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Infinite Glacier is the name given to the location in which the game Ice Climber takes place in. It is also the location of two stages in the Super Smash Bros. series: Icicle Mountain (from Super Smash Bros. Melee) and Summit (from Super Smash Bros. Brawl). An interesting note is that both stages represented in Infinite Glacier are moving stages, as Summit moves when the top of the mountain breaks off and slides down to the ocean, after a while, the iceberg flies back up to the top of the mountain and the whole process is repeated.
It is likely that the area's name comes from the fact that Ice Climber's mountain goes on forever.