Look Inside Apple's Spaceship Headquarters With 24 All-New Renderings Cupertino city officials recently gave the green light on Apple's wild new headquarters. Apple's massive new headquarters complex in Cupertino, California, is nicknamed the "spaceship. An architect's rendering of the Apple "spaceship" headquarters. Through this new headquarters, Steve Jobs was planning the future of Apple itself—a future beyond him and, ultimately, beyond any of us.