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

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

C. Stress blobs

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D. Alternative map conformation

E. Comparison of map conformations

F. Bootstrap volume radii

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Data S3. Validation of the A/H5 antigenic map. Interactive versions of the three-dimensional antigenic map, represented as described for Data S2. (A, B) Piecewise Procrustes analysis (fig. S2 and detailed in the supplementary text) comparing the A/H5 antigenic maps in three and four dimensions. The resulting analyses with one (A) and two (B) pieces are displayed. The antigen color hue refers to a piece, 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 a particular antigen or serum 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 optimization 1 to 1000 (fig. S4). The map from optimization 602 is shown. Details of this analysis are described in the supplementary text. (E) The A/H5 antigenic map (optimization 1), with Procrustes arrows pointing towards the positions of each antigen and serum in the alternative map conformation (optimization 602). (F) Bayesian bootstrap blob size analysis. The antigen color corresponds to the radius (AU) of the blob volume if it were a sphere as displayed on the right.