A sheet of absorbent paper includes at least one first and one second embossed plies of tissue having protuberances on the inward-facing side of the sheet corresponding to cavities on the outer side, with a first type of protuberances on the first ply, the first type of protuberances on the second ply, at least some of the first type of protuberances of the first ply contacting at least some of the first type of protuberances of the second ply, the first ply and the second ply include a second type of protuberances of frustoconical form, the first type of protuberances being partly adjacent to the second type of protuberances, the first type of protuberances of the first ply are aligned in a first direction and the first type of protuberances of the second ply are aligned in a second direction, the two directions forming a non-zero angle alpha between them.