full transcript

From the Ted Talk by Ron Eglash: The fractals at the heart of African designs

Unscramble the Blue Letters

And other mathematicians did the same sort of thing. A Swedish mathematician, von Koch, decided that instead of subtracting lneis, he would add them. And so he came up with this beautiful crvue. And there's no particular reason why we have to start with this seed shape; we can use any seed shape we like. And I'll rearrange this and I'll stick this somewhere — down there, OK — and now upon iteration, that seed shape sort of udnolfs into a very different looking structure. So these all have the property of self-similarity: the part looks like the whole. It's the same pattern at many different seacls.

Open Cloze

And other mathematicians did the same sort of thing. A Swedish mathematician, von Koch, decided that instead of subtracting _____, he would add them. And so he came up with this beautiful _____. And there's no particular reason why we have to start with this seed shape; we can use any seed shape we like. And I'll rearrange this and I'll stick this somewhere — down there, OK — and now upon iteration, that seed shape sort of _______ into a very different looking structure. So these all have the property of self-similarity: the part looks like the whole. It's the same pattern at many different ______.

Solution

  1. unfolds
  2. lines
  3. scales
  4. curve

Original Text

And other mathematicians did the same sort of thing. A Swedish mathematician, von Koch, decided that instead of subtracting lines, he would add them. And so he came up with this beautiful curve. And there's no particular reason why we have to start with this seed shape; we can use any seed shape we like. And I'll rearrange this and I'll stick this somewhere — down there, OK — and now upon iteration, that seed shape sort of unfolds into a very different looking structure. So these all have the property of self-similarity: the part looks like the whole. It's the same pattern at many different scales.

Frequently Occurring Word Combinations

ngrams of length 2

collocation frequency
infinite number 4
georg cantor 3
seed shape 2
aerial photograph 2
fractal model 2
tiny village 2
spirit people 2
stacked recursively 2
native american 2
kids learn 2
board game 2
deterministic chaos 2
binary code 2
brian eno 2

Important Words

  1. add
  2. beautiful
  3. curve
  4. decided
  5. iteration
  6. koch
  7. lines
  8. mathematician
  9. mathematicians
  10. part
  11. pattern
  12. property
  13. rearrange
  14. reason
  15. scales
  16. seed
  17. shape
  18. sort
  19. start
  20. stick
  21. structure
  22. subtracting
  23. swedish
  24. unfolds
  25. von