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Hyperbolic geometry

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What is HYPERBOLIC GEOMETRY? What does HYPERBOLIC GEOMETRY mean?

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Non-euclidean virtual reality using ray marching

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HYPERBOLIC GEOMETRY : GEOMETRY OF SPECIAL RELATIVITY

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Non-Euclidean Geometry

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Geometry: Non-Euclidean vs. Euclidean : High School Math Help

In mathematics, hyperbolic geometry is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with:For any given line R and point P not on R, in the plane containing both line R and point P there are at least two distinct lines through P that do not intersect R. (compare this with Playfair's axiom, the modern version of Euclid's parallel postulate)
  • Properties 

  • Standardized Gaussian curvature 

  • History 

  • Physical realizations of the hyperbolic plane 

  • Models of the hyperbolic plane 

  • Isometries of the hyperbolic plane 

  • Hyperbolic geometry in art 

  • Homogeneous structure