ImmersiveAmbientModecolor: #f9fa07 (color 1)
Video Format : 22 (720p) openh264 ( https://github.com/cisco/openh264) mp4a.40.2 | 44100Hz
Audio Format: Opus - Normalized audio
PokeTubeEncryptID: 97e7b225dc726297f57ab6b1288f16504e8f657f9607d866a43799e697eb5531a69e37673e35cda1ff93dcde4ade1d1f
Proxy : tube-proxy.poketube.fun - refresh the page to change the proxy location
Date : 1714186507396 - unknown on Apple WebKit
Mystery text : bzFlTEtPRFNDcXcgaSAgbG92ICB1IHR1YmUtcHJveHkucG9rZXR1YmUuZnVu
143 : true
581,250 Views ā¢ Feb 23, 2020 ā¢ Click to toggle off description
More links:
Interactive circle designs by towerofnix: www.khanacademy.org/computer-programming/spin-off-ā¦
On-Line Encyclopedia of Integer Sequences: oeis.org/
Fibonacci Sequence (A000045): oeis.org/A000045
List of Pisano Periods (A001175): oeis.org/A001175
PICTURE CREDITS
Lewitt, Sol. "Wall Drawing #33." 15 bytes. Artists of Utah, Kiki Karahalios, 27 Feb. 2019, artistsofutah.org/15Bytes/index.php/43029/.
Lewitt, Sol. "Wall Drawing #51." MASS MoCA. n.d., massmoca.org/event/walldrawing51/.
Lewitt, Sol. "Wall Drawing # 1115." Rice University News and Media Relations. Katharine Shilcutt, Estate of Sol Lewitt / ARS, 1 Nov. 2019, news.rice.edu/2019/11/01/rices-glasscock-school-to-display-sol-lewitt-drawings/.
u/julekca. "[OC] Blade Runner 2049..... represented by 1600 captures of the movie. Each of these is resized to 1px wide and extracted with the same time interval." r/dataisbeautiful. Reddit, c. Oct. 2019, www.redlib.matthew.science/r/dataisbeautiful/comments/d7nw9p/oc_blade_runner_2049_represented_by_1600_captures/.
VIDEO CREDITS
"Fibonacci Mystery." YouTube, uploaded by Numberphile, 18 Sep. 2013, Ā Ā Ā ā¢Ā FibonacciĀ MysteryĀ -Ā NumberphileĀ Ā .
"The Golden Ratio (why it is so irrational)." YouTube, uploaded by Numberphile, 8 May 2018, Ā Ā Ā ā¢Ā TheĀ GoldenĀ RatioĀ (whyĀ itĀ isĀ soĀ irrati...Ā Ā .
"Times Tables, Mandelbrot and the Heart of Mathematics." YouTube, uploaded by Mathologer, 6 Nov. 2015, Ā Ā Ā ā¢Ā TimesĀ Tables,Ā MandelbrotĀ andĀ theĀ Hear...Ā Ā .
MUSIC
Used with permission:
Yombai - Karmic Tea
Licensed under Attribution 3.0 Unported (CC BY 3.0) creativecommons.org/licenses/by/3.0/:
- Louigi Verona -
Window in the Sky (parts 3 & 5, edited)
Mirrors
Patterns on a Silk Cloth Lit by the Morning Sun that Reflects off of a Newly Printed Map of Australia
Silk Companion
Licensed under Creative Commons CC-BY 4.0 creativecommons.org/licenses/by/4.0/:
- Seclorance -
Xinachtli
Autumn (Still Life)
Views : 581,250
Genre: Science & Technology
Date of upload: Feb 23, 2020 ^^
Rating : 4.957 (234/21,316 LTDR)
RYD date created : 2022-04-04T10:47:49.199415Z
See in json
YouTube Comments - 870 Comments
Top Comments of this video!! :3
This is a hidden gem.
395 |
I donāt know why Iām getting this as a suggested a year later but I aināt complaining
417 |
6:18 This mod 10 design was brought to you by, brilliant
31 |
Iām an artist and have been focused on rotating objects and the visualization of mathematical patterns for my entire life. The information in this video absolutely provides the most inspiring information Iāve ever come across, thank you!
58 |
Hi. I discovered these exact patterns a few years back and it feels strangely validating to have someone else discover them too. I would like to be the first to have discovered these things but that's highly unlikely since there's nothing new under the sun. Let me recommend that you stop limiting the periods to bouncing within a circle and give them the angles of a triangle or a pentagon or a hexagon. Whatever polygon you like. You will see some very beautiful and awesome line designs, there's one that even looks like a profile of a brain. It's fascinating. Also, I used a different kind of modulo that does not allow zeroes to be produced, I guess you could say it is an 'inclusive modulo' since it produces the dividend if the divisor fits exactly. Be careful though, you may lose many many hours watching the designs produced:D
126 |
I bet this video will inspire a lot of tattoos in some math enthusiasts around the globe
32 |
5:30 When you just want to do mathematics but accidentally start summoning a demon.
87 |
Any way add a third dimension? It would be interesting to see some of the irregular designs in a sphere.
169 |
9:42 It contains 1, 3, 7, and 9 because the chosen mod is 10. Except for two and five, all of these numbers are coprime with tenābecause primes are necessarily coprime with every number that isn't a multiple of themselves. Two and five are the only exceptions because they are the factors of ten.
54 |
10:14 I actually used this framework a couple years ago to solve an interesting puzzle I came across at a conference: āarrange the digits 1 through 16 so that every pair of digits sums to a perfect square.ā I used this visitation method to find other sequences of digits, 1 to n, for which this is possible, and their respective solutions. Turns out theyāre connected to Pythagorean triples, and the visitation of all possible sequence of digits makes nice parallel lines.
66 |
This is one of the most interesting, math related videos I've seen in a while. I love these types of math visualizing videos, so I hope you continue making them!
5 |
I slightly chuckled when I saw the words "Pisano period" was written in red text over a yellow background.
I will never grow up.
59 |
Hi Jacob. I found some interesting ones.
Just woow:
For mod = 675
and every [fib+fib] * 947
with a fib start position of 6,7
Butt/Mushroom:
For mod = 2529
and every [fib+fib] * 2
with a fib start position of 0,1
eye:
For mod = 2529
and every [fib+fib] * 2
with a fib start position of 2:2
Infinity mandala:
For mod = 376
and every [fib+fib] * 2
with a fib start position of 2:2
Regular mandana:
For mod = 688
and every [fib+fib] * 662
with a fib start position of 2:8
I also made an online demo where everyone can experiment with values I tried linking it before but it didn't work, will now try in the reactions of this comment.
42 |
First thing in my recommended after waking up in the morning. I absolutely loved the style and message of it. Looking forward to seeing more beautiful productions like this.
12 |
Love that you had the Lateralus reference in there at 10:23. Great job. Thank you.
4 |
0:50 the mandalas - I love how the even numbers have a centerpoint, while the odd numbers have a center area/polygon. I never realized that until now, thank you.
2 |
The pedagogical outlook expressed in the introduction actually hooked me.
Multiple/alternative modalities, recognition of many possible representations, lovely! Math content that treats students as curious humans rather than the "show your work" automata i recall from my school days.
|
This is excellent both in concept and execution, thank you. Iāve been drawing patterns like these for years but without any sophisticated math(s) underpinning. I will be experimenting with the generative sequences you have described so clearly.
34 |
Yes! This is exactly the type of math visuals I have been sketching for some time now, mostly experimenting with star polygons. I'm so happy this was recommended to me. Great work, you have opened me up to new knowledge!
7 |
@jacobyatsko
11 months ago
Some notes and responses to common questions: - The video was made using Adobe Illustrator and After Effects. I would not recommend doing a similar video this way, as it requires laying out every shot perfectly beforehand and animating every line more or less individually, rather than relying on a coding background (I have basically none) and a program that could simply generate the animations instead. A drawback of the way I did it is stuff like the missing line in the decagon that people have pointed out at 0:50. - Despite looking similar, I assure you there's no connection between the 10 graph and the Brilliant logo :D. (Also, what do we call these images? Designs? Graphs? Patterns? Symbols? Let me know what you think) - Could this be done in 3D? I'm not exactly sure. You could pick a point on the sphere to start, but how do you go about distributing the rest of the points on the sphere, in a regular pattern? It's easy to do it with a circle because you just go around the circle. But with a sphere, you have to choose between two axes of movement. - Thanks to everyone who reassured me that the mod operation can apply to fractions as well as integers!
75 |