

The Gosper Glider Gun (the structure around 40) shoots gliders (small diagonal movers) at regular time intervals. However, in a cyclic domain, the gliders themselves destroy the gun.
The code (here, wrote it in Python) is based on a simple mathematical logic called the Game of Life or just Life, invented by British mathematician John Conway, building on another famous mathematician John Von Neumann's concept of populating other planets with self-reproducing machines. For example, machines sent to Mars would dig up iron ore (Fe2O3) and extract the iron to make replicas of itself, releasing oxygen in the process, thus making it a habitable planet. This game is driven by initial conditions. There are no runtime controls, as the game plays itself.
Each cell in the grid is either live (yellow) or dead (violet) and the state of a cell is determined by the number of live neighbors. Several fixed, oscillating and moving patterns may be formed. Check out the Wikipedia page, it is really good. There is a whole world of more complicated runs in the following video: https://www.youtube.com/watch?v=C2vgICfQawE
If you are interested in games based on logic then check out blogger Nicky at https://ncase.me/
Conway's Game of Life
Some linear perturbation theory to study waves in planetary rings using simple hydrodynamics: here
A term paper on nonlinear dynamical systems like the double pendulum and bifurcation demonstrated by the bead on a rotating hoop: here
A term paper presentation on 2D turbulence and Kraichnan's Inverse Energy Cascade (the reason for Jupiter's Great Red spot): here
Music: some of my favorite renditions
Raag Jaunpuri - Payal ki khankar bairaniya - Pdt. Bhimsen Joshi
Raag Hemant - Yaad piya ki aaye - Kaushiki Chakraborty
Raag Tilak Kamod - Aeri sakhi morey, piya ghar aaye - Ujwal Nagar & Nilotpal Sinha
Raag Sindh Bhairavi - Ka karoon sajni, aye na balama - Pdt. Ajoy Chakraborty
Raag Bhairavi - Tum ajaa na bhagwaan - Kaushiki Chakraborty
Raag Bageshree - Apani garaj pakad lee nee baiyan - Rujul Pathak
Raag Bhimpalasi - Jaa jaa re apni mandirwa - Kaushiki Chakraborty
Raag Mishra Piloo - Barasan laagi re sawan boondiya, shyam bin laage na - Madhumita Ray
Bondhu tor laiga re - Kalikaprashad
Raag Desh - Badar ghir aayi - Kaushiki Chakraborty