Part 1: How are the incredible diversity and robustness compatible with animal morphologies? Based on apical-basal and planar cell polarities’ ubiquity, I suggest a 3D mathematical model: Point particles represent cells having zero, one, or two unit-arrows representing polarities. I test the model abilities on preimplantation development, sea urchin gastrulation, mammalian neurulation, organoid folding, and tubulogenesis. I find that a minimal, versatile toolbox, including cellular polarities, captures the emergence of diverse and robust animal morphologies.

Part 2: How are deep convective events spatially organized in the tropical atmosphere? Here, I test the importance of atmospheric cold pools for organizing convection. I suggest a 2D mathematical model: Points expand into circles representing cold pools. When circles meet, a convective event occurs, and a new circle forms. I find this model captures convective scale increase and initial stages of convective self-aggregation. The latter is crucial due to its link to tropical cyclogenesis.