TAIPEI—After seeing a slew of futuristic laptop technology from Asus at Computex this week, from the dual 4K displays of the giant ZenBook Pro Duo and new VivoBooks equipped with touchpads that double as a screen to the portable 240Hz ROG Strix gaming monitor, you might be wondering what inspires a company to come up with these bleeding-edge designs. Some of the inspiration is Asus’ 30th anniversary, making this a pivotal time in the Taiwanese tech giant’s history. Another part of it is revolutions in the wider personal tech industry, from the advent of 5G networks to new chip technology from Intel and AMD. But you can attribute most of Asus’ visionary products to what every tech company strives for: a combination of good old brainstorming, creativity, and technical know-how. For Asus, all of those things can be found at the company’s headquarters on the outskirts of Taipei. The campus isn’t as sprawling as those of Apple, Google, and other Silicon Valley titans, but there’s still a ton going on. We spent a few hours getting a glimpse at everything from how the company dreams up smartphone color schemes and sandblasts aluminum to how it makes ...