The accessory gets turned backwards with a Mobius twist in the belt? I don’t think this is the case. Maybe a misunderstanding about the nature of the Mobius half-twist. The Mobius half-twist is in the belt itself, it’s not giving a regular (non-Mobius) belt a twisted (figure 8) belt-path. With the figure 8 belt path, the accessory would indeed get turned backwards. But not with a Mobius half-twist in the belt itself. Google “Mobius Strip”.
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