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
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I defined three principal parameters; F, F1, F2, (shapes titling n°11) for the CUB family which expressed the frequency, as for the previous CSM family. In general, the higher the frequency, more numerous are the triangles in the form. As the form is divided into many zones depending on the frequencies, when these same frequencies are varied, zones can consequently be stretched or compressed.
As each of these forms lie on a plane, by making it symmetrical in relation to this plane, a closed form is obtained possessing three orthogonal symmetrical planes. In this way, this new closed volume can also be cut according to its three orthogonal symmetrical planes. So one closed volume generates three volumes lying on perfect planes.
These three forms coming from the same closed volume had to be distinguished by different names. I thus adopted the name of the general form followed by X, Y, or Z according to the axis which goes through it at the higher part. And so the three declinations of general form 332 become 332-X, 332-Y, 332-Z.