Tentative list of topics for Math Club 4:
- Are you good at giving directions? Learning to follow and formulate instructions.
- Pentominoes in 2D and 3D.
- Blokus game: a game of constrained growth.
- Knots: tie your shoes! How about braids?
- Fold and cut theorem: How to cut only once?
- Ghost Blitz: How fast can you match shapes and colors, or none of them?
- Game of SET: all the same or all different!
- Game of Spot-It: A Game in the Projective Plane!
- What color is your hat? The King’s Wise Men and their problems.
- Logic table: How to tell a knave from a knight? Game of Cat crimes!
- Types of symmetries: mirror, rotational, translational, any more?
- Even more symmetry: two holes with a single punch? Can we do better?
- The skyscraper problem: How can city streets be arranged?
- Keva: The skyscraper problem: You build a circular tower out of rectangular planks?
- Projections: Can side views tell us everything about an object?
- Nets: What do 3D objects look like when flat?
- Zome: How to go from 2D to 3D with just balls and sticks?
- Chances: how many times to roll a dice to get a 7?
- Fractals: let’s look for things that repeat themselves!
- Topology: from donuts and mugs to Klein bottles!
- Linguistics: What makes a language?
- Binary numbers: How do computers see numbers?
- Cyphers: How to write secret messages and how to read them?
- Game theory: Can you always win? How about your opponent?
- Tessellation: Are there shapes that can fill the entire board without gaps or overlaps ? How about shapes that never repeat?
- Guesstimation: Which one is more frequent in the world? Math teachers or tractors?