Articles, systems, and methods related to the configuration of electrically non- conductive materials and related components in electrochemical cells are generally described. Some inventive electrochemical cell configurations include an electrically non-conductive material (e.g., as part of the electrolyte) that is configured to wrap around the edge of an electrode to prevent short circuiting of the electrochemical cell. In some embodiments, the electrically non-conductive material layer can be arranged such that it includes first and second portions (one on either side of an electrode) as well as a third portion adjacent the edge of the electrode that directly connects (and, in some cases, is substantially continuous with) the first and second portions.; The electrically non- conductive material layer can be relatively thin while maintaining relatively high electrical insulation between the anode and the cathode, allowing one to produce an electrochemical cell with a relatively low mass and/or volume. The arrangements described above can be formed, for example, by forming a multi-layer structure comprising an electrode and an electrically non-conductive material layer (e.g., as a coating), and folding the multi-layer structure such that the electrically non-conductive material covers the convex surface portion of the resulting crease.