Who said gift-wrapping required tape? All you need for this particular method is twine and a few popicle sticks.
Find a really nice box. Wrap the twine around a few times, and thread the twine through some punched popsicle sticks. Paint the popsicle sticks a pretty color. You can even use the popsicle sticks as your gift tags!
Sorry it took me over a year to write another gift-wrap entry! More to come.