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There are numerous three-cent silver patterns, from the extremely common
J-125 to the so-called "ugly duckling" pattern, J-114.

$4 gold Stellas: flowing hair (designed by Barber) and coiled
hair (designed by Morgan).

George Morgan's gorgeous J-1578 half-eagle pattern.

The Smithsonian's unique $20 double eagle pattern J-272A.

Double eagle patterns: The Smithsonian's mini-high-relief aside
high-relief and regular relief double eagles.

The Smithsonian's unique $50 half unions.

The pattern I consider the most beautiful is the MCMVII (1907)
$20 Indian Head (J-1905, formerly J-1776), based on St.
Gaudens' designs.

Patterns also exist for various commemorative coins.