deviantart.com/nestalgica/art/Using-Rectangle-and-Curl-47813401
http://www.deviantart.com/art/Rectangle-and-Curl-Script-71519219
https://www.deviantart.com/cabintom/art/Windows-Script-59966267

scrambly

Divide the central square into subsquares and scramble them.

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

ParameterDescription
lNumber of subsquares per side the central square is divided into, integer between 3 and 25
seedRandom number generator seed, an integer; if between 0 and 50, the squares are scrambled in a “more predictable way”
byrows0: Scramble the subsquares among the entire square
1: Scramble the subsquares within each row separately
cellsizeSize of the central square (the default of 0.1 is very small)

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.

ParameterDescription
xsizeControls the size of the vertical strips that are flipped across the x axis; higher values produce more strips
ysizeControls the size of the horizontal strips that are flipped across the y axis; higher values produce more strips

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):

Vertical LinePreset 0General
Line 1x = -amountx = l – amount * d
Line 2x = 0 (y-axis)x = n
Line 3x = amountx = amount – q
Line 4x = -amount (same as Line 1)x = l – amount * b
Horizontal LinePreset 0General
Line ay = -amounty = m – amount * e
Line by = 0 (x-axis)y = o
Line cy = amounty = amount * a
Line dy = -amount (same as Line a)y = p – amount * c

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.

RegionBoundariesAction
ALeft of line 1 or above line aType 0: Flip across the major diagonal, then scale by (r,s)
Type 1: Scale by (r,s)
BLeft of line 2 and above line b, but not in region AShift right by amount * f and down by amount * g
CLeft of line 3, right of line 4, above line c, and below line d, but not in region A or BMode 0: Flip across the minor diagonal, then scale by (h,i)
Mode 1: Same as mode 0
Mode 2: Rotate 90° clockwise, then scale by (h,i)
DEverything not in regions A, B, or CMode 0: Scale by (j,k)
Mode 1: Flip across the minor diagonal, then scale by (j,k)
Mode 2: Flip across the x-axis, then scale by (j,k)

Finally, here is a summary of the parameters:

ParameterDescription
(amount)The variation amount specifies the base size for the region boundaries; unlike most variations, the amount does not scale the result
presetSets the letter parameters to specific values that work nicely; there are currently three presets: 0 through 2
aScale for line c (bottom of region C)
bScale for line 4 (left side of region C)
cScale for line d (top of region C)
dScale for line 1 (right side of region A)
eScale for line a (bottom of region A)
fScale for region B horizontal shift amount
gScale for region B vertical shift amount
hScale for x in region C
iScale for y in region C
jScale for x in region D
kScale for y in region D
lOffset for lines 1 and 4 (right side of region A, left side of region C)
mOffset for line a (bottom of region A)
nOffset for line 2 (right side of region B)
oOffset for line b (bottom of region B)
pOffset for line d (top or region C)
qOffset for line 3 (right side of region C)
rScale for x in region A
sScale for y in region A
type0: Flip region A; 1: Don’t flip region A
modeAction for regions C and D (see table above)

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

trade

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

ParameterDescription
r1Radius of circle 1 (on the right)
d1Distance of the left edge of circle 1 to the right of the origin
r2Radius of circle 2 (on the left)
d2Distance of the right edge of circle to the left of the origin

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

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