Saturday, December 20, 2014

dec 21: in lieu of math circle...

  • Divide the square with two straight cuts into pieces so that each contains 2 cherries.


  • Baby buffalo wants to go from her mom to her dad (visiting her aunt on the way. She is safe as long as she is closer to a buffalo than to any of the lions. How should she go?

  • On a regular dice, the sum of dots on the opposite faces is always 7. 




 We cut the dice to get this development: can you reconstruct the dots on the left four faces?

Monday, December 8, 2014

december 7

Spent a lot of time rotating triangles.

Tried to get frogs to cross train tracks between two looooooong trains. The gap between them is long enough for a frog to get across, but how you move 1000 of them?

Tried to block a very quick cyclist from escaping: he is so fast that he rides in straight lines only. Here how one can block him with four rectangular cars:


Can you do it with three round cars?