Fold, Paper, Scissors—Ruby on Ales 2016

Fold, Paper, Scissors—Ruby on Ales 2016

This talk looks beyond origami as a childhood pastime and an art form and instead, explores origami as a source of many interesting mathematical problems, including one called the fold-and-cut problem. The fold and cut theorem states that it is possible, given a piece of paper and any polygonal shape, to find a series of folds of that paper such that the given shape can be generated with a single cut. This talk explores two proofs of the theorem and and a Ruby implementation of a solver that determines the correct series of folds given any input polygon. There will be a live demo of the program and paper cutting!

D86ff815a7fb14d0cb12e97ff0b18865?s=128

sailorhg

April 01, 2016
Tweet

Transcript

  1. 1.
  2. 2.
  3. 3.
  4. 4.
  5. 5.
  6. 6.
  7. 7.
  8. 10.
  9. 11.
  10. 12.
  11. 13.
  12. 14.
  13. 15.
  14. 16.
  15. 17.
  16. 18.
  17. 19.
  18. 20.
  19. 21.
  20. 22.
  21. 23.
  22. 24.
  23. 25.
  24. 26.
  25. 27.
  26. 28.
  27. 29.
  28. 30.
  29. 31.
  30. 32.
  31. 33.