A dodecagon.
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There is no specific name for "12 or more" sides. A 12 sided plane figure is a dodecagon. More generally, a plane figure bounded by 3 or more sides is a polygon.
It is a 12 sided dodecagon polygon
Well if you have an 8 sided figure there is obviously 8 sides.
Dodecagon 12 sides with 12 angles
a 12 sided figure is called a dodecagon