A collapsible structure connection system including apparatus for connecting rod segments and apparatus for holding and organizing rod segments. An apparatus for connecting rod segments, such as a pole tip and final rod segment, or two rod segments, may have a pair of mated rod segments and a spring-loaded push-button locking mechanism, with the rod segments connected using an elastomeric connector attached to each rod segment at adjacent, opposing ends. The elastomeric connector may be attached to and held in place against the rod segment using an attachment assembly that may be threaded or unthreaded, and that may mate, or not mate, within the rod segment upon securing the attachment assembly to the rod segment. The spring-loaded push-button locking mechanism may have a spring-loaded push-button seated on a dowel of a male body, and a cavity aperture traversing a dowel cavity of a female body.