Infinity hat

An infinity hat is magic armour from the infinity robes set worn in the headwear slot. 55 Defence is required to wear the infinity hat. It can be obtained as a reward in the Mage Training Arena minigame by giving the Rewards Guardian 350 telekinetic, 400 alchemist, 3,000 enchantment, and 350 graveyard pizazz points.

The infinity hat and the rest of the set (with the exception of the gloves and boots) can be recoloured by using the hat on an elemental rune altar, after completing the Rune Mechanics quest, with your Rune guardian follower present or in your inventory. It can be coloured to red (fire), blue (water), white (air), or brown (earth). Due to the large amount of pizzazz points required, it will take a long time to acquire enough points to redeem a hat.

A dragonbone upgrade kit can be combined with an infinity hat to make a dragonbone mage hat. This is a cosmetic enhancement and does not change the stats in any way.