👉 In mathematics, an "omeganoid" is a particular kind of algebraic variety defined by the system of polynomial equations \[ x^2 + y^2 + z^2 = 1 \] and \[ xy - xz + yz = 0. \] It's often used in studying symmetry and geometry, particularly in the context of the Poincaré conjecture, which is a famous problem in theoretical physics concerning the classification of compact Riemann surfaces.
