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. 2023 Dec 6;20(12):1989–1999. doi: 10.1038/s41592-023-02084-7

Extended Data Fig. 2. Measurement of geometrical quantities on nonmanifold multimaterial triangle surface meshes.

Extended Data Fig. 2

a) Contact angles are calculated at each junction as the mean of dihedral angles in each triplet of triangles that constitutes the junction. A dihedral angle is computed from the unit normals to the two adjacent triangles. b) Junctions are lines that separate three different materials or regions (three cells or 2 cells and the cell medium). Their length can be easily defined and measured with our nonmanifold mesh data structure. c) Each cell is represented by a bounded volume (a discrete manifold). We can compute their volumes and areas from our multimaterial mesh data structure with formulas derived in the Supplementary Note. d) Mean discrete curvatures can be computed using the cotangent formula (see Supplementary Note).