Creating planar quad mesh on an egg like shape

[AlexWer (Alexander)]

Hello Guys

please tell me, I looked through a lot of topics on the forum on creating a square flat network.
I tried to make such a mesh by examples.
but the network is not completely planar…

Planar Hexagon Mesh

Hi all and especially @Petras_Vestartas, The short story: I would like to ask for the logic behind the planarize component in the Ngon plug in. The longer story: I started recreating these days an alogrithm for planarzing hexagonal meshes I found here: https://webspace.science.uu.nl/~vaxma001/ in this article: Dupin Meshing: A Parameterization Approach to Planar Hex-Dominant Meshing My knowledge of meshes is really small and I just got overhelmed when I saw these articles.So glad I found t…

Planar faced mesh from points

Hi ! I want to discretize a double curved surface into planar faces (but not triangular), using the method used in this paper : https://www.researchgate.net/publication/300377122_Discretization_of_double_curved_surface I try to reproduce this shape : [ex] For the moment I have the intersection points of the tangent planes as shown below : [ex2] But I don’t know how to obtain a mesh made of planar faces like the example, does someone have an idea to solve this ? Thanks in a…

Can you please tell me if it is possible to create a planar mesh on such a shape close to an egg?
if any conditions?

in quad.3dm (218.4 KB)

[tay.othman (tay.0)]

PLANARIZE cells coming from Kangaroo simulation

Making planar hexagons is quite different from making planar quads. With quads, provided they are reasonably close to the surface curvature directions, it is usually possible to make them planar without changing the shape too much. With hexagons though, when you have regions of negative curvature (which your shape does around the funnels, and between the domes), it is geometrically impossible to make all the hexagons both planar and convex. Some of them have to become ‘bowtie’ shaped. If you …

[DanielPiker]

Hi @AlexWer

Most of those links are about making planar hexagonal cells, which is quite different from making planar quads, so maybe not so helpful here.

For your shape the main complication will be that crease around the centre.
What I’d recommend to do is take one half of the shape, create a structured quad mesh based on the bounding box, and planarize that and finally reflect to get the other half:

heartplanar1.gh (109.9 KB)