So, I've been following you for a couple months now. I put these videos on my tv while I clean or am on my computer... so I have seen quite a few of them. This is easily one of my absolute favorites. The colors, the symmetrical elements, the music. Everything is just phenomenal. Great work and thank you. Octobrot is gorgeous and my favorite so far and that is saying alot as I have really enjoyed the journey so far! Hopefully some time in the future you can take us on another dive into Octobrot!
breathtaking! I would like to get to know how Maths Town succeeds to compute and create such wonderful itinerations/images....amazing!!!! Thank you so much for your work!!
This stuff is part of why I want to study complex mathematics. The idea that math and formulas- something humans defined through deep thought- could explain patterns of life in the universe is baffling and profound.
Yo mathsy, perhaps you would mix some layers of multiply and difference the colors, to add entire 5gb files of yours into UF tyle layers, only with zoom. i do it in shotcut/filters/blend mode/additive/multiply
Yes, it is odd. The Mandelbrots (and minis) are always 1 less symmetry than the embedded Julia Sets. You'll notice this in all of the higher power videos.
@@zfloyd1627 Consider that there has to be a path from the main bulb starting through a series of bulbs to reach the tip. It’s easiest to see with an odd-power set, e.g. n=3. Note that each bulb has two big bulbs attached. There is no straight path to a tip; you _have_ to choose left or right, again and again. Going straight only leads to a cusp. Forget the fact that the power is 3. Just see that it isn’t possible to go straight when you have two options, so get that unnatural idea of going straight out of your head. So what _do_ you do? You express a number that’s round in base n (e.g. 1/8 when n=8) in base n-1. 1/8 in base 7 is .060606 repeating. What that translates to is that you take a path across the rightmost (0=first) and then leftmost (6=seventh) bulb and then rightmost again, etc. That does indeed lead to the first big tip, 1/8 of the way around. 2/8 in base 7 is .151515 repeating. Indeed, alternating between the second and sixth bulbs leads to the next big tip. All this works regardless of the power of the set. I can’t explain why external angles work like this (maybe something to do with a bulb being counted among its descendants), but hopefully you can see that this ‘broken’ symmetry actually makes more sense.
Did you write this yourself? If so how did you go about finding the perturbation formulas? I've only ever seen them for the Mandelbrot set, but without any real insight to how they got this formula
So, I've been following you for a couple months now. I put these videos on my tv while I clean or am on my computer... so I have seen quite a few of them.
This is easily one of my absolute favorites. The colors, the symmetrical elements, the music. Everything is just phenomenal. Great work and thank you.
Octobrot is gorgeous and my favorite so far and that is saying alot as I have really enjoyed the journey so far!
Hopefully some time in the future you can take us on another dive into Octobrot!
Haha! I was also the 100th like for the video and 0 dislikes so far xD
Thanks for what you do and not talking about all the bs going on in the world💜
Very relaxing music for this one... a meditative complement to the always stunning visuals. As always, thanks for sharing!
Wow, liked the color patterns and the rainbow spirals!
breathtaking! I would like to get to know how Maths Town succeeds to compute and create such wonderful itinerations/images....amazing!!!! Thank you so much for your work!!
Already downloaded,another trip to perfection,deepest thanx.
There's something about the 'symmetrical asymmetry' here that's fascinating. I can't verbalize it, but it's very beautiful!
Just wanted to say thank you again, as somebody whos to poor to afford programrs on pc that can do thi, ILY!
Love the 8 ❤️
Crazy good✨Beautiful colors🙏✨
Very nice, like psychedelic spiders
wow, this is amazing, i love it!!
Great artist and beautifull music!
10:08 - onward
just..... wow.
This stuff is part of why I want to study complex mathematics. The idea that math and formulas- something humans defined through deep thought- could explain patterns of life in the universe is baffling and profound.
Ty.i share
Yo mathsy, perhaps you would mix some layers of multiply and difference the colors, to add entire 5gb files of yours into UF tyle layers, only with zoom. i do it in shotcut/filters/blend mode/additive/multiply
8!
yes
I
I don't understand... Everything has symmetry 8, until the last frame where there is symmetry 7???
Yes, it is odd. The Mandelbrots (and minis) are always 1 less symmetry than the embedded Julia Sets. You'll notice this in all of the higher power videos.
@@MathsTown can you explain why that is? (I kinda understand, but I don't know how to explain it).
@@zfloyd1627 Consider that there has to be a path from the main bulb starting through a series of bulbs to reach the tip. It’s easiest to see with an odd-power set, e.g. n=3. Note that each bulb has two big bulbs attached. There is no straight path to a tip; you _have_ to choose left or right, again and again. Going straight only leads to a cusp. Forget the fact that the power is 3. Just see that it isn’t possible to go straight when you have two options, so get that unnatural idea of going straight out of your head.
So what _do_ you do? You express a number that’s round in base n (e.g. 1/8 when n=8) in base n-1. 1/8 in base 7 is .060606 repeating. What that translates to is that you take a path across the rightmost (0=first) and then leftmost (6=seventh) bulb and then rightmost again, etc. That does indeed lead to the first big tip, 1/8 of the way around. 2/8 in base 7 is .151515 repeating. Indeed, alternating between the second and sixth bulbs leads to the next big tip. All this works regardless of the power of the set.
I can’t explain why external angles work like this (maybe something to do with a bulb being counted among its descendants), but hopefully you can see that this ‘broken’ symmetry actually makes more sense.
@@EllipticGeometry you made multibrots way more interesting to me.
Did you write this yourself? If so how did you go about finding the perturbation formulas? I've only ever seen them for the Mandelbrot set, but without any real insight to how they got this formula
My eyes.
Very 60s psychedelic. Ornate, cartoony and boggling.
❤️🌞
Brain cells
Drop the pastels.
💖💯😎😵⭐⭐⭐⭐⭐👍🏍🏍🏍🏍🏍🏍
Dur rrup?
1:23 error
It's a huge one too.
🍭
First to comment!