Wes Freeman explores the connection between Neo4j, a graph database, and Chess Game Positions using a chess game mapping program called StockFish. He analyzes scores and blunders of chess masters to gain insights into the game. The project allows users to create their own GraphGist using an asciidoc platform and share it on the Wiki page or submit to the #ShowMeYourGraph Twitter Contest for a chance to win over $1k in prizes. Wes's work showcases the potential of graph technologies in understanding complex data, such as chess game positions.