Fiber Fix is a repair-tape impregnated with fast-curing, moisture-activated resin; the manufacturer claims it hardens to a strength 100 times that of duct-tape, comparable to steel. Baseline room-humidity is generally enough to activate it once it's removed from its airtight pouch, but you can also soak it before applying. It cures to usability in 10 minutes, and fully sets in 24 hours. It's $20 for three rolls in varying widths -- though be careful, as it's reportedly a real pain to get off your hands.
Fiber Fix [Amazon]
(via Oh Gizmo)