Algorithm for equilateral triangle. Formula to find the x and the y of the third point given any two points.?

Question

I'm trying to make a Koch snowflake. First you divide the line in thirds. Then the Third-points are the endpoints of the bottom of an equilateral triangle above them, is a third point obviously 60 degrees from either point ( or -120) and the distance of the bottom away.

Answer 1

Had a search around and found this article which gives Pascal source code to create one, the formulas are easy to pick out -

http://www.efg2.com/Lab/Library/UseNet/1997/0219.txt