Nontraditional Positional Games: New methods and boards for playing Tic-Tac-Toe

Document Type

Presentation Abstract

Presentation Date

4-16-2012

Abstract

In this talk we explore variations on Tic-Tac-Toe. We will consider positional games played using a new type of move called a hop. A hop involves two parts: move and replace. in a hop the positions occupied by both players will change: one will move a piece to a new position and one will gain a new piece in play. We play hop-positional games on a traditional Tic-Tac-Toe board, on the finite planes AG(2,q) and PG(2,q) as well as on a new class of boards which we call nested boards. The game outcomes for several classes of boards are determined using weight functions to define player strategies.

Additional Details

Monday, 16 April 2012
3:10 p.m. in Math 103
4:00 p.m. Refreshments in Math Lounge 109

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