Along with the explanation we provide in the paper, the video below details how the first two seed guesses are used to generate a third guess, explained through a combination of the heuristic math and each guess as both a word and a vector.
Sample Heuristic Solution
The animation below also shows an example of the heuristic discovering a secret word of fauna. The top five guesses displayed on the right represent the guesses used to create a new centroid, while the blue dots represent the guesses using Principal Component Analysis. The red star represents the secret word.