Systems and methods for providing a molten salt reactor can include a graphite reactor core that defines an internal space, with multiple fuel wedges being received in the internal space, and with the wedges each defining a fuel channel extending from a first end to a second end of each of the wedges. The reactor can further include a fuel pin rod that defines an internal fuel conduit and that is disposed between at least two of the wedges. The reactor core can also define a fuel ingress port and a fuel egress port. The reactor core can further be rotatably received within a reactor housing such that the ports are configured to become at least one of more occluded and less occluded as the reactor core rotates.