From what I've heard, Hofstadter wrote "I am a Strange Loop" because too many people were describing GEB as a "collection of essays" or musings on unrelated top

From what I've heard, Hofstadter wrote "I am a Strange Loop" because too many people were describing GEB as a "collection of essays" or musings on unrelated topics, when he wanted it to be a single exploration of the concept of intelligence. "Strange Loop" covers pretty much the exact same ground, just from a much more direct angle; they're both worth reading, depending on your mood.