Explore the fascinating world of black holes, symmetries, and impossible triangles in this engaging conversation with Nobel Laureate Sir Roger Penrose. Delve into the mathematical underpinnings of black holes, gravitational collapse, and trapped surfaces while learning about Einstein's reaction to these concepts. Discover the observational confirmation of black holes and the evidence supporting their existence. Investigate wallpaper groups, symmetries, and pentagons, including the experimentally verified starshaped pentagon. Gain insights into Penrose's groundbreaking work in mathematical physics, from impossible triangles to tiling theory, as he discusses his contributions to general relativity, cosmology, and the theory of mind.