The Topless Towers of Cairhien were the tallest towers in any major city. Burnt by the Aiel in the Aiel War, they are in the process of being rebuilt, thought not by Ogier (TGH, Ch. 25).
"They were tall enough to warrant the name, once. When the Aiel took Cairhien, about the time you were born, the towers burned, and cracked,and fell" (Loial, The Great Hunt, Chapter 25)