Buddhabrot (moleculardensity.net)

[Selenehendrix24]

1:59 pandabrot

[TiagoTiagoT]

Can you please upload the higher resolution version to Youtube?

[TiagoTiagoT]

@TiagoTiagoT Or is this at full resolution already?

[Photonzos]

Music is fine.

Change is the only thing that is permanent in life.

The line "Nothings going to change my world" is the bluest of blues.

Thank you for the presentation. Total relativity. All is change and change is all and that wont change. :-)

[marwanxyz123]

the vid was awsome but the music is fucked up dude seriously man

[FractAlkemist]

awesome vid but the music sucks

[BadSmaxx]

Fantastic video! Must thank you for the many hours of work it took to render this!

[gotmilk2345]

well i think ill become a buddhist now

[denelson83]

I thought I could see the logistic map in one part of this animation.

[getanewhobby19]

i added this to my favorites. only because you used beatles music. good choice:3

[rubynl]

amazing video, do you remember how many interations you used?

[brainflakes]

Projecting it with the Zr Zi Cr axes creates a great 3d cloud effect, how many points did you have to render? How long did the whole animation take to render?

[albertlobo1981]

@brainflakes: I don't remember how many points per frame exactly, but around a hundred million. A hundred frames took approximately 6 hours to render.

[aslambilal]

Looks like a galaxy, wonderful!

[frankensteinmoneymac]

Somehow this is just about the best home-made music video Ive seen in a really long time! I love this!

[Cettywise]

How did you do this?

[Lostone002]

Buddha-Ful

[mantrabass28]

Beautiful, with every new vision the M set acquires a new spiritual dimension!

Never stop exploring!

[arand4]

what does 4D mean?

[becomepostal]

4D is really 4 euclidian dimensions. It's hard to imagine, but it can be computed. Some say you can imagine it by starting with 3 orthogonal axes and then you add a fourth orthogonal direction. Others say 4D is to 3D what 3D is to 2D. There is even a site where you can *learn* to visualize 4D : dimensions-math. org (please note I'm not related to them in any way, it's free and I'm not spamming thanks you)

[JamieJourney]

Thanks for the link, that was cool :D. So if I got it right, a 1d line loks like a point if you look at it head on, a 2D surface looks like a 1D line if you look at it head on, so 4D looks like a 3D surface if you look at it head on. That is for objects that are made with points/lines though... Now spheres, those are a whole new creature without edges or dots to connect. I can see the cube in 4D, but what is the equiv of a sphere in 4D?

[flyinghotwing]

exelente alberto~!

[Electrozonelectronic]

Brilliant. I love the extra dimension.

[HobbyistX]

Awesome! WTB HD version!

[Maraguzzi]

this is fucking amazing

[jason4themoney]

Awesome... if this is the entire universe... we havent seen anything yet

[phobosx12]

holy crap how long did this take to compute?

[TiagoTiagoT]

so the regular Mandelbrot is just another angle of the Buddhabrot in 4D ?

[jazmatician]

No, although there's definitely an angle (at 1:50) that looks like the regular M set, but they are calculated differently. The "regular" one is of the points NOT in the set, colored based on how long it takes them to "escape." Buddabrot traces the "path" that a random collection of points go through while escaping. "Brighter" points are points passed through more often. The color is actually added by doing it multiple times, tracing the points longer each time.

[2dogarage]

Jai Guru Deva, there's no mistaking the sound and vision of the beloved. (John, I'm only dancing...)

[napalmnacey]

Holy shit, this is awesome. I think my mind just opened further! Damn, maths is cool!

[xAmandine]

beautiful! thank you!

[NoxNoctisUmbra]

last supper leonardo da vinci, invert or mirror image, copy on original, and Jesus turns into a Buddha(brot) with third eye. Everything, all is one. We are all one mind. Remember that. Nothing is higher, nothing is lower.

[AtomicShroomx]

Well hello god. How's it going?

[chrlov75]

Wonderful!!! Also the music...

[Xjak]

YAY THE BEATLES :D

[jatineke]

a real gem

[jatineke]

This is how it truly is! wonderful!

[gabbyd5394]

its the beatles..

[punkenchinada]

Oh my god that's the most amazing thing. Wow. It's incredible!!! It's amazing what math can do =]

[NoxNoctisUmbra]

math = life?

[7thAttempt]

@NoxNoctisUmbra

Hi, I'm 26, just going back to education, I don't even know my times tables and that has always put me off maths... But now, later in life I am starting to realise maths is a lot lot more than numbers........

If I may I'd like to take your comment a step further and say:

life is always maths, life is for those who don't understand maths ??

[NoxNoctisUmbra]

haha! good one. but at the end, nothing is impossible.

[zira255]

Did you create this? Please make more, you are an artist with great taste in music!

[zira255]

Beautiful - thank you!

[dam1106]

Nicely done. I have been reading about 4D for a few hours today, not sure why :), but anyway, I have seen several Tesseract/ Hypercube, adn similar animations and pretty good explanations of 4D. Still trying to fully wrap my head around those.

Anyway, this is pretty cool to try to visualize the full scope of the object as it rotates.

[gomesbascoy]

the most beautiful video in youtube *_*

[blitzio]

this is fantastic, a vision of an endless universe. where can i get a HD or high res version of this?

[angelofdeath275]

HOLY CRAP. This is so damn awesome!!!!! Just...wow. I'm still in awe....

My only issue is that you should have used the original version of "Across the Universe", not by a sound-alike. It would have given the Buddhabrot a sense of "magical-ness."

[TZOTZIOY]

What do you mean, "the original version", "not by a sound-alike"?

[angelofdeath275]

You don't know that is wasn't sung by the actual Beatles?

[TZOTZIOY]

Obviously I don't (and still am not sure I should do). Have you got an alternate artist name for the version used in the video?

[angelofdeath275]

No, as I don't keep of Beatles sound alikes. All I know is that there are quite a few sound alikes.

[lukeloseth]

you mean you can't recognize John Lennon's voice?? this is 'across the universe', written and performed by the Beatles. it's an alternate version because it's from the album Let It Be... Naked, which remixed all the songs to get them closer to the Beatles' original vision. wikipedia it.

[xXKariBananaXx]

It looks like a face at 00:12.

[NetRolller3D]

Isn't it Jack Sparrow, the famous pirate?

[BarrykeNL]

Looks like the animatrix budha and msn-icons from 2:00 out

[BarrykeNL]

@3:00: WOW! Like Matrix machinevision deluxe 2008.

[deathbytray123]

with some tiny new ideas there are always to find incredibly awesome things in the mandelbrot set. nice work.

[Tannerbondy]

Across the Universe This is so neat.

[spiritsurfer]

really cool - what program did you use?

[trode3141]

hello alfa centaury.....please dont come looking for john....just come in peace!

[morelshaman]

Beautiful "3-d" Mandelbrot - but i am puzzled: I thought the magic of the formula arose from the presence of a real axis and an imaginary axis.

Where is the third dimension arising from the Mandelbrot formula?

Can you give a mathematical response or the source for your imaging?

[Lotrean]

I guess he used a quaternion (I think it's called like that). It doesn't have i as an imaginary unit, but rather 3 of them, that are in some kind of relation. Google it, you can find something...

[indigofuzzy]

Breathtakingly beautiful.

"Mathematics reveals her secrets only to those who approach her with pure love, for her own beauty."
--Archimedes

[mike4ty4]

Question for the author:

Is this the same thing as the JuliaBrot, another 4-dimensional fractal? Or something else? The JuliaBrot is like the Mandelbrot except both the starting point z0, not just the iteration constant c, are chosen for each point to test. Also, how long did it take to render this, and what program was used?

[capstoned]

Wow! Never seen MSet 3D from a distance like that. Beautiful. What Frac Prog do you use? Can you rotate gradients while you move? -Love it

[Envergure]

Cool. Too bad you can't really represent four dimensions on two. Maybe next time have a time dimension so only three have to be there physically.

[mike4ty4]

"

Cool. Too bad you can't really represent four dimensions on two. Maybe next time have a time dimension so only three have to be there physically. "

Why does it have to be accurate? It still looks quite neat, anyways. But the time thing would be cool, have it "morph" in strange ways...

[lysergicwindow]

Top one... Love it! Many, many thanks for the post...

[meb025]

HHHOOOTTTT!!!!!

[albertlobo1981]

Creator's comment part 2.

Note that the Mandelbrot/Buddhabrot does not have four spatial dimensions -it doesn't even deal with physical space to begin with! It's just that, when you render it, it can be interpreted as a 4D physical entity. That's just a means to get a handle on this mathematical concept and effectively represent it as an image -a beautiful image.

In plain words, a fractal image is one that contains infinite copies of itself at different points and scales...

[albertlobo1981]

Creator's comment part 1.

Hi everyone!

The Buddhabrot is just another way to render the Mandelbrot set, and it's called like that because it resembles some depictions of Buddha.

All four dimensions are spatial -no time dimension involved-; watch the axes of coordinates (top-left): at certain points (the 4D rotations), there appear 4 axis (Zr, Zi, Cr, Ci), one for each dimension. Check your regular search engine for more info on the BBrot & 4 dimensional objects.

[nitorres]

the music is distracting - takes away from the visual experience. i liked it otherwise....

[kaminari66]

Although I'm not an expert, from what I understand fractals are computer-generated images based solely on mathematical algorithms. It's like the beauty in math. Or something like that.

[Jacques8]

Yep. It's the Mandelbrot set. 'Buddhabrot' is a play on words. It's 4-D because it's a three dimensional image evolving with time. Time would be the fourth dimension.

[iamdisappointed69]

looks incredible, whatever it is...and great music!

but what is a buddhabrot?  and what are fractals? and why are people talking about drugs? i'm confused.

and what makes this thing 4-D?

[aleksandarrodic]

I'm impressed! I'm in love with fractals from now on.

Thank you.

[bluesrunthegame]

I've just seen God.

[tonystringy]

"i need more than 5 stars. never seen anything like this before"

Really?

-You should try triptomines. I hear DMT is pretty good. I've only ever used psilocybin (hand-picked mushrooms in the form of liberty caps).

[Djomigod]

I need to know who you are--- this is amazing

[Ahknaton]

This is totally amazing!

[eatty]

Cool video. Good music.

[tonystringy]

Nice work....Thanks! I thought the music was very appropriate. I believe the whole Cosmos is fractal. -Don't have to formula to hand though. :-)

[JohnnySvensson]

simply stunning 4d buddahbrot..

the music doesnt make the buddahbrot rendering justice imo, but still awesome..

[Phantamage]

I like the music, but can seem to get this to play after embedding it. Other than that, I'm like vwr... - Can't find enough stars!

[avelione]

change the music! ;p

[curtees777]

trippin and this is fucking fantastic!!!

[vwr0527]

i need more than 5 stars. never seen anything like this before