I am trying to make this shape, but can't find a mathematical solution to draw this.

is it possible at all in moi?

thanks,

Wim

Hi wimverbe,

Is the object flat, or spherical?
Quick thoughts:
Rotate half of a great circle. Array points on each curve. ???
Use gemarray???

- Brian

I do not see any pentagons.

This link seems promising, for a half sphere:

https://discourse.mcneel.com/t/problems-with-hexagon-tessellation-on-half-sphere/117543

https://stackoverflow.com/questions/42069420/hexagonal-tilling-of-hemi-sphere

Maybe create a script or a node?

Maybe Flow, from flat hex grid to half sphere?

- Brian

By guessing, it looks like hexagon offset, and every copy get an extra point on his edge :



Trying to rebuild it with those rules here, seems a first start ... I suppose using MoI nodes addon can get you there ?

ouch, I forgot to mention that it is 2D, so it is not a sphere (as PaQ guessed). I am not using the nodes add-on yet, but will install it. the solution PaQ suggested is somewhat in the right direction, but the middle shape is a circle, and gradually it migrates to an ellipse, and the hexagon is only for the first 6 contours around the middle one, the hexagon then migrates towards a full circle. could that be done with the nodes add-on then?

below the blender solution for spreading the objects.

Maybe is was built on a half sphere, and projected to a plane?

- Brian

Hi Wim, if you have vertices in Blender in the spots you need, you could transfer those over to Moi. Export those as polygons to an .obj file and then use the OBJ to 3DM wireframe converter from https://moi3d.com/resources#Obj23dmWireframe_converter and open the .3dm in MoI.

You can also set up blending between shapes in MoI by building a surface between the hexagon and circle or ellipse using Construct > Loft and then use Construct > Curve > Iso to extract an isoparm from the middle of the surface. There is also one of Max's plugins cmorph that can automate that:
http://moi3d.com/wiki/MaxScriptArchive

- Michael

I tried that Brian, but it is actually a false perspective.

w

thanks Michael, I will try the construct>loft technique.
and the obj wireframe converter is cool too, didn't know about that. I always used the subD import function with really narrow edge bevels to have a construction guide...

w

Hi Wim,
this may help.
https://www.youtube.com/watch?v=VwcpqJQX970
Cheers
Barry

The HexFlatGrid2Demo.nod is a node PROGRAM that creates a HexGrid, (Dec, 2020). (Based upon James HexGrid) I keep it in AppData>nodeeditor>Program directory. (It Loads)
It utilizes the HexGrid2Macro.nod, which is a MACRO. (I keep it in AppData>nodeeditor>Macro directory. When it is in the Macro directory, it is available from nodeeditor canvas
by Right Click.

- Brian

Maybe Project half sphere to plane?

Need to do experimentation...

It is like an optical illusion of a sphere...

- Brian

Mhhh that one was fun to resolve, I guess I get it (not 100% sure tho :O)) ... just in case you have access to Houdini (19.5).
There is a .3dm to test (exported in .igs from Hou)

Beside I morph from hex to circle in a linear way, could be controlled too ... let me know (.hip is attached too)

I see each circle as a Hexagon, or in a hexagon.

I see the center point of the grill as having 3 equal circles around it.

I still believe a sphere should be involved.

- Brian

I'm not sure if I understand you, but wouldn't that be better ? Instead of a constant offsetting between hex to circle morphing I mix it with a cosine. (the "spherical" missing feature ?).

Here's the resulting pattern + source .hip
There is an extra ramp to control the 'speed' of the morphing between the hex and the circle ... time to clean the mess tho, I was aiming to the result first.

Two attempts to flow a hex grid to a hemi-sphere did not produce the desired patterns.
One attempt was with "square" iso-lines.
The other attempt was with "radial" isolines. (A disk and revolved quarter circle.)

- Brian

Tried this in modo with a flattened tessellated hemisphere and radial falloff.

But that's pentagons :S (I like the approach tho !)

Auck! you're right! Got into it, and completely missed the point.:(