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

... 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

... 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

... 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)

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