Compared to Supplementary Figure , clearer boundaries to distinguish stars, cubes, and rods are observed. For each dimension, the order of precursors is sorted by the absolute values of the linear coefficients (shown as exponents), and the full description of the axes and grouping of precursor sets are in the SI. We observe that various precursor sets used in our dataset can be mapped to form clusters on this synthesis space after dimensionality reduction. Specifically, the two most common precursor sets in nanorod synthesis in Table are observed as two somewhat distinct clusters (labeled as PS1 without acid and PS2 with HCl in Figure ). The most common precursor set for nanocube is also observed as PS3 in Figure , also with three nanorod recipes that also corresponds to the third decision criterion leading to cube in Figure . PS4 is concave cube synthesis, showing some distance from the rest of the nanocube syntheses due to the use of AgNO 3 . For star and bipyramid syntheses, two precursor sets (PS6 and PS7 in Figure ) are observed in both syntheses, but separated by multiple factors including HCl in growth solution and AuCl - 4 in seed solution, consistent with decision criteria in Figure .