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The Luiginoid Formation is a type of Luiginary Work in Mario & Luigi: Dream Team. It has many uses for Mario and Dreamy Luigi. It is described by Prince Dreambert as being a "legendary" Luiginary Work.
If the formation contains a stack, then a stack of Luiginoids will form and Mario will climb to the top. This form is first used in Dreamy Dozing Sands. While in this form, the Bros. will plow through most enemies and are able to perform the following techniques:
Pressing makes the stack jump. Mario and the stack can use this to reach platforms or activate switches too high to reach.
While the stack is on a ledge, the player can use to make the stack lean over. The Luiginoids can activate switches this way. If there's nothing to lean against, however, the stack loses its balance and collapses.
While the stack is midair, can be used to ground pound. The Luiginoids will break through most blocks with a ground pound.
Pressing makes Mario flatten the stack. While the stack is flattened, Mario and the Luiginoids will be able to move through low ceilings. Pressing reverts the stack to normal.
While the stack is crouching, pressing causes the stack to spring, allowing the stack to jump many times higher and crush blocks above it.
Pressing turns the stack into the cone formation, which looks like an inverted cone, with Mario on top. This form is first used in Dreamy Mount Pajamaja. While in this form, the Bros. will also plow through most enemies and are able to perform the following techniques:
Pressing makes the cone jump, which falls slower than a normal jump. Pressing while midair makes the cone drop quickly.
Pressing while midair makes Mario Jump, making the cone rise a bit, increasing the aerial duration a bit. Mario will also be able to hit ? Blocks above him.
Pressing creates a large tornado, with all the Luiginoids whirling around. The player can control where Mario goes with , and push crates that have been affected by the tornado. Pressing will return Mario and all the Luiginoids to their original location.
Pressing turns the cone into the ball formation, which looks like a sphere, with Mario balancing on top. This form is first used in Dream's Deep in Dreamy Pi'illo Castle, later in the game. While in this form, the Bros. will plow through most enemies, move faster than other Luiginary Forms, fly up ramps, and are able to perform the following techniques:
Pressing causes Mario to swing the ball around and around, breaking certain obstacles. Mario can move up and down in this state. Pressing again will launch the ball a far distance, returning to Mario almost immediately. Pressing will cause Mario to balance on the ball again.
Pressing aims the ball at the Hookshot point and pressing again launches Dreamy Luigi and a string of Luiginoids to the nearby point. If the line is not aimed at a Hookshot point, the Luiginoids will spring back.
This move is a reference to the Hookshot from the Legend of Zelda series, and the move works almost the same as the aforementioned item.
To revert to normal, the player can press to pile the Luiginoids and then press or to make them jump back into the Luiginoid Formation. Pressing cycles through the various forms the Luiginoids create, if there is access to more than one, in this order: Stack → Cone → Ball → Pile.