A pentadecagon. But I prefer 15-gon since it means that my reader does not need to be familiar with Greek prefices to know what I am talking about.
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A fifteen sided shape is called a pentadecagon.
A fifteen sided shape is called a pentadecagon. It is sometimes called a quindecagon or a pentakaidecagon.
An eight sided figure is called an octagon.
An 11 sided figure is called a hendecagon, an undecagon, or a 11-gon.
A 5-sided figure is called a pentagon.