VISUALIZATION OF GEOMETRIC OBJECTS USING PROGRAM PACKAGE MATHEMATICA

Abstract

In geometry teaching, visualization is an indispensable method of work. Its importance is emphasized in the study of abstract theories when the human mind is not capable enough to perceive the regularities determined by complex mathematical formulas without adequate images illustrating the problem. This is also the case with the theory of infinitesimal bending, that has recently been explored and represented with the use of computers. Use of computers, as an indispensable didactic tool for modern teaching, can be very effective supplement to the traditional theoretical considerations. In this paper, firstly we determine the infinitesimal bending field of curves on the hyperbolic paraboloid, and then visualize the obtained results using the Mathematica program to see how visualization helps us to study geometric content.