Abstract
This research proposes how to divide or distinguish a curved surface into gradual domains on the basis of the points arranged on the curved surface. It is shown that this method can make various forms from the form constituted in line to the form of field composition based on the free form curved surface. The fundamental idea is as follows. First, the creation method of Voronoi diagram is applied by making the points on a curved surface into generators. Next, space is divided by a tetragonal lattice and made discrete. And the random graph limited to the tetragonal lattice is created, and the distance on a curved surface is measured using the graph. The form from line composition to field composition is created by creating the Voronoi diagram which had the ambiguous boundary using the above method. And the examples applied to waving curved surface, rectangular prism, hemisphere and free form curved surface were shown. In recent years, the construction of free form architecture is becoming realizable by progress of technology, and this method will be useful for development of more free form.
