full transcript

From the Ted Talk by Evan Zodl: The unexpected math of origami

Unscramble the Blue Letters


Looking closer at the folds, we can see why.

If we add a crease and nbemur the new agnels at this vertex, the even and odd angles no longer add up to 180 degrees, and the model doesn’t fold flat. Finally, a leayr cannot penetrate a fold.

A 2D, flat-foldable base is often an actarsbt representation of a fianl 3D sphae.

Understanding the relationship between crease patterns, 2D bases, and the final 3D form allows origami artists to dgsein incredibly complex shapes. Take this crease pattern by origami artsit Robert J. Lang. The crease pattern alaetlocs areas for a creature's legs, tail, and other appendages. When we fold the csreae pattern into this flat base, each of these allocated areas becomes a separate flap. By narrowing, bending, and sculpting these flaps, the 2D base becomes a 3D scorpion.

Open Cloze


Looking closer at the folds, we can see why.

If we add a crease and ______ the new ______ at this vertex, the even and odd angles no longer add up to 180 degrees, and the model doesn’t fold flat. Finally, a _____ cannot penetrate a fold.

A 2D, flat-foldable base is often an ________ representation of a _____ 3D _____.

Understanding the relationship between crease patterns, 2D bases, and the final 3D form allows origami artists to ______ incredibly complex shapes. Take this crease pattern by origami ______ Robert J. Lang. The crease pattern _________ areas for a creature's legs, tail, and other appendages. When we fold the ______ pattern into this flat base, each of these allocated areas becomes a separate flap. By narrowing, bending, and sculpting these flaps, the 2D base becomes a 3D scorpion.

Solution


  1. final
  2. layer
  3. angles
  4. artist
  5. design
  6. abstract
  7. number
  8. crease
  9. shape
  10. allocates

Original Text


Looking closer at the folds, we can see why.

If we add a crease and number the new angles at this vertex, the even and odd angles no longer add up to 180 degrees, and the model doesn’t fold flat. Finally, a layer cannot penetrate a fold.

A 2D, flat-foldable base is often an abstract representation of a final 3D shape.

Understanding the relationship between crease patterns, 2D bases, and the final 3D form allows origami artists to design incredibly complex shapes. Take this crease pattern by origami artist Robert J. Lang. The crease pattern allocates areas for a creature's legs, tail, and other appendages. When we fold the crease pattern into this flat base, each of these allocated areas becomes a separate flap. By narrowing, bending, and sculpting these flaps, the 2D base becomes a 3D scorpion.

Frequently Occurring Word Combinations


ngrams of length 2

collocation frequency
crease pattern 7
mountain fold 3
origami artists 2
crease patterns 2
fold flat 2
valley folds 2
interior vertex 2


Important Words


  1. abstract
  2. add
  3. allocated
  4. allocates
  5. angles
  6. appendages
  7. areas
  8. artist
  9. artists
  10. base
  11. bases
  12. bending
  13. closer
  14. complex
  15. crease
  16. degrees
  17. design
  18. final
  19. finally
  20. flap
  21. flaps
  22. flat
  23. fold
  24. folds
  25. form
  26. incredibly
  27. lang
  28. layer
  29. legs
  30. longer
  31. model
  32. narrowing
  33. number
  34. odd
  35. origami
  36. pattern
  37. patterns
  38. penetrate
  39. relationship
  40. representation
  41. robert
  42. scorpion
  43. sculpting
  44. separate
  45. shape
  46. shapes
  47. tail
  48. understanding
  49. vertex