A Class of Two-Dimensional Model Sets from One-Dimensional Substitutions

A Class of Two-Dimensional Model Sets from One-Dimensional Substitutions

Fields Institute via YouTube Direct link

Fibonacci natural tile lengths

3 of 23

3 of 23

Fibonacci natural tile lengths

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Classroom Contents

A Class of Two-Dimensional Model Sets from One-Dimensional Substitutions

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  1. 1 Intro
  2. 2 Fibonacci symbolic substitution
  3. 3 Fibonacci natural tile lengths
  4. 4 Cut-and-project scheme
  5. 5 Renormalization for the window
  6. 6 Fibinoid direct product substitution
  7. 7 Fibinoid inflate-and-subdivide rule
  8. 8 A Fibinoid variation
  9. 9 Fibinoid 3D stepped surfaces
  10. 10 Fibonacci direct product substitution
  11. 11 A variation
  12. 12 The measure-theoretic situation
  13. 13 The 28 polygonal windows
  14. 14 Fibonacci DPVs with polygonal windows are topologically conjugate
  15. 15 Rauzy fractal island
  16. 16 Rauzy fractal window comparison
  17. 17 Rauzy fractal castle
  18. 18 Direct products and variations
  19. 19 Park-Robinson 1991: Chacon Z action
  20. 20 A non-Pisot DPV-the symbolic case
  21. 21 A non-Pisot DPV with canonical tiles
  22. 22 Finite local complexity
  23. 23 Some questions

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