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1
Image Threads / Re: Lyapunov fractals
« Last post by ThunderboltPagoda on Yesterday at 11:24:27 PM »
And now b is 2.4 and 2.5. That's the last posting of this series.
2
Image Threads / Re: Lyapunov fractals
« Last post by ThunderboltPagoda on Yesterday at 11:22:11 PM »
Here b is 2.2 and 2.3.
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Image Threads / Re: Lyapunov fractals
« Last post by ThunderboltPagoda on Yesterday at 11:20:32 PM »
In the second GIF, b is increased by 1 from 3 to 10. The JPGs have b = 2.0 and 2.1, resp.
4
Fragmentarium / Re: Attempting to port Riemann to Fragmentarium
« Last post by buddhi on Yesterday at 11:19:25 PM »
There was several mistakes in my pseudo-code. Try this:
Code: [Select]
float DE(vec3 p) {
vec3 z=p;
float deltavalue = max(length(z) * 0.000001, DEScale * 0.1);
vec3 deltaX = vec3 (deltavalue, 0.0, 0.0);
vec3 deltaY = vec3 (0.0, deltavalue, 0.0);
vec3 deltaZ = vec3 (0.0, 0.0, deltavalue);


vec3 zCenter = DE1(z);
float r = length(zCenter);

vec3 d;
vec3 zx1 = DE1(z + deltaX);
vec3 zx2 = DE1(z - deltaX);
d.x = min(fabs(length(zx1) - r), fabs(length(zx2) - r)) / deltavalue;

vec3 zy1 = DE1(z + deltaY);
vec3 zy2 = DE1(z - deltaY);
d.y = min(fabs(length(zy1) - r), fabs(length(zy2) - r)) / deltavalue;

vec3 zz1 = DE1(z + deltaZ);
vec3 zz2 = DE1(z - deltaZ);
d.z = min(fabs(length(zz1) - r), fabs(length(zz2) - r)) / deltavalue;

float dr = length(d);

return 0.5 * (r) * log(r)/(dr);  //logarythmic DeltaDE
//return 0.5 * (r-DEOffset)/abs(dr); //linear DeltaDE
//return 0.5*log(r-DEOffset)/(dr); //logarithmic AnalyticDE
//return (r-DEOffset)/abs(dr); //linear AnalyticDE

}

I hope it will work better. I haven't tested it, because I have never used Fragmentarium. I'm sorry if I confused you about this code.
5
Image Threads / Re: Lyapunov fractals
« Last post by ThunderboltPagoda on Yesterday at 11:16:20 PM »
As I wrote in an earlier posting, you can vary the parameter b in the b*sinē(r+x) formula. Here is a series of static images and two animated GIFs with the same sequence, coordinates and color scheme. The sequence is bbbbaaaab. As the patterns fill the x-y-plane periodically, it's not necessary to mention the coordinates. In the first GIF, b is increased by steps of 0.1 from 1.6 to 3.0, the JPG has b = 1.9.

Red is the region of order (negative Lyapunov exponent), blue the region of chaos (positive exponent).
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Image Threads / Re: zm49 (Stars)
« Last post by CFJH on Yesterday at 10:30:10 PM »
4Stars ( at E27493)
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Image Threads / Re: Valleys
« Last post by pauldelbrot on Yesterday at 09:35:47 PM »
Royal Purple
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Fractal Image Gallery / Riemann' s fragments
« Last post by timemit on Yesterday at 08:25:02 PM »
Riemann' s fragments



https://fractalforums.org/index.php?action=gallery;sa=view;id=1750

Fragmentarium 2.5

From Sabine and Mclarekin here - https://fractalforums.org/fragmentarium/17/attempting-to-port-riemann-to-fragmentarium/2263

thanks for playthings : )

Code: [Select]
#preset Default
FOV = 0.3446475
Eye = 1.418009,-3.452624,2.510964
Target = -1.768143,5.178673,-3.518044
Up = -0.1646809,0.5232471,0.8361241
EquiRectangular = false
Gamma = 0.8932103
ToneMapping = 5
Exposure = 0.6522
Brightness = 0.9720373
Contrast = 1
Saturation = 1
GaussianWeight = 1
AntiAliasScale = 2.5
DepthToAlpha = false
ShowDepth = false
DepthMagnitude = 1
Detail = -3.681788
FudgeFactor = 0.0296384
NormalBackStep = 10
CamLight = 1,0.8352941,0.627451,1.288591
BaseColor = 1,0.8039216,0.4901961
OrbitStrength = 1
X = 1,1,1,0.7060367
Y = 0.01960784,0.4196078,0.6666667,0.4002625
Z = 1,0.3333333,0.02745098,1
R = 0.2431373,0.3176471,0.2470588,0.5036113
BackgroundColor = 0.1137255,0.1921569,0.2470588
GradientBackground = 1.231231
CycleColors = true
Cycles = 4.964748
EnableFloor = true NotLocked
FloorNormal = -0.0245847,-0.2956811,1
FloorHeight = -2.067021
FloorColor = 0.2470588,0.2901961,0.3803922
FocalPlane = 5.72792
Aperture = 0.0543406
InFocusAWidth = 0.7480597
DofCorrect = true
ApertureNbrSides = 7
ApertureRot = 0
ApStarShaped = false
Bloom = true
BloomIntensity = 0.1066847
BloomPow = 1.35514
BloomTaps = 15
BloomStrong = 1
RefineSteps = 4
MaxRaySteps = 5000
MaxDistance = 67.10605
Dither = 1
DetailAO = -0.0552632
coneApertureAO = 0.1933373
maxIterAO = 46
FudgeAO = 0.9405941
AO_ambient = 1.064366
AO_camlight = 0.7981408
AO_pointlight = 1.445703
AoCorrect = 0.3280794
Specular = 0.5298361
SpecularExp = 11.37124
AmbiantLight = 0.509804,0.6235294,1,0.1644022
Reflection = 0.4627451,0.4078431,0.3529412
ReflectionsNumber = 2
SpotGlow = true
SpotLight = 0.9607843,0.8784314,0.7137255,4.111641
LightPos = -1.278296,-2.689747,-4.207723
LightSize = 0
LightFallOff = 0.6947228
LightGlowRad = 1.139879
LightGlowExp = 0.6518817
HardShadow = 1
ShadowSoft = 4.112903
ShadowBlur = 0.0233957
perf = false
SSS = false
sss1 = 0.1
sss2 = 0.5
HF_Fallof = 0.2526314
HF_Const = 0.0604651
HF_Intensity = 0.0255034
HF_Dir = 0,0,1
HF_Offset = -3.44504
HF_Color = 0.7843137,0.8784314,0.9254902,0.7052846
HF_Scatter = 0
HF_Anisotropy = 0,0,0
HF_FogIter = 1
HF_CastShadow = false
EnCloudsDir = false
CloudDir = 0,0,1
CloudScale = 1
CloudFlatness = 0
CloudTops = 1
CloudBase = -1
CloudDensity = 1
CloudRoughness = 1
CloudContrast = 1
CloudColor = 0.65,0.68,0.7
CloudColor2 = 0.07,0.17,0.24
SunLightColor = 0.7,0.5,0.3
Cloudvar1 = 0.99
Cloudvar2 = 1
CloudIter = 5
CloudBgMix = 1
WindDir = 0,0,1
WindSpeed = 1
b = 0
c = 1
imax = 18
ColorIterations = 5
scale = -4.387352
ssh = -2.100906
tsh = 0.260274
shift = 0.4339251,-1.012492,0.2761341
DEScale = -2.081686
DEOffset2 = 2.740642
#endpreset
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Image Threads / Re: Fourfold
« Last post by pauldelbrot on Yesterday at 06:52:17 PM »
Cherry Caramel Swirls
10
Looks cool! :)
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