This item is a direct reference to the weapon of the same name from Team Fortress 2. The 'Strange' prefix is used in that game to signify weapons that track how many kills the user has gotten with them; while most weapons can be obtained in this quality from opening crates, the Frying Pan can only be 'strangified' by applying the rare Strange Bacon Grease item to it.
As is the case with The Holy Mackerel, the fact that this item deals triple damage on a critical hit is a reference to TF2, in which critical hits deal triple damage instead of Terraria's double damage critical hits.
Its increased critical hit chance is in reference to the Frying Pan's memetic status in TF2, where it is often jokingly said to have nearly guaranteed critical hits because of the inherently increased crit rate of melee weapons and how players often go out of their way to attack with it.
Like the other Frying Pan items, this item's tooltip references the Demopan fad often associated with the item in TF2.
This item uses the exact same texture as the base Frying Pan.
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