Systems and methods for providing a molten salt reactor are described. While the systems can include any suitable component, in some cases, they 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. In some cases, the reactor further includes a fuel pin rod that defines an internal fuel conduit and that is disposed between at least two of the wedges. In some cases, the reactor core defines a fuel ingress port and a fuel egress port. In some such cases, the reactor core is 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. Other implementations are described.