Amelapidot

Amelapidot is the poly ship between Amethyst, Lapis Lazuli and Peridot from the Steven Universe fandom.

Canon
Peridot is great friends with both Lapis and Amethyst. She lives at the barn with Lapis and, occasionally, hangs out with Amethyst as well.

Peridot
At first, Lapis is hesitant to live with her. Peridot tries to earn her trust by giving her gifts, a card, a pool and her favorite item, the tape recorder, but Lapis rejects her. Peridot then explains that she understands how Lapis feels, what makes her reconsider her decision.

It becomes clear that Lapis enjoys Peridot's company as they like to make art (or, as they call it, "meep morp") and music together and watch "Camp Pining Hearts". Under the threat of the Diamonds invading Earth, Lapis runs away taking the barn with her, leaving Peridot and Pumpkin behind. After some time, she returns to Earth and, as of "Steven Universe: The Movie", they seem to be on good terms.

Amethyst
The two have not interacted much, but they are presumably on good terms as they are both Crystal Gems now.

Lapis
Peridot seems to sympathize with Lapis since they are both Homeworld refugees and she tries to convince Lapis to live with her by offering her gift. After all the attempts to make it up to her fail, Peridot explains that she understands how Lapis feels what cause her to change her mind and they move in together.

She is happy that Lapis cares about her. She seems deeply upset when Lapis left with the barn and, after she comes back, she is very surprised, running to her and asking if she's really back. As of "Change Your Mind" and "Steven Universe: The Movie", they seem to be getting along well, hanging alongside Bismuth and building Little Homeworld.

Amethyst
Peridot sees Amethyst as "above" the other Crystal Gems as she is a quartz, the only "real" gem. She is shown to care about her, saving her from the drill that was about to hit her, pushing her out of the way. Peridot admits to find Amethyst's company entertaining. When Amethyst gives her nicknames, Peridot decides to give Amethyst some nicknames back (Ams, Big A, etc.). She gets excited when she sees Amethyst, yelling her name loudly. She tries to impress Amethyst with her "meep morps" and music. She also thinks Amethyst is way better than Jasper, despite Jasper being non-defective. In "Change Your Mind", Peridot is shown gleefully running up to and climbing on top of Amethyst after finding out about the latter's reformation, showing that the two are good friends.

Peridot
Amethyst cares about Peridot, telling her she likes her for who she is, not who she could be. She likes Peridot's jokes, but sometimes she finds them hurtful. After finding out how Amethyst feels, Peridot apologizes to her in a recorded message. Amethyst still sees Peridot as a nerd and likes to call her one. She enjoys giving Peridot nicknames, such as "P-Dot" or "Peridactyl". In "Too Short To Ride", she was determined to get Peridot the Alien toy she wanted. In "Back To The Kindergarten" she attempts to cheer her up by planting sunflowers in it.

Lapis
Though the two have not interacted a lot, they seem to be on good terms as they are both Crystal Gems.

Fanon
It is not very popular in the fandom, having only 48 fanfiction works on AO3 and not having many posts on Tumblr. It was presumably made to end the wars between Amedot and Lapidot, though its shippers also ship it because they like both ships equally and think it's cute.

Fandom
FAN FICTION

Amethyst/Lapis Lazuli/Peridot tag on AO3

TUMBLR