There are some who perceive a double Tetraktys in the thirteen stars of the Great Seal of the United States. Here it is, on the reverse side of the dollar bill. Each triangle (my overlay) frames the symbol’s ten points.
Detail of the Great Seal on the reverse side of the U.S. dollar bill
Given the absence of this notion from the official annotation of the emblem of 1782, a skeptic will the force of illustion at work. Numerology is a powerful lens, prone to creative projection onto any patterned surface—particularly an iconographically charged image like the Great Seal.
On the other hand, the Great Seal also contains a pyramid, a symbol closely associated with the Tetraktys. And the Seal’s Latin motto “novus ordo seclorum” (”A new order of the ages”) derives from the Fourth Eclogue of Virgil. This uncharacteristically mystical poem describes the return of the Golden Age of Saturn, a neo-Pythagorean concept. And Virgil, by the way, wrote ten Eclogues…
So there may or may not be able to pull a Tetraktys out from your pocket. But tug hard enough, and you can pull out a long historico-mystical yarn!