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Parametric shape optimization with differentiable FEM simulation

All examples are expected to run from the examples/<example_name> directory of the Tesseract-JAX repository . In this example, you will learn how to: Compose both Tesseracts with Tesseract-JAX to create a pipeline that can be used for differentiable shape optimization. Build a Tesseract that uses finite differences under the hood to enable differentiability of a non-autodifferentiable geometry operation (computing a signed distance field from a 3D model). In this notebook, we explore the opt

Jacobi Ellipsoid

Shape taken by a self-gravitating fluid body rotating at constant velocity Artistic rendering of Haumea, a dwarf planet with triaxial ellipsoid shape. A Jacobi ellipsoid is a triaxial (i.e. scalene) ellipsoid under hydrostatic equilibrium which arises when a self-gravitating, fluid body of uniform density rotates with a constant angular velocity. It is named after the German mathematician Carl Gustav Jacob Jacobi.[1] History [ edit ] Before Jacobi, the Maclaurin spheroid, which was formulate