In my opinion, this is the most exquisite and attractive United States coin.
2 pics below, obverse and reverse. This is a $20 Saint-Gaudens Gold Double Eagle. The one shown below can be bought for around $4,500 at today's gold prices.
Per the JM Bullion website:
During his presidency, President Theodore Roosevelt visited a renowned exhibition of ancient coins at the Smithsonian and what he saw inspired him to promote a new era of coins for America, coins that would reflect the grandeur and greatness of the nation. The resulting $20 Saint-Gaudens Gold Double Eagle Coins, designed by the celebrated sculptor Augustus Saint-Gaudens, has since become one of the most beautiful American coins ever minted.
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I appreciate that you included the background information as well.
but it's only the most attractive if you don't count this one:
