Surface alpha shape triangulation

I am looking for a way to get the surface triangulation of an alpha shape, seen when you plot the alpha shape using this command plot(shp). Boundary facets when plotted with trisurf does not give me something resembling the output of the plot command and I don't want tetrahedrons so alphaTriangulation is not what I want either. Does anyone have any experience with this? This is my output of plot(shp) and I just want a way to identify the triangles that make up what I am seeing on the screen.