Kimberling's book Triangle Centers and Central Triangles published in 1998 describes nearly 400 various centers and his online encyclopedia currently lists in excess of 500 remarkable points. Most of these were first discovered with the help of computer. Computers open new horizons for experimentation while still keeping experiments inexpensive. As a tool in mathematics education, computers hold a promise to get more students involved in mathematical experimentation. It remains to be seen whether many will and with what results.
Experimentation leads to uncertainty.
No doubt many students will find this difficult. New pedagogy will be required to teach how to use computers successfully. Meanwhile, I wish to offer a curious example. I borrowed the example from Paul Yiu's lecture at the 7 th Statewide Conference organized by Florida Higher Education Consortium, November 12, 1998. In each of the three triangles pass a straight line through its incenter and circumcenter.