full transcript
"From the Ted Talk by Robert Lang: The math and magic of origami"

#### Unscramble the Blue Letters

What pepar went into that flap? Well, if I unfold it and go back to the crease pattern, you can see that the upper left corner of that shape is the paper that went into the flap. So that's the flap, and all the rest of the paper's left over. I can use it for something else. Well, there are other ways of mikang a flap. There are other dimensions for flaps. If I make the flaps skinnier, I can use a bit less paper. If I make the flap as skinny as possible, I get to the limit of the minimum amount of paper needed. And you can see there, it needs a quarter-circle of paper to make a flap. There's other ways of making flaps. If I put the flap on the edge, it uses a half circle of paper. And if I make the flap from the middle, it uses a full circle. So, no mttear how I make a flap, it needs some part of a cliuarcr regoin of paper. So now we're ready to scale up. What if I want to make something that has a lot of fapls? What do I need? I need a lot of circles.

#### Open Cloze

What _____ went into that flap? Well, if I unfold it and go back to the crease pattern, you can see that the upper left corner of that shape is the paper that went into the flap. So that's the flap, and all the rest of the paper's left over. I can use it for something else. Well, there are other ways of ______ a flap. There are other dimensions for flaps. If I make the flaps skinnier, I can use a bit less paper. If I make the flap as skinny as possible, I get to the limit of the minimum amount of paper needed. And you can see there, it needs a quarter-circle of paper to make a flap. There's other ways of making flaps. If I put the flap on the edge, it uses a half circle of paper. And if I make the flap from the middle, it uses a full circle. So, no ______ how I make a flap, it needs some part of a ________ ______ of paper. So now we're ready to scale up. What if I want to make something that has a lot of _____? What do I need? I need a lot of circles.

1. matter
2. paper
3. flaps
4. circular
5. region
6. making

#### Original Text

What paper went into that flap? Well, if I unfold it and go back to the crease pattern, you can see that the upper left corner of that shape is the paper that went into the flap. So that's the flap, and all the rest of the paper's left over. I can use it for something else. Well, there are other ways of making a flap. There are other dimensions for flaps. If I make the flaps skinnier, I can use a bit less paper. If I make the flap as skinny as possible, I get to the limit of the minimum amount of paper needed. And you can see there, it needs a quarter-circle of paper to make a flap. There's other ways of making flaps. If I put the flap on the edge, it uses a half circle of paper. And if I make the flap from the middle, it uses a full circle. So, no matter how I make a flap, it needs some part of a circular region of paper. So now we're ready to scale up. What if I want to make something that has a lot of flaps? What do I need? I need a lot of circles.

#### ngrams of length 2

collocation frequency
crease pattern 8
stick figure 5
folded shape 4
origami figure 3
simple laws 3
uncut square 3

1. amount
2. bit
3. circle
4. circles
5. circular
6. corner
7. crease
8. dimensions
9. edge
10. flap
11. flaps
12. full
13. left
14. limit
15. lot
16. making
17. matter
18. middle
19. minimum
20. needed
21. paper
22. part
23. pattern
24. put