Roger Penrose - Forbidden Crystal Symmetry in Mathematics and Architecture

Roger Penrose - Forbidden Crystal Symmetry in Mathematics and Architecture

The Royal Institution via YouTube Direct link

Intro

1 of 39

1 of 39

Intro

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Roger Penrose - Forbidden Crystal Symmetry in Mathematics and Architecture

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  1. 1 Intro
  2. 2 Crystallographic symmetry
  3. 3 Geometric symmetry
  4. 4 Why doesnt the theorem work
  5. 5 Features of the pattern
  6. 6 Structure of the pattern
  7. 7 Subtlety
  8. 8 Ancient Islamic art
  9. 9 Johannes Kepler
  10. 10 Kepler pentagons
  11. 11 Kepler
  12. 12 Tile shapes
  13. 13 Pentagons
  14. 14 kites and darts
  15. 15 non periodic arrangements
  16. 16 Rhombus pattern
  17. 17 Mauri pattern
  18. 18 Local assembly
  19. 19 PowerPoint images
  20. 20 Atomic arrangements
  21. 21 Japanese architect
  22. 22 Storyhole
  23. 23 The Science Centre
  24. 24 St Johns College
  25. 25 Helsinki
  26. 26 Stoneybrook Simon Center
  27. 27 Chemistry Department
  28. 28 Carleton University
  29. 29 Allahabad India
  30. 30 Transbay Transit Area
  31. 31 Park
  32. 32 Railway station
  33. 33 Wadham College
  34. 34 Pentagon
  35. 35 Rings
  36. 36 Rhombus
  37. 37 Floral arrangement
  38. 38 Latest progress
  39. 39 The Radcliffe Observatory

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