Math Visualizations: IV
In this second part of the series, we explore some 3D Surfaces like hyperbolic surfaces etc… We start with some basic 3D Surfaces like cylindrical, spherical, conical prism etc.
3D Surfaces
Hyperbolic Surfaces
The hyperbolic plane is a plane where every point is a saddle point. Hyperbolic plane geometry is also the geometry of pseudospherical surfaces, the surfaces with a constant negative Gaussian curvature. Saddle surfaces have negative Gaussian curvature in at least some regions, where they locally resemble the hyperbolic plane.
A modern use of hyperbolic geometry is in the theory of special relativity, particularly the Minkowski model. (source: Wikipedia)
Exponential Surfaces
In mathematics, particularly in complex analysis, a Riemann surface is a connected one-dimensional complex manifold. These surfaces were first studied by and are named after Bernhard Riemann. Riemann surfaces can be thought of as deformed versions of the complex plane: locally near every point they look like patches of the complex plane, but the global topology can be quite different. For example, they can look like a sphere a torus or several sheets glued together.