How to model vertical cross horizontal lines to become look like torus ? 3D printing

I'd like to thank "cegaton" for teach me how to make a texture that looks like a woven strands of metal,

https://blender.stackexchange.com/a/80619/39770

Now I wonder if someone can teach me how to model the below image for preparing for 3D printing

I hope to get the final result as the below ,

My goal to redesign the below ring to print with 3D printer

• I think you should edit your previous question and not ask nearly the same one. Also you can use this texture as Displacement Map to create some geometry. – cgslav Jun 4 '17 at 11:46

create a pretty high density torus, (i used 128 and 32 major and minor segments, respectively). You might need to add and apply a 1 level subdivision surface modifier if the density was not high enough (in my case, this was necessary).

Tab into edit mode and select any edge loop, go to the select pop up list and choose "Checker deselect".

Hit Ctrl+E and click "Edge Rings", then Ctrl-click the face select icon, on the bottom left of your screen.

Hit the X key and use the "Faces" option.

Now you'll want to go to the select panel once again and pick the "Random" selection tool, then hit F6 and find a nice percentage (i used 2%) and finally hit X and choose the "Faces" option.

You'll now be making use of the "Random" selection tool for the last time, make sure to use a percentage that works for you (i used 0.5%). Hit Ctrl+L and then X and choose the "faces" option.

If you followed the steps properly so far you should have face loops that follow the shape of a torus with irregularly placed gaps.

Now tab out to Object mode and repeat the process but for the faces perpendicular to the ones you just got.

Select both objects and hit Ctrl+J to join them. Tab into edit mode, select everything using the A key then hit Ctrl+V and choose the "Remove Doubles" option.

Tab back out to Object mode and add a Solidify modifier, followed by a subdivision surface modifier.

One quick way to fake it is to add a new torus object, adjust subdivisions on both axis as desired.

Then add a Wireframe Modifier to it, it will create the tube like appearence.

On top of it add two Subdivison Surface modifiers, one set as Simple first, then one below it as Catmull-Clark. The second one will smooth the edges and intersections, but the first one will make sure they are not too rounded.

Afterwards you may delete a few edge loops to make it look more irregular.