Math clubs 3 and 4

Tentative list of topics for Math Clubs 3 and 4.

• Are you good at giving directions? Learning to follow and formulate instructions.
• Pentominoes in 2D and in 3D.
• Blokus game: 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 are city streets arranged?
• Keva: can 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? How about shapes that never repeat?
• Guesstimation: which one is more frequent in the world? Math teachers or tractor