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/"