[Extra Visual] All orbits of the Mandelbrot Set shown together. скачать в хорошем качестве

[Extra Visual] All orbits of the Mandelbrot Set shown together.

This visual shows a series of balls on the complex plane. The equation z=z²+c is applied to every ball once per iteration. Those balls outside the Mandelbrot will escape, and head towards infinity. Those inside the Mandelbrot Set will remain bounded within the radius two circle. This video is extra footage associated with the explainer video "The Mandelbrot Set Explained".    • The Mandelbrot Set Explained   If you look carefully you can see the period motion associated with the periods 2 and 3 bulbs. For example you will notice that the balls return to the period 3 bulb every third iteration. The colour of the balls is graduated for each ball, so that you can get a rough idea of where it started. This graphic shows the first 400 iterations. I will attempt to upload extra graphics associated with the main sequence of explainer videos, you will find them by exploring the channel playlists. Generally I'll set these videos so that subscribers aren't notified, so that subscribers aren't pestered by these uploads. Join the Maths Town Twitter feed if you would like to be notified about everything I am doing (including the Maths Town channels).   / mathstown   In this series: 1 -    • The Mandelbrot Set Explained   The Mandelbrot Set Explained 2 -    • Julia Sets, and how they relate to Th...   Julia Sets, and how they relate to The Mandelbrot Set 3 -    • How to Build a Julia Set   How to Build a Julia Set Extra Visuals (No commentary):    • [Extra Visual] All orbits of the Mand...   - All orbits of the Mandelbrot    • [Extra Visual] All Period 1 orbits of...   - Period 1 orbits of the Mandelbrot    • [Extra Visual] All Period 2 orbits of...   - Period 2 orbits of the Mandelbrot    • [Extra Visual] Building a Mandelbrot ...   - Building a Mandelbrot step-by-step    • [Extra Visual] Period 2 orbits of a J...   - Period 2 orbits of a Julia Set    • [Extra Visual] Period 3 orbits of a J...   - Period 3 orbits of a Julia Set    • [Extra Visual] Period 4 orbits of a J...   - Period 4 orbits of a Julia Set    • [Extra Visual] Period 5 orbits of a J...   - Period 5 orbits of a Julia Set    • [Extra Visual] Period 6 orbits of a J...   - Period 6 orbits of a Julia Set