Well this happened

This theatre hat is more Arabian Princes than Prince

But you can just about get with it. 

A basic cardboard cylinder covered in fabric and then plastic decorations, it sets a scene well and could be made at home by anyone.

Pointy Bamboo Hat

This conical bamboo hat has a nice pointy shape.

Bamboo hats of this style are designed to protect the head and face of farm workers from the sun and rain.

Other English names for the conical hat include sedge hat, rice hat, paddy hat, bamboo hat, Raiden hat and sometimes coolie hat. 

But in Malay they are called the Terendak, In China Douli which translate to Bamboo Hat, in Japan Sugegasa, the Do'un in Cambodian and there are many more regional names

Ballistic Helmet

Whilst this helmet was sourced from a army surplus store its not really a military helmet as far as I known, its some for reproduction tactical helmet probably used for airsoft or paintball or similar

Its does offer some protection though its not marked as being to any particular standard

Underwear for the Head

 

The Linen Coif is cap that was worn in the medieval period, simple piece of linen formed from a couple panels of fabric tied around the head.

About as basic a cap as you can get.

I also like to think of it as head underwear since it also protects a more expensive hat from coming into contact with your greasy, filthy, flea infested, medieval hair.

Coifs come in many forms, padded for wearing under helmets, chainmail coifs are a form of armour and coifs also became garment worn after the medieval period by nuns.