Explore a 22-minute conference talk from the MFEM Workshop 2022 focusing on Rodin, a lightweight and modern C++17 framework for shape, density, and topology optimization. Delve into Carlos Brito Pacheco's presentation on this versatile library, which offers a range of functionalities for implementing shape and topology optimization algorithms. Learn about Rodin's capabilities, including refining and remeshing underlying shapes, and its elegant mechanisms for specifying and solving variational problems. Discover how Rodin integrates with other tools and examine its applications through test cases, gradient descent methods, and displacement field views. Gain insights into representing shapes, working with partial differential equations, and utilizing sign distance functions for shape differentiability.