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# Math Circle at the University of Washington

## 2nd Year 2014-2015 (Archive)

The Second Year Circle will meet on Thursdays from 5 to 7 PM in Loew Hall room 115.

Session 1 (09.25.2014) Cutting (PDF) Homework 1: Cutting various objects and observing the results
Session 2 (10.02.2014) Pascal's Triangle (PDF) Homework 2: Exploring properties of Pascal's triangle
Session 3 (10.9.2014) Chromatics (PDF) Homework 3: How to properly color graphs given some number of colors
Session 4 (10.16.2014) Chromatics and Flows (PDF) Homework 4: Chromatic polynomials and making flows on a graph
Session 5 (10.23.2014) Flow Polynomials (PDF) Homework 5: Introductions to flow polynomials
Session 6 (10.30.2014) Duality (PDF) Homework 6: Graph duality and the connection between flow/chromatic polynomials
Session 7 (11.06.2014) Flat Folding (PDF) Homework 7: Origami, and some ways to fold flat vs. not
Session 8 (11.13.2014) Modules (PDF) Homework 8: Modular origami with PHiZZ and Sonobe units
Session 9 (11.20.2014) Block Design (PDF) Homework 9: Setting up games with k players so they play each other n times
Session 10 (12.04.2014) Math auction - no homework
Session 1 (01.15.2015) Dots and Boxes (PDF) Homework 11: Play dots and boxes with your friends (beat them)
Session 2 (01.22.2015) Nim (PDF) Homework 12: The game of Nim and other impartial deterministic games
Session 3 (01.29.2015) Grundy Numbers (PDF) Homework 13: Grundy Numbers (nimbers) applied to games other than Nim
Session 4 (02.05.2015) Partial Games Partial games -- order matters
Session 5 (02.12.2015) Permutation Patterns (PDF) Homework 15: Permutation Patterns for rearrangements of 1-2-3
Session 6 (02.19.2015) No homework Introduction to Catalan Numbers
Session 7 (02.26.2015) Catalan Numbers (PDF) Homework 17: Catalan Numbers and their relation to various problems
Session 8 (03.05.2015) No homework Hats on heads
Session 9 (03.12.2015) No homework TBA
Session 10 (03.17.2015) No homework TBA
Session 1 (04.02.2015) No homework Rope twisting
Session 2 (04.09.2015) No homework More games
Session 3 (04.16.2015) No homework Choosing a pizza topping (a winner)
Session 4 (04.23.2015) No homework More voting strategies (means and oddities with them)
Session 5 (04.30.2015) Estimates of 2, 3, 5, 7 Sequence similarity (if you'd like the program, it is here