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a. Piecewise procrustes 3D to 4D, 1 piece

b. Piecewise procrustes 3D to 4D, 2 pieces

c. Triangulation blobs

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d. Alternative map conformation

e. Comparison of map conformations

f. Bootstrap volume radii

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Supplementary Data 3 | Validation of the A(H5) antigenic map.  
Interactive versions of the three-dimensional antigenic map, represented as described for Supplementary Data 2. (a, b) Piecewise Procrustes analysis (see Extended Data Fig. 2 and detailed in Supplementary Note 3) comparing the antigenic maps in three and four dimensions. The results of analysis with one (a) and two (b) pieces are displayed. The antigen colour hue indicates which piece it belongs to, and the shading indicates the Procrustes distance according to the gradient displayed on the right, in antigenic units (AU). (c) Triangulation blobs indicating the area in which each datapoint can be located in the antigenic map without increasing the total map stress by more than one unit. (d) Alternative antigenic map conformation found upon comparing all 1000 optimizations (see Extended Data Fig. 4 and Supplementary Note 3). The map from optimization 568 is shown. (e) The lowest stress antigenic map (optimization 1), with Procrustes arrows pointing towards the positions of each antigen and serum in the optimization 568 map conformation. (f) Bayesian bootstrap blob size analysis. The antigen colour corresponds to the radius (AU) of a sphere of equal volume than each blob as displayed on the right. For interpretation, 1-2 AU differences correspond to the HI assay variation.