Waves

Variations that add waves to x, y, and/or z. There are a lot of different variants on this theme, differing in the parameters available and how they are applied.

See also blob and synth.

auger

Wave effect that gets stronger further from the origin.

Type: 2D
Author: Georg Kiehne (xyrus02)
Date: 20 Oct 2009

Parameter	Description
freq	Frequency of the waves
weight	Weighting factor of the wave effect
sym	Symmetry; controls the horizontal effect 0: No horizontal effect (only vertical) 1: Equal horizontal and vertical effect Other values: interpolate or extrapolate
scale	Scale of wave function at the origin

http://xyrus-02.deviantart.com/art/auger-140948430 (defunct)
https://sourceforge.net/p/apo-plugins/code/HEAD/tree/personal/georgkiehne/

vibration

Add sine waves in two arbitrary directions

Type: 2D
Author: Jessica Darling (FarDareisMai)
Date: 9 Aug 2011

Same as waves2 when dir=0, angle=π/2, phase=0, dir2=π/2, angle2=π/2, and phase2=0, with freq=waves2_freqx*2π, amp=waves2_scalex, freq2=waves2_freqy*2π, and amp2=waves2_scaley.

Parameter	Description
dir	Direction of wave 1 axis in radians; 0 for x-axis, π/2≈1.5708 for y-axis
angle	Angle of wave 1 in relation to the axis in radians; π/2≈1.5708 for perpendicular to axis
freq	Frequency of wave 1 (scaled by 2π compared to waves2)
amp	Amplitude of wave 1
phase	Phase of wave 1
dir2	Direction of wave 2 axis in radians; 0 for x-axis, π/2≈1.5708 for y-axis
angle2	Angle of wave 2 in relation to the axis in radians; π/2≈1.5708 for perpendicular to axis
freq2	Frequency of wave 2 (scaled by 2π compared to waves2)
amp2	Amplitude of wave 2
phase2	Phase of wave 1

https://www.deviantart.com/fardareismai/art/Apo-Plugins-Vibration-1-and-2-252001851

vibration2

Add sine waves in two arbitrary directions with modulation

Type: 2D
Author: Jessica Darling (FarDareisMai)
Date: 9 Aug 2011

Vibration2 is vibration with the ability to modulate the direction, angle, frequency, and amplitude of each wave with a sine wave. The first ten parameters are the same as vibration. Vibration2 is the same as vibration when dm, tm, fm, am, d2m, t2m, f2m, and a2m are all 0 (no modulation).

Parameter	Description
dir	Direction of wave 1 axis in radians; 0 for x-axis, π/2≈1.5708 for y-axis
angle	Angle of wave 1 in relation to the axis in radians; π/2≈1.5708 for perpendicular to axis
freq	Frequency of wave 1 (scaled by 2π compared to waves2)
amp	Amplitude of wave 1
phase	Phase of wave 1
dir2	Direction of wave 2 axis in radians; 0 for x-axis, π/2≈1.5708 for y-axis
angle2	Angle of wave 2 in relation to the axis in radians; π/2≈1.5708 for perpendicular to axis
freq2	Frequency of wave 2 (scaled by 2π compared to waves2)
amp2	Amplitude of wave 2
phase2	Phase of wave 1
dm	Amount to modulate the direction of wave 1
dmfreq	Modulation frequency for wave 1 direction
tm	Amount to modulate the angle of wave 1
tmfreq	Modulation frequency for wave 1 angle
fm	Amount to modulate the frequency of wave 1
fmfreq	Modulation frequency for wave 1 frequency
am	Amount to modulate the amplitude of wave 1
amfreq	Modulation frequency for wave 1 amplitude
d2m	Amount to modulate the direction of wave 2
dm2freq	Modulation frequency for wave 2 direction
t2m	Amount to modulate the angle of wave 2
tm2freq	Modulation frequency for wave 2 angle
f2m	Amount to modulate the frequency of wave 2
fm2freq	Modulation frequency for wave 2 frequency
a2m	Amount to modulate the amplitude of wave 2
am2freq	Modulation frequency for wave 2 amplitude

https://www.deviantart.com/fardareismai/art/Apo-Plugins-Vibration-1-and-2-252001851

https://www.youtube.com/watch?v=SXg1cdZCMcw

waves

Add sine waves to x and y (dependent variation).

Type: 2D
Author: Scott Draves
Date: March 2004

Waves 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 waves2.

Parameter	Description
b, Y1, or c10	Scale for horizontal waves
c, O1, or c20	Changes horizontal frequency (inverse square relation)
e, Y2, or c11	Scale for vertical waves
f, O2, or c21	Changes vertical frequency (inverse square relation)

waves2

Add sine waves to x and y (some versions include z).

Type: 2D
Author: Scott Draves
Date: 3 Oct 2008

Same as linear when scalex and scaley are 0. For versions with scalez, same as linear3D when scalex, scaley, and scalez are 0.

Parameter	Description
scalex	Scale for horizontal waves
scaley	Scale for vertical waves
scalez	(Not in all versions) Scale for waves in z direction
freqx	Frequency for horizontal waves
freqy	Frequency for vertical waves
freqz	(Not in all versions) Frequency for waves in z direction

https://www.deviantart.com/satania/art/Tutorial-Gnarls-163590105

https://www.deviantart.com/tyrantwave/art/Apophysis-Base-Forms-Pack-103671251

https://www.deviantart.com/drummerboy08/art/Comprehensive-Gnarl-Tutorial-147402781

waves2_3D

Add sine waves to x and y with 3D addition

Type: 3D
Author: Larry Berlin (aporev)
Date: 28 Sep 2009

Parameter	Description
freq	Frequency for waves
scale	Scale for waves

https://www.deviantart.com/aporev/art/3D-Plugins-Collection-One-138514007

waves2_radial

Add sine waves to x and y outside a circle centered at the origin.

Type: 2D
Author: Tatyana Zabanova (tatasz)
Date: 27 Nov 2016

Parameter	Description
scalex	Scale for horizontal waves
scaley	Scale for vertical waves
freqx	Frequency for horizontal waves
freqy	Frequency for vertical waves
null	Radius of circle where waves are not applied
distance	Radius of transition circle where waves are partially applied; should be greater than null

https://www.deviantart.com/tatasz/art/Apophysis-Plugin-Pack-1-647321921

waves22

Add sine waves to x and y with power option.

Type: 2D
Author: Tatyana Zabanova (tatasz)
Date: 21 Jan 2019

Same as waves2 when modex and modey are 0 and powerx and powery are 1.

Parameter	Description
scalex	Scale for horizontal waves
scaley	Scale for vertical waves
freqx	Frequency for horizontal waves
freqy	Frequency for vertical waves
modex	0 for normal (horizontal waves range from -scalex to scalex) 1 for positive (waves range from 0 to scalex)
modey	Same as modex, but for vertical wave
powerx	Power for horizontal waves; integer only (fractions ignored)
powery	Power for vertical waves; integer only (fractions ignored)

https://www.deviantart.com/tatasz/art/Weird-Waves-Plugin-Pack-1-783560564

waves23

Add triangular “waves” to x and y.

Type: 2D
Author: Tatyana Zabanova (tatasz)
Date: 21 Jan 2019

Parameter	Description
scalex	Scale for horizontal waves
scaley	Scale for vertical waves
freqx	Frequency for horizontal waves
freqy	Frequency for vertical waves

https://www.deviantart.com/tatasz/art/Weird-Waves-Plugin-Pack-1-783560564

waves2b

Add sine waves to x and y with scaling based on distance from center

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

Parameter	Description
freqx	Frequency for horizontal waves
freqy	Frequency for vertical waves
pwx	Power for horizontal waves; ideal range is 0.3 to 2.0, but any value is allowed. 1.0: Normal 0 to 0.0001: Use Jacobi Elliptic function sn(x,k) -0.0001 to 0: Use Bessel J1 function
pwy	Power for vertical waves; ideal range is 0.3 to 2.0, but any value is allowed. 1.0: Normal 0 to 0.0001: Use Jacobi Elliptic function sn(y,k) -0.0001 to 0: Use Bessel J1 function
scalex	Scale for horizontal waves near center
scaleinfx	Scale for horizontal waves away from center
scaley	Scale for vertical waves near center
scaleinfy	Scale for vertical waves away from center
unity	Distance for “near center” (scalex/scaley) and “away from center” (scaleinfx and scaleinfy)
jacok	The value for k in the Jacobi Elliptic function sn(x,k) and/or sn(y,k) when pwx or pwy is between 0 and 0.0001.

https://www.deviantart.com/dark-beam/art/Waves2b-456744888

waves3

Add modulated sine waves to x and y

Type: 2D
Author: Tatyana Zabanova (tatasz)
Date: 21 Jan 2019

Parameter	Description
scalex	Scale for horizontal waves
scaley	Scale for vertical waves
freqx	Frequency for horizontal waves
freqy	Frequency for vertical waves
sx_freq	Frequency of the sine wave that modulates the horizontal wave
sy_freq	Frequency of the sine wave that modulates the vertical wave

https://www.deviantart.com/tatasz/art/Weird-Waves-Plugin-Pack-1-783560564

waves4

Add sine waves to x and y with fracturing of horizontal wave

Type: 2D
Author: Tatyana Zabanova (tatasz)
Date: 21 Jan 2019

Parameter	Description
scalex	Scale for horizontal waves
scaley	Scale for vertical waves
freqx	Frequency for horizontal waves
freqy	Frequency for vertical waves
cont	0: Fracture with continuous diagonal lines 1: Fracture in steps (restricted to positive y (bottom half) only)
yfact	Fracture amount for horizontal wave; 0 for none

https://www.deviantart.com/tatasz/art/Weird-Waves-Plugin-Pack-1-783560564

waves42

Add sine waves to x and y with fracturing of horizontal wave

Type: 2D
Author: Tatyana Zabanova (tatasz)
Date: 21 Jan 2019

Parameter	Description
scalex	Scale for horizontal waves
scaley	Scale for vertical waves
freqx	Frequency for horizontal waves
freqy	Frequency for vertical waves
cont	0: Fracture with continuous diagonal lines 1: Fracture in steps (sometimes restricted to positive y (bottom half) only)
yfact	Fracture amount for horizontal wave; 0 for none
freqx2	Frequency for fracturing (0.159155 is same as waves4)

https://www.deviantart.com/tatasz/art/Weird-Waves-Plugin-Pack-1-783560564

wavesD2 / waves2_wf

Add damped sine or cosine waves to x and y.

Type: 2D
Author: Andreas Maschke (thargor6)
Date: 25 Dec 2011

Parameter	Description
scalex	Scale for horizontal waves
scaley	Scale for vertical waves
freqx	Frequency for horizontal waves
freqy	Frequency for vertical waves
use_cos_x	0 for sine or 1 for cosine horizontal waves
use_cos_y	0 for sine or 1 for cosine vertical waves
dampx	Dampening factor for horizontal waves; 0 for normal, negative to attenuate, positive to amplify
dampy	Dampening factor for horizontal waves; 0 for normal, negative to attenuate, positive to amplify

wavesD3 / waves3_wf

Add damped squared sine or cosine waves to x and y

Type: 2D
Author: Andreas Maschke (thargor6)
Date: 10 Feb 2012

Parameter	Description
scalex	Scale for horizontal waves
scaley	Scale for vertical waves
freqx	Frequency for horizontal waves
freqy	Frequency for vertical waves
use_cos_x	0 for sine or 1 for cosine horizontal waves
use_cos_y	0 for sine or 1 for cosine vertical waves
dampx	Dampening factor for horizontal waves; 0 for normal, negative to attenuate, positive to amplify
dampy	Dampening factor for horizontal waves; 0 for normal, negative to attenuate, positive to amplify

wavesD4 / waves4_wf

Add damped cubed sine or cosine waves to x and y

Type: 2D
Author: Andreas Maschke (thargor6)
Date: 10 Feb 2012

Parameter	Description
scalex	Scale for horizontal waves
scaley	Scale for vertical waves
freqx	Frequency for horizontal waves
freqy	Frequency for vertical waves
use_cos_x	0 for sin*cos*sin or 1 for cos*sin*cos horizontal waves
use_cos_y	0 for sin*cos*sin or 1 for cos*sin*cos vertical waves
dampx	Dampening factor for horizontal waves; 0 for normal, negative to attenuate, positive to amplify
dampy	Dampening factor for horizontal waves; 0 for normal, negative to attenuate, positive to amplify

wavesn

Add damped waves to polynomial Julia set (aka julian).

Type: 2D
Author: George Kiehne (Xyrus-02)
Date: 12 Sep 2009

Parameter	Description
freqx	Frequency for horizontal waves
freqy	Frequency for vertical waves
scalex	Scale for horizontal waves
scaley	Scale for vertical waves
incx	Horizontal scale change amount
incy	Vertical scale change amount
power	Julia power (see julian)

http://xyrus-02.deviantart.com/art/wavesn-136822863 (defunct)
https://sourceforge.net/p/apo-plugins/code/HEAD/tree/personal/georgkiehne/