Real-life fractal tree zoom
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- Опубликовано: 31 май 2024
- 3D print supplied by JLC3DP. Check them out at jlc3dp.com/?from=henry to let them know you came from my video.
Fractal Tree No. 2, by Robert Fathauer.
www.robertfathauer.com/Fractal...
Copyright 2007 Robert Fathauer, used with permission.
3D file (good luck printing this on a filament based printer!): www.printables.com/model/6887...
00:00 Trees and fractals
00:43 Robert Fathauer's fractal tree
01:14 Previous fractal zoom
01:35 3D printed tree
01:50 Pulling focus rant
03:31 Improved scaling factor
04:13 Geometry of the branch
05:19 Screw mount
05:51 Fractal tree zoom
06:42 JLC3DP ad
07:10 Fractal Christmas tree zoom
![Roddy Ricch - Survivors Remorse [Official Music Video]](http://i.ytimg.com/vi/J5IeFzr2GgE/mqdefault.jpg)
For me, it's actually easier to tell that the tree is zooming in the shot where the base is visible and the bigger chunk of the tree vanishes. Otherwise, because of the self-similarity, it kinda just looks like the camera is moving around the tree.
agreed. it doesnt look like we are seeing a smaller portion, just the other side
I have a feeling that's the reason he showed that version of the zoom.
It doesn't look like either a zoom or a rotation to me. It just looks impossible lol.
which is even cooler
Ditto. This one just looks like a continuous rotation. The other one was far better in concept. The previous fractal design is the winner, just need to back down at least one detail level so the closest and furthest shots don’t look so drastically different that it snaps you out of the zoom. You go from seeing clean details to mushy detail on each loop.
It's so interesting that the zoom is relegated to be super-subtle as the perception of the rotation outweighs it by a large margin.
i'm amazed at how well the lasers hid the cut in the last shot, that's awesome! also, it was well worth the effort of fixing the focus on the cube fractal. looks so much better!
The fractal zoom into the pyramidal structure with focus control is very good indeed. It is a serious effort to identify the place where the end and beginning are merged. Thank you for going to all that trouble!
It's still not perfect. I belive the issue is that the fixed aperture size means that the depth of field apears to shrink every time it merges. That would be even more of a nightmare to fix than the focus issue.
\begin{rant} ? Looks like we've got a LaTeX user here lol
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Well yeah, he's in academia, is there really another choice?
@@punkdigerati now we have Typst ;)
I'm already having nightmares of having to unpack that model from the powder cake... *eye twitch*... You always find the most interesting ways to push our printers to the limits ;) (But seriously always great when new models of yours turn up)
This loop gives me the nostalgic feeling of looking at 90's screensaver.
I use matrices in my daily life, but I just now got a real-world use for eigenvectors!
Also useful for finding vibrational modes
Always a joy to see the work of someone who cares to bring those extradimensional views of mathematics to us all!
the issue with the tree is that the illusion doesn't work
it just looks like the tree is endlessly rotating without ever zooming in
3:30 Modern focus by wire systems actually include acceleration most of the time, so changing focus faster means changing it by more than going slower even when giving it the same input, at least for the focus ring. I'm not sure if this translates to the software control utility Panasonic has, but if it does at least some Panasonic cameras (and some other brands) have an option buried in the menu to use linear focusing specifically for focus pulling in video
Thanks for taking the time to fix the focus on the old print! This new one is a massive improvement. Quite magical really.
Beautiful! Thanks for taking the time to create such a thorough explanation of the process
This infinite zoom fractal is similar to the feeling of looking at the clouds through the window and feeling like the room is moving. Or when you are sitting and look at a fixed point in a certain way and you have the illusion that the chair is getting high or the illusion of movement. And finally, this resembles an excerpt from the book Shogun by James Clavell. The character John Blackthorne learns a way to relax his mind from the local people which consists of looking at a fixed point that they call watching the stone grow.
Very cool. Fractals are like an inherent property of the universe
i like to imagine a monkey that changes size depending on if he climbs deeper into the fractal tree (climbs upwards)
or climbs down
a monkey size of a pebble starts to rapidly grow as it comes down
It's hard to tell the zoom, It looks like you're spinning a single branch, and occasionally hiding a portion that would occlude view. Having a hard time with this one. heh
For some reason my brain can't process this one, I just see something rotating and it doesn't look like an infinite zoom at all. I found the previous one (even with the focus issues - disregard the haters) much more convincing.
This looks so much better! Great job! The focus on the last video did bother me, but I figured it would be too much work. But congrats on figuring it out!
Serene yet overwhelming effect!
This is very cool! thank you for taking the trouble to do this, and also explain it so well!
My god, props to you for putting in so much effort into hacking the focus shifting
I loved the last fz video and this is a great sequel!
The video already starts with a bang, I have no clue how I never realized that trees have similarities with fractals.
2:43 , 2:52 , etc I like how at specific angles a straight edge forms
Almost a test for being able to tell how good 3D printing technology as become as the line gets sharper and sharper with future prints.
I do wonder if there would also be a way to calculate arbitrary viewing positions to look at such shapes to see a visual-edge.
This is so amazing on so many levels. I
I swear you have some of the most beautiful videos. So glad numberphile introduced me to your channel
an idea for the fractal pyramid is to start further away, crop out the bottom and overlay it on the top of the pyramid to make the fractal transition more seamless.
Fractals are one of those things you just don't wanna step on..
I'm wondering, if you could zoom in deeper you could make the fade transition be longer? if you could zoom in 2 levels so to say you can have a level overlap on each clip and use that as fade buffer. ofc this would probably be a bigger print and more work.
One interesting (perhaps) side effect of this is that you can use small twigs as tree for things like panoramas and model railroads without too much problems.
Exponentially growing happy new year
Nice work bro!
5:30 calling Chris Staecker to look at those KNURLS
Happy holiday's, Henry and everyone else who is reading this. :)
Merry Christmas! ✨🎉🔥😊
Great video!
Such a cool experiment. I wonder if a smaller or cropped sensor combined with a laowa zero-d cine lens and motorized follow focus could solve most of the focus and distortion issues.
Happy holyday too you sir !
Instead of a complete dissolve, can you try a wipe transition with the soft feathered edge, which travels in some way aligned with the motion/rotation? might be less obvious.
Love it.
"use the force harry - gandalf" the festive season edition XD
But where is the zoom on the second tree?? I can only see the 3 D print rotation without any zoom whatsoever. Is there a specific setting one has to make on the phone?
Very cool project! That is one unusual christmas tree. Did the presents under it contain smaller presents?
this is very cool !
Exact superimposition of first/last images seems to be quite hard. Have you considered using a photogrammetric software that could help you measuring the error in camera orientation between the two ?
I hadn't considered that, but my tools for improving the match-up (fiddling with things by hand) are not great. I wouldn't be able to use more accurate information about what is wrong without a much fancier setup.
how did you print it ?
the fractal ?
Fascinating that those raised on CGI are looking for a satisfying loop that represents perfection, or wholeness. The beauty of analog approximation (reality) is no longer representative of the simulated 'natural environment'.
less go another upload
Why was t I told there’s a “hello I’m Henry Segerman” video? Gotta click the bell folks.
this is so trippy
this is nuts
that tree footage doesn't look like a fractal zooming at all. It just looks like the camera is going over the tree.
I think my eyes hurt now.
Happy greetings and season's holidays to you too.
Thank you, Mr. Segerman. You're one of my personal maths heros
HOLY SHIT IVE ALWAYS WANTED TO BE INCLUDED AS ONE OF THOSE COMMENT COLLAGE THINGS
Thank you for making my dream come true
I see you like LaTeX. Mind writing a short PDF about the matrix calculations you did? Would be interested to know more about that 😊
i started laughing hysterically when i saw \begin{rant} xDDD who knows knows
Collab with @corridorcrew to do a morph instead of a crossfade! I don’t know VFX, so I don’t know exactly the difference, but morphs are very smooth. You put so much work into these, it’s a shame the crossfade is the weak link!
Interesting - I haven't looked into morph cuts much, although I suspect that it would be hard to do it well automatically, especially with how complicated the subject is. Presumably a morph cut could be done better with some knowledge of the 3D geometry, but then at some point it starts to feel like cheating... it would have been easier to generate the loop on computer. (Although the lasers might have been hard to simulate.)
@@henryseg I agree, with something like this it gets to a point where you ask “what was the point of doing it IRL?” when adding special effects. But I think there is a big component in just *knowing* that it is a real model in real life shot with a real camera. Like big budget stop motion films (LAIKA studios for example). Coraline has more stop motion charm than later works like Kubo and the Two Strings, but at the end of the day, I think the magic is in the audience feeling like their mind is being blown, and a rough transition detracts from that feeling. I actually wonder if shooting it as a stop motion piece would help with controlling variables. Less finicking with automating real time behaviours. Anyways, I love your work and just feel lucky that you share your ideas and creations with us! So thanks :D
Much less impressing effect than the previous one because as many people already said : we don't really notice the zoom in that one. But still amazing work !
Did anyone notice happy christmas and merry new year?
To actual hell with proprietary interfaces and APIs.
Please dont get offended me asking this -> why are you studying Fractals, you even made your own fractal and you zoomed in, solved so many problems during making it. What was the intention doing all this.
I genuinely want to know, looking for your kind reply.
Thank You.
I did it because as far as I’m aware it hadn’t been done before in real life.
I'm more impressed with the print quality tbh
Self-similarity is not what makes something fractal
Yummy! We ACTUALLY just had cauliflower for dinner 🍽😋
Maybe it would jave bin easier to have camera motion anf focus pull liniar and instead increase the rotation speed of the print. (Don't know if others have suggestet this already though.)
If I did that, I would have had to alter the frame rate of the video afterwards to get a smooth transition.
@@henryseg I see. Hm. What about recording it realy slowly and speed the recording back up to normal speed? That way it would have a way to high frame rate and you could export it with 30fps or so without having to worry about smooth transitions. At least theoretically.
The tree is just spinning. I don’t see the zoom in,
You should probably get a probe lens...
you can do the same thing with a cauliflower
Ah yes, cauliflower
nifty
You're a mathemagician!
you should buy a Bambu lab x1 carbon 3d printer
Alternatively you could stop frame animate it and keep the focus where you want it instead of dealing with perfect auto focusing.
Oh god he said the eigen word my brain is bleeding
its pretty obvious to see the axis of rotation
I nearly commented last time about the focus but didn't want to be a dick.... I also knew how much hassle it would be to sort out! But DAMN! if it wasn't all worth it!
the 3d print is too blurry from up close
fuck propietary software
all my friends on my puter hate propietary software
broccoli
Fractals don't need to be self similar. In fact, most don't.
Double negative endorsement of JLCPCB 🤣
nice
Why not just stop down to f22, long exposure and make a Timelapse, take images instead of video, then the focus issue should be a lot less
In all of these videos I am at f22 the whole time. And I have plenty of light - long exposure is not necessary.
i like turtles
Second
The pyramid was way better, sad to say
Treees are weird
This one isn't as cool
Your video stitching is obvious and bad. yikes
broccoli