This application takes ranking data from a three person election and creates representation triangles that depict the results of the election both numerically and geometrically for a number of different voting systems.  The numerical profile makes it straightforward to calculate the results of the election under a number of different systems while the geometric profile displays the procedure line and the approval voting region and specifically the plurality, anti-plurality and Borda count results.  

This is an improvement over the first author's earlier, similar application.  The geometric profile is rendered as a two-dimensional object and additional election results are made explicit.