Visualizing without seeing

Last January was the annual Awesome Games Done Quick marathon, where speed runners1 show off and explain their skills while raising money for cancer research. One of the final events of the marathon was a blindfolded speed run of the beginning of The Legend of Zelda: Ocarina of Time (OoT) (basically, the first three dungeons). Yes, you read that correctly: a speed runner Runnerguy2489 was blindfolded and then played OoT.
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Vector Graph Racer

I love vectors. I mean, they’re pretty awesome. They have a magnitude and a direction. Two for the price of one. They are also quite helpful when doing physics. [Full disclosure: my dissertation had a big focus on vectors, so I’m a little biased.] I also really like graph paper. So you can imagine how excited I was when I stumbled upon a paper-and-pencil game that used vectors as the main mechanic.

The game goes by many names and has been around for a long time. I first saw it as Graph Racer, but I like Vector Racer too. There’s a whole article on the rules and variants on Wikipedia. The game is always different because you draw the board each time you play. So how does it work?
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