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FilenameFormatSizeDescription
pace3496-sup-0001-Video1.avi909K

Video 1. Movie illustrating the stable ellipsoidal fit for animal 1, where the ellipsoidal model provides an excellent fit to the observed crystal positions, although the linear model of global twist used to compute torsion does not describe the relative angular movement of measurement sites well, which may be due to the fact that there is little consistent angular displacement, as is evident from the bottom right panels showing the evolution of projected crystal positions in internal ellipsoidal coordinates. Coordinates for all 3D plots are transformed to position the most basal crystal in the xy-plane and align the longitudinal axis of the estimated ellipsoid with the z-axis. Green crosses indicate crystal positions, red circles the corresponding closest point on the ellipsoid surface, and green lines the orthogonal distance vector. The XY-perspective is seen from the apex. The temporal development of the ellipsoidal coordinates used for twist quantification is displayed in the bottom right panel for each pacing mode. For details, see the main the text and Appendix. Encoding: MPEG-4 and WMV, Resolution: 1920 × 1170.

pace3496-sup-0002-Video2.avi1136K

Video 2. Movie illustrating the stable ellipsoidal fit for animal 3, where the linear model of global twist describes the relative angular movement of measurement sites well. Layout of plots is identical to Video 2. Encoding: MPEG-4 and WMV, Resolution: 1920 × 1170.

Software Supplement. MATLAB™ programs for calculating and visualizing the orthogonal distance regression to an ellipsoid under various constraints (will be made available under an open source license at the time of publication).

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