Triangularis III was a planet located in the Triangularis system in the galaxy's Alpha or Beta Quadrant.
History[]
In 2267 or 2268, when the Federation starship USS Enterprise visited Triangularis III, James T. Kirk beamed down, unaware that Triangularis natives used a vanity transporter system which saves complete records of everyone's molecular structure and DNA.
In 2268, Ronald Tracey visited Triangularis III, where he acquired a microtape of Kirk's transporter pattern.
Eight months after first visiting the planet, Kirk recalled the experience when confronted by Harry Mudd, who had been altered by Tracey to look like Kirk. (TOS - New Visions comic: "Made Out of Mudd")