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

- unfolds
- lines
- scales
- 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

- add
- beautiful
- curve
- decided
- iteration
- koch
- lines
- mathematician
- mathematicians
- part
- pattern
- property
- rearrange
- reason
- scales
- seed
- shape
- sort
- start
- stick
- structure
- subtracting
- swedish
- unfolds
- von