The disclosure includes methods and systems for making orthopedic connections where there is unique adjustability to the connection. Illustratively, one embodiment provides a connecting assembly for connecting a plurality of orthopedic components. Such connecting assemblies can include a first orthopedic component that provides a female bore (342). Additionally, the assembly can include a second orthopedic component that can be or include a male-type connecting member (340) that is positionable in the bore of the first orthopedic component. The male-type connecting member is in the form of a quasi-spherical member (340). The quasi-spherical member can include a textured outer surface, e.g., for contacting one or more walls or surfaces in the bore in a fashion that removably locks or helps to removably lock or fix the quasi-spherical member in the bore.