full transcript

## Unscramble the Blue Letters

Now, let me give you another example. This is a very slipme prop. This is made from two layers of plastic with four pins connected to each other. Imagine these four pins represent four cities that are equally apart, and we would like to make roads to connect these four cities. My question is: What is the shortest length to cnocnet these four ceitis? Let's find out the answer by dipping it into the soapy wetar. Remember, the soap bubble frmos will always try to minimize their surface area with a perfect geometry arrangement. So the solution might not be something you expected. The shortest length to connect these four cities is 2.73 teims the distance between these two cities.

## Open Cloze

Now, let me give you another example. This is a very ______ prop. This is made from two layers of plastic with four pins connected to each other. Imagine these four pins represent four cities that are equally apart, and we would like to make roads to connect these four cities. My question is: What is the shortest length to _______ these four ______? Let's find out the answer by dipping it into the soapy _____. Remember, the soap bubble _____ will always try to minimize their surface area with a perfect geometry arrangement. So the solution might not be something you expected. The shortest length to connect these four cities is 2.73 _____ the distance between these two cities.

1. times
2. forms
3. water
4. connect
5. cities
6. simple

## Original Text

Now, let me give you another example. This is a very simple prop. This is made from two layers of plastic with four pins connected to each other. Imagine these four pins represent four cities that are equally apart, and we would like to make roads to connect these four cities. My question is: What is the shortest length to connect these four cities? Let's find out the answer by dipping it into the soapy water. Remember, the soap bubble forms will always try to minimize their surface area with a perfect geometry arrangement. So the solution might not be something you expected. The shortest length to connect these four cities is 2.73 times the distance between these two cities.

## Frequently Occurring Word Combinations

### ngrams of length 2

collocation frequency
soap bubble 3
surface area 3
geometry arrangement 3
giant bubbles 2
soapy water 2
creating bubbles 2
surface tension 2
single bubble 2
shortest length 2
bubble forms 2
perfect geometry 2
air bubbles 2

### ngrams of length 3

collocation frequency
soap bubble forms 2
perfect geometry arrangement 2

2. area
3. arrangement
4. bubble
5. cities
6. connect
7. connected
8. dipping
9. distance
10. equally
11. expected
12. find
13. forms
14. geometry
15. give
16. imagine
17. layers
18. length
19. minimize
20. perfect
21. pins
22. plastic
23. prop
24. question
25. remember
26. represent