Hyperbolic Plane

In mathematics, the term hyperbolic plane may refer to:

  • A two-dimensional plane in hyperbolic geometry
  • A two-dimensional plane in Minkowski space (the plane of the hyperbolic numbers)
  • A two-dimensional quadratic space with a non-singular isotropic quadratic form

Other articles related to "hyperbolic plane":

Small Cubicuboctahedron - Related Tilings
... of the resulting Riemann surface is the hyperbolic plane ... The corresponding tiling of the hyperbolic plane has vertex figure 3.8.4.8 (triangle, octagon, square, octagon) ... The corresponding tiling of the hyperbolic plane (the universal covering) is the order-7 triangular tiling ...
SL2(R) - Topology and Universal Cover
... as the unit tangent bundle of the hyperbolic plane ... bundle, and has a natural contact structure induced by the symplectic structure on the hyperbolic plane ... and can be thought of as the bundle of spinors on the hyperbolic plane ...
Socco - Related Tilings
... theorem), and the universal cover of the resulting Riemann surface is the hyperbolic plane ... The corresponding tiling of the hyperbolic plane has vertex figure 3.8.4.8 (triangle, octagon, square, octagon) ... The corresponding tiling of the hyperbolic plane (the universal covering) is the order-7 triangular tiling ...

Famous quotes containing the word plane:

    Have you ever been up in your plane at night, alone, somewhere, 20,000 feet above the ocean?... Did you ever hear music up there?... It’s the music a man’s spirit sings to his heart, when the earth’s far away and there isn’t any more fear. It’s the high, fine, beautiful sound of an earth-bound creature who grew wings and flew up high and looked straight into the face of the future. And caught, just for an instant, the unbelievable vision of a free man in a free world.
    Dalton Trumbo (1905–1976)