I submit a very particular imported file which has precisely proportioned separations of edges and vertices, (although the overall size is irrelevant).

I kindly ask if there is a “faceted” or a “straight-sectioned-step” version of the Rhino7 helix. The attached object was a generated helix, wound around a much smaller equilateral triangle. Its native app offers an old fashioned parametric option of facetted or smooth output, (in its helix tool that has not changed to my recollection in over 25 years).

I have a longstanding interest in this very particular kind of object which is generated by one click, by winding a helix around a much smaller equilateral-triangular path; and initially setting the number of steps to 9 total, and the radius of the helix, (with each step as a straight line segment, as 9 divisions total).

A near likeness to a tetrahedron or trihedron is formed, which is a bit surprising for a helix tool to generate in one step, and therefore I’m curious if Rhino7 does facetted helixes, for me to verify the nature of this seeming generation of a polyhedron, and what mathematically causes the cyclic peaks to converge towards a vertex, but as a convergence, it does not quite make a closed vertex.

Insights would be much appreciated.

100to1-faceted-trihedron.3dm (1.8 MB)