WORLD DOCUMENTATION

I-Types (or Imaginary Types) is an obscure type from the standard 6 (Fire, Earth, Water, Light, Dark, Neutral) which is not normally assigned to anyone. They're merely classifications of most entities in the world. They are unconscious, reckless beings who kill without reason nor with remorse. Their unique ability is to transcend the real plane of standard 3D coordinates in $\mathbb{R}^3$ (not to be confused with 4D or higher dimensions). For example, say that an object is at coordinates $(15,3,7) \in \mathbb{Z}^3$. It can move left, right, up, down, forward or backward; thus it can shift to coordinates in $\mathbb{Z}^3$ like $(-3, 87, -9)$, coordinates in $\mathbb{Q}^3$ like $(15.7, 83, -3.7)$, or even coordinates containing elements of $\mathbb{R} \setminus \mathbb{Q}$ such as $(\sqrt{2}+7, \sin(7)-3, \cot(\sec(3)+8)-31)$, just like standard everyday objects such as that one blade of grass you forgot to consider while doing taxes.

I-Types, however, can move through imaginary axes into complex space $\mathbb{C}^3$. An entity can be placed at coordinates $(6+3i, 9+8i, 7+5i) \in \mathbb{C}^3$, for example. It cannot, however, be placed at superior coordinates in hypercomplex spaces like quaternions $\mathbb{H}^3$ (e.g., $8+7i+8j$), because that is way past the imaginary axis, also known as the "Subimaginary axis." The Science Department claims that any I-Type entity surpassing $\mathbb{C}^3$ into higher division algebras may experience the equivalent of being inside a black hole, unless they possess an unknown state that supports it. They can also easily return to and remain in the real plane $\mathbb{R}^3$ if their distance from it along the imaginary component is less than $1 \, idm$ (this proximity rule also applies to subimaginary axes and beyond, such as J-Types, K-Types, L-Types, etc.).

Eldritch Types are a dangerous, partially conscious subclass of I-Types. While standard I-Types act purely on unconscious, mindless impulse, Eldritch Types possess an unsettling, calculated awareness. They retain the same baseline murderous intent, but their partial consciousness allows them to adapt mid-combat, track targets across phase shifts, and deliberately manipulate spatial dimensions to hunt down prey. They are far more powerful than standard I-Types, possessing the ability to manipulate their own physical structures into grotesque, killing-efficient forms.

Eldritch Goop is a parasitic fluid generated by the path of Eldritch Types that temporarily overtakes victims upon exposure. Beyond physical contamination, the primary symptom of goop affliction is severe coordinate degradation. An infected host will act very off from their usual personality and will have the ability to move through $\mathbb{C}^3$, but never past $\mathbb{H}^3$. (When the takeover is no longer active, the host is teleported to the last real safe spot they've traversed upon.) It does not infect I-Types.