Bifurcation Diagram Live Geogebra Build (as seen on Numberphile)

Рет қаралды 5,011

2 жыл бұрын

Live build of the Logistic Map Bifurcation Diagram in Geogebra.
The Numberphile Video is here: • The Feigenbaum Constan...
Veritasium Video here: • This equation will cha...
Geogebra website: www.geogebra.org/
Try building it yourself!
ERROR
At about 01:00 I mention an accumulation point. The point I'm pointing to is NOT known as the accumulation point - rather an accumulation point is the limit of a sequence (e.g. the period doubling that happens from a=3 onwards, and reaches it's accumulation point at about 3.5699...). Sorry for the slip of the tongue!

Пікірлер: 15

@RUBINHO12321 2 жыл бұрын

Your videos using Geogebra are amazing! please make a video explaining the chaos game

@SparksMaths 2 жыл бұрын

It's on my list...

@johnferrara2207 2 жыл бұрын

So glad you made this. I was checking to see if you’d made a ready-built version of the program you developed for the Numberphile video but if I can learn to build it myself (and learn a little GeoGebra) it’s all the better.

@MonsieurBiga 2 жыл бұрын

Your video with Brady was maybe my favorite numberphile video, fascinating subject and very well presented. This is very nice as well.

@Bunnokazooie 2 жыл бұрын

This is such a powerful tool! Thank you for making these examples

@metamorphiczeolite 2 жыл бұрын

I love this. Thanks for sharing it.

@TesserId 2 жыл бұрын

I so should have learned GeoGebra a long, long time ago.

@TesserId 2 жыл бұрын

11:25 "Doesn't look great." I don't know. Looks like fireworks to me. 🎆🎇🎆🎇🎆🎇🎆🎇🎆🎇🎆🎇🎆🎇🎆🎇

@mpadlite2925 2 жыл бұрын

Thanks for another great video, both entertaining and instructive. I actually managed to follow along and hack out "the gist" of it on my old "chinesium phone"...Unfortunately even the smallest dots gave a pretty "muddled" end result, but it was still neat to see the patterns emerge. As always looking forward to Your next video. Best regards P.S. You don't have to convince "Y.T Viewers" how important it is to be "FIRST", that is apparently something that is "a well established fact" here ;)

@bogdantrica9464 2 жыл бұрын

Thank you for another great video! It feels great to build it step by step in geogebra. How about a video on building the dragon fractal (of which i am very fond of)? Cheers!

@TomLeg 2 жыл бұрын

Both the bifurcation and the mandelbrot slice show ephemeral inner curves. i.e., they aren't really there, but our eyes pull some points into the illusion of a curved line. Is there a way to specify those curves? Would be interesting to use for audio panning or similar effects in audio synthesis! Also, the similarity of the bifurcation ad slice makes me wonder whether the bifurcation can be expanded into a two-dimensional variation, perhaps by using complex numbers?

@SparksMaths 2 жыл бұрын

I think the mandelbrot set is almost exactly a 2d complex variation, but where the stability is used to plot rather than the actual "orbits". Will try to pick up on this in a Mandelbrot build video...

@TesserId 2 жыл бұрын

Eeek, I get to color the internal cycles in my Mandelbrot code???? Will be looking for the one doing this for complex numbers.