| 21 | | \item Craig Carter came up with a convex hull construct to find the |
| 22 | | lowest-energy manifold of a free energy function or set of functions. Based |
| 23 | | on that concept, ternary will use qhull to calculate that hull, and visualize |
| 24 | | the edges of the resulting triangles---which will clearly show the one-, two- |
| 25 | | and three-phase regions, complete with two-phase tie lines. |
| | 21 | \item Craig Carter used a convex hull construct to find and illustrate the |
| | 22 | lowest-energy manifold of a binary free energy function or set of |
| | 23 | functions.\footnote{Though others have noted the relationship between the |
| | 24 | convex hull and the minimum enengy surface before ({\em e.g.} |
| | 25 | \cite{Var1990,Aic2001,Aic2003,Zho2004}), Carter's Mathematica scripts are |
| | 26 | the inspiration for this work.} Based on that concept, ternary will use |
| | 27 | {\tt qhull} to calculate that hull, and visualize the edges of the resulting |
| | 28 | triangles---which will clearly show the one-, two- and three-phase regions, |
| | 29 | complete with two-phase tie lines. |