37

A finite length composed of an infinite number of points. In a sense, it represents a division of spatial intervals, also implying an inquiry into truth and a self-admonition, as explained by the interviewee. Despite this, I always thought it was just an armband.

A crown of fabric, tulle and silk, delicately crafted to look as if still wet from the morning dew. Each flower on it has a petal count that fits the Fibonacci sequence, making it especially pleasing to the wearer.

A pure white shawl with a mystical aura, intricately woven with openwork geometric patterns, serving as a doorway to ancient wisdom.

"Wearing geometry doesn't do much to inspire creativity," the interviewee calmly declares.

A pure white apron trimmed with a fringe, designed to catch the occasional stray splash.

The interviewee explained that the hem traces the pattern of melted ice cream flowing under gravity. Calculating that curve cost twenty scoops of ice creams—though eighty percent of them went toward what she calls "brain fuel."

A hyperbolic paraboloid, cut from a single piece of fabric, is the robe that best embodies mathematical geometry. It is highly esteemed by the islanders. It is perfect, but... one must be careful when walking, says the interviewee firmly.

The wearer has repeatedly insisted that its true purpose is as a "proof of concept." Whatever the reality of this claim, it is an ordinary hair ornament made of plastic pearls.

The finely woven fabric intertwining and extended with geometric logic, forming an almost perfect symmetrical structure. Of the naturally curved tassels, the interviewee says she could still feel some softness and flow even within the cold precision of geometry.

A pair of kitchen gloves, giving the young mathematician the right sense of occasion and the necessary hygiene.

The inner lining bears an arcane inscription: "Sweet and Delicious." Its trigger condition is a specific ratio of milk to sugar.

A neckpiece tailor-made for the wearer, with a simple yet profound design. Although the interviewee did not reveal much, we can still speculate. It is a symbol composed of straight lines, circles, and triangles, a fulcrum balancing thought and action, symbolizing the earliest geometric measuring tools.

A feather shed by an unidentified bird. The wearer is fascinated by the regularity of this beautiful pattern and places it in the center of the golden ratio on her calf.

A pair of tropical cave-dwelling bird companions, primitive, mysterious, and enigmatic.

According to the interviewee, they sometimes part but never for long, they remain exactly as they were the day she arrived. Perhaps some things never change—at least she firmly believes so.

Decorations commonly found on desserts, made from cocoa butter and white sugar, as colorful as a rainbow.

Please note: though the interviewee does have sprinkles on her, this does not mean she is made of ice cream or cake.

Statistics, physics, astronomy, engineering... Mathematics finds applications in various scientific fields. Humans naturally believe themselves to be the sole darlings of these concise and lucid numbers. They devote themselves to expelling the Arcanists that symbolize disorder and chaos in number theory, all to preserve the harmony and unity of mathematics.

However, this remains merely a wish.

The realm of pure reason has never truly existed; perpetually hanging above it is the cloud of Gnosis.

Arcanum and rational systems; religious beliefs and scientific proof; the notion that "all things have numbers" and mathematics. They are all like two sides of a ruler, measuring everything in the world. The followers of Pythagoreanism have made significant contributions throughout history, and the theories of fundamental numbers have left an indelible mark on many.

However, the "Storm" swept unrelentingly throughout the world. Mathematics lost its once solid ground, leaving nothing but debris. Then, a pair of tender hands picked it up.

On<space=0.15em> the Supplementary Calculations of Soul Number 37

<line-indent=9%>I hereby declare to approach this task with impartiality, to eliminate errors and omissions, and to treat each number with fairness, as I uphold the unique guidelines of a Corrector.

1: The smallest irregular prime number

Note: Based on the "Primitive Bernoulli Number" criterion, which is a rational number sequence closely related to number theory.

2: Repeating unit 111 (three consecutive 1s, where 3 is a prime number), 111 = 3 x 37

Note: She avoids the division between "finite" and "infinite."

3: Any number can be expressed as the sum of at most 37 fifth powers of 5

Note: She is special, possessing multiple possibilities.

4: A regular hexagon

Note: This corresponds to her influence and importance in the School of Apeiron.

37 is the third unique prime number in the decimal system and the third isolated prime number without a twin prime. It is the third Cuban prime, the fourth emirp, the fifth lucky prime ...

37: Oh! Another set of contradictions.

Pandora Wilson: Although I know very little about mathematics, I can sense the disappointment from your tone.

37: Free, selfish, untraceable—traits of irrational numbers. Fortunately, it adheres to coherence and maintains clear boundary criteria ...

Pandora Wilson: I hope this won't affect our conversation.

37: Of course not, addressing various math puzzles is precisely my job; I excel at it.

37: Now, please open up your quadratic surface.

Pandora Wilson: ...

Pandora Wilson: Ah—?

37: Fantastic! In Apeiron, we often engage with spheres and regular polyhedra... Opportunities to study special surfaces are quite rare.

37: Clearly, you don't belong to real quadratic surfaces, nor do you align with degenerate quadratic surfaces. But it's alright; I will find a place for you in the geometric classification of three-dimensional Euclidean space.

Pandora Wilson: ...Thank you.