November 17

• Warmup: 
• what is bigger, $754/344$ or $75/34$? 
• tile the plane with devils
• Binomial coefficients. Pascal triangle.
• Return to counting paths in a graph...
• Sets. Formulae. Subsets: predicates and interpretations.
• Game B&C?

November 10

• Warmup: 
• what is bigger, $354/734$ or $35/73$? 
• what is the last digit of $1\times 2\times \ldots\times 11\times 12$? 
• Induction: cut 2^n x 2^n square - one corner into L-trigons.
• Squares on the surface of $10\times 10\times 10$ cube are painted in white and black.
• How many squares are altogether?
• If 301 square is painted white, is there always a pair of opposite white squares?
• Return to counting paths in a graph...
• Sets. Formulae. Subsets: predicates and interpretations.
• Game B&C?
  

Homework

• Draw the areas described by the formulas

November 3

Past homework:

• prism+tetrahedron
• cutting the cube to get regular 5-gon

New:

• Extending faces of cube, they partition space into how many pieces?
• Same about tetrahedron, prism, octahedron
• x^3=5/4 y^2=9/8. What is greater, x or y?
• Roll coins
• Wire-frame with sides 3,4,12. That is the distance between endpoints?
• Induction: cut 2^n x 2^n square - one corner into L-trigons.

Sets,