Collectible coins are often categorized based on historical significance, rarity, condition, and demand among numismatists. The United States three-dollar gold coin, also known as the "three dollar piece," was first minted in 1854 and produced until 1889. The Braided Hair Cents, designed by Christian Gobrecht, were minted in 1848 and feature a more intricate hair design compared to previous cents. They are sought after for their artistry and historical context, particularly among collectors of 19th-century American coins.