Great Minds think alike.
Sometimes mathematical concepts are dimly anticipated before being formally defined. The spiral might have been determined through fooling with compass/protractor techniques, but its full meaning would be hard to understand without the benefit of the Pythagorean theorem. There would have to be a comparison between how deeply Archemedies understood the properties of the object and how well the Minoans understood it. You aren't going to get that from one picture.
That is true, but the interesting thing here is the minoan culture influenced the later greek culture in many ways.
Including art and mythology. Then why not mathematics?
It is ofcourse possible that Archimedes just saw the drawings and got inspired. But i leaves other options aswell.
"the powerful influence that the Minoan culture had on the later classical Greek culture"
http://www.fjkluth.com/minoan.html