Electronic Proceedings of the 12^th Asian Technology Conference in Mathematics

Abstract for 12755

Exploring the Possibility of Generalizing 2-Dimensional Geometric

Properties to 3-Dimensional Geometric Properties Using Computer

Tools

Authors: Dohyeon Kim, Seunguk Jang, Hyobin Lee, Yeongdae Kim

Affiliations: Korea Science Academy

Keywords: K-12 Level

In this paper we would show how we could use computer programs in

geometry researches. This paper contains the processes of exploring

the possibility of generalizing the properties of 2D-geometry to

that of 3D-geometry. Also, we would show how we could generalize

backward; we could generalize further on 2D-geometry using the

properties we found in 3D-geometry. In our research, we tried to

generalize triangular properties into polygons and tetrahedrons. The

computer tools we used are GSP and Cabri 3D. We used GSP for

2-dimensional researches and Cabri 3D for 3-dimensional researches.