Classification of analytical surfaces as applied to parametrical architecture and machine building

At present time, the architects began to show interest in the creation of space large-span shapes due to advent of new materials and building construction technologies. Increased ergonomic requirements for structures and erections are now a great significance. This approach can be seen in many projects, both implemented in material and still being at the stage of drafts and blueprints. Now in economically safe countries, there has already been a splash in the creation of new unique structures, including spatial ones with complex surfaces. It is necessary to prepare for such prospect also in our country. Currently, a large number of surface classifications is offered, but they do not cover the all variety of known surfaces. This article introduces a classification of both new and widely known surface shapes as applied to the structures of building and industrial purposes. A detailed classification of analytic surfaces of 38 classes is constituted. An extensive bibliography containing 40 references is presented for convenient search of studies in the field of geometry and strength analysis of thin shells with the non-canonical middle surfaces.