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Among his more than 900 works, Menconi created medals for the National Book Award, New York University Law School, Kenyon College, Hamilton College, the Capitol Historical Society in Washington, and the New York Historical Society.
Historian and Columbia University professor Kenneth T. Jackson edited this work that combines informative and interesting information about New York City into one volume, first published in 1995 by the New-York Historical Society and Yale University Press.
An Episode of the War — The Cavalry Charge of Lt. Henry B. Hidden (1875), held in the collection of the New-York Historical Society's Henry Luce III Center for the Study of American Culture, and Pocahontas Saving Capt. John Smith (1870), held in the collection of the Museum of Art BYU, are among his only paintings on public display.