Kaishima

Kaishima is the slash ship between Kazumi Mishima and Kai Satou from the Your Turn to Die fandom.

Your Time to Shine
Having no interactions in the main story, the basis for the ship, as with most ships involving Mishima, comes from their Fondness Events in the side game Your Time to Shine. In the first, Mishima overhears Kai lamenting how scarce food is on the island. Mishima states he shares an interest in cooking, prompting Kai to ask to look at his hands. Mishima obliges, and Kai jokingly reveals the results of his ‘analysis’, that Mishima’s lungs are severely damaged from smoking. Mishima is shocked at this, to which Kai assures him he was only joking, but expresses concern for his health. Mishima then asks what the analysis revealed about his cooking skill, which Kai teasingly promises to tell him at the “same hand-analysis time, same hand-analysis channel”.

The second is a continuation of the previous event, with Kai revealing Mishima’s full results, in the form of video game-esque stats. Mishima seems confused, and Kai explains that Mishima’s stats match those of a “seasoned veteran of life”, although Kai possesses greater cooking skills. Mishima says that he would be interested to try Kai’s cooking should they survive and return home safely, and Kai agrees to make him “the home cooking of a househusband that can make his wife groan with delight”. This leads Mishima to inquire if Kai has a wife; Kai vaguely answers, “Do I appear as such?” to Mishima’s bafflement. Kai assures him that he will reveal all next time, and Mishima pleads that Kai stop using his palm-reading results to “play mind games” with him.

In the final Fondness Event, Kai notices Mishima looking over at him. Mishima asks to see Kai’s hands; Kai agrees, and Mishima comments his hands are “the hands of someone in the dark underbelly of society”. Kai is alarmed by this, and Mishima remarks that Kai has a “robust body for a homemaker”, and further explains that he was able to reach this conclusion by observing Kai’s behavior. He goes on to say that he also noticed Kai’s hands carried marks of someone who holds great affection toward another, such as cooking injuries. Kai, seemingly feeling exposed, asks Mishima to stop, and apologizes for having teased him, admitting that he only did so because of their common interest in cooking. He thanks Mishima, saying that his palm reading “saved him in some small part”. Mishima says not to mention it, and Kai replies that Mishima is “no ordinary individual himself”.

Official 4-koma comics
1. 19 "Home Cooking": Sara complains of being hungry, and Kai prepares to make them something to eat. Mishima then announces that he made far too many pancakes and invites them to join him and Nao. Kai compliments his cooking, saying the pancakes are "very delicious", with Mishima nervously thanking him.

2. 45 "Listen to Me": Kai writes of Mishima: "There's no-one as individual as you."

Quotes
"Hm. I believe I'll return home, and protect that home as usual. Mishima... Let us someday cook for one another. I wish to treat you with my own hands."

- Kai to Mishima in the "Normality Regained" ending, if you viewed all his Fondness Events

"Perhaps with your deeply loving life now, you hope to blot out your dark past..."

- Mishima to Kai, third Fondness Event

"Mishima... I feel your palm reading has saved me in some small part. Thank you... ever so much."

- Kai to Mishima, third Fondness Event

Fanon
Kaishima is a rarepair, having only a small amount of fan content. This is likely due in part to Keimishi and Qkai being the favored ships for Mishima and Kai respectively (although there are instances of polyshipping some or all of them together), the fact that some fans have not played Your Time to Shine, and both character's early deaths in the main story. However, fans appreciate their many similarities, such as their shared interest in cooking, as well as the fact that both are somewhat eccentric and give an off-putting first impression but are kind people at their cores. They can relate to one another, in that they both want to overcome a dark past, with Mishima having previously been a self-described ‘hoodlum’ and Kai having been trained as an assassin. Another reason the two could be a good match is that Mishima is able to see through Kai’s emotional barriers, and each views the other without judgment; which would be good for Mishima who often feels as though others are frightened by him. In the art book, Kai expresses that he prefers a relaxed lifestyle, which Mishima could likely provide having a rather laid-back personality, but that’s not to say the two couldn’t have fun together; Kai seems to enjoy teasing Mishima but is respectful of his boundaries. Kai seems to appreciate Mishima's individuality. All in all, the two seem to get along well and display potential for a healthy relationship.

Fandom
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Trivia

 * Mishima's surname contains the kanji for island (島; 'shima') and an alternate kanji for Kai (貝, 'kai') can mean seashell or shellfish.
 * Kai and Mishima are close in age, with Kai being in his late twenties and Mishima being 30.