How to manage material coordinates?

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I have problem with procedurally textured materials.

In the same object, can I have different orientation of materials? (e.g. with same wood material vein aligned to X axis on one geometry and Z axis on another geometry)

In the attached image, the image on the left side and the other image on the bottom are two different object while the one on the upper side and the other on the bottom are the two geometries in the same object.

I would like the vein direction of the wood material follow the orientation of the geometry while I make rotation.
Is there a way to do so? I tried many different ways but could not make it. I even duplicated the materials and change the orientation, then assigned it to the geometry but it still did not work.

Thank you for your help!

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Attachments:
MaterialCoordinatesTest.jpg (447.6 KB)

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Maybe Rest Position SOP is what you're looking for: https://www.sidefx.com/docs/houdini/nodes/sop/rest.html [www.sidefx.com] ??
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