don't confuse the hippies with the beats; it was the latter who are associated with cool jazz.

au contraire, mein freund, the beatnik look with the beret and goatee was first popularized by Dizzy Gillespie, who was the big name in bebop, or hot jazz. Cool jazz didn't come around until Miles Davis, who didn't like playing music at break-neck speeds, formed a group and cut the album Birth of the Cool. Beatniks were originally worshippers of bebop, which is the exact opposite of cool jazz.