Gallery
Posters
A gallery of posters illustrating some of my research findings.
Presented in the annual student science exhibition at the academy.
Simulations
A gallery of graphical simulations of the Schelling model of segregation.
These illustrate results from our work on Schelling segregation. Code in GitHub.
The page C/OpenGL code contains explanations.
Interactive WebGL simulations running in the browser:
- 1D WebGL - the 1-dimensional Schelling model
- 2D WebGL - the 2-dimensional Schelling model
- 2Din3D - the 2D model in 3 dimensions.
The code is in my GitHub repo.
Games
Complexity questions can often be reduced to solving certain 2-player games.
Such are the following, where which player has a winning strategy is unknown.
Even Game
Two players pick numbers in alternate rounds. At each stage:
- Player 1 chooses four numbers that he hasn’t chosen earlier
- Player 2 picks an even number that he has not picked before between the min and max of the numbers just picked by player 1.
The player who first runs out of legitimate moves is the loser.
Play the even game on a finite 2-dimensional board where:
- numbers correspond to cells, indexed in the standard way
- picks by Player 1 are marked with a gray top-half
- picks by Player 2 are marked with a gray bottom-half fill
and available picks for player 2 are highlighted in blue.
The code is in my GitHub repo.
Balance Game
Two players pick cells on a grid in turns and
- picks by Player 1 increase the scores of the grid-cells
- picks by Player 2 reduce the scores of some cells.
Player 2 wins if he can keep the cell-scores below 5.
Play the balance game where the exact rules are given.
Disk Game
A coder-spoiler game related to lossy coding and randomness.
Play the disk game. The code (python/javascript) is in my GitHub repo.