The present disclosure relates to an endoluminal prosthesis, such as a stent graft that includes one or more fenestrations to accommodate endovascular disease, such as an aneurysm in cases where one or more side branches is involved. In one aspect, the prosthesis includes fenestrations that are pivotable to accommodate the dynamic geometry of the aortic branches. In another aspect, the pivotable fenestrations include a first perimeter, a band of flexible material attached and surrounding the first perimeter, and a second perimeter attached to and surrounding the band of flexible material. The first perimeter, band of flexible material, and second perimeter have a geometric shape.