Naming the mission Euclid is ironic because the universe, as described by modern physics, operates on non-Euclidean geometry.

“when Einstein showed that matter and energy distort the fabric of space and time ukian geometry was no longer ukian it was non ukian geometry so everything that is in the universe is a negation of the flat plane flat space world that uclid had described”

The Euclid mission aims to create a 3D map of the universe to study its evolution over time by observing the interplay between dark energy and gravity.

“so we don't want a static picture of the universe today we want to measure this three-dimensional map uh where looking further away in that third dimension is also looking further back in time so we want to look at the time evolution of the universe”