Jakobi, Tobias: Radial projection statistics: a different angle on tilings. 2017
Inhalt
- Introduction
- Chapter 1. The radial projection method
- 1.1. Introducing the RPM
- 1.2. Total order – the integer lattice Z2
- 1.3. Disorder – Poisson distributed points
- 1.4. Generalisation to higher dimensions
- Chapter 2. Planar aperiodic tilings
- 2.1. Preliminaries
- 2.2. Ammann–Beenker
- 2.3. Tübingen triangle
- 2.4. Gähler shield
- 2.5. Tail statistics
- 2.6. Lançon–Billard
- 2.7. Planar chair
- 2.8. Miscellanea
- 2.9. Non-canonical reference point
- 2.10. Averaging
- Chapter 3. Construction of tilings
- Chapter 4. Determining visibility of tiling vertices
- Chapter 5. Effects of randomisation
- Chapter 6. Second-order spacings
- Chapter 7. Arithmetic visibility in number fields
- 7.1. Prime factorisation
- 7.2. Square- and cube-free integers
- 7.3. Diffraction pattern
- 7.4. Radial projection
- Chapter 8. Outlook
- Appendix A. Source code
- Bibliography
- List of Figures
- Index