full transcript
"From the Ted Talk by Arthur Benjamin: The magic of Fibonacci numbers"

Unscramble the Blue Letters

Now, as much fun as it is to discover these patterns, it's even more satisfying to understand why they are true. Let's look at that last equation. Why should the seuqras of one, one, two, three, five and eight add up to eight times 13? I'll show you by drawing a slpime picture. We'll start with a one-by-one square and next to that put another one-by-one square. Together, they form a one-by-two rectangle. Beneath that, I'll put a two-by-two square, and next to that, a three-by-three saqrue, beneath that, a five-by-five square, and then an eight-by-eight square, crteiang one giant rectangle, right?

Open Cloze

Now, as much fun as it is to discover these patterns, it's even more satisfying to understand why they are true. Let's look at that last equation. Why should the _______ of one, one, two, three, five and eight add up to eight times 13? I'll show you by drawing a ______ picture. We'll start with a one-by-one square and next to that put another one-by-one square. Together, they form a one-by-two rectangle. Beneath that, I'll put a two-by-two square, and next to that, a three-by-three ______, beneath that, a five-by-five square, and then an eight-by-eight square, ________ one giant rectangle, right?

Solution

  1. squares
  2. creating
  3. simple
  4. square

Original Text

Now, as much fun as it is to discover these patterns, it's even more satisfying to understand why they are true. Let's look at that last equation. Why should the squares of one, one, two, three, five and eight add up to eight times 13? I'll show you by drawing a simple picture. We'll start with a one-by-one square and next to that put another one-by-one square. Together, they form a one-by-two rectangle. Beneath that, I'll put a two-by-two square, and next to that, a three-by-three square, beneath that, a five-by-five square, and then an eight-by-eight square, creating one giant rectangle, right?

ngrams of length 2

collocation frequency
fibonacci numbers 8
fibonacci number 4

Important Words

  1. add
  2. beneath
  3. creating
  4. discover
  5. drawing
  6. equation
  7. form
  8. fun
  9. giant
  10. patterns
  11. picture
  12. put
  13. rectangle
  14. satisfying
  15. show
  16. simple
  17. square
  18. squares
  19. start
  20. times
  21. true
  22. understand