The innovator Jim Marggraff, creator of an interactive world globe called the Odyssey Atlasphere, the LeapPad reading platform for children and LeapFrog’s Fly talking pen, explains that each creation built on the work that went into making the previous one. That same process of accretion holds true for the Pulse Smartpen, introduced last week by his new company, Livescribe; he hopes that the product, which records audio while it tracks what the pen writes, will bring back computing to its pen-and-paper roots.

“The aha moments grow out of hours of thought and study,” he says. “If you look at my innovations, there’s a common theme. I take something familiar, intuitive and ubiquitous and recast it in a manner that will redefine its use to drive profound change.”

The Atlasphere grew from his dismay that one in seven American adults could not find the United States on an unmarked world map, and that one in four couldn’t find the Pacific Ocean. He sees geographic illiteracy as a big obstacle to world peace, so he packed his interactive globe with games and tens of thousands of geographic and cultural facts, all available at the touch of a stylus.

The “near touch” technology that went into the Atlasphere might have other educational benefits, Mr. Marggraff realized. A self-described “student of learning and learning systems,” he had been puzzling over how to help his 4-year-old son understand reading.

“I was pointing to the words on the page and trying to explain what a word was, but I’d watch him and realize that he didn’t have any idea what I was talking about,” he says. “This black-ink thing here is called a letter — I realized this was all very abstract.”

Newsletter Sign Up Continue reading the main story Please verify you're not a robot by clicking the box. Invalid email address. Please re-enter. You must select a newsletter to subscribe to. Sign Up You will receive emails containing news content , updates and promotions from The New York Times. You may opt-out at any time. You agree to receive occasional updates and special offers for The New York Times's products and services. Thank you for subscribing. An error has occurred. Please try again later. View all New York Times newsletters.

Mr. Marggraff likes to go to bed with one or more problems on his mind. “Typically, I’ll fall asleep chewing on it and then I’ll wake up at 4 in the morning with some sort of solution,” he says.

That’s a common theme in innovation, according to Mihaly Csikszentmihalyi, a psychologist at the Claremont Graduate University in California. “Cognitive accounts of what happens during incubation assume that some kind of information processing keeps going on even when we are not aware of it, even while we are asleep,” he writes in “Creativity: Flow and the Psychology of Discovery and Invention.”

This time, Mr. Marggraff awoke at 4 in the morning determined to “flatten out” the globe so he could use the Atlasphere’s near-touch technology on a single page and, ultimately, within a specially designed book to help children learn how to read. Though some would call this an epiphany, it took years of trial and error to make the LeapPad a reality.

Advertisement Continue reading the main story

“There’s an aha moment followed by a ton of work to figure out what it is that’s actually going to work,” agrees Douglas K. van Duyne, co-founder of Naviscent, a Web usability consulting firm. “It goes back to that old saw that invention is 1 percent inspiration and 99 percent perspiration. The idea of epiphany is a dreamer’s paradise where people want to believe that things are easier than they are. It takes a huge amount of determination and effort to follow through.”

Businesses want to believe that a brilliant mind or a brilliant idea can make or break their innovation efforts, Mr. Berkun says. The myth of epiphany has a long history because it’s appealing to believe that there is a short, simple reason that things happen. The myth has staying power because there is a tiny core of truth within it.

“But as soon as you dig into what happened five minutes before that magic moment, or a day, or a week, or a month,” he says, “you realize that there is a much more complicated story in the background."

THAT more complicated story most often begins and ends with a determined, hard-working and open-minded person trying, and failing, to find a solution to a given problem.

“Successful entrepreneurs do not wait until ‘the Muse kisses them’ and gives them a ‘bright idea’: they go to work," Peter F. Drucker says in “Innovation and Entrepreneurship.” “Altogether they do not look for the ‘biggie,’ the innovation that will ‘revolutionize the industry,’ create a ‘billion-dollar business’ or ‘make one rich overnight.’ Those entrepreneurs who start out with the idea that they’ll make it big — and in a hurry — can be guaranteed failure.”

It’s not that these magical moments of epiphany don’t happen. In small ways, they happen all the time. But they’re not nearly as important as what the innovator did before — or ultimately does after — the magic light bulb goes on. As the French scientist Louis Pasteur once said, “Chance favors the prepared mind.”