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I had to look up infinite polyhedrons on Wikipedia to wrap my head around them, and it still took a minute. They're just polyhedrons with an infinite number of vertices/edges/faces. (The picture of a mucube in the video is actually just one section; imagine that pattern tiled through all of 3-D space, and you've got the full mucube.)
The image shown at 14:24 is not a golden spiral, but an approximation to the golden spiral. It’s also worth noting that many of the common examples of the golden spiral are either not golden, not spirals, or not logarithmic. The golden ratio tends to appear in plants as the optimal value for problems like seed packing or light absorption. It’s important because it’s the “most irrational number”, meaning that a line of slope phi is as distant as possible from integer coordinates.
I feel like it would be way nicer if the symbol for Tau and Pi were swapped. One has two vertical lines, one has one, make them equivalent to the number of Pi you can fit in each.
The Golden spiral that the general public knows about was not generated from the logarithmic spiral. It's just a bunch of arc circles of different sizes joined together. They're different. Also, for some reason you only showed a tiny portion of the Burning Ship fractal instead of the entire fractal.
You mean the Fibonacci spiral? What gives you the impression that the general public even knows about the specific construction of that spiral, and that they somehow believe it's called the golden spiral instead? As for the Burning Ship fractal, I'm not really sure what you're talking about. It seems like the whole thing to me.
@@isavenewspapers8890 Okay. I seem to have mistaken the Fibonacci spiral and the Golden spiral. The Golden spiral is a logarithmic spiral, while the Fibonacci spiral is the arc circles one. Apologies. However, as for the Burning Ship fractal, I am confident the one shown (in the actual video, btw, not the thumbnail, which is actually the full fractal) is only a tiny part of the whole thing. How? Notice the horizontal line on the base. The actual whole fractal only has the line on its stern section (which eventually terminates at x = -2), not on its bow section as well. The mini version of it on that line at x = -1.7549, however, does have that line on both sides.
Imagine a mu(3-torus), where you can go infinitely in some directions, but anything going in other directions vanish without a trace, and there isn't a way to tell them apart.
I built a section of the mu cube with modular origami. I had to cheat so it ended up with lots of tape. I also built a 2-torus with modular origami. If anyone gets me an extra dimension, I'd gladly make a 3-torus. And I made a low resolution scatter plot of the mandelbrot set in a spreadsheet by testing randomly generated points.
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Can you tell me which software you use to make your videos?
@alien3200 premier pro
3:03 "The number of radians in a full turn is 2π also known as tau."
Liked for usage of tau.
Holy hell, it's like UA-cam knows what I'm into.
WHAT
That's called UA-cam Algorithm
Same
No fucking way
Cause it does
Last time I was this early, people were still trying to square the circle
What?
Being trapped in a mucube would be terrifying.
I had to look up infinite polyhedrons on Wikipedia to wrap my head around them, and it still took a minute. They're just polyhedrons with an infinite number of vertices/edges/faces. (The picture of a mucube in the video is actually just one section; imagine that pattern tiled through all of 3-D space, and you've got the full mucube.)
the burning ship fractal is so pretty
Outrageous, thanks
yeah im subscribing
The image shown at 14:24 is not a golden spiral, but an approximation to the golden spiral.
It’s also worth noting that many of the common examples of the golden spiral are either not golden, not spirals, or not logarithmic. The golden ratio tends to appear in plants as the optimal value for problems like seed packing or light absorption. It’s important because it’s the “most irrational number”, meaning that a line of slope phi is as distant as possible from integer coordinates.
I feel like it would be way nicer if the symbol for Tau and Pi were swapped. One has two vertical lines, one has one, make them equivalent to the number of Pi you can fit in each.
The Golden spiral that the general public knows about was not generated from the logarithmic spiral. It's just a bunch of arc circles of different sizes joined together. They're different.
Also, for some reason you only showed a tiny portion of the Burning Ship fractal instead of the entire fractal.
@@alexanderbudianto7794 one out of 2 actual comments
You mean the Fibonacci spiral? What gives you the impression that the general public even knows about the specific construction of that spiral, and that they somehow believe it's called the golden spiral instead?
As for the Burning Ship fractal, I'm not really sure what you're talking about. It seems like the whole thing to me.
@@isavenewspapers8890 Okay. I seem to have mistaken the Fibonacci spiral and the Golden spiral. The Golden spiral is a logarithmic spiral, while the Fibonacci spiral is the arc circles one. Apologies.
However, as for the Burning Ship fractal, I am confident the one shown (in the actual video, btw, not the thumbnail, which is actually the full fractal) is only a tiny part of the whole thing. How? Notice the horizontal line on the base. The actual whole fractal only has the line on its stern section (which eventually terminates at x = -2), not on its bow section as well. The mini version of it on that line at x = -1.7549, however, does have that line on both sides.
Imagine a mu(3-torus), where you can go infinitely in some directions, but anything going in other directions vanish without a trace, and there isn't a way to tell them apart.
2:35 ish piano piece is sibelius etude no 76 op 2
1 hour gang
GET OUT!!!+
Me
I didn’t notice
@@hillabwonSbruh we dont need kids
@@NoobplaysMC2009 yeah thats why i said that
I built a section of the mu cube with modular origami. I had to cheat so it ended up with lots of tape. I also built a 2-torus with modular origami. If anyone gets me an extra dimension, I'd gladly make a 3-torus. And I made a low resolution scatter plot of the mandelbrot set in a spreadsheet by testing randomly generated points.
Put golden spiral without SBR reference is annoying for me 🗿
early bird gets the worm
Youre getting away for bekng creative
@@hillabwonS
Tihs si a veyr ceartive cmometn
@@Rando2101 having bad grammar isnt creative guh
@@hillabwonS isn't*
What if you cut a Mu into a half, ad two Pi/2 radian tubes to fit each side together, whats that?
10:50
This is true, assuming o = 0.
9:08 why does the photo look like a liminal space
ur starving
Jeez I'm early
GET OUT!!!
here
Dam i really was not expecting the burning ship fractal to look like that. Looks like some shit out of Evagelion
13 hour gang
too bad a sponsor means i just skip to someone elses video
but u do leave a comment behind before skipping?
Youre a bitch, they need money to keep making these videos dumbass, you cab skip the sponsor
@@ThoughtThrill365 Yeah are we not allowed to comment?
no, if u skip the video xD