Oh Dorchester Apartments, yes, the Stein Tower, one of the few brutalist buildings in Chicago (and even fewer among SOM's production). That and the Cloisters next door are rental buildings owned by the University. That was designed by Skidmore and won AIA awards at the time - 68 I believe.
It's unlikely the University would try and buy any more property within the main parts of HP, too expensi
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Forgotten Chicago Sightings