Ivan Izmestiev, TU Wien
Workshop on Real Algebraic Geometry and Algorithms for Geometric Constraint Systems
[ Ссылка ]
Date and Time: Wednesday, June 16, 2021 - 11:40am to 12:20pm
Abstract: Consider a polyhedral surface in the combinatorics of a square lattice made of rigid quadrilaterals. For a generic choice of the shapes of faces this surface is rigid. For example, a 3x3-surface is governed by a system of four polynomial equations in four variables: a surface is flexible if and only if the solution set has dimension greater than zero. We classify all flexible cases with the help of a parametrization of the configuration space of a spherical quadrilateral by elliptic functions.
