LunarRin

⚠️WARNING ⚠️ CONTAINS ADVANCED MATH

When "Ace is Traitor" theory suddenly becomes popular because of his birthday card where there is something like the oysters from Alice in Wonderland (that we know is deceived by the Walrus) I suddenly remembered one riddle from Alice in Wonderland by Lewis Carroll that I believe is related to Ace (if Yana really did base him on Alice in Wonderland)

For those who have been following me and read my theories so far, you all know that when I do analysis "based on Alice in Wonderland by Lewis Carroll" there will be high level math so buckle up if you are interested because it'll be a very long post or stay back if you can't stand it.

I'm not a mathematician and is stupid so I'm sorry if my understanding and calculation of math is wrong. If you are an expert at this field you are very welcome to correct and teach me.

Alright everyone, today let's learn Math to find the hidden character concept behind Ace Trappola

The Knave of Heart's Trial

To do a character analysis for Ace we should go back to Heartslabyul chapters because he played an important part in that book : As the "Knave of Hearts" who stole Queen of Heart's tart in "Alice in Wonderland" .

In the original Alice in Wonderland book by Lewis Carroll, Alice's dream of Wonderland ends when the trial of Knave of Hearts suddenly and dramatically collapses like a house of cards. Why? The answer to that is number "42"

And it's interesting how in Twisted Wonderland Yana chose to illustrate this in Heartslabyul book where the dream ends after the cards collapsed which is based on Lewis Carroll's version of Alice in Wonderland rather than the Disney one which Alice was woken up from her dream because of Queen of Hearts and her card soldiers are chasing her to the Wonderland Hall.

You can say that Lewis Carroll's wonderland is the wonderland that's created with base number 42. It begins on the title page with “Forty-two illustrations by John Tenniel.” After descending into Wonderland, Alice encounters an angry Pigeon who protects her nest “night and day” and hasn’t “had a wink of sleep these three weeks.” This gives her egg a hatching period of 21 days +21 nights = 42, or a unit value of(3 × 7 × 2) = 42. There's also the suppression of two guinea pigs in the trial scene. A guinea in English currency has a value of 21 shillings; consequently, the two guinea pigs (or piggy banks) would have a total value of 42 shillings. In the Queen’s rose garden, Alice encounters three gardeners who are animated numbered playing cards. If we add up the card numbers(2 + 5 + 7 = 14), then multiply that by the number of cards(14 × 3), once again we get 42.

And especially at the Knave of Heart's Trial, there are normally fifty-two cards in a deck. However, Carroll has been careful to leave the gardeners (the ten numbered spade cards) out of the procession, with the result that there are exactly 52 – 10 = 42 cards. The King of Hearts also said rule 42 as the oldest rule in the book, since it relates to the mathematical structure of wonderland which creates the Wonderland itself.(Riddle I'm looking forward for you to say rule 42 in the game)

Now let's move on to why number 42 is so important in Alice in Wonderland by Lewis Carroll.

Wonderland Multiplication Table

“I’m sure I’m not Ada,” she said, “for her hair goes in such long ringlets, and mine doesn’t go in ringlets at all; and I’m sure I can’t be Mabel, for I know all sorts of things, and she, oh! she knows such a very little! Besides, she’s she, and I’m I, and—oh dear, how puzzling it all is! I’ll try if I know all the things I used to know. Let me see: four times five is twelve, and four times six is thirteen, and four times seven is—oh dear! I shall never get to twenty at that rate! However, the Multiplication Table doesn’t signify: let’s try Geography.

-Alice in Wonderland Chapter 2 : Pool of Tears-

Alice's adventure begins and ends with number 42 as Carroll actually already gave a hint where in Wonderland's great hall at the very beginning of her adventure in wonderland, she recites the multiplication table, but as we see from what she said, it's a system that's suddenly foreign to her. And then she said "The Multiplication table doesn't signify." This is actually a math problem based on scales of notation.

For a normal people, when Alice said "4 x 5 = 12 , 4 x 6 = 13" it might seems like Alice forgets how to do the multiplication because what we know is "4 x 5 = 20, 4 x 6 = 24" but actually it's not that she forgets how to do it. It's because the multiplication table we used to learn in elementary school and is what we usually use in our everyday life is the multiplication table with the base of 10 while she did it with the base of 39

In daily life we usually work with a base of 10 (multiples of 10) such that 1111 becomes ‘one thousand one hundred and eleven’. But in other things like in Computer Science for example, there are other numbering systems that are used besides base of 10, some examples are Binary (Base 2) and Hexadecimal (Base 16)

In binary system , where base is 2 (multiples of 2), (1111)₂ = 15 (8×1+4×1+2×1+1×1). Now I'll explain why it can be this way.

In binary, there are only two possible digits because this binary system only has two characters: 0 and 1. Therefore each digit in a binary number represents a power of 2, starting from the right and increasing by one for each position to the left.

Let's break down the binary number (1111)₂ step by step:

The rightmost digit is 1, and it represents 2^0, which is 1.

The next digit to the left is also 1, and it represents 2^1, which is 2.

The next digit to the left is again 1, representing 2^2, which is 4.

Finally, the leftmost digit is 1, representing 2^3, which is 8.

Now, to find the decimal (base 10) equivalent of this binary number, you add up these values:

1 + 2 + 4 + 8 = 15

So, (1111)₂ in binary is equivalent to 15 in decimal. The expression "(8×1+4×1+2×1+1×1)" represents exactly this process of adding up the powers of 2 to calculate the decimal value of the binary number.

Now I'll give another example in the Hexadecimal numbering system where the base is 16(multiples of 16). I'll explain why (14)₁₆ =20 which makes 4×5=(14)₁₆ (20 represents the value in decimal calculated by adding the powers of the base of the Hexadecimal number system while (14)₁₆ represents the number in Hexadecimal number system itself)

In the hexadecimal (base 16) numbering system, there are 16 possible digits, which include the usual 0-9 digits and the additional A, B, C, D, E, and F, representing the values 10 to 15.

Now to convert the hexadecimal number (14)₁₆ to decimal (base 10) :

The rightmost digit '4' represents 4 in decimal, just like in our regular base 10 system.

The leftmost digit '1' represents 1 in decimal.

Now, to find the decimal equivalent of (14)₁₆, we simply multiply each digit by the corresponding power of 16 and add them together:

(4 * 16^0) + (1 * 16^1) = 4 + 16 = 20

So, (14)₁₆ is equivalent to 20 in decimal. The expression "(4 * 16^0) + (1 * 16^1)" represents this process of converting the hexadecimal number to decimal by calculating the values of each digit and summing them up.

Note : In any number system, including our familiar decimal system and other base systems like binary, hexadecimal, or any base you might encounter, any number raised to the power of 0 is always equal to 1. This is a fundamental mathematical rule that applies universally.

Therefore Mathematically, for any number 'a' in any number system with any base :

a^0 = 1

Now back to Alice in Wonderland, we have to find a base such that 4×5=12 as said by Alice in her multiplication table which is 18 (12)₁₈=20(18×1+1×2).

Alice’s multiplication table goes as :

4×5=(12)₁₈

4×6=(13)₂₁

4×7=(14)₂₄

4×8=(15)₂₇

As we can see the base is increasing by 3. So

4×12=(19)₃₉

And therefore, Alice is reciting the multiplication table with the base of 39.

Now Alice said that she will never reach 20. The value of (20)₄₂=42×2+0×1=84 but 4 times 13 is 52 which implies

4×13≠(20)₄₂

Therefore Alice will never get to twenty.

Once we progress to the 13 times level, to maintain the rule of this system, we must employ base 42. This proves to be fatal and the entire system thereafter collapses.

It's a pun!' the King added in an offended tone, and everybody laughed, 'Let the jury consider their verdict,' the King said, for about the twentieth time that day.

Because of number 42 (as a base number in the Wonderland multiplication system), Alice is right to declare that she will “never get to twenty at that rate.” And neither will the King of Hearts: “ ‘Let the jury consider their verdict,’ the King said, for about the twentieth time that day.” But like Alice, the King never gets to twenty either. For here we find the fatal number 42 looms up once more, and brings all in Wonderland to a cataclysmic end.

At this moment the King, who had been for some time busily writing in his note-book, cackled out “Silence!” and read out from his book, “Rule Forty-two. All persons more than a mile high to leave the court.”

Everybody looked at Alice.

“I’m not a mile high,” said Alice.

“You are,” said the King.

“Nearly two miles high,” added the Queen.

“Well, I shan’t go, at any rate,” said Alice: “besides, that’s not a regular rule: you invented it just now.”

“It’s the oldest rule in the book,” said the King.

“Then it ought to be Number One,” said Alice.

The King turned pale, and shut his note-book hastily. “Consider your verdict,” he said to the jury, in a low, trembling voice.

It is by the authority of Rule Forty-two that the King attempts to expel Alice from the court. Alice disputes this, however, objecting that if Rule Forty-two is the “oldest rule in the book” as the King claims, “then it ought to be Number One.” And with this peculiar logic, she suddenly finds herself capable of overruling the King and Queen of Hearts.

How is this possible? And why, besides the King and Queen, is Alice the only one not ordered executed? Once again, Carroll is playing a word game, this time the word-within-the-word game.

In one example, he suggests that although one may find ink in a drink, it is not possible to find a drink in ink. In another, he explains that one may find love in a glove, but none outside of it.

Consequently, Alice is ultimately able to overrule the King and Queen of Hearts when she discovers her true rank in this game: hidden within the word Alice there is an Ace

When the procession came opposite to Alice, they all stopped and looked at her, and the Queen said severely “Who is this?” She said it to the Knave of Hearts, who only bowed and smiled in reply.

“Idiot!” said the Queen, tossing her head impatiently; and, turning to Alice, she went on, “What’s your name, child?”

“My name is Alice, so please your Majesty,” said Alice very politely; but she added, to herself, “Why, they’re only a pack of cards, after all. I needn’t be afraid of them!”

“And who are these?” said the Queen, pointing to the three gardeners who were lying round the rose-tree; for, you see, as they were lying on their faces, and the pattern on their backs was the same as the rest of the pack, she could not tell whether they were gardeners, or soldiers, or courtiers, or three of her own children.

“How should I know?” said Alice, surprised at her own courage. “It’s no business of mine.”

The Queen turned crimson with fury, and, after glaring at her for a moment like a wild beast, screamed “Off with her head! Off—”

“Nonsense!” said Alice, very loudly and decidedly, and the Queen was silent.

The King laid his hand upon her arm, and timidly said “Consider, my dear: she is only a child!”

According to the rules of Carroll’s card game Court Circular, in which hearts are trumps, “the Ace may be reckoned either with King, Queen, or with Two, Three.” We are told the numbered heart cards in Wonderland are “the royal children,” which would seem to explain why the King of Hearts initially informs the Queen that Alice “is only a child”—in fact, the youngest child.

However, as an ace, she can choose to switch from the lowest-ranking heart to the highest. When she claims her power as the highest-ranked card in the deck—the Ace of Hearts—her role in Wonderland suddenly shifts from the virtually powerless to the most powerful.

Alice has finally discovered Wonderland’s “rule of processions.” In the ranking of Wonderland’s forty-two-card deck, Alice has become the highest-ranked heart. She has become the fatal number 42 that in the Wonderland multiplication table wrecks the mathematical structure upon which Wonderland is constructed. She overrules the rulers, and claims the power to end her dream. In waking, Alice brings the whole of Wonderland down like a house of cards.

So for those people who suspect "Ace Trappola" might have "Alice" in him, based on this analysis of Alice in Wonderland by Lewis Carroll, you are correct! 🎉

Conclusions (and Speculations)

Up till now we still don't know Ace's unique magic. I don't know if "Ace is Traitor" theory will turn out to be true but if Yana really created Ace based on Lewis Carroll's Alice in Wonderland, after I did a deep analysis on him I don't think he will betray Yuu. It's more like "he will be the one that makes Yuu realize Twisted Wonderland is just a dream just like how any other Wonderland that we know is". But since Wonderland is "deceptive" itself by its nature, just like any other Wonderland that we know, Yuu might think of Ace as a traitor but in fact he is just telling the truth.

Based on the analysis of Carroll's riddle and Heartslabyul book, my prediction is his unique magic at least capable of doing this :

1. From the weakest become the strongest.

2. Break and collapse a dream/dream world. This can be a dream world made by Malleus or Twisted Wonderland itself, in which he might play an important role in the Diasomnia chapter or NRC/Ramshackle chapter. In my past theory of a way for Yuu to go back home , I put Silver as one of the key characters for Yuu to go back home since he relates more to the quaternion and had ever met Mickey, but I also always think Ace might also play an important role for Yuu to go back home.

Well, what do you think? I look forward to the continuation and revelation of the main story.

I GOT DAY 2 FOR THE PROMPT LIST

Tw for blood under the cut!!

(Contains spoilers for the main story, Ace’s personal stories, events, and etc.)

I made a theory on how physically strong Rook must be, so it’s time to go on the opposite spectrum and talk about how intelligent Ace is.

People often like to joke that Ace is part of the shared braincell trio. Heck, even I’m very guilty of this. But how true is this exactly?

While he’s certainly not at Azul’s or Jamil’s level of intelligence, Ace has shown multiple times that he’s very capable of lying and manipulating people. He’s also displayed intelligence in several instances.

Main Story

First of all, let me discuss how he shows intelligence in the main story. The very first thing Ace does in the main story when we meet him is trick MC and Grim, hiding his true emotions towards them until he couldn’t take it anymore and decided to make fun of them. He was able to hold up this friendly facade to explain the Great Seven to them.

In chapter one, Ace may have made the stupid decision to challenge Riddle when he’s just a first year with not much experience with using magic, but he was also the one who went off on Riddle repeatedly for his actions. Personally I believe this was a good display of his emotional intelligence.

In chapter two, he and Deuce help with catching the culprit and it was revealed that he was only doing it to gain Riddle’s favor so that he could play in the magift tournament. While this doesn’t exactly work out for the two of them, this still shows how often he can put up a nicer facade to trick people since this is already the second time he’s done this.

In chapter three, Ace is shown to have gotten the highest score among him, Deuce, and Grim. His score was over 90 points. I understand that this was mostly because of Azul’s notebook but it’s still quite interesting how much information he managed to soak up from that notebook in order to get such a high score compared to the other two. Later on, he distracts the mer-guard by acting like a big fan of merfolk and he does this extremely well. He got the mer-guard to talk to him and they had a conversation about the Little Mermaid movie.

And in chapter five, he was able to do mental maths quickly and told Deuce the total madol that MC and Grim would get if they let the VDC team use the Ramshackle Dorm.

Personal Stories

Now that we’ve discussed Ace’s actions in the main story, let’s move on to his personal stories. These stories are filled with a lot more instances of Ace being calculating and cunning.

In his School Uniform R Personal Story, he attempts to manipulate Trey into spilling the possible contents of an upcoming test. After his attempt failed, he tells Trey that his brother taught him to add a bit of truth into a lie.

In his PE Uniform Story, Ace says that he can see the hoop once and shoot without having to look at it a second time. Riddle says that he has good spatial awareness. Then Ace ends up proving that this isn’t a lie when he catches a magift disc that could’ve hit Riddle’s head.

Now for his SR stories. In his Lab Coat Story, Ace manages to pull a mandragora perfectly on the first try. This shows how fast Ace learns.

Then in his Ceremonial Robe Story, Ace got bored of the ceremony and decided to sneak out. How did he do this? He specifically said that he should grab another person that looks weak so that if they got caught, he could say that the other person needed to get to the infirmary. Then he grabbed Epel. While he was out and talking to Epel, he mentioned his brother and said his brother could recommend good places to skip out on. He also says that if he decides to take a nap on a bench and gets caught by a teacher, he could feign a stomach ache.

Now to discuss SSRs. First off, the Dorm Uniform Story. We see that Cater says Ace is cunning when he shows him card tricks. Ace reveals that he learned card tricks from his brother by watching him over and over and memorizing them. This shows that Ace has a good memory and Cater even says this as well. Then he had to look for the lost hedgehogs and Rook offered his assistance (after calling his aura pathetic). Ace managed to memorize some mole language, a language that’s level is beyond what most animal language majors even reach in college, after Rook taught him once.

In his Birthday Suit Story, MC describes him as pretty dexterous. Ace’s dominant hand is his right but he can also use his left hand to build a tower.

Extra Notes

The thing I noticed about Ace is that he doesn’t want to work so much. He’s shown multiple times that he just wants to have fun and not have to strive to work so hard. This was most evident in his PE story when Riddle said he’d consider choosing him for interdorm sports events and Ace responded by saying he doesn’t want harsh work. He usually seems to use his intelligence and cunning wit to make things easier for him or to amuse himself.

It could be possible that the only reason he made a contract with Azul was because he just didn’t want to have to study so much.

That being said— With how well Ace can put up a convincing facade and how he doesn’t want to put much effort into things, could it be possible that Ace is a genius but puts up a “dumbass” persona so that people won’t expect much from him and have him go through harsher work? He also isn’t exactly the type of guy who always wants to stand out, as revealed by him getting embarrassed in the Ghost Marriage story and his Birthday story. So if he acts dumber than he really is, he won’t stand out much and people won’t expect things from him.

Conclusion

Every first year has their own type of intelligence. Deuce is very empathetic, Jack has a good mind for strategic thinking, Epel learns pretty quickly and has his experience in the country, and Sebek is book smart.

But Ace displays multiple forms of intelligence and uses it often for his own benefit.

(English Translation: At the unexpected )

This particular scene has been stuck in my mind for some time and lord help me, I need to simp this out wwww. Honestly, props to this AMAZING Ace simp that I met on my discord server—she’s the one who shared this idea (BRAINROT) and inspired me to write this scene down wwww. This is for you, Lunar!

Note that everything written below is just hypothetical and crafted from the whims of the uncontrollable imagination of a simp :”> Warnings: Demon!Ace, Vague Description of Violence

Additional Voice Lines: Dress-Up Groom Event Card

Based on Ace Betrayal Theory because I simp him.

Song : Villain by Stella Jang

Okay, I just want to simp again