Where is the Centroid of a Moebius Strip? [SOLVED]

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The centroid of a Moebius strip can be determined by treating it as a 2D region in a Euclidean plane, where its edge is topologically equivalent to a circle. By defining the strip's width and radius, one can analyze its interior, exterior, and centroid. Despite previous inquiries yielding minimal responses, the discussion concludes with the assertion that the topic is now resolved. The user expresses frustration with the lack of engagement in the forum but wishes others success in their academic pursuits. This thread ultimately clarifies the centroid's location in relation to the Moebius strip's geometric properties.
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[SOLVED] centroid of a moebius strip

Since the edge of a moebius strip is topologically equivalent to a circle, we can cut a disk form an euclidean 2D plane and sew a moebius strip on its place. Now we have a 2D space with a circular-edged moebius strip added. And now this strip is a 2D region in 2D space and we can talk abut its interior, exterior, border, area, centroid, etc. Where is this moebius strip's centroid? (we should be able to define it with the strip's width and radius.
 
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