ゼルダの伝説：神々のトライフォース
The Legend of Zelda: Triforce of the Gods

The Powerful Gloves open several new areas. Let's start with the Light World.

Additional warp tiles to the Dark World were hiding under heavy rocks in the southeastern mountains, on the main island in Lake Hylia, and on the desert ledge right next to the #6 Ocarina dropoff point. One more warp tile, on a raised area behind a heavy rock in the far northeasten reaches of the mountains, appears after Hammering three pegs in the correct order (southeast, north, southwest).

Mirroring from locations previously locked behind these new warp tiles open up every remaining Light World location... except for a single cave in the eastern mountains.

In Randomizer runs, the "Floating Island" in the mountains is one of those locations that's convenient in that you can see what the item is in advance, often before you're able to collect it. In a regular playthrough, there's a piece of heart there.

"Checkerboard Cave" (named for its checkboard pattern of blocks) in the northeastern desert is another location that has a piece of heart in a regular playthrough. Although it conceptually goes with the Misery Mire locations, you don't actually need the Moon Pearl to get there, so the Randomizer could potentially expect you to go there without it.

Thanks to the new warp tiles, everything in the Dark World overworld is now open, except for that creepy glowing tower and a few cave entrances on Death Mountain, and a bit of the pyramid.

Of particular note in a Randomizer run is "Hookshot Cave", under a large rock in northeastern Death Mountain. Most of the cave is only reachable by Hookshot (or Hovering), hence the name, and it contains four chests, in addition to being the access route to Floating Island. However, the first chest (the southernmost one) is reachable using only the recoil from dashing into things, so keep that in mind.

Also noteworthy in a Randomizer run is that the Powerful Gloves (Titan's Mitts) and Moon Pearl, by themselves, give access to the bulk of the Dark World through the warp tile outside Kakariko.

New locations that are significant in a regular playthrough are described in more detail below.

On the southern outskirts of the Village of the Lost, Link can lift heavy stones to reach a frog man:

The frog follows Link. When he warps to the Light World, the frog comes with him and becomes a dwarf. Link heads to the blacksmith's hut.

Link comes back a bit later (going outside and coming back in is enough)...

And so, Link is briefly swordless.

What happened to his other sword, anyway?

Might as well kill some time. There's a blue treasure chest in the Dark World where the blacksmith hut should be.

Acting on a hunch and some stray comments he heard earlier, Link tries taking the chest to the man sitting near the desert in the Light World.

Specifically, a thief in the Disorienting Forest mentions a rumor that one of their former members is at the entrance to the desert, and an NPC somewhere in the Dark World mentions a master lockpicker posing as a strange middle-aged man to hide that he used to be a thief.

Inside is the fourth and final Bottle. Link returns to the blacksmith hut, where the sword should be ready by now.

Sword tempering seems to run on the same logic as Magic Powder brewing, so just move to another overworld screen (or go through a Mirror portal) and come back, and they'll be done. The Bottle fetch quest isn't necessary for them to finish, or even relevant other than forcing you to leave the area.

The newly tempered Master Sword glows red, makes an even deeper sound when swung, and hurts twice as much (usually) as it used to.

The ALttP Randomizer randomizes both the chest contents and the reward from the blacksmiths, unsurprisingly, but also removes the delay in getting the reward. These two items are collectively referred to as the "Smith Chain". Having the Mirror, ideally along with the Ocarina (which flies the chest with you), makes these checks go quicker. If able to, runners will often visit the Magic Bat while doing the Smith Chain, and also check another location right outside the smithy in the Dark World ("Hammer Pegs") that has a piece of heart in a regular playthrough,

The warp tile in the middle of Lake Hylia grants access to the next labyrinth.

The ALttP Randomizer's Inverted mode puts an opening in the wall around the dungeon entrance, so no Gloves are needed to enter.

This place is rather... frozen. Some floors are covered with slippery ice, ice golems (immune to everything except the Fire Rod and Bombar Magic) occasionally pop out of the walls, and there are even demonic penguins (which, amazingly, fall to a single hit from Bombs or the Hookshot). This dungeon also has a unique sort of statuary with long tongues, some of which can be pulled out and act as switches. However, the worst part of this labyrinth is trying to navigate it, as it's even more maze-like than the previous ones.

If playing a Swordless Randomizer seed, some rooms have Bombar tiles added that allow you to use that spell while standing on them. On that note, entry to the dungeon logically requires the Flippers and Powerful Gloves (Titan's Mitts) to access the warp tile, and the Fire Rod or Bombar to kill the enemy in the first room.

Just inside the entrance, Link finds a telepathic tile:

There isn't much to go on, but the speaking style seems to be Sahasrahla's. It's not Zelda's, at least.

Deeper into the labyrinth, skeletons drop from the ceiling. They collapse when Link hits them, but won't die. Another telepathic tile gives a clue, though.

The feminine Japanese implies this is Zelda.

That's only somewhat helpful, but it turns out that Bombs kill them when they're collapsed (one of a few practical uses of Bombs as weapons).

Even further in, in a large room full of ice, Link finds yet another telepathic tile:

The "old man" Japanese implies this is Sahasralah speaking.

Finally, after much trouble, Link finds the big key and backtracks to get to the big chest.

服 (fuku) is a generic term for clothing, but "tunic" fits better when taking context and appearance into account. "Mail" doesn't so much. Also, うれしい (ureshii) generally translates to "happy" or "pleasant", but it sounds rather silly to use either as an exclamation in English.

After finding the Blue Tunic, Link's tunic does visibly turn blue, and his hat turns a light tan to match, I guess. As stated, he also takes less damage from most attacks, usually half as much as before, though some damage is reduced less, and some not at all.

The rest of the labyrinth is fairly tricky, requiring Link to do a lot of backtracking just to get a block to hold down a switch.

Though you could always go on ahead to the next dungeon and grab the Staff of Somaria to avoid most of that... Also note that there are two large pots in the room just north of the button that needs to be held down; jumping in either one from the floor above leads to an uncharted room with three faeries.

The GBA version of the game redoes the puzzle, replacing the pushable blocks with one big liftable block, and changing the room below to have a one-way obstacle with whack-a-moles and pushable blocks. This arguably makes it more obvious what you're intended to do, and removes any guesswork about which block to push, but negates the workaround entirely. Unsurprisingly, speedrunners aren't pleased with the change. (The version differences page on TCRF also claims the redesign makes two rooms from the original unreachable, but I didn't notice anything like that in the video I watched... unless the unmodified versions of the redesigned rooms are still in the game data?)

The boss is a big pink snowball with an eye, and it's surrounded by a huge chunk of ice. Blocks of ice fall at Link from the ceiling periodically just to be annoying. The only things that affect the huge chunk of ice are the Fire Rod and Bombar magic. When it melts, three snow-eyeballs are revealed that slide around randomly until Link kills them. The sword works, but the Fire Rod is faster, assuming Link has enough magic left to keep using it. Explosions, heart container, crystal.

For Randomizer purposes, the Ice Temple contains a map, a compass, two small keys, and a big key (if these aren't shuffled beyond their usual dungeons), and three other items. The first chest has no special requirements beyond entry to the dungeon, and neither do two others. The big chest requires the big key and whatever it takes to get that. The other four chests, and the boss itself, may logically require the Hookshot, depending on key placement. One of these four chests additionally requires the Hammer, and so does reaching the boss (both of these also require Power Gloves, normally a non-issue). Reaching the boss also logically requires the big key (though either of the shortcuts noted below can bypass this), and may logically require the Staff of Somaria as well (to hold down the button) depending on where the keys spawn (since, if not shortcutting, you need a key to open the room to flip the crystal switch to push the block into the hole to use it below).

One of the chests with no additional requirements is easily overlooked by those more familiar with the original game and less familiar with the ALttP Randomizer; it's in the room above the big chest, appears after melting both ice golems in the room, and contains 3 Bombs in a regular playthrough.

The dungeon also has two small keys dropped by enemies and one under a large block behind some whack-a-moles; these are not randomized and will always be in their usual locations. The first dropped key is in the second room of the dungeon and must be used immediately to continue on, so can't affect routing.

A large part of the frustration of this dungeon is wanting the crystal switches set to blue to push the block to hold down (or even just more easily reach) the button to open the door to head toward the boss, but the dungeon forcing you to set it to orange to get past an earlier room where an orange barrier otherwise blocks the way. To drastically cut down on time spent in the dungeon, runners frequently bypass this using the Ice Palace Bomb Jump (IPBJ), a tricky, probably pixel-perfect, diagonal Bomb Jump to get around the barrier without lowering it. My understanding is that most runners line themselves up by comparing Link's hat to the bottom of the north wall, or holding out the sword and comparing its positioning to the Bomb's shadow. I've never quite gotten the hang of it, personally.

Other Bomb Jumps are also fairly often used in here, typically to get through the Hookshot room without the Hookshot, or to skip past the pit in front of the eastern door of the room above the big chest to get from one side to the other without a lot of circling around.

A more recently discovered and permitted glitch, Icebreaker, gives runners with the Staff of Somaria another way to shortcut the dungeon that leads to more chests sooner, and is probably a bit quicker overall for clearing the dungeon. And since I've gotten pretty good at doing it, here are the steps:

At the early room with the penguins and the button under the skull that opens the doors, continue east to enter the room that has the big key chest mockingly out of reach. Hold right until you're as far east as you can go (not very), then tap left and swing your sword (or press Start or Select) to interrupt Link's movement. The goal here is to get just barely into the doorway (the black border on the back of your shield aligning with the black border along the doorway helps indicate correct positioning). Once in place, hold down and right. If you were in the correct spot, Link will get "caught" on the barrier and not move downward. Release down and right, making sure that Link doesn't move at all while doing this (it may help to enter the menu). Without moving, use Somaria to drop a block. If placed correctly, the black outline of this block and the black outline of the barrier will overlap. Now, move exactly one pixel to the left (again, swing your sword or press Start or Select to interrupt movement). If done correctly, the outlines of the block and the barrier will be just touching, but not overlapping. At this point, all you need to do is hold down, and Link will be forced east all the way through the barrier to the side with the chest!

The ALttP Randomizer wiki tells me that Icebreaker is an application of the more general Door State Extension glitch. To the best of my understanding, here's what's going on: All of the setup steps are to make the game think Link, and the block, are inside the doorway. Upon pressing down at the culmination of the glitch, the block can't be pushed down because of the doorway state, and the game doesn't want Link to be overlapping it, so it pushes him further into the room instead. Since there's no space at all between the block and barrier, he then keeps getting pushed to the right until he's in the clear on the other side.