Can I Increase Travel Enough to Avoid Taxes?

I travel about 25% of the time overseas. The question is can I increase it enough to not pay U.S. taxes? Jim sent me the following link about becoming a Perpetual Traveler:

Perpetual travelers are people who live in such a way that they are not considered a legal resident of the countries in which they send time.

By lacking a permanent residence status, they seek to avoid the legal obligations which may accompany residency, such as income and asset taxes...

Sounds like a plan.