Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: Analytical Determination of the Proximity of Two Right-Circular Cylinders in Space J. Mechanisms Robotics. 2016;8(4):041010-041010-10. doi:10.1115/1.4032211 Figure Legend: Examples of special cases. These include the cases when there is interference and the solution of proximal points being one-/two-dimensional. (a) One point interference: the solution is given by P(S, S). (b) One common face: the two cylinders are parallel to each other and the faces overlap when seen along the axes. It has a two-dimensional solution. (c) Interfering cylinders: the curve of intersection is given by the formulation for finding P(S, S) described in Sec. 3.1. (d) Solution given by P(S, S). The axes of the cylinders are parallel to each other and the proximal points form line segments Ls1 on the cylinder E1 and Ls2 on the cylinder E2. (e) Solution given by P(D, L). The axes of the cylinders are orthogonal to each other and the proximal points form line segments LD on the disk and LS on cylindrical surface.