The basic idea of the infinite tournament is that every few weeks, you start a match with an opponent who has a similar score. It's essentially an infinite swiss-style tournament, and a good way to get a steady stream of games.
To begin from the leftmost column: There is the list of players, with their rating and number of games played, as well as points from the games (2 per win, 1 per draw, 0 per loss). The next column has the score; a large number representing their current score in the tournament, and a smaller one representing their all-time best. What follows is a list of games, with each game telling the placement and score of the player in the tournament at the time of the match.
