A building toy and a method of building with it. The toy is designed to be constructed of a rigid and generally non-deformable material such as, but not limited to, wood and particularly hardwood, and is constructed in the fashion of a log-style building toy. The toy utilizes interconnecting notches in its construction, but provides for a variety of specialized pieces which allow for interconnection of parts where there is one notch but not another, as well as the ability to build roofs, floors, and specialty structures such as fireplaces through the use of specialized components. Further, the use of more strongly connecting components allows for stronger structures to be built. This includes, but is not limited to various types of bridges, including arch, suspension, and cable stay.