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Author Topic: Mandelbulb3Dv189x2 fractal montage of 27,245 fractals.  (Read 2020 times)
Description: All permutations of 2 formula using all formula from the first 5 categories.
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1Bryan1
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« on: October 24, 2015, 04:36:33 AM »

The montage of the 27,245 fractals can be viewed in YouTube.
It consists of 606 sets of 45 images played 2 per second.
It used out-of-the-box Mandelbulb3Dv189x2 formula.

<a href="https://www.youtube.com/v/NWmy1aBE2oA&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/NWmy1aBE2oA&rel=1&fs=1&hd=1</a>

All permutations of 2 formula using formula from the first 5 categories using the Alternate option in both Julia and non-Julia modes.
Excluded: Images with no visible fractal; Images where the camera cannot zoom far enough away to escape the fractal (i.e. is one color).

Each montage image in the video has images with white text at the bottom of the images as shown below:


The numbers are  decoded into Formula names as follows:

1 . 01 + 1 . 04 J     =     <formula 1 category #> . <formula 1 #> + <formula 2 category #> . <formula 2 #> <Julia indicator>

Category # and Formula # decode to the formula name using the associated columns in the table below.

So 1.01+1.04J decodes as Formula 1, Category 1, Formula Aexion C + Formula 2, Category 2, Formula Benesi1Pow2 with Julia on.
1.01+1.04  without the J is the same but with Julia off.

Code:
Category #  Formula #  Formula            
1           1          Aexion C            
1           2          Aex-Octo            
1           3          Aex-TorusPow        
1           4          Benesi1Pow2        
1           5          Benesi2Pow2        
1           6          Benesi2Pow6        
1           7          Benesi3Pow2        
1           8          Beth1032            
1           9          Beth1522            
1           10         Beth322            
1           11         Beth323            
1           12         Beth432            
1           13         Beth651            
1           14         BristorBrot        
1           15         Bulbox              
1           16         BulboxP-2          
1           17         CosinePow2          
1           18         CosinePow8          
1           19         Faehrten            
1           20         Folding Int Pow    
1           21         Fuzzy              
1           22         General            
1           23         GenIntPower        
1           24         IdesFormula        
1           25         Ikenagabulb        
1           26         Integer Power      
1           27         IQ-bulb            
1           28         IQ-bulb old        
1           29         KaliDucks          
1           30         KaliLinCombSSE2sm  
1           31         Kalisets1          
1           32         MagVsXYZ            
1           33         MagVsXYZabs        
1           34         Real Power          
1           35         Tricorn            
2           1          _cylripple          
2           2          _DEComb_ISph_Plane  
2           3          _e_3Dtess          
2           4          _IFS_tess          
2           5          _MobiusTpx          
2           6          _mulC3D            
2           7          _quadist            
2           8          _Rpow3              
2           9          _SinePow2          
2           10         _sphereinv          
2           11         _SphereInvC        
2           12         _SquareR            
2           13         MagVsXYZabs2        
2           14         MagVsXYZabs3        
2           15         MagVsXYZmsw        
2           16         Makin3D-1          
2           17         Makin3D-2          
2           18         Makin3D-3-4        
2           19         Makin-NSR-tri      
2           20         MandelView          
2           21         ManowarBulb        
2           22         Msltoe_Sym          
2           23         MsltoeFoldQuat      
2           24         MsltoeSym2          
2           25         MsltoeSym3          
2           26         MsltoeSym4          
2           27         PseudoXDB          
2           28         Quad3Db            
2           29         Quadrat3D          
2           30         QuickDudley        
2           31         QuickDudleyKM      
2           32         Quintic            
2           33         Riemann            
2           34         Riemann2            
2           35         RuckerBrot1        
2           36         Ruckerbulb          
2           37         TalisTpx            
2           38         TetraFolding Pow2  
2           39         TgladDihed          
2           40         TgladDihed2        
2           41         TgladTetra          
2           42         TgladTetra2        
2           43         TrifoxComplexAngles
3           1          _AmazingBox        
3           2          _AmazingBoxSSE2    
3           3          _Scaling            
3           4          ABoxMapSFold        
3           5          ABoxMod1            
3           6          ABoxMod2            
3           7          ABoxModKali        
3           8          ABoxPlatinum        
3           9          ABoxPlatinumB      
3           10         ABoxSmoothFold      
3           11         ABoxVaryScale      
3           12         ABoxVaryScale2      
3           13         ABoxVS_icen1        
3           14         ABoxVS_icen2        
3           15         ABoxVSShapes        
3           16         ABoxVSWavy          
3           17         Amazing Box        
3           18         Amazing Surf        
3           19         Amazing Surf 2      
3           20         AmazingBox2        
3           21         ASurfMod1          
3           22         ASurfSmoothFold    
3           23         ATetraVS            
3           24         ATetraVS2          
3           25         CantorIFS          
3           26         CrossBiFold        
3           27         DodecahedronIFS    
3           28         DodecahedronIFSex  
3           29         genIFS              
3           30         HalfOctIFS          
3           31         IcosahedronIFS      
3           32         JCube3              
3           33         koch_cube          
3           34         koch_oct            
3           35         koch_surf          
3           36         Mandalex            
3           37         Menger3            
3           38         MengerHyper        
3           39         MengerIFS          
3           40         MengerIFSplus      
3           41         MengerKoch          
3           42         MengerKochV2        
3           44         OctahedronIFS      
3           45         OctKoch            
3           46         SierpHilbert        
3           47         Sierpinski3        
3           48         Sierpinski3alt      
3           49         SierpinskiFull      
4           1          _Atan4D            
4           2          _conj4D            
4           3          _coordvspow        
4           4          _Exp4D              
4           5          _julibrot          
4           6          _Log4D              
4           7          _Rpow3_4d          
4           8          _Scalingplus        
4           9          _setw              
4           10         _Sin4Dplus          
4           11         _SphereInvC4d      
4           12         _Tanh4D            
4           13         Aexion1            
4           15         Barnsley2_4Dnc      
4           16         Barnsley4Dc        
4           17         Barnsley4Dc2        
4           18         Barnsley4Dnc        
4           19         Beth1241            
4           20         Beth1661dual        
4           21         Beth2422            
4           22         Beth641            
4           23         CommQuat            
4           24         CubicQuat          
4           25         GeneralQuat        
4           26         Hopf4D              
4           27         hyperd_1            
4           28         Lambda4Dc          
4           29         Lambda4Dnc          
4           30         Magnet4D            
4           31         Makin4D p2a        
4           32         Makin4D p2b        
4           33         Makin4D p4a        
4           34         Makin4D p4b        
4           35         Makin4D p8a        
4           36         Makin4D p8b        
4           37         Mandel4DBiC        
4           38         MandyCousin        
4           39         MandyCousin2        
4           40         MandyCousin3        
4           41         PG-bulb            
4           43         Quaternion          
4           44         QuatPow            
5           2          _ScaleC4d          
5           3          ABoxMod4d          
5           4          ABoxSphereOffset4d  
5           5          ABoxVaryScale4d    
5           6          HalfOct4a          
5           7          HalfOct4b          
5           8          Menger4            
5           9          Menger4ex          
5           10         MixPinski4          
5           11         MixPinski4ex        
5           12         Octahedron4        
5           13         Sierpinski4        
5           14         Sierpinski4ex      
« Last Edit: October 25, 2015, 09:10:27 PM by 1Bryan1 » Logged

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M Benesi
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« Reply #1 on: October 24, 2015, 06:06:23 AM »

Awesome.  Now it's time to write a genetic algorithm, linked with google image search, to find awesomeness...
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cKleinhuis
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« Reply #2 on: October 24, 2015, 09:31:31 AM »

yay, very cool collection, and indeed needed
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cKleinhuis
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« Reply #3 on: October 24, 2015, 09:32:50 AM »

but a commenting of the used formulas would be helpful
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1Bryan1
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« Reply #4 on: October 24, 2015, 09:54:25 AM »

but a commenting of the used formulas would be helpful
Which list?
The 185 formulas used or the 27,245 formula pairs that that the 606 montage images represent?
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DarkBeam
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« Reply #5 on: October 24, 2015, 10:11:32 AM »

I was going to guess all the formulas used.
My brain exploded hurt
wink
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M Benesi
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« Reply #6 on: October 24, 2015, 06:44:00 PM »

Which list?
The 185 formulas used or the 27,245 formula pairs that that the 606 montage images represent?
lol
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matsoljare
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« Reply #7 on: October 24, 2015, 08:15:09 PM »

A lot of interesting ones there, how about rendering at least one high resolution picture of each?
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1Bryan1
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« Reply #8 on: October 25, 2015, 02:30:10 AM »

A lot of interesting ones there, how about rendering at least one high resolution picture of each?

27,245 fractals at image size 500x500 = 96 hours effort = 4GB of images.
If I turned the images into a video at that resolution and switched images at 2 images per second, the resultant video will be about 3 hours 35 minutes long and be about 13GB in size.

However, I'll see what I can do to add the formula details to the montage,
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cKleinhuis
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« Reply #9 on: October 25, 2015, 10:52:58 AM »

Which list?
The 185 formulas used or the 27,245 formula pairs that that the 606 montage images represent?

all 27245 formula pairs explicitly listed, s said earlier, this could be a nice online browser that puts out the formula pairs on input selection cheesy
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1Bryan1
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« Reply #10 on: October 25, 2015, 11:01:53 AM »

all 27245 formula pairs explicitly listed, s said earlier, this could be a nice online browser that puts out the formula pairs on input selection cheesy

Original post updated, video now indicates which formula pairs generated the image.
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cKleinhuis
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« Reply #11 on: October 25, 2015, 11:35:42 AM »

 Repeating Zooming Self-Silimilar Thumb Up, by Craig
Original post updated, video now indicates which formula pairs generated the image.
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KRAFTWERK
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« Reply #12 on: October 25, 2015, 12:38:03 PM »

Totally wicked - and very useful!  A Beer Cup

I guess you have your Mandelbulb3D loaded with all of Luca's new formulas?
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DarkBeam
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« Reply #13 on: October 25, 2015, 12:54:16 PM »

Keep in mind some formulas behave differently only with nondefault values.
Example scale, sierpinskiex (different when rotated only) etc smiley
Some others are just experiments / dustbin wink
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1Bryan1
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« Reply #14 on: October 25, 2015, 09:09:05 PM »

Totally wicked - and very useful!  A Beer Cup

I guess you have your Mandelbulb3D loaded with all of Luca's new formulas?

Good question. This was done with Mandelbulb3Dv189x2 out-of-the-box.
I have updated the original post title to reflect that important fact.

Keep in mind some formulas behave differently only with nondefault values.
Example scale, sierpinskiex (different when rotated only) etc smiley
Some others are just experiments / dustbin wink

Thanks DarkBeam, wondered about that.
« Last Edit: October 25, 2015, 09:15:23 PM by 1Bryan1 » Logged

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