The shrines in The Legend of Zelda: Tears of the Kingdom are important challenges to seek out and complete - not only do they help you learn how different mechanics work in an engaging fashion, but they provide useful fast travel points and useful Blessings of Light.
This shrine, located to the west of Hyrule Forest, is unusually situated to teach you about ice physics, but that's what it does. You'll be dealing with massive ice blocks, fire emitters, and a neat slide made entirely out of dangerous spikes if you want to claim this shrine's Blessing of Light.
How To Complete Kiuyoyou Shrine: Fire And Ice
When you enter this shrine, you will immediately be presented with the shrine's exit, but behind a gate that you must unlock. To your right is a very large flame emitter above a button, and to your left is an ice block near another button.
The ice block is unfortunately too large to fit inside the alcove to weigh the button down, so first, pick it up with Ultrahand and place it in the flames for a few seconds. This will melt the ice a little, making it small enough to fit in the alcove.
If you completely melt the ice block, don't worry; another will be provided for you.
This will open the way forward.
The next room has a few odd things: a permanent gust of wind shooting up into the air, a ramp made of spikes, and an ice block dispenser at the top.
Use your Paraglider to ride the updraft to the upper level. Now you'll see what's happening - the ice blocks are constantly being melted by a jet of flame.
Take the nearby large plate and place it in front of the flame jets. If you're left with a slightly melted ice block, take this and either melt the rest of it in the fire or throw it off the edge - we need a fully formed block of ice.
Take the large block of ice and place it on the ground out of the small pit, out of the way of any fire when you remove the large metal plate. Once you've done this, take the metal plate and place it on top of the ice block, attaching it.
Place the ice block/metal plate combo on the spiked ramp, and it'll slide down to the lower level. Join them by gliding down.
Take the ice block to the first set of flame emitters and place it on top of the button underneath, with the metal plate on top. The metal plate will prevent the fire from melting the ice, and you'll be able to weigh the button down safely, completing the shrine and unlocking the entrance.