Rice cakes are probably my favorite thing, EVER.
In Korea, they come in all shapes and sizes. They're sweet or covered in hot sauce, served plain, or stuffed with goodness. They're amazing. In the photo above you can see long skinny ones, some shaped like figure 8s, and some stuffed with cheese!
Rice cakes in Korea are called ddeok or 떡.
(all photos are mine^^)
This is chicken and ddeok in a cup!
The chicken and ddeok and fried up in a sweet and spicy sauce. The outside of the ddeok is a little crispy but the inside is still super soft and chewy!
This is dango!
This is a more Japanese take on ddeok but you can still find it in Korea! Traditional Korean version of this is grilled ddeok. It's just a few pieces of rice cake on a stick and placed on a grill to make them crispy and warm.
This is bingsu!
An amaaaazing Korean dessert that comes in all different flavors. The more traditional flavors of bingsu like patbinsu (red bean) usually comes with ddeok on top! In this case, the ddeok is rolled in misugaru which is a powdered grain a lot of Koreans use in lattes or nutritional drinks :)
This is ddeokbokki!
The actual love of my life. Ddeokbokki is a ton of rice cakes thrown into some super spicy delicious sauce with fish cake, onion, and usually a hard boiled egg. You can get this as street food or in nearly any Korean restaurant you pop into :)
Also, @carenabobo, here are the fish on a stick (also called oh-deng) that I think you were talking about^^