Geodesic spheres in Sol geometry, stretched by the exponential expansion and contraction
This program renders geodesic spheres in Sol geometry, one of the eight Thurston model geometries for 3-manifolds. Sol is the geometry of the solvable Lie group with an exponentially expanding direction and an exponentially contracting direction, giving it a distinctive saddle-like character. Geodesic spheres in Sol are highly anisotropic, stretching preferentially along the expanding direction, and their shapes illustrate the fundamental asymmetry of this geometry.
Controls: Click and drag to orbit, scroll to zoom.
