full transcript
#### From the Ted Talk by Marcus du Sautoy: Symmetry, reality's riddle

## Unscramble the Blue Letters

Now it matters what order you do the operations in. And this enables us to distinguish why the symmetries of these objects — they both have six smmeeitrys. So why shouldn't we say they have the same symmetries? But the way the symmetries iraetcnt enable us — we've now got a lgnuagae to distinguish why these symmetries are fundamentally different. And you can try this when you go down to the pub, later on. Take a beer mat and rotate it by a qauetrr of a turn, then flip it. And then do it in the other order, and the picture will be facing in the opposite direction.
## Open Cloze

Now it matters what order you do the operations in. And this enables us to distinguish why the symmetries of these objects — they both have six **__________**. So why shouldn't we say they have the same symmetries? But the way the symmetries **________** enable us — we've now got a **________** to distinguish why these symmetries are fundamentally different. And you can try this when you go down to the pub, later on. Take a beer mat and rotate it by a **_______** of a turn, then flip it. And then do it in the other order, and the picture will be facing in the opposite direction.
## Solution

- symmetries
- quarter
- language
- interact

## Original Text

Now it matters what order you do the operations in. And this enables us to distinguish why the symmetries of these objects — they both have six symmetries. So why shouldn't we say they have the same symmetries? But the way the symmetries interact enable us — we've now got a language to distinguish why these symmetries are fundamentally different. And you can try this when you go down to the pub, later on. Take a beer mat and rotate it by a quarter of a turn, then flip it. And then do it in the other order, and the picture will be facing in the opposite direction.
## Frequently Occurring Word Combinations

### ngrams of length 2

collocation |
frequency |

symmetrical object |
7 |

symmetries interact |
4 |

magic trick |
3 |

symmetrical objects |
3 |

mathematical language |
3 |

scientific world |
2 |

genetic information |
2 |

large hadron |
2 |

hadron collider |
2 |

undesirable leaving |
2 |

reflective symmetry |
2 |

moorish artists |
2 |

zeroth symmetry |
2 |

turn anticlockwise |
2 |

trick move |
2 |

abstract idea |
2 |

combined effect |
2 |

### ngrams of length 3

collocation |
frequency |

large hadron collider |
2 |

magic trick move |
2 |

## Important Words

- beer
- direction
- distinguish
- enable
- enables
- facing
- flip
- fundamentally
- interact
- language
- mat
- matters
- objects
- operations
- order
- picture
- pub
- quarter
- rotate
- symmetries
- turn