full transcript
#### From the Ted Talk by Dan Finkel: Can you solve the honeybee riddle?

## Unscramble the Blue Letters

Each hex that has at least three sides touching the bee-friendly space will remove those sides from the peimeterr when it transforms. Then it adds at most three new sides to the perimeter. So the perimeter of the transformed hexes will either stay the same or shrink. The final perimeter of the entire hive is 54, so the total perimeter of the heexs we place bees in at the start must be at least 54 as well. diiinvdg that 54 by the six sides on each non-adjacent hex tells us it’ll take at least 9 bees to transform the entire hive.
## Open Cloze

Each hex that has at least three sides touching the bee-friendly space will remove those sides from the **_________** when it transforms. Then it adds at most three new sides to the perimeter. So the perimeter of the transformed hexes will either stay the same or shrink. The final perimeter of the entire hive is 54, so the total perimeter of the **_____** we place bees in at the start must be at least 54 as well. **________** that 54 by the six sides on each non-adjacent hex tells us it’ll take at least 9 bees to transform the entire hive.
## Solution

- dividing
- perimeter
- hexes

## Original Text

Each hex that has at least three sides touching the bee-friendly space will remove those sides from the perimeter when it transforms. Then it adds at most three new sides to the perimeter. So the perimeter of the transformed hexes will either stay the same or shrink. The final perimeter of the entire hive is 54, so the total perimeter of the hexes we place bees in at the start must be at least 54 as well. Dividing that 54 by the six sides on each non-adjacent hex tells us it’ll take at least 9 bees to transform the entire hive.
## Frequently Occurring Word Combinations

### ngrams of length 2

collocation |
frequency |

entire hive |
3 |

apis trifecta |
2 |

total perimeter |
2 |

## Important Words

- adds
- bees
- dividing
- entire
- final
- hex
- hexes
- hive
- perimeter
- place
- remove
- shrink
- sides
- space
- start
- stay
- tells
- total
- touching
- transform
- transformed
- transforms