A Review of Geometry Investigations of Helicoids

This paper presents research on geometry of helicoids which occurred in different papers. The purpose of the paper is to show a variety in types of helical surfaces which are not well known, and discuss their possible application in architecture and civil engineering. This review is a first stage of a wide investigation on stress-strain analysis methods as applied to helical structures. Author's attention is paid to the differences in terms, geometry and materials used for these shells, and future possibilities of application of five types of helicoid are also discussed. The work would be interesting for architects, civil engineers, mathematicians and designers, and could lead to a progress in material usage efficiency. © Published under licence by IOP Publishing Ltd.