The phrase "found its embodiment" is correct and usable in written English.
It is typically used to describe how an idea has been realized or has taken physical form. For example, "This new invention found its embodiment in a device that could be comfortably used in the home."
The 1st stage found its embodiment in the Circular Track.
In Mr. Heston, the N.R.A. found its embodiment of pioneer values — pride, independence and valor.
The movement's antitax, pro-entitlement crusade may have found its embodiment in the irate man who demanded at a town hall meeting, 'I don't want the government messing with my Medicare!'.
It's an idea that finds its embodiment in Anderson's way of working and in the exquisite and expressive style that he puts onscreen.
(Today that sort of diabolical sympathy — the fusion of cultural revanchism with a rebel yell — finds its embodiment in such phenomena as Donald Trump's campaign).
Cimino's life work is a cinema of mourning, an art of grief, a nightmare of memory that finds its sole redemption in ecstasy — the heightened perception that transforms experience into a grand internal spectacle, which finds its embodiment in Cimino's own profound visual imagination.
As the artists explain, "Through real-time sound analysis and a vast variety of algorithms, each sound finds its embodiment in different geometrical representations, depending on volume, pitch, note, and characteristic".
The Miller approach may have found its purest embodiment in Susan Powter, the diet-and-fitness guru; her book "Stop the Insanity!" became a best-seller as well.
Knott's sense of himself as isolated and yet part of a hivelike whole found its final embodiment online, where many of his poems can still be read for free.
That holistic impulse found its most enduring embodiment in the Wiener Werkstätte, a consortium of designers and skilled artisans founded in 1903 by the brilliant designers and Secessionists Josef Hoffmann and Koloman Moser.
The music hall was dying and in Osborne's third-rate comic, Archie Rice, it finds its unheroic embodiment.
