A linear copolymer made of two reciprocally attracting N-monomer blocks col
lapses to a compact phase through a novel transition, whose exponents are d
etermined with extensive Monte Carlo simulations in two and three dimension
s. In the former case, an identification with the statistical geometry of s
uitable percolation paths allows one to predict that the number of contacts
between the blocks grows like N-9/16. In the compact phase the blocks are
mixed and, in two dimensions, also zipped, in such a way to form a spiral,
double chain structure.