Is it a mere coincidence that the Fasces (symbol of fascism under Mussolini) can be found on the Mercury dime?

A question from a curious person about their Mercury Dimes:

which was minted when Woodrow Wilson was president?

http://en.wikipedia.org/wiki/File:Fasces_lictoriae.svg

and

http://numismaticblog.com/wp-content/uploads/2008/11/1941-mercury-dime-reverse1-thumb.jpg