A. Color Plates

Figure A.1: Isophotes for surface of Fig. 8.1

Figure A.2: Reflection lines for surface of Fig. 8.1

Figure A.3: Gaussian curvature color map of surface in Fig. 8.11 (adapted from [255])

Figure A.4: Mean curvature color map of surface in Fig. 8.11 (adapted from [255])

Figure A.5: Maximum principal curvature color map of surface in Fig. 8.11 (adapted from [255])

Figure A.6: Minimum principal curvature color map of surface in Fig. 8.11 (adapted from [255])

Figure A.7: (a) Star pattern (extracted from lower left umbilic of Fig. 9.6), (b) monstar pattern (extracted from center umbilic of Fig. 9.6), (c) lemon pattern (extracted from lower umbilic of Fig. 9.1) (adapted from [257])

Figure A.8: Minimal geodesic paths on the generalized cylinder between two points of two circular edges (adapted from [247])