Plunkett's Valid Points

 are a set of unarmed weapons in Fallout 3.

Characteristics
are a unique version of the Spiked Knuckles, but cannot be repaired by them, although they can be used to repair other spiked knuckles.

inflict 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.

Variants

 * Spiked knuckles

Location
Plunkett's Valid Points are dropped by Junders Plunkett who is found at the Arlington House in the Arlington Cemetery. You must have the Lawbringer perk to get this item. The contract for his bounty can be found on the body of a Dead Regulator nearby, though finding this is not necessary for finding Plunkett.