| 3. Triangle and Inscribed Angle | (07/06/25) Not constant, Absolute unit length (1) |
| 4. Model | Make a disk model, Open and closed |
| 5. Disk and Hyperboloid | Interchangeable relations |
| 6. Equivalent Deformation, | |
| Comparison with Elliptic Geometry (1) | (07/04/14) Locus of vertex of a triangle |
| 7. Parallel Angle | What is it? |
| 8. Lobachevsky's Postulate | (07/07/19) How was it found? Can we draw infinity? |
| 9. Distance and Angle, Hyperbolic Trigonomery | (07/06/22) Dependent relations, Absolute unit length (2) |
| 10. Equidistant Lines (1) | How does it look? Parallel curves |
| 11. Ultraparallel Lines | Common perpendicular |
| 12. Tiling (tessellation) | (07/05/01) Reflection, Ideal triangle |
| 13. Parallel Translation (1) | Get locus by reflection |
| 14. Circle | Cutting hemisphere |
| 15. Move Circle | Toward infinity |
| 16. Extending Disk Model | (07/07/02) To get real hyperbolic plane |
| 17. Horocycle (1) | Hemisphere, Translation, Equidistant lines (2) |
| 18. Pseudo-sphere (1) | Is hyperbolic surface realized? |
| 19. Upper Half-plane (1) | Relation with Poincare's disk, Digitized model |
| 20. Horocycle (2) | Poincare's disk, Upper Half-plane (2) |
| 21. Metric, Break Pythagorean Theorem | (07/06/13) Riemann, Mercator, Pseudo-sphere (2) |
| 22. Mutual Relations among Models | Ray and chain 5 models |
| 23. Curvature (1) | Osculating circle, Curvature of pseudosphere (1) |
| 24. Curvature (2) | What happens if curvature changes? |
| 25. Gauss-Bonnet Theorem | Curvature of pseudosphere (2) |
| 26. Touchable Model | (07/06/20) Paper craft of true hyperbolic plane |
| 27. H(+) Plane and Euclidean Plane | Visual comparison under unchanged length |
| 28. Analytic Curve | Lambert's quardrangle |
| 29. Hyperbolic Function | Source, Hyperbolic angle, Definition of logarithm |
| 30. Inversion and Infinity (under construction) | What is the end of hyperbola? |
| 31. Upper Half-plane (4) (under construction) | Can we come to Eucledean plane without jump? |
| 32. Right Angled Polygon | (07/03/29) Infinite polygon |
| 33. Dodecahedron | 3-D tiling |
| 34. Ideal Tetrahedron | 3-D tiling |
