Video: Three Graces

In Greek mythology, a Charis (Χάρις) is one of several Charites (Χάριτες; Greek: "Graces"), goddesses of charm, beauty, nature, human creativity and fertility. They ordinarily numbered three, from youngest to oldest: Aglaea ("Beauty"), Euphrosyne ("Mirth"), and Thalia ("Good Cheer"). In Roman mythology they were known as the Gratiae, the "Graces."

Quote shown from 0:42-0:50

This quote, "And we test the concept, as we test the thing, by its implications," is sourced to Dr. Jacob Bronowski. is the site which contains the article that she most likely used to find this quote.
Bronowski was a British mathematician and biologist of Polish-Jewish origin. He is best remembered as the presenter and writer of the 1973 BBC television documentary series, The Ascent of Man.
In context, Bronowski is saying this of science. More specifically, the process of arriving at a scientific conclusion.
This may mean to say that the overall meaning of this piece of art is communicating an overall meaning connecting scientific concepts to Greek or Roman mythology. If so, the conclusion arrived at by Aldwyth must have been somewhat groundbreaking, at least for herself. The connection between these two may have been the relation between science and human creativity. Although science is normally viewed as something opposite from creative arts and such, the definition of creativity is the "mental process of creating new or novel ideas." This would make all science a product of human creativity, thus connecting the two previously unrelated concepts.