A machine for cutting various materials, such as marble, ceramics, terracotta, sandstone, glass and the like, into tesserae, comprising: guiding elements which are composed of sliding rails (5,8) arranged like the sides of a square; a plurality of carriages (9-12), each whereof has elements (31) for supporting a slab (B) and can slide on the rails; elements (13,21,23) for moving the plurality of carriages (9-12) along the rails (5,8) so that the slabs on the support elements (31) maintain the same orientation along the entire path formed by the rails; and two slab cutting elements (43,44) arranged along two mutually perpendicular sides of the square, each element being constituted by a pack of blades (45,46) which rotate about an axis perpendicular to the respective side.
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