IJPAM: Volume 28, No. 3 (2006)
Department of Mathematics and Informatics
Faculty of Sciences
Trg. D. Obradovica 4, University of Novi Sad
Novi Sad, 21000, SERBIA
Secondary School ``Jovan Vukanovic''
Gagarinova 1, 21000, Novi Sad, SERBIA
Abstract.The well known game of HEX uses the following corollary of the Jordan Curve Theorem, so-called Theta-Curve Theorem: An open Jordan curve with its endpoints on a closed Jordan curve , but otherwise located in the bounded part, divides the closure of the bounded part into two parts.
Some students in a honor class, who have not been previously
exposed to homology theory, after being motivated by the game of
HEX, may be given direct and elementary proofs of the polygon
case of both the Jordan Curve Theorem and the Theta-Curve
Received: March 21, 2006
AMS Subject Classification: 40D25, 40D05, 51A20
Key Words and Phrases: Jordan curve, neighborhood, interior, boundary
Source: International Journal of Pure and Applied Mathematics