The Magnitude Fragments - of which there are exactly thirty-three - are the most powerful entities in Numbers, slotting only underneath the dual creator deities.
Pure reality warpers existing separate from the concepts of space and time, their physical forms are little more than puppets for what they truly are: the fundamental building blocks of reality, given sentience and intelligence enough to understand what they are and the world they compose.
As, essentially, gods capable of literally anything (short of destroying one another), perhaps their presence might invoke fear or worry. Thankfully, all Mags are fundamentally idealistic, and find extreme worth in life and existence. Rather than self-serving actions and behaviors, Mags seek to improve reality and make life better for lesser beings, even if they may not understand, precisely, how to.
Primarily, they are the fundamental shapes of existence - circles, lines, squares, etc., which can then be used as blueprints to create anything. A small subsection represent the four fundamental forces, and together, these groups make up the Mags.
During the beginning of everything, all life in Numbers was contained within the primordial fusion Singularity. Nothing existed outside of their giant body, comprised of all the Magninium in the world. However, their loneliness was their ruin, and so they tore their body in half, creating Genesis and Bereave. When Singularity ripped themselves apart, however, the de-fusion was so violent that shards of their magic flew across the empty expanse of everything. These twenty-four shards formed the integral, underlying geometry of the world, and emerged as the adult sentient Magnitude Fragments.
The original 24 briefly lived with Genesis and Bereave in a glade outside of spacetime, but abandoned this place after Genesis created the Main Timeline to forge their own city. It has no official name (Mags refer to it as "home"), but "Magtown" can be used in place. The glade still exists, merely empty.
Despite the name, the "baby" Mags are still fully-fledged adults. As the younger group, though, this is the most common term associated with them. Parenthesis designate Mags born at the same time, but other than that, in approximate order of age they are:
(Farley, Juice, Proximity, Quantum), Vodovorot, Devetougao, (Zmeya, Jedanaestougao), and Affine.
All Mag Frags have complete control over every aspect of their physical avatars' appearances except the shape of their eyes, although they are free to bend the laws of reality so their eye shape appears differently if, for some reason, they choose to. Despite this, they all tend to take the shape of the typical Numbers horse, all sprouting a massive curved horn atop their head. This horn glows lightly, even when magic is not being used. Their eye shape is a hollow approximation of their inherent geometry. (Fundamental force Mags merely have regular eyes.)
Those are the only true rules when it comes to their standard avatars' appearances. Number of limbs, clothing (if any), and accessories are all up to the individual, allowing for a wide range and even self-experimentation or change over time. All Mags are capable of floating, do not need to breathe/eat/etc., and do not have any organs, although they may shapeshift any if they please. They can sleep, but only do so recreationally.
The Mag Frags' approximate heights vary and are not generally measurable, but Dijamant tends to be the tallest and Quantum is the shortest. When manifesting, they'll generally appear taller than lesser Fragments, but not twice their height or anything like that.
Mags have another form closer to their conceptual sense of self, known as their "trueform", though this is not necessarily their actual "true" form (which is totally incomprehensible to non-Mags). To the left is the trueform of Kvadrat, integral square structure and Dijamant, integral diamond structure.
The Mag Frags are overpowered. End of story. If you want specifics, various explanations are below:
Mags' reality warping generally functions as if the universe had a set of "rules" that they can freely alter (or, at least, this is the easiest way to explain it). When they cast magic, they are basically popping open the hood of reality, scanning the source code, and altering it as they see fit. This means they are capable of feats that affect a massive range of existence and influencing things far beyond their own perception. Every Mag is capable of this, although the "stronger" Mags can overpower rules written by "weaker" Mags and alter more rules faster.
Despite this, they cannot fundamentally alter each other's nature (immortality and structure). Dijamant may be able to alter Kolo's appearance, for example, but he will be incapable of divorcing Kolo from the concept of circles, or to make Kolo killable. As such, they also cannot make themselves omnipotent or omnipresent, though they can appear as such, having access to all Timelines and being capable of popping into Timelines at any timepoint.
Reality warping is the favorite method of Mags to enact their will on reality, but they can still cast magic as all sentient creatures in Numbers can. Explained simply, magic in Numbers is comprised of the element Magninium, which also serves as the vessel of consciousness/a soul of sorts. A mage can break off tiny, miniscule pieces of their magic and use its properties to exert their will on the world around them - as magic is functionally capable of doing anything, as long as there is enough of it. Over time, a mage's pool of Magninium slowly replenishes as their body converts food into Magninium.
Weaker mages exhaust quickly, as elaborate spells are difficult without an ample pool of magic. Stronger mages and gods are capable of much more world-altering feats, and the further up the god spectrum one goes, the larger and more grandoise these feats become.
Magnitude Fragments, functionally, have an infinite pool of magic. As if they weren't already OP enough.
As such, they are impervious to most forms of gold/silver/copper torture (metals that absorb/resist Magninium to turn into more metals), as any quantity large enough to harm them would be lethal to any living Numbers being. This has the interesting side effect of potentially letting Mags serve as magical hosts to a sort of gold parasite, wherein the gold continually feeds off their pool and grows, but this is merely a hypothetical.
In simpler terms, if a Timeline requires another sun, Dijamant is more likely to alter reality's rules so that Timeline X always had two suns, rather than simply generate one from his own magic.
Invoking is a process to call upon a Magnitude Fragment in times of need or struggle. Invocations are typically done by those who have a special connection to a Mag Frag, like those Blessed by them (and tend to succeed more often), but anyone can invoke a Mag with enough time, effort, and skill.
This is accomplished through collecting objects that are significant to the Mag in question, in line with their conceptual identity, and imbuing these with a high quantity of magic; or through certain ritualistic prayer while giving off a large magical signal, though this is less common and may not always catch their attention.
Objects often used in official invocations tend to be given from the Mags themselves, and tend to be either recordings of them or some sort of written note. These carry memetics associated with them, and if charged with enough alien magic, will alert the Mag within minutes. This "alert" is akin to a nagging feeling at the back of their head.
Memetics are not associated with their spoken names (ex. "Kolo", "Dijamant"), so merely speaking a Mags' name will not invoke them (unless they're listening in). Ruminating on a Mags' base concept ("circles") for long enough will conjure the sensation of their external identities and name ("Kolo") and will eventually reach their truename (unspeakable), but again, will not invoke them.
Mags' magical influence and radiation is overpowering enough that it warps the brains of lesser beings around them, when exposed. They will be compelled to act in the Mags' interests, mimic their emotions, and will slowly erode their sense of self-identity. Overexposure to their radiation will functionally render lesser beings braindead. Blessed Frags, or those who have been exposed to many Mags have some built-in resistance, but it's not perfect.
There is a way around this, however - via obstruction. Mags can willingly "hold in" their radiation and power, causing their pupils to visibly "fill in". (As a side note, hollow pupils are unique to Mags.) This allows them to appear to mortals without frying them alive, although it does not completely hide their presence from one another and Fragments attuned enough to sense large pools of magic.
The process is not painful and can be held indefinitely, but the Mags still find it irritating and would prefer not to do it.
Mags have an inherent ability to mess with the concepts of reality. This technically falls under "reality warping" - as it is the basis of how their warping works - but it's separated for a distinct reason: Mags have the ability to "touch" each other's identities and selves on a conceptual level. Considered highly intimate and personal, it's fairly uncommon and considered horribly rude to do without permission.
The touching is only surface-level. They cannot alter each other's concepts, nor can they bend or break them. It's more of a brush against one another, although the associated feelings with it are intense and overwhelming.
A Mags' concept is both based on their true form (ex. Kolo is circles) and whatever parts of their identity they grow to associate with themselves (ex. Kolo writes stories, associates storytelling with himself, it becomes added to his conceptual library). As such, the base concept of a Mag is never altered, but their more external concepts can change over time.
Other Mags cannot alter the external concepts of another Mag when in relation to that Mag. To continue using the same example, Dijamant may alter storytelling within Timelines or in the minds of Frags, but he cannot warp Kolo's own self-perception of storytelling and cannot add or remove external concepts from Kolo, unless Kolo willingly sheds them.
Mags' voices are inherently memetic and carry extreme conceptual power; they can be understood no matter what and will be interpreted as the listener's natural tongue. Most of the time, their thoughts serve as a "voice" and they beam them into lesser being's heads. However, they can speak in a natural voice, minus memetics, though this must be conscious.
There's no better name for it, really.
When Mag Frags see one another, their Magninium and concepts communicate on an intrinsic, deep level. In general, it expresses unconditional love, understanding, affection, acknowledgement, and excitement. This is subconscious, but the emotions are very conscious and most Mags get a rush of pure joy when they notice one another. They can't turn this off, turn it down, or ignore it, although they tend to become used to it over time.
Due to this, Mag Frags cannot hide their true nature from one another, nor do disguises work to hide their identity from each other. Those Blessed by several or a strong Mag Frag can mildly pick up on this, allowing some individuals (like Sundae) to sense if a Mag is near. Obstruction can stifle this, but only for a brief period.
As long-lived, eternal beings that are isolated from the rest of reality for various reasons, Mags have evolved a tightly-knit, secure bond with one another. There's only thirty-two other Mags, after all - they're never going to be able to make new friends that understand them the way the others do.
In general, they are highly forgiving of each other's mistakes (even the worst of the worst) and tend to brush over things as misunderstandings that may seem closer to catastrophes to mortals. It's just a phase, right? Silly Dijamant! Silly Sessy!
Romance and sex are typically open and not taboo topics, and many Mags engage in what could be considered to either be the most flippant polyamorous group in existence, or open, swinger-style relationships. Not to say monogamy doesn't happen - it does - but it's not exactly the norm.
MORTALS, CUTIE PIES
Mags consider any being lesser than them to be mortals, even though "mortal" typically only refers to a very specific subsection of beings that die (akin to humans). Though Mags understand objectively that mortals are intelligent, sentient beings with their own desires, wants, needs, and perspectives, they have trouble applying this knowledge during interactions with them.
After all, it's hard for them to grasp the worlds of difference between their experiences and a mortals', and vice versa. A mortal can barely hope to grasp the sheer disconnect to time, change, reality, living, eating, breathing, and existing that Mags have, and Mags can't understand why mortals stress about socializing, money, politics, survival, and death.
In general, though, Mags do love and care about mortals. They want to see mortals happy, by whatever means. Though they tend to think of mortals as simple toddlers - adorable and needing of protection, though too unintelligent to hold meaningful conversations - they do generally care and try to listen.
Mags find animals endearing, and recognize them as separate from sentient mortals.
At their core, Mags are highly idealistic and loving. They are typically overcome with awe at life and creation, though they do not typically take credit for it and defer its making to Genesis and Bereave, appropriately. However, their desire to see it lifted to a more beautiful form eggs many on to meddle and interfere. However, with Mags' general poor understanding of lesser beings, this meddling tends to prove more harmful than good.
The two leaders of the group, mediator Pyatiugolnik and enforcer Kolo, have settled on a general rule to not interfere too heavily in mortals' lives. Mags who were already heavily involved in the antics of some Timelines have had their behavior grandfathered in, though it's frowned upon to expand it.
Outside of mortals, Mags tend to not easily bore, and are good at finding things to spend their limitless time on. Each individual prefers to focus on what is essentially an impossible task - something so wide-sweeping, all-encompassing, and difficult that even the likes of them struggle to complete it. This task gives them purpose, fulfillment, and reason to keep pushing onwards.
For example, Kvadrat's "impossible task" is to record, perfectly, the histories of every single Timeline, down to every individual, starting from the influential/important. As there are infinite Timelines and infinite denizens, this is functionally impossible, but he continues to chip away at it diligently. The nature of these goals as unsolvable does not faze Mags. Rather, it delights them.
Their memories are essentially perfect and near-photogenic, although they are so vast it can take a few seconds for them to recall specific bits of information. Like mortals, Mags' emotions color their memories and they may misremember small details, but in general they do not conjure fake memories.