00:59
An English stream and turbulent eddies in sunlight
01:34
A babbling brook in Spring time with piano
01:15
The Sierpinski Triangle Fractal found in a cone snail shell
01:14
Conic section models - circle, ellipse & hyperbola - slowly rotated
02:42
Storm in a teacup - turbulence & eddies
01:26
Time lapse sunset, silhouettes & clouds drifting over Oslo harbour
03:34
Fishing boats turning on a Scottish West Highlands tide
02:38
The Double Pendulum without friction - a Three-Body Problem
02:41
3D animation of whale swimming - plotted using a maths equation, with piano and soprano sax
01:19
Modelling just ONE electron "orbiting" its atom animated using the 2D Schrödinger equation
00:48
Classical wave model mixes making a pattern similar to the measured Cosmic Microwave Background CMB
02:25
Smoke rising from a candle with piano music
02:06
Flames rolling in a wood burner
04:35
Natural shapes discovered in the Mandelbrot set fractal
02:39
The Barnsley Fern Fractal growing out of only 20 numbers
02:45
Formation of Barnsley fern fractal (at 1:20)
04:18
Wave animation: simple surface changing to sea waves
14:33
Summer bird song
04:51
The Butterfly Effect and Lorenz Attractor fractal drawn from convection in a thin layer of water
03:00
Clouds - 3 time lapse sequences over an English beach in Summer 2012
02:25
The Mandelbrot set together with its bifurcation diagram - zoom to magnification × 1,000,000,000
02:57
Logistic map zoom to magnification ×1,000,000,000
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About
'Edges' of logic, including animations and zooms of some famous fractals and wave equations.
Links to pages with codes for plotting the Mandelbrot set, the Barnsley fern, the Lorenz attractor, the logistic map and animating the classical wave and the Schrödinger wave equations.
Plots showing that simple repeated calculations of mathematics and physics produce results displaying incredibly complex and beautiful patterns that relate to what is observed in the real world.
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