Trouble with shadow armor greaves

[Coffee Table.]

Hi, I'm having trouble finding the shadow armor greaves, I checked the wiki, it said snow dungeon, went there with an ice crystal, killed the sword, nothing. Am I doing something wrong? I even checked the discussions, and everything I've done should have had at least given me some clue as to what I'm missing, or I'm blind. I'll list the chain of events I did.
-kills all swords
-missing shadow greaves
-checks fire crystal dungeon
-no sword level
-checks wiki for how to get
-0 help, checked the place it said to go.
-nothing
-this post
-potential rage for not seeing it like I'm blind
let's just leave that last one out...
It is a bit saddening because I really want to see what the shadow armor does for myself, and I can't find pants. it happens in other games too

[Planet Centauri]

Hello,

You will find Greaves into the snow dungeon , not the moutain one, the snow biome near the green cristal. the dungeon can be slightly hidden under the surface

[ChaoticGamer]

it is kind of confusing what biomes of these shadow parts are in, but I hope someone will made a guide to make sure that is given to players to understand where to find the shadow samurai armor.