User:Diamond Blizzard/Books/Hyperbolic Geometry: Concepts and History
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Hyperbolic Geometry
[edit]Concepts and History
[edit]- The Geometry We Know
- Geometry
- Euclidean geometry
- Parallel postulate
- Playfair's axiom
- Strange Possibilities
- Non-Euclidean geometry
- Absolute geometry
- Hyperbolic geometry
- Concepts Related to Hyperbolic Geometry
- Limiting parallel
- Ideal point
- Ultraparallel theorem
- Gaussian curvature
- Angle of parallelism
- Hypercycle (geometry)
- Horocycle
- Hyperbolic triangle
- Angular defect
- Ideal triangle
- Apeirogon
- Uniform tilings in hyperbolic plane
- List of regular polytopes and compounds
- Coordinate systems for the hyperbolic plane
- Historically Important People and Ideas
- Nikolai Lobachevsky
- Carl Friedrich Gauss
- Eugenio Beltrami
- Henri Poincaré
- Sphere-world
- Proclus
- Ibn al-Haytham
- Giovanni Girolamo Saccheri
- Saccheri quadrilateral
- Omar Khayyam
- Johann Heinrich Lambert
- Lambert quadrilateral
- Is This Relevant to Our World?
- Hyperbolic space
- Special relativity
- Geometrization conjecture
- Shape of the universe
- Models of Hyperbolic Geometry and Why We Need Them
- Hilbert's theorem (differential geometry)
- Pseudosphere
- Beltrami–Klein model
- Poincaré disk model
- Poincaré half-plane model
- Hyperboloid model
- Band model
- Artistic Depictions of Hyperbolic Geometry
- M. C. Escher
- Circle Limit III
- Mathematics and fiber arts
- Truncated order-7 triangular tiling
- HyperRogue
- Flatterland