Although the program SimplePath works well, there are conditions under which it will occasionally fail (think collinear points). Experiment by repeatedly computing SimplePath for a set of ten points until you see the failure. Determine the conditions that must be imposed for the program to work consistently.

Modify the ChemicalSpaceFillingPlot function to add legends that give identifying information for each atomic element in the plot. Consider using

Create a dynamic interface similar to the triangle circumcenter example in this section but instead compute the orthocenter, which is located at the intersection of the three altitudes of the triangle. The altitude of a triangle is a line through a vertex perpendicular to the opposite side.

Legended and SwatchLegend. FIGURE 8.17. Space-filling plot of serotonin (with legends). Oxygen Nitrogen Carbon Hydrogen