full transcript

## Unscramble the Blue Letters

And other mathematicians did the same sort of thing. A Swedish mathematician, von Koch, decided that instead of suiatnrtbcg lines, he would add them. And so he came up with this biuuafetl curve. And there's no particular reason why we have to start with this seed shape; we can use any seed shpae 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 ptoerpry of self-similarity: the part looks like the whole. It's the same pattern at many different scales.

## Open Cloze

And other mathematicians did the same sort of thing. A Swedish mathematician, von Koch, decided that instead of ___________ lines, he would add them. And so he came up with this _________ curve. And there's no particular reason why we have to start with this seed shape; we can use any seed _____ 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 ________ of self-similarity: the part looks like the whole. It's the same pattern at many different scales.

1. shape
2. subtracting
3. property
4. beautiful

## 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

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