Pyramid Surface

Hello,

So I need some help removing extra lines from these pyramids. I would like be able to toggle through each of these sets of triangles (currently being controlled by area) and move the top of the pyramid by a certain amount. 

Right now I have extra lines connecting pyramids to each other. I would like each Triangle to be its own pyramid with no extra lines. 

My inputs are one larger Triangle Surface and a series of interior lines that divide the surface (srfsplit) it into a series of smaller triangles (these act as the base to the pyramids). From there I am using Area to find a center point to move vertically. My problem comes with overlapping data points connecting where they shouldn't. 

What I am trying to do overall is create pyramids where the largest area has the tallest peak and the smallest area has the smallest peak. I am having some trouble doing this. 

If anyone can help me that would be great.