This research deals with generation of double curvature forms with a single module: an equilateral triangle.
Keywords: dome, geodesic, engineering, invention, discovery, find out, geometry, cupola, coupole, network, strut, connector, node, hub, building, space, structure, architecture, triangle, equilateral, identical, double curvature, doubly curved surface form, Lobel, form, business, venture capital
Think of an application for Lobel Frames, other than architecture ? Let us know !
The mother shape is situated in the middle in red, around this are certain shapes in which I have varied the F2 and F3 parameters. The declination thus developed in a two-dimensional space. By varying the third parameter, the declination will be produced in a three-dimensional space which can still be illustrated although difficult to comprehend. But, by varying all four parameters, the declination is then produced on a four-dimensional space…very difficult to depict here. Nevertheless, I have taken a few sufficiently varied volumes out of this fourth dimension that will enable you to glimpse a small number of the treasures in Ali Baba's cave.
This plate represents six Mother shapes of different frequencies. In drawings 11 and 12, the forms have been put in identical size. In drawings 21 and 22, the triangles have the same lengths.
We see that : not only are these forms likely to vary in their proportions, but are also prone to vary in size…with one module!