The sheet of tissue paper includes at least one first embossed zone (A.sub.1, A.sub.2) having protrusions on a surface corresponding to alveoles on the other. The alveoles have a substantially polygonal base and the sheet includes at least one second, unembossed zone (B). In the invention, the alveoles 101', 102' are configured along at least one array, the mutually facing sides of two adjacent alveoles define a bridge (P) having rectilinear or substantially rectilinear edges of length L which is larger than its greatest width D, one or several bridges connected to each other subtending a path preferably between two second unembossed zones (B) which are separated by at least one first, embossed zone (A.sub.1, A.sub.2). The invention also relates to a cylinder embossing such a sheet.