What is the only acceptable form of art in the spartan world

Not sure but mostly Greeks' form of art is sculpture. Since Sparta is from Greece, they may vary in materials being used, but they're the same with the art of sculpting.

“the iliad” (gr: “iliás”) is an epic poem by the ancient greek poet homer, which recounts some of the significant events of the final weeks of the trojan war and the greek siege of the city of troy (which was also known as ilion, ilios or ilium in ancient times).