
Space Race
Another FiveThirtyEight Riddler.The President has bestowed upon you 1 billion dollars with the mission of getting us to an alien artifact as fast as possible! Here's whats available to you: Big Russian engines costing 400 million each. Buying one will reduce the trip time by 200 days. Buying two…

Impossible Puzzle
Another weekly FiveThirtyEight riddler, and this one's a mindbender. Three very skilled logicians are sitting around a table — Barack, Pete and Susan. Barack says: “I’m thinking of two natural numbers between 1 and 9, inclusive. I’ve written the product of these two numbers on this paper that I’…

Casino Game
The solution for this weeks FiveThirtyEight riddler is pretty nutty. The riddle is essentially: If you drew random numbers from a uniform distribution from [0,1], what is the expected number of draws you would perform until their sum exceeds 1? So let us define $S_{n}$ as the sum…

NBA Player Tracking
Since the 201314 season, the NBA has installed special cameras in every NBA stadium allowing teams to track every single player and ball movement, and digitize it into data that their data scientists can crunch into ever more sophisticated metrics on team and player performance. What's even more amazing is…

Tupper's selfreferential formula
So here's something cool. This formula: $$\frac{1}{2} < \lfloor mod(\lfloor\frac{y}{17}\rfloor2^{17\lfloor x \rfloor mod(\lfloor y\rfloor,17)},2)\rfloor$$ will literally plot itself if you look at the right region. where k is this 543digit integer: 960 939 379 918 958…