How to mesh a parabolic dome in grasshopper

Hello,
I have problem with meshing a parabolic dome structure before implementing structural analysis and topology optimization.

the problem in order to create a parabolic dome controlled by genetrix and directrix mathematical formula is to use revolve component from 3 points dome center bottom and top and the arc edge point.

the issue when I generate the mesh it always start from the UV coordinate from the dome center but what I want is mesh of evenly space squares

I do not know if it helps:
Use the arc to create a sphere; rotate sphere; split the part you need.
Maybe the same is usefull on other shapes?


the problem with sphere is not like parabolic dome from mathematical point of view, i need to define directrix and generatrix

Here’s a simple solution: Make a rectangular mesh, move the vertices according to the quadratic function and their distance from the centre, trim off everything below the “foundation” line.

Bear in mind the quadratic here uses absolute units so will scale with radius².

Paraboloid Mesh.gh (16.5 KB)

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