Plunkett's Valid Points was the Junders Plunkett's weapon of choice, a lightweight set of spiked knuckles. Plunkett had murdered many using his fists alone, when his raider brethren were hunted down by Regulators. He sought refuge in Arlington House where he awaits someone worthy to hunt him down and take up the knuckles hoping the bounty hunter will seek out a just cause with it.
Plunkett's Valid Points are a unique version of the spiked knuckles. It inflicts 3 more damage per hit than the regular set of spiked knuckles, and have double the chances of a Critical Hit. The spiked knuckles only have the standard chance at criticals.
Perhaps the biggest selling point for this weapon is the fact that it has one of the lowest Action-Point costs per-shot of almost any weapon in Fallout 3. Assuming you have maximum Agility and the Action Boy/Girl perk, you could string together 7 hits in a single V.A.T.S. attack. Add in the benefits of Ledoux's hockey mask and the tribal power armor, and you can pull off 9 hits, with 13 AP to spare. This combined with the Paralyzing Palm perk will result in paralyzing enemies nearly every time you enter V.A.T.S., enabling the player to kill even super mutant behemoths without much effort.
Plunkett's Valid Points can successfully strike about 333 times from full condition before breaking.