Solutions to Penrose's ‘Road To Reality’
Chapter 2: An ancient theorem and a modern question
| §2.2 Euclid's postulates | ||
| 2.1 | * | Playfair's axiom |
| §2.4 Hyperbolic geometry: conformal picture | ||
| 2.2 | ** | Conformal representation of hyperbolic geometry (I) |
| 2.3 | * | Conformal representation of hyperbolic geometry (II) |
| §2.5 Other representations of hyperbolic geometry | ||
| 2.4 | ** | Projective representation of hyperbolic geometry |
| 2.5 | * | Hemispherical representation of hyperbolic geometry |
| 2.6 | *** | Properties of the stereographic projection |
| 2.7 | *** | A tessellation of the hyperbolic plane with regular pentagons and squares |
| §2.6 Historical aspects of hyperbolic geometry | ||
| 2.8 | *** | Area of the spherical triangle |