Hey Zombie thumbs! The "Hoplite" Shield is called an Aspis, a round convex shield with an armband called a porpax. The term "Hoplite" is a term used to refer to a fully equipped man, meaning a man with full armor weapons and his aspis shield. The debate over the overhand grip in dense formations arises from interpretations of vase paintings and experimental archaeologists. When re-enactors have tried to duplicate dense formations they say the ability to wield the spear underhanded is impaired and when the pressing or Othismos phase of battle is duplicated supposedly the buttspike (called a sauroter) tends to impale the wielder in the thigh or jabs the guy behind you. Indeed most reenactors tell stories and have scars in their right thighs and will tell you all about failed attempts. Personally I think there is a hint in the language the Greeks used of the phases of combat itself, prior to the "Pushing" phase there is a phase referred to as "Doratismos" or spear fencing. My theory is that this phase was a more open formation with underhanded spears with the goal in mind of attritting the opposing formation. When the commander of that formation believed they had the advantage they closed up the formation, brought spears overhead and tried to break the enemy formation by advancing and shoving. An interesting little side note, apparently modern engineers have figured out that during riots and panicked crowd situations it takes 8 human beings pushing forward for the crushing effect to become lethal to those upfront. A typical hoplite formation was exactly 8 ranks deep. One of the theories behind the convex shape of an Aspis shield is to create a cavity to protect a human chest cavity from being fatally collapsed.