The Spartans were the fiercest of the five different armies, and yes, they did wear the helmets on the right. Their sacred weapon was the spear, and they did anything to win. Steal, lie, even cheat. They were trained in harsh conditions, at age seven they were sent to labor camps where they were beaten, whipped, and punched but weren't allowed to cry out in pain.
If you a Spartan, you are fierce rivals with the Athenians and will do anything to beat them.