I recently visited the Dohany Street Synagogue, and I was puzzled by the eight-pointed stars that decorates a great portion of the exterior of the main building (notice the star is within another "star-like" shape, also with eight points).
I have found no explanation for such pattern, beside some "dubious", perhaps unrelated information online about esoteric reasons (e.g. here or here). The Wikipedia article makes not mention of it. Maybe the Hebrew version does (there are some more closed-up pictures there), but I cannot read Hebrew. I took the tour, and the person said that the synagogue was neolog, which introduced new elements. Would this be a "new element"?
PS: to be fair, this is the first synagogue I ever visit, so maybe this is an obvious thing that requires no complex explanation.