For people who liked the video I'd recommend videos about the Mandelbrot set on the Numberphile channel. I really do think that more people should be taught about stuff like this in math, because...
For people who liked the video I'd recommend videos about the Mandelbrot set on the Numberphile channel. I really do think that more people should be taught about stuff like this in math, because it's so incredibly interesting it. Less people would think math is boring if they saw more of fractally stuff.
Also for people who like programming, I'd recommend trying to program for example the Mandelbrot set and messing around with it. It is very fun and interesting to explore fractals by programming :).
Incredible. I'm not a mathematician at all, but I've seen the bifurcation diagram before (related to population growth) and it's extremely surprising. I've loved the Mandelbrot set ever since...
Incredible. I'm not a mathematician at all, but I've seen the bifurcation diagram before (related to population growth) and it's extremely surprising. I've loved the Mandelbrot set ever since reading James Gleick's Chaos and getting a Mandelbrot plotter that had colour gradient with palette changing - on and old, old, old PC. Also mind-bending.
To see they're related like this though is as stunning as first seeing Euler's identity.
Am also not a mathematician (or even someone who is particularly good at maths!)... but yeah, that rotated 3D representation of the Mandelbrot set, which showed its relationship to the logistic...
Am also not a mathematician (or even someone who is particularly good at maths!)... but yeah, that rotated 3D representation of the Mandelbrot set, which showed its relationship to the logistic map, was truly mindblowing to me as well. And the seeming ubiquity of the bifurcation patterns shown in the logistic map in nature also reminded me of the Golden Ratio too. I may not totally understand it all at the technical level, but even so I can't help but appreciate the beauty of it all despite that. :)
For people who liked the video I'd recommend videos about the Mandelbrot set on the Numberphile channel. I really do think that more people should be taught about stuff like this in math, because it's so incredibly interesting it. Less people would think math is boring if they saw more of fractally stuff.
Also for people who like programming, I'd recommend trying to program for example the Mandelbrot set and messing around with it. It is very fun and interesting to explore fractals by programming :).
Incredible. I'm not a mathematician at all, but I've seen the bifurcation diagram before (related to population growth) and it's extremely surprising. I've loved the Mandelbrot set ever since reading James Gleick's Chaos and getting a Mandelbrot plotter that had colour gradient with palette changing - on and old, old, old PC. Also mind-bending.
To see they're related like this though is as stunning as first seeing Euler's identity.
Am also not a mathematician (or even someone who is particularly good at maths!)... but yeah, that rotated 3D representation of the Mandelbrot set, which showed its relationship to the logistic map, was truly mindblowing to me as well. And the seeming ubiquity of the bifurcation patterns shown in the logistic map in nature also reminded me of the Golden Ratio too. I may not totally understand it all at the technical level, but even so I can't help but appreciate the beauty of it all despite that. :)