full transcript
"From the Ted Talk by Daniel Finkel: Can you solve the time travel riddle?"

Unscramble the Blue Letters

Let’s look at just the nodules on the other end of those same three color connections. If the connections were blue, then any additional blue connection between those three would give us a blue triangle. So the only way we could get in tolbure is if all the connections between them were red. But those three red connections would give us a red triangle. No matter what happens, we’ll get a red or a blue triangle, and open our doorway. On the other hand, if the oiiangrl three connections were all red instead of blue, the same argument still works, with all the corlos flipped. In other words, no matter how the ctioeocnnns are colored, six nodules will always create a red or blue triangle and a doorway lainedg home.

Open Cloze

Let’s look at just the nodules on the other end of those same three color connections. If the connections were blue, then any additional blue connection between those three would give us a blue triangle. So the only way we could get in _______ is if all the connections between them were red. But those three red connections would give us a red triangle. No matter what happens, we’ll get a red or a blue triangle, and open our doorway. On the other hand, if the ________ three connections were all red instead of blue, the same argument still works, with all the ______ flipped. In other words, no matter how the ___________ are colored, six nodules will always create a red or blue triangle and a doorway _______ home.

Solution

  1. connections
  2. leading
  3. colors
  4. trouble
  5. original

Original Text

Let’s look at just the nodules on the other end of those same three color connections. If the connections were blue, then any additional blue connection between those three would give us a blue triangle. So the only way we could get in trouble is if all the connections between them were red. But those three red connections would give us a red triangle. No matter what happens, we’ll get a red or a blue triangle, and open our doorway. On the other hand, if the original three connections were all red instead of blue, the same argument still works, with all the colors flipped. In other words, no matter how the connections are colored, six nodules will always create a red or blue triangle and a doorway leading home.

ngrams of length 2

collocation frequency
blue triangle 6
red triangle 4

Important Words

  1. additional
  2. argument
  3. blue
  4. color
  5. colored
  6. colors
  7. connection
  8. connections
  9. create
  10. doorway
  11. flipped
  12. give
  13. hand
  14. home
  15. leading
  16. matter
  17. nodules
  18. open
  19. original
  20. red
  21. triangle
  22. trouble
  23. words
  24. works