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 !
.HGR Family

As I annouced before in my 5th book, (PNT and POT) here are my last group of forms.

This increases the number of families to 9 and the number of forms to about 4700 (1180 for .HGR).
However, one should note that this shape has 2 names. So 4-3-2 is equivalent to 2-5-4 and 7-4-9 to 9-2-7 etc... Please notice why..!
This decreases the original number from 1180 to 590.
These groups have got 3 symmetrical planes.
Certain ones whose first reference number is the same as the last one possesses 2 supplementary symmetrical planes. Ex: 3-5-3 or 5-4-5 or 7-3-7.
These forms possess an interesting peculiarity as they change gradually from a square section to a curved section adding thus the qualities of the stability of a vault with the quality of occlusion of an orthogonal section.
This peculiarity becomes more visible when one uses only half of a volume which turned around the axis Y 45
This facilitates inlaying a door and also allows grouping these forms according to 3 orthogonal directions.
Their names are based on the specifiations given in the following sheet.