Connectors for a framing system

A connector for a framing system comprising:

• a cube with a plurality of faces, the plurality of faces including a first face and a second face, wherein the first face and the second face are positioned in planes that are orthogonal and adjacent to each other;
• a first pair of flanges configured to extend away from the first face, the first pair of flanges including a first flange and a second flange, wherein the first flange is symmetrically mirrored with the second flange, a length of the first flange being longer than a width of the first flange;
• a second pair of flanges configured to extend away from the second face, wherein the first pair of flanges and the second pair of flanges have orthogonal symmetry about the cube.