Dimensionality

In mathematics and physics, dimensionality refers to the number of independent directions required to describe a particular space. It is a fundamental concept that helps us understand the structure and properties of objects and phenomena.

Each dimension is a new degree of freedom. The specific directions or coordinates used to describe the position, orientation, or structure of an object. As humans, we commonly encounter three dimensions in our everyday experience: length, width, and height. Each of these is a different axis that we commonly abbreviate as x, y, and z coordinates. For example, we could define "x" as being axis that runs back and fourth, "y" as being the axis that runs left and right, and "z" being the axis that runs up and down. The dimensionality of objects with natural values within these three axes is 3.

Dimensionality is not limited to just these three axes, however. The idea can extend much farther than this in fiction, by adding or removing axes to the standard three we are used to. You could potentially have a 4th axis that runs perpendicular to all the previous axes, creating a new degree of freedom that objects could exist in. A 5th perpendicular to that, and then a 6th, 7th, and onwards.

On this wiki, it is important to mention that dimensions we refer to are strictly those that extend infinitely in their respective directions. Finite dimensions, which have a measurable and finite distance in a specific direction, do not qualify.

## Dimensionality Statistic

**Dimensionality** is a statistic on this wiki that refers to the number of spatial axes or directions that define a character's existence. For instance, as humans on Earth, we navigate and exists within three axes. This makes us 3-D beings.

However, we can expand beyond these three dimensions by introducing additional axes. If we could navigate and exist throughout dimension that runs perpendicular to the three we are used to, we would be 4-D beings. Each new axis adds another degree of dimensionality, so we could have 5-D, 6-D, and 7-B objects, and onwards. Conversely, if we remove some axes, we could have lower-dimensional entities, such as 2-D, 1-D, and 0-D objects.

Here are some examples of what characters would be like at different dimensionalities:

* **0-D:** A character that exists as no more than a singular point in space, lacking all direction and size.
* **1-D:** A character that exists in a world with only one degree of freedom. If you were to add another 0-dimensional point onto a plane and draw a straight line through them, you would have this degree of freedom. These characters would only be capable of moving forwards or backwards along this singular line.
* **2-D:** A character that exists in a world with two degrees of freedom. If you were to take a line, and draw another line that passes through it in the opposite direction, you would now have two degrees of freedom. 2-D characters could traverse both of these directions freely.
* **3-D:** A character that exists in a world that encompasses three degrees of freedom. Most commonly, length, width, and height, as we see in real life, and most of fiction. This character can move freely within their three-dimensional space, interacting with objects and individuals in various directions.
* **4-D:** A character that exists in a world that encompasses four degrees of freedom. If you were to imagine another axis that runs parallel to the previous three axes, this would be the fourth degree of freedom. A direction inaccessible to 3-D entities. In fiction, this is commonly seen with characters who incorporate time into their physiology, such as those who embody space-time on a universal scale.

It is important to index dimensionality, as characters who exists within more of these axes often hold an insurmountable difference in scope and complexity in comparison to those who exist in less. A character who exists throughout 4 axes would be unquantifiably larger than one who exists throughout 3 axes, with the ability to traverse a direction separate from the space the 3-D being could perceive. On this wiki, we refer to this gap in complexity as qualitive superiority.

## Higher-Dimensional Existence

**Higher-Dimensional Existence** refers to the state where characters exist in worlds or realities with more than three dimensions, extending beyond our ordinary three-dimensional universe. In mathematical terms, these characters possess bodies with a minimum of four dimensions. This distinction can be likened to the geometric difference between objects with varying numbers of dimensions, such as a two-dimensional square and a three-dimensional cube.

## Lower-Dimensional Existence

**Lower-Dimensional Existence** refers to the state where characters exist in worlds or realities with fewer dimensions than our three-dimensional universe. In mathematical terms, these characters possess bodies constrained to two or less dimensions.

Characters with lower dimensions experience significant limitations compared to their higher-dimensional counterparts. For example, a two-dimensional character exists within a flat plane, lacking the depth and volume that three-dimensional beings possess. Similarly, a one-dimensional character is confined to a linear path, with no ability to move in any direction except along a single axis.

Due to these constraints, lower-dimensional beings face significant challenges in their interactions with higher-dimensional entities. These characters often lack the ability to fully comprehend or navigate the complexities of higher-dimensional concepts.

## Beyond-Dimensional Existence

**Beyond-Dimensional Existence** represents a state where characters surpass the boundaries of spatial dimensionality, existing in realms that transcend the confines of traditional space and time. These characters possess a conceptual superiority that sets them fundamentally apart from dimensions. Dimensions simply hold no significance or meaning to these characters whatsoever.

Characters who possess this state of existence should be listed as **Transcendent** in the Dimensionality section of their page.

## Non-Dimensional Existence

**Non-Dimensional Existence** refers to the state where characters exist outside of spatial dimensionality. These characters are often abstract entities that lack physical features such as size or measurable dimensions. Instead, they exist in a formless manner. Their existence may be characterized by qualities such as pure consciousness, metaphysical essence, or abstract concepts.

The difference between non-dimensional entities and beyond-dimensional entities, is that beyond-dimensional entities lack dimensionality due to transcending the concept into irrelevance, while non-dimensional entities lack dimensionality due to inherently not existing within its conforms. Beyond-dimensional beings are superior to dimensions, while non-dimensional beings are neither inferior or superior, they are simply a different existence.

Characters who possess this state of existence should be listed as **Inapplicable** in the Dimensionality section of their page.

## Example

In the standard page format, ****Dimensionality**** should sit atop the Attack Potency section. As follows:

****Dimensionality**:** **4-D** (Embodies the entire universe across all space and time)

**Attack Potency:** **Universe Level** (Embodies the entire universe across all space and time)