may 17

• which of these tiles can tile the whole plane?
  


• Analyze Nim₄, Nim₅. What about Nim_1,3 (you can take 1 stone or 3 stones, but not 2...)?


• Can you partition with one straight cut these figures so that each part has the same area of red and white?
  
  
  
• Split payment fairly...

Homework

• Can one tile the plane using these shapes?
  
  


• Create the table of winning and losing in the Nim_1,4 game (one can take 1 or 4 stones). Who wins if you start with 99 stones? 100? 101?


• Cutting the shapes! - the problem above is still unsolved!