Фрактали як основа процедурної графіки та генерації ігрових світів

Abstract

This work examines the use of fractal geometry methods for automating the creation of complex virtual environments in the modern gaming industry. It highlights the weaknesses of Euclidean geometry in modeling natural objects and the advantages of a procedural approach. Based on practical case studies, the paper examines the use of fractal algorithms in well-known video games: the application of Perlin noise and fractal Brownian motion in Minecraft, the concept of Uber noise and mathematical seeds for creating vast universes in No Man’s Sky, as well as the use of binary space partitioning (BSP) for structuring levels in The Legend of Zelda.