3D Ternary Diagram.

Hi, I have built ternary phase diagram. However, I have one more variable parameter (temperature) which I wish to include in the diagram. So, I want to plot 3D Ternary diagram (like a prism), three variables at the bottom (compositions) and one variable -height (Temperature).

I have built 2D diagram according to a file [Ternplot by Carl Sandrock]. Can anybody help me, how to make it 3D, with additional variable in height.

Thank you.

Kind regards, Roman