Instant Architecture in Minecraft using Box-Split Grammars

In this paper, we present a formalism we call Box-Split Grammars for the procedural modeling of structures in Minecraft and similar environments. Our grammars are based on previous work on split grammars and box grammars, where rules define how a given box, labeled with a non-terminal symbol, can be split into smaller pieces, and how subsequent rules are to be applied. We represent grammar rules as ordinary, well-structured python functions, allowing the integration into existing systems, and demonstrate their utility by recreating variations of ancient Greek temples using a few simple grammar rules.