Vehicle corner modules (VCMs) connectable to a VCM-connection interface of a reference-frame of a vehicle platform, for regulating motion of a vehicle. When a wheel is mounted on a wheel-hub assembly of the VCM, a vehicle-connection interface of the VCM is disposed within a cylindrical footprint of the wheel. At least one of the at least one subsystem of the VCM is accommodated between the wheel-hub assembly and the vehicle-connection interface. Vehicle platforms are connectable to the VCMs. The connection of the vehicle platform to the VCM may include connection of subsystems of the VCM to electronic or flow subsystems mounted on the vehicle platform by connection of two portions of a multi-interface connection-element.