Fifth summit of the Alps (4478m), the Mattherhorn, is characterized by a particular pyramidal form. It has four main walls oriented to the cardinal points, divided by vertiginous ridges. The Lion ridge, the Hornli ridge, the Zmutt ridge, and the ridge of Furggen. The first two represent the more easy climbing routes to reach the summit. They are called "Normal route". The other two, much more difficult are not climbed frequently. Our proposals are therefore limited to the normal routes Italian and Switzerland.