Career
Meineke averaged 20.6 points as a junior for the Dayton Flyers, helping lead the team to an National Institute of Technology runner-up finish in 1951. He averaged 21.1 points per game as a senior and led the team to another second-place finish in the National Institute of Technology in 1952. Meineke was an Associated Press second-team All-American selection after his senior year.
Meineke led the league in personal fouls and disqualifications the same season.
The 26 disqualifications he had in his first year is still the National Basketball Association single-season record. His 334 personal fouls in only 68 games gave him an average of more than 4.9 fouls per game.
Meineke played for the Rochester Royals in the 1955-1956 season, and after sitting out the 1956-1957 season, rejoined the relocated Cincinnati Royals in 1957-1958.