This video was made with Mathematica 7. While the camera traces a 3D Lissajous figure it is always pointed at the center where deltic and radial More

This video was made with Mathematica 7. While the camera traces a 3D Lissajous figure it is always pointed at the center where deltic and radial engines perform their cycles. The code for the models of engines and 3D Lissajous trajectory was taken from three different examples at The Wolfram Demonstration project. Here are the links: "3D Lissajous Figures" demonstrations.wolfram.com/3DLissajousFigures/ "Deltic Engine" demonstrations.wolfram.com/DelticEngine/ "Radial Engine" demonstrations.wolfram.com/RadialEngine/ Soundtrack: "Danse Macabre", Kevin MacLeod, incompetech.com, Licensed under Creative Commons "Attribution 3.0" creativecommons.org/licenses/by/3.0/"
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This video was made with Mathematica 7. The six changing shapes in the video are called attractors. They are graphical forms of a simple mathematical More

This video was made with Mathematica 7. The six changing shapes in the video are called attractors. They are graphical forms of a simple mathematical formula attributed to Peter de Jong. At any given moment the way a single attractor looks depends only on four numbers. A slight variation in these numbers can remarkably change the appearance of an attractor. This is why there are so many different shapes and, while the numbers change continuously during the video, the shapes are so fluid, fleeting and flickering. Peter de Jong formula: x’=sin(a y)-cos(b x) y’=sin(c x)-cos(d y) The code of the video is based on an example from The Wolfram Demonstration Project: demonstrations.wolfram.com/​PeterDeJongAttractors/​ Musical composition is “Snowdrop” by Kevin MacLeod (incompetech.com). It is licensed under Creative Commons "Attribution 3.0" creativecommons.org/​licenses/​by/​3.0/
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