How to convert a right angled triangle into a equilateral triangle?

Question

I want to use the Apophysis program to make a right angled sierpinski triangle into an equilateral triangle. But how can i do so? i have tried the second picture one but that is not correct.

Answer 1

This question has been asked before and answered before. It can be done with a transformation that comes standard with the Finite Element Method (a so-called isoparametric transformation). Once you have transformed the main triangle, then all of the little triangles inside the main one will be transformed accordingly.