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The meshes clump together when subdivided:

The meshes clump together when subdivided.

The origin is off of the face:

The origin is off of the face.

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  • $\begingroup$ Please do provide either the blend file or a screenshot from the bottom side. From experience I would guess that the bottom is one big polygon, which you would need to cut into smaller faces. $\endgroup$ – morph3us Nov 13 '18 at 7:34
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This is most likely because of the face at the bottom that is not visible to us. Subdivision Surface modifier divides concave face like that - this is normal. If you wish to avoid that you should divide the bottom face so it consists of a few convex faces instead of one concave face.

enter image description here

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