Modular building units, and methods of constructing and transporting same

An upper connector comprising:

• an upper connector hollow body having upper connector first and second ends, the first end being adapted for coupling to a gusset plate and the second end being adapted for receiving a first end of a second module frame;
• at least a pair of upper connector bosses coupled to the upper connector hollow body, wherein each boss protrudes from a face of the hollow body;
• and
• at least a pair of upper connector arms, each upper connector arm being coupled to and extending from the upper connector boss and having first and second apertures, the first aperture adapted for receiving a coupling means to couple the upper connector to the gusset plate and the second aperture adapted for receiving the fastening means to couple a lower connector to the upper connector;
• wherein each boss and the upper connector arm extending from the boss is positioned to be off-centered on the face of hollow body being proximate to the first end of the hollow body and distal from the second end of the hollow body, and wherein the hollow body has a beveled edge, with the upper connector arm extending from the boss sharing an edge with the beveled edge.