10/7/2018 |
We will start the school year with an an overview of math problems and puzzles involving a chessboard (with and without chess pieces) and solving techniques including tiling, coloring and invariance principle.
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10/14/2018 | In this meeting we will explore the symmetries of different objects like squares, rectangles, and coins. We will see how these symmetries interact with each other to form a structure called a *group.* [Show less] |

10/21/2018 | Having experimented with the groups of symmetries of the rectangle+string model, we will define groups and explore associated concepts such as subgroups, group actions, isomorphisms, orbits, and stabilizers. [Show less] |

10/28/2018 | In this meeting, our goal is to construct a strange new geometry where straight lines are circles and triangles have angles that sum to less than 180. We start with circle inversions and then introduce the Poincaré disc model. [Show less] |

11/4/2018 | We will continue our exploration of the Poincaré disc and prove facts about hyperbolic lines and shapes. [Show less] |

11/11/2018 | We will keep working in the Poincare disc and discover phenomena peculiar to hyperbolic geometry such as AAA congruence, Lobachevskii's Theorem, and Schweikart's constant. [Show less] |

11/18/2018 | We look at more peculiar hyperbolic facts, like the hyperbolic Pythagorean theorem and the angle of parallelism. [Show less] |