When I saw Geogebra for the first time I knew it could do very impressive things. But when I saw your videos in Numberphile, I was so impressed I searched a video on how to use the program like that. Then, to my surprise, you made this video! Thank you very much! Keep up the good work and the awesome animations!
Oh man this was beautiful! And very well explained. Very happy to hear that the mandelbrot set is coming! Cant wait. I've watched your videos on numberphile a few times each. Mesmerizing!
great vid. i came here cos i love the music of the original vid. and the visuals are obviously stunning. this is where you get to have a tinker. thank you.
I saw the numberphile episode a while back and I was hoping I'd find the way you created it, so thank you for taking the time to make this!! I've been absolutely captivated with trying to understand everything about this concept ever since seeing the other video. One thing I was wondering about.. if you change the Mod from 1 (1 rotation = 1) to any n+1 how does that change it? I have yet to build one but this video is going to help tremendously.
Really nice to see! Geogebra does seem like a program you use only after having given the Gods a sacrifice. I get nervous when windows popping around may crash a program. :)
thanks for this, i've followed along in geogebra & now i want to make some changes... i want to give geogebra a list of irrational numbers - phi, 1/pi, 1/e, 1/root 2 - and modulate the speed of the animation so that it slows down near these numbers...
Nice idea. You'll need to create a formula which takes the current rotation amount, and spits out a speed. If the rotation is within a small fraction of a target value reduce the speed. (Set the speed of the slider to be this function output). Details need working on still!
@@SparksMaths yeah I was thinking along those lines, I'm coming from pure data and in pd I would create an LFO, low frequency oscillator, not that that really solves this issue but I wonder if an LFO is even possible in geogebra...
i used the dot and comma keys to go forward and backward one frame at a time and noticed that the animation (at least at 19:17 ) seems to stay for 3 frames, the webcam changes somewhat independently from that. some frames only the animation, and some only the webcam changes, some nothing. so maybe you recorded the screen at a framerate other than 60Hz?
I would really like to understand why/how the square root of n (the seed number) seems to be the perfect polar distance (radius). Why the square root? In what other ways are square roots so beautiful? My name is Freeman. I have a decaying undergraduate degree in mathematics (and one in civil engineering).
You should work with a few artists and musicians to create shorts. Much more potential than kaleidoscopes. Just program with some color and tunes. AI CGI program that interprets music into colored animations and patterns more complex than other music visualizers would be great for planetarium shows or anywhere people want to project images.
I'm contemplating a spirally themed video discussing the various types... but clearly the names are overlapping in my head. Glad to know it's not just me!
I don’t have your GeoGebra skills (yet) but I wonder how this would look, if primes (point #2, #3, #5, #7, …) would be highlighted in another color? I once wrote a little Python program with a GUI on my iPad Pro within Pythonista that explores numbers and primes on a spiral: ua-cam.com/video/u0cr_gjMIyE/v-deo.html 😉
Hey Ben. Just wanted to say that I've enjoyed these Geogebra build videos a lot. Can't wait to see more, cheers!
Wow, I am amazed that you achieved this with 3 variables.
When I saw Geogebra for the first time I knew it could do very impressive things. But when I saw your videos in Numberphile, I was so impressed I searched a video on how to use the program like that. Then, to my surprise, you made this video! Thank you very much! Keep up the good work and the awesome animations!
Oh man this was beautiful! And very well explained. Very happy to hear that the mandelbrot set is coming! Cant wait. I've watched your videos on numberphile a few times each. Mesmerizing!
Nice one Ben. Fascinating! Thanks for making this.
I adore this so much that my mathematics undergraduate project topic is about the phyllotaxis of sunflower heads. Thanks for inspiring me.
I’m so grateful that you shared this. And yeah, it’s hard to look away from the animation.
great vid. i came here cos i love the music of the original vid. and the visuals are obviously stunning. this is where you get to have a tinker. thank you.
Geogebra is so sick
Chills! Sounds good too I'm excited! This enjoyable scenes! Uploads Cool! Well done.
I saw the numberphile episode a while back and I was hoping I'd find the way you created it, so thank you for taking the time to make this!! I've been absolutely captivated with trying to understand everything about this concept ever since seeing the other video. One thing I was wondering about.. if you change the Mod from 1 (1 rotation = 1) to any n+1 how does that change it? I have yet to build one but this video is going to help tremendously.
Joining the choir. I will pass this on to others. And then they'll chime in as well.
Thanks Ben... good stuff. Some very helpful commands and shortcuts in there.
Really nice to see! Geogebra does seem like a program you use only after having given the Gods a sacrifice. I get nervous when windows popping around may crash a program. :)
thanks for this, i've followed along in geogebra & now i want to make some changes... i want to give geogebra a list of irrational numbers - phi, 1/pi, 1/e, 1/root 2 - and modulate the speed of the animation so that it slows down near these numbers...
Nice idea. You'll need to create a formula which takes the current rotation amount, and spits out a speed. If the rotation is within a small fraction of a target value reduce the speed. (Set the speed of the slider to be this function output). Details need working on still!
@@SparksMaths yeah I was thinking along those lines, I'm coming from pure data and in pd I would create an LFO, low frequency oscillator, not that that really solves this issue but I wonder if an LFO is even possible in geogebra...
and also, thanks for the reply x
i used the dot and comma keys to go forward and backward one frame at a time and noticed that the animation (at least at 19:17 ) seems to stay for 3 frames, the webcam changes somewhat independently from that.
some frames only the animation, and some only the webcam changes, some nothing.
so maybe you recorded the screen at a framerate other than 60Hz?
Interesting. Screen recorded at 60fps but no guarantee geogebra is keeping up with that!
i want to watch a 10 hour version of just the animation. can i watch this somewhere?
www.geogebra.org/m/YThycjQK#material/T8eKzDu5 Click start animation and sit back.
I would really like to understand why/how the square root of n (the seed number) seems to be the perfect polar distance (radius). Why the square root? In what other ways are square roots so beautiful?
My name is Freeman. I have a decaying undergraduate degree in mathematics (and one in civil engineering).
Can you please create a video on geogebra and Javascript. . . How to use Javascript commands in Geogebra.
You should work with a few artists and musicians to create shorts. Much more potential than kaleidoscopes. Just program with some color and tunes. AI CGI program that interprets music into colored animations and patterns more complex than other music visualizers would be great for planetarium shows or anywhere people want to project images.
I made that same error of calling Fermat spirals Euler spirals last week. Very vindicating.
I'm contemplating a spirally themed video discussing the various types... but clearly the names are overlapping in my head. Glad to know it's not just me!
I don’t have your GeoGebra skills (yet) but I wonder how this would look, if primes (point #2, #3, #5, #7, …) would be highlighted in another color? I once wrote a little Python program with a GUI on my iPad Pro within Pythonista that explores numbers and primes on a spiral: ua-cam.com/video/u0cr_gjMIyE/v-deo.html 😉