We present a novel interpretability method for analyzing activation dynamics in large language models (LLMs) using spatial thought matrices. By partitioning GPT-2's architecture into a spatial grid and capturing activation magnitudes across diverse query types, we quantify differences in internal processing across cognitive categories. Analysis of 60+ prompts across factual, reasoning, creative, mathematical, and ethical domains reveals measurable differences in activation entropy and pattern complexity. Notably, mathematical prompts show 10.4% higher pattern complexity than factual ones, while reasoning tasks exhibit the highest activation entropy (4.241), suggesting distributed processing. These findings support the hypothesis of emergent functional specialization within transformer models. Source code: https://github.com/tsushanth/thought-matrix