recursal/Fanatic-Fandom huggingface dataset:
Elastance

Elastance is a physical quantity representing the resistance of a component to storing charge. It has units of [current]-2[mass][length]2[time]-4.

The ideal circuit element possessing only elastance is called the capacitor, typically measured by its capacitance rather than elastance. Elastance is related to the voltage and charge by

# S

V
Q

{\displaystyle S = \frac{V}{Q}}

.

## Elastance Formulae

b
−
a

ϵ
0

A

{\displaystyle \frac{b-a}{\epsilon\_0 A}}

 Tubes

ln
⁡

(

b

/

a

)

2
π

ϵ
0

l

{\displaystyle \frac{\ln\left( b / a \right)}{2 \pi \epsilon\_0 l}}

 Spheres

b
−
a

4
π

ϵ
0

a
b

{\displaystyle \frac{b-a}{4 \pi \epsilon\_0 a b}}
Heart

A **heart** is a closed curve that resembles a conventional heart (♥), which symbolizes love and emotion. The category is solely based off of the appearance of the curve, and not any particular formal definition whatsoever.

A simple example of a heart curve is the cardioid, which loosely resembles a heart (hence its name). There are a fair amount of graphs that can create heart curves such as

(

x

2

y

2

−
1

)

3

−

x

2

y

3

=
0

{\displaystyle (x^{2}+y^{2}-1)^{3}-x^{2}y^{3}=0}

, which is the example shown in the image.

## References

1. ↑ http://mathworld.wolfram.com/HeartCurve.html
Holomanga's Surreal Verse Levels

**Holomanga's Surreal Verse Levels** are a system to describe the levels of -verses using projectively extended surreal numbers. Assigning a verse level to something is done by constructing the surreal number with a smaller verse on the left and a larger verse on the right. Complete emptiness is 0; the simplest thing larger than 0 (a quantum) is 1.

The Box, being larger than everything else, is at ∞.
Four Types of Existence

An object classified as "existing" can be sorted into one of four types based on the way in which it interacts with the world or local -verse structure. Something that is completely unable to interact with anything cannot be observed and cannot observe anything, so it can be treated as not existing at all.

Moving from one type of existence to another (usually a smaller type number to a larger one) is called transcendence.

## Type I Existence

A Type I existence is existence in the physical world; entities of this type are made of particles and have mass, allowing them to interact with the four fundamental forces (or whichever forces apply in the -verse in question). Whether or not they are aware of these forces acting on them can depend on the presence or absence of senses.

## Type II Existence

A Type II existence is existence that can be directly measured from a physical world, but does not interact with the laws of nature the way Type I beings do. Such entities can be called "abstracts" if they rely on extrauniversal concepts, like embodiments. Other times, they can be made of spacetime, photons, or other substances that don't quite classify as Type I.

## Type III Existence

A Type III existence is existence in a virtual world; in a way, this classifies as a subset of Type I, because computers use physical objects to store data. However, from the perspective of those inside a xenoverse or hyperverse, reality functions differently.

## Type IV Existence

A Type IV existence is one that is spiritual and loosely defined. Such entities may be considered variants of Type II, although they are harder to measure because they usually exist well outside the observable universe
Elemental naming scheme

The **elemental naming scheme** is a method for naming platonic solids in any number of dimensions.

The prefixes used are **pyro-** for simplices, **geo-** for hypercubes, **aero-** for cross polytopes, **xylo-** for the 24-cell, **cosmo-** for the small Hn polytopes (dodecahedron and 120-cell), and **hydro-** for the large Hn polytopes (icosahedron and 600-cell). The prefix **stauro-** is used to refer to a hypercube and a cross polytope collectively, and the prefix **rhodo-** is used to refer to the Hn polytopes collectively.

## References

1. ↑ http://hi.gher.space/wiki/Elemental\_naming\_scheme
Hendecagon

A **hendecagon** is a 2-dimensional polygon with eleven edges. The Bowers acronym for an hendecagon is **heng**.

## Structure and Sections

### Hypervolumes

* vertex count =

11

{\displaystyle 11}
* edge length =

11
l

{\displaystyle 11l}
* surface area =

11
4

cot
⁡

(

π
11

)

l

2

{\displaystyle \frac{11}{4}\cot\left( \frac{\pi}{11} \right) {l}^{2}}

### Subfacets

* 11 points (0D)
* 11 line segments (1D)
* 1 hendecagon (2D)

## See Also

t
0

{
11
}

{\displaystyle t\_0 \{11\}}

t
1

{
11
}

{\displaystyle t\_1 \{11\}}

t

0
,
1

{
11
}

{\displaystyle t\_{0,1} \{11\}}

## References

1. ↑ https://en.wikipedia.org/wiki/Hendecagon
2. ↑ http://www.polytope.net/hedrondude/polygons.htm
Dyson sphere

A **Dyson sphere** is a megastructure that comprises a shell surrounding a star that captures the entire energy output of the star.

   A single Dyson sphere therefore has an energy output equivalent to that of an entire Type 2.0 Civilization - one way a civilization can reach Type 2 on the Kardashev scale is to construct a Dyson sphere.

A Dyson sphere with a single purpose (rather than just energy collection) is called a stellar engine. Examples of these include Matrioshka brains, which use the energy output of the star for computation, and Shkadov thrusters, which use the energy for propulsion. Stellar engines are often constructed by Type 3.0 Civilizations and above.
Galaxy filament

A **galaxy filament** is a type of naturally-occuring cosmological structure composed of thousands to millions of gravitationally bound galaxies stretched out into a strand over dozens to hundreds of megaparsecs. Between them are voids, and they become thinner and less well-defined as a universe expands and these voids get larger. Just about any imaginable types of galaxy can be found in a filament, and in large numbers.

Particularly large filaments or groups of filaments can be referred to as Galaxy walls.
Enneagonal dihedral symmetry

**Enneagonal dihedral symmetry** (D9) is the two-dimensional symmetry group of the enneagon. The elements are 9 rotations, corresponding to rotations of 40 degrees around the origin, and 9 reflections, corresponding to the nine lines of symmetry of the enneagon. The abstract group is Dih9.

The symbol for enneagonal dihedral symmetry is o9o.
Hexadecealmverse

A **hexadecealmverse** is a universe that occupies 16-Dimensional Space.

As usual, hexadecealmverses may have one or more temporal dimensions, or theoretically none - but a universe without time is a universe without an origin, which violates causality and is generally not permissible within the confines of low-level -verses like multiverses or megaverses.
Euclidean flune

The **Euclidean flune** is a flat, infinitely large four-dimensional space following the rules of four-dimensional Euclidean geometry. It can be created by taking the cartesian product of four copies of the Euclidean line.

A flune can be used to bisect a peton, and polytera can have realms of symmetry through which they can be reflected. Taking multiple flunic cross sections of a polyteron can give insight into its structure, though embedding this in three dimensions can still be a challenge without taking further realmic cross sections of the flunic cross sections themselves.
Great grand hecatonicosachoron

A **great grand hecatonicosachoron** is a regular star polychoron with 120 great dodecahedral cells. It is one out of ten Schläfli-Hess polytopes and its dual is the great faceted hexacosichoron.

Its Bowers acronym is **gaghi**.

## See Also

**Self-intersecting regular polychora:** fix · gohi · gahi · sishi · **gaghi** · gishi · gashi · gofix · gax · gogishi
**Tesseractihemioctachoron:** tho
Hyperbola

A hyperbola is an open 1-dimensional surface produced by finding the set of points where the absolute distances between a point on the hyperbola and the **focal points** are constant.

The two unconnected sections of the hyperbola are called **branches**. They are mirror images of each other, and their diagonally opposite arms approach the limit to a line. This line is called an **asymptote**. The point where the two asymptotes intersect is called the **midpoint** or **center**.

As a hyperbola is curved, it is often represented embedded in a plane.

A hyperbola can be defined as a graph to an equation such as

f
(
x
# )

1
x

{\displaystyle f(x) = \frac{1}{x}}

 or

f
(
x
# )

x
2

−

y
2

=

a
2

{\displaystyle f(x)= x^2 -
 y^2 = a^2}

.

A 1-dimensional shape bounded by two points on one of the branches of the hyperbola is called a hyperbolic segment.

A 2-dimensional shape bounded by two line segments that connect two points on the hyperbola and the midpoint is called a hyperbolic sector.

A hyperbola is an example of a conic section that can be drawn on a plane that intersects a double cone created from two nappes. This plane intersects both nappes and both the bases of two cones that can be created from the nappes.

## Structure and Sections

### Hypervolumes

* vertex count =

0

{\displaystyle 0}
* edge length =

∞
l

{\displaystyle \infty l}

### Equations

All points on the surface of a rectangular hyperbola (embedded in a Euclidean plane) can be given by the equation

# y
A

/

x

{\displaystyle y = A/x}

, where A is the semi-major axis. All points on a conjugate hyperbola can be given by an equation

x
2

a
2

−

y
2

b
2

=
r

{\displaystyle \frac {x^2}{a^2} - \frac {y^2}{b^2} = r}

 or

y
2

x
2

−

y
2

b
2

=
r

{\displaystyle \frac {y^2}{x^2} - \frac {y^2}{b^2} = r}

. Conjugate hyperbolas can be defined parametrically using a parameter

t

{\displaystyle t}

 by

# x
±
r
cosh
⁡
t

{\displaystyle x = \pm r \cosh t}

# y
±
r
sinh
⁡
t

{\displaystyle y = \pm r \sinh t}
Ellipse

An **ellipse** is a 1-dimensional surface produced by finding the set of points around a point pair of two **focal points**, where the sum of the two distances from the points stay constant.

The longest distance from the edge to the centre is the **semi-major axis**

a

{\displaystyle a}

 and the shortest distance is the **semi-minor axis**

b

{\displaystyle b}

.

As an ellipse is curved, it is often represented embedded in a plane.

A circle can be considered an ellipse where the focal points are one and the same point.

An ellipse is often mistaken for an **oval**, a closed curve that only loosely resembles an egg. The main difference between the two is that an ellipse requires the mathematical definition, while an oval doesn't. Therefore, all ellipses are ovals, but not all ovals are ellipses.

An ellipse is an example of a conic section, and is created when the dividing plane cuts the cone at an angle, while the plane doesn't intersect with the base.

## Edge Length

The perimeter of an ellipse can not be written in a closed form in terms of elementary functions. However, it can be written simply using elliptic integrals, the definition of which was partially motivated by the expression for the perimeter of an ellipse

4
a
E

(

1
−

a
2

b
2

)

{\displaystyle 4a E\left(\sqrt{1-\frac{a^2}{b^2}}\right)}

Where

E

{\displaystyle E}

 is the complete elliptic integral of the second kind.

This can be expressed as an infinite series in various ways. One such infinite series is

2
a
π
(
1
−

∑

# i
1

∞

(

(
2
i
)

!
2

(

2
i

⋅
i
!

)
4

⋅

(

(

a
2

−

b
2

a

)

2
i

2
i
−
1

)

)
)

{\displaystyle 2a\pi(1-\sum\_{i=1}^{\infty}(\frac{(2i)!^2}{(2^i \cdot i!)^4} \cdot {(\frac {(\frac {\sqrt {a^2 - b^2}}{a})^{2i}}{2i - 1})}))}

## Structure and Sections

### Hypervolumes

* vertex count =

0

{\displaystyle 0}
* edge length =

4
a
E

(

1
−

a
2

b
2

)

{\displaystyle 4a E\left(\sqrt{1-\frac{a^2}{b^2}}\right)}

## References

1. ↑ http://mathworld.wolfram.com/Oval.html
2. ↑ Various; Wikipedia - Elliptic integral § Complete elliptic integral of the second kind
3. ↑ https://www.mathsisfun.com/geometry/ellipse-perimeter.html
Infinite Möbius band

The **infinite Möbius band** is an infinitely large two-dimensional shape. It is constructed in a similar way to the infinite tube; an infinitely long strip of the plane is took and rolled up. However, when the infinite Möbius band is rolled up, a single twist is added, as when contructing an ordinary Möbius band.

Another way to construct it is to take an ordinary Möbius band, and keep making it wider and wider. In the limit, when the Möbius band is infinitely wide. This gives some insight into what it is like on the surface: moving in one direction will loop you around to the other side, and then return you to your original point, as in an ordinary Möbius band, and moving in another direction is like moving in a plane.

It is topologically equivalent to the open Möbius band, because both are similar to an ordinary Möbius band except without any points on the edges.

## References

1. ↑ The Eight Geometries of the Geometrisation Conjecture
Extended long line

The **extended long line** is a long one-dimensional shape made from taking the long line, and then adding one additional point on each end, typically called {∞} and {-∞}. These two points serve as the boundary for the extended long line, making it a compact manifold topologically equivalent to a line segment.
Godverse

**Godverses** are realms beyond the Omniverse that are home to deities/gods. There are three Godverses within The Barrel; one belonging to Creator, one belonging to Destroyer, and one belonging to Hyperman.

## **Information**

Very few concepts in general can truly be outside of the Omniverse; as the name itself implies the complete totality of all verses, as well as countless realms, dimensions, spaces, voids, etc. However, for Omnipotent beings like Creator, Destroyer, and Hyperman, this is just another concept below their level.

Being omnipotent^1 allows these entities to be beyond the very concept of existence. This allows Godverses to be outside the limits (what few there are) of the Omniverse. Nonetheless, Godverses can still be classified as "existing", but the inner working of such a magnificent space are beyond any known level of comprehension within the Omniverse. If anything were to exist within the Godverses, it would be completely alien to every form of existence known and experienced within the Omniverse. Currently, only the nature of Hyperman's Godverse is known by some inhabitants of the Omniverse. However even this knowledge is simply vague, abstract details as its true nature is almost certainly beyond their comprehension.

All three Godverses alongside the Omniverse exist within an even larger -verse known as The Barrel. (Our local Monocosm.) Between the Godverses and Omniverses is a void named The Outside, which encompasses the absence of existence. All of this, however, is of course still kept within a much larger structure known as The Box.

## **Cosmological Value**

The Godverse (aka the Godverses) are commonly identified as a 'verse', yet whilst being a verse, it also conflicts with it being a spiritual realm, which this spiritual realm is commonly shared between the Creator, the Destroyer, and the Hyperman, and with this spiritual realm being omnipotent^1, allowing it and the deities to be beyond the concept of existence and also allows to be it outside the limits of the Omniverse. The identification and presumed 'existence' of the Godverse is only contradictory considering the Godverse are beyond the concept of existence and beyond outside the limits of the Omniverse.
Femtofabricator

A **femtofabricator** is an application of advanced femtotechnology that allows for the creation of arbitrary structures accurate to the femtometer scale. This means that a femtofabricator operates by moving and placing individual nuclei by very careful application of the strong nuclear force.

Femtofabricators can create anything out of any desired atoms (exotic or otherwise) regardless of the available feedstock, as well as larger-scale strong nuclear structures like degenerate matter and AB-Matter.
Electron god

## Powers and Abilities

### Powers:

Manipulation of large amounts of matter, information and energy within a single universe

The **electron god** is a universe-tier cosmic entity resulting from an experiment in reversing the powers of entities by a much higher entity. The initial plan was to use a complicated ontological machine, built mostly outside of the archverse, to naturally ascend a modosophont to godhood, and incarnate a god in the body of a mortal. However, when activated, the machine instead ascended a single electron to godhood and incarnated the god as a single particle.

In the resulting restructuring of the universe by the electron god, the god particle was immediately destroyed; an infinite number of backups remained in the ontological machinery, and inspecting revealed troubling information about the nature of the monocosm it resided in.

Presently, the electron god is working to cool down its universe through various means; both overt dissipation of energy and more subtle cooling based around information theory and metaphysics. Direct communication with the electron god is impossible because it is either unable or unwilling to recieve transmissions from outside its universe.
Infinite-order triangular tiling

The **infinite-order triangular tiling** is a regular paracompact hyperbolic tiling formed from triangles joining infinitely many to a vertex.

All of the vertices of an infinite-order triangular tiling are ideal points. In the Poincaré disk model, a conformal projection of the hyperbolic plane to the unit disk, the ideal points are points located on the boundary circle of the disk.

## See also

{
2
,
∞
}

{\displaystyle \{2,\infty\}}

{
3
,
∞
}

{\displaystyle \{3,\infty\}}

{
4
,
∞
}

{\displaystyle \{4,\infty\}}

{
5
,
∞
}

{\displaystyle \{5,\infty\}}

{
6
,
∞
}

{\displaystyle \{6,\infty\}}

{
7
,
∞
}

{\displaystyle \{7,\infty\}}

{
8
,
∞
}

{\displaystyle \{8,\infty\}}

{
∞
,
∞
}

{\displaystyle \{\infty,\infty\}}

{

π
i

λ

,
∞
}

{\displaystyle \{\frac{\pi i}{\lambda},\infty\}}

{
3
,
2
}

{\displaystyle \{3,2\}}

{
3
,
3
}

{\displaystyle \{3, 3\}}

{
3
,
4
}

{\displaystyle \{3, 4\}}

{
3
,
5
}

{\displaystyle \{3, 5\}}

{
3
,
6
}

{\displaystyle \{3,6\}}

{
3
,
7
}

{\displaystyle \{3,7\}}

{
3
,
8
}

{\displaystyle \{3,8\}}

{
3
,
∞
}

{\displaystyle \{3,\infty\}}

{
3
,

π
i

λ

}

{\displaystyle \{3,\frac{\pi i}{\lambda}\}}

Template:Variant Nav infty 3
Template:Variant Nav loop a33
Eternally Luminous

The **Eternally Luminous** are a collection of sentient, quasi-mechanical neutron stars that patrol the cosmoses of the Omniverse in search of what they deem to be "inefficiencies". Having integrated themselves into the fabric of the Interdimensional Void, their bodies are more extensions of themselves than actual independent entities, though they continually refine these bodies with particle screens, Planck-scale barriers, and other exotic offense and defense systems.

The Eternally Luminous believe that the Omniverse is largely wasted space, and if it was merged into a single unit with everything operating at the sub-quantum level, there would be no need for inefficient lifeforms, planets, cosmic entities, and such.

## History

The origins of the Eternally Luminous are unknown; current understanding indicates that the first of their kind were Boltzmann Brains that began self-replicating and rewriting reality as their control increased.

## Powers and Abilities

Each of the Eternally Luminous is a self-contained packet of information embedded into the multiversal foam that is capable of "surfacing" within universes to make direct alterations, or staying outside and hijacking universes remotely. They work at the simplest of levels, tampering with logic and the quantum realm rather than moving particles and such, though if need be they can use their "bodies" as points from which to adjust fundamental forces and constants.

## Weaknesses

Once an Eternally Luminous' body is destroyed, it is unable to use it as a point of adjustment, and it cannot construct a new body very easily due to the unique nature of the modified neutron star required. This leaves it open to attack from another multiverse-tier entity capable of writing it out of existence.
Hexagram

A **hexagram** is a six-pointed polygram. However, hexagrams are not regular polygons and are instead an example of a regular compound polygon. It is a compound polygon of two equilateral triangles.

## Structure and Sections

### Hypervolumes

* vertex count =

6

{\displaystyle 6}

* edge length =

6
l

{\displaystyle 6l}

* surface area =

3

3

{\displaystyle \frac{\sqrt{3}}{3}}

### Subfaces

* 6 points (0D)
* 6 line segments (1D)
* 1 hexagram (2D)
Order-6 heptagonal tiling

An **order-6 heptagonal tiling** is a regular two-dimensional hyperbolic tiling. Six heptagons meet at each vertex.

## See Also

Template:Variant Nav 7 X

{
2
,
6
}

{\displaystyle \{2,6\}}

{
3
,
6
}

{\displaystyle \{3,6\}}

{
4
,
6
}

{\displaystyle \{4,6\}}

{
5
,
6
}

{\displaystyle \{5,6\}}

{
6
,
6
}

{\displaystyle \{6,6\}}

{
7
,
6
}

{\displaystyle \{7,6\}}

{
8
,
6
}

{\displaystyle \{8,6\}}

{
∞
,
6
}

{\displaystyle \{\infty,6\}}

{

π
i

λ

,
6
}

{\displaystyle \{\frac{\pi i}{\lambda},6\}}
Hexacross

The **hexacross** (also called **hexacontitetrapeton**) is the 6-dimensional cross polytope. It is the dual of the hexeract. Its Bowers acronym is **gee**. Under the elemental naming scheme, it is called an **aeropeton**.

## Structure and Sections

The hexacross, as the 6-D cross polytope, can be considered a bipyramid of a pentacross.
Forager growth regime

The **forager growth regime** is the first growth regime that many civilizations go through. In this regime, members of the civilisation rely on resources they can acquire naturally from the unmodified environment, as they did before they developed a civilization.

Growth in the forager regime is very slow, and tied to population; the size of the economy is constrained to match the unmodified carrying capacity of the land, which is often very low compared to what can be achieved with modification. Doubling times of hundred of thousands of years are not atypical, and this growth regime usually lasts millions of years.
Wìnx, bjí ćajenúl rav

**"Wìnx, bjí ćajenúl rav"** is a song by Zara Dawson. It was release as a single on 14 December 2011.

## Background

When Nickelodeon acquired the *Winx Club* franchise, they co-produced four television specials to summarise the plots of Seasons 1 and 2. For these, composer McPaul Smith remade the theme song for Season 4 of the series, "Winx Are Back." The English version was sung by Nickelodeon star Cymphonique Miller. When the specials were being dubbed into Sallish and Churtecan Spanish by Make It Loud Studio, Valencian-Sallilandic rapper and singer Zara Dawson performed both dubs of the theme song for son Jaume Dawson. In an interview, Dawson revealed "I thought it'd be embarrassing, that I wouldn't look like a proper rapper, but I'm also a mom. Most of my lyrics are too mature for my son but he's 9 so he's in the target audience for the Winx Club, so why not do some songs FOR the kids?"

## Music video

The music video for "Wìnx, bjí ćajenúl rav" premiered on Nickelodeon Salliland on 15 December 2011, before the premiere of the *Winx Club* special *The Shadow Phoenix.* It features Dawson dancing with backup dancers, intertwined with scenes of the *Winx Club* specials. In the final scene of the video, Dawson poses with Lexi Źeljkić, Grozdana Stojanov, Aaliyah Mućet, Rachel Dulvej, Alina Kelnov, Mati Vecent, Ígor Svetlanapjok, Santiago Alinapjok and Dragoje Moćéniv, who are all dressed in cosplay as the characters that they voice the Sallish dub of *Winx Club.*
Octagonal dihedron

An **octagonal dihedron** is a 3-D polyhedron with two octagonal faces which share their edges and vertices. In normal Euclidean space, it is degenerate, but can exist as a tiling of the sphere where each face makes up a hemisphere.

## See Also

Template:Variant Nav 8 X

t
0

{
8
,
2
}

{\displaystyle t\_0 \{8,2\}}

t
1

{
8
,
2
}

{\displaystyle t\_1 \{8,2\}}

t
2

{
8
,
2
}

{\displaystyle t\_2 \{8,2\}}

t

0
,
1

{
8
,
2
}

{\displaystyle t\_{0,1} \{8,2\}}

t

1
,
2

{
8
,
2
}

{\displaystyle t\_{1,2} \{8,2\}}

t

0
,
2

{
8
,
2
}

{\displaystyle t\_{0,2} \{8,2\}}

t

0
,
1
,
2

{
8
,
2
}

{\displaystyle t\_{0,1,2} \{8,2\}}

{
0
,
2
}

{\displaystyle \{0,2\}}

{
1
,
2
}

{\displaystyle \{1,2\}}

{
2
,
2
}

{\displaystyle \{2,2\}}

{
3
,
2
}

{\displaystyle \{3,2\}}

{
4
,
2
}

{\displaystyle \{4,2\}}

{
5
,
2
}

{\displaystyle \{5,2\}}

{
6
,
2
}

{\displaystyle \{6,2\}}

{
7
,
2
}

{\displaystyle \{7,2\}}

{
8
,
2
}

{\displaystyle \{8,2\}}

{
∞
,
2
}

{\displaystyle \{\infty,2\}}

{

π
i

λ

,
2
}

{\displaystyle \{\frac{\pi i}{\lambda},2\}}
Heptagram

The **heptagram** is a two-dimensional star polygon with seven sides, and every second vertex joined. The Bowers acronym for a heptagram is **hag**.

## Structure and Sections

#### Subfacets

* 7 points (0D)
* 7 line segments (1D)
* 1 heptagram (2D)

## See Also

t

0

{

7
2

}

{\displaystyle t\_{0}\{{\frac {7}{2}}\}}

t

1

{

7
2

}

{\displaystyle t\_{1}\{{\frac {7}{2}}\}}

t

0
,
1

{

7
2

}

{\displaystyle t\_{0,1} \{ \frac{7}{2} \}}

t

0

{

7
5

}

{\displaystyle t\_{0}\{{\frac {7}{5}}\}}

t

1

{

7
5

}

{\displaystyle t\_{1}\{{\frac {7}{5}}\}}

t

0
,
1

{

7
5

}

{\displaystyle t\_{0,1} \{ \frac{7}{5} \}}
Hypercosmology

**Hypercosmology** is a specific branch of cosmology that considers **hypercosmological objects**. An object is usually considered hypercosmological if it is independent of some logically or mathematically consistent hierarchy. Typically objects that hold some property regardless of other objects' definitions that contradict its own, including all Box-equivalent structures, are considered hypercosmological.

Examples of objects with wiki pages that can be considered hypercosmological:

* The Box
* some altarcae/imaginata
* The Barrelplex
* Omniumverse
* Imaginarium
* Great Barrier
* Realium
* Metempiric space
* The Antibox
* Schemafield
* Abfield
* Binaryfield
* Trinaryfield
* Itfield
* Selfverses
* Maiorverse
* Prism Gate
* Meta-Boxes Objects
* Unthinkable Reality
* Sergepoint
* Cheesebox
* Nothing (arguably)

Examples of entities with wiki pages at a hypercosmological level:

* The Aspect Lords
* Ignotum
* The Rulebreaker
* The Infinite Madness
* Eternal Defiance
* The True God
Heptagon

A **heptagon** is a 2-dimensional polygon with seven edges. The Bowers acronym for a heptagon is **heg**.

## Symbols

The main Dynkin symbol of a regular heptagon is x7o.

## Structure and Sections

The regular heptagon is the simplest regular polygon that can't be constructed with a compass and straightedge. Each angle is 128+4/7 degrees.

### Hypervolumes

* vertex count =

7

{\displaystyle 7}
* edge length =

7
l

{\displaystyle 7l}
* surface area =

7
4

cot
⁡

(

π
7

)

l

2

{\displaystyle {\frac {7}{4}}\cot \left({\frac {\pi }{7}}\right){l}^{2}}

### Subfacets

* 7 points (0D)
* 7 line segments (1D)
* 1 heptagon (2D)

### Radii

* Vertex radius:

1

2
sin
⁡
(

π
7

)

l

{\displaystyle {\frac {1}{2\sin({\frac {\pi }{7}})}}l}
* Edge radius:

1

2
tan
⁡
(

π
7

)

l

{\displaystyle {\frac {1}{2\tan({\frac {\pi }{7}})}}l}

### Angles

* Vertex angle:

900
7

{\displaystyle {\frac {900}{7}}}

°

### Related shapes

* Vertex figure: Line segment, length

2
cos
⁡
(

π
7

)

{\displaystyle 2\cos({\frac {\pi }{7}})}
* Dual: Self-dual

## See Also

t

0

{
7
}

{\displaystyle t\_{0}\{7\}}

t

1

{
7
}

{\displaystyle t\_{1}\{7\}}

t

0
,
1

{
7
}

{\displaystyle t\_{0,1} \{ 7 \}}
Local Group

Universe → Pisces–Cetus Supercluster Complex → Laniakea Supercluster → Virgo Supercluster → **Local Group**

The **Local Group** is the galaxy group containing the Milky Way Galaxy, the Andromeda Galaxy and the Triangulum Galaxy, as well as their accompanying systems of dwarf galaxies.

## Structure

The visible mass of the Local Group is mostly concentrated into two subgroups, the Galactic subgroup and the Andromeda subgroup. There are also some isolated dwarf galaxies that are not part of any subgroup.
Euler characteristic

The **Euler characteristic** is a property of surfaces that remains the same under a topological homeomorphism.

It can be found by drawing a graph over the surface of the topological surface, and then counting the faces, vertices and edges. Then,

# χ
V
−
E
F

{\displaystyle \chi=V-E+F }

Originally, it was calculated for the polyhedra, which all have an Euler characteric of 2 because they exist as tilings of the sphere, which also has an Euler characteric of 2.

## Changes Under Operations

The Euler characteristic of the disconnected sum of two surfaces is the sum of their Euler characteristics.

χ

(

A
B

)

=
χ

(
A
)

χ

(
B
)

{\displaystyle \chi \left( A + B \right) = \chi \left(A\right) + \chi \left(B\right) }

The Euler characteristic of the connected sum of two surfaces in the sum of their Euler characteristics, minus the Euler characteristic of the hypersphere (2, in the case of two-dimensional surfaces).

χ

(

A
#
B

)

=
χ

(
A
)

χ

(
B
)

−
χ

(

S
n

)

{\displaystyle \chi \left( A \# B \right) = \chi \left(A\right) + \chi \left(B\right) - \chi \left( S^n \right) }

The Euler characteristic of the cartesian product of two surfaces is the product of their Euler characteristics.

χ

(

A
×
B

)

=
χ

(
A
)

χ

(
B
)

{\displaystyle \chi \left( A \times B \right) = \chi \left(A\right) \chi \left(B\right) }
Hexagonal prism

A **hexagonal prism** is a prism with a hexagon as the base. This also makes it the cartesian product of a hexagon and a line segment.

It is also the truncated hexagonal hosohedron.

Its Bowers' acronym is **hip**.

## Structure and Sections

One hexagon and two squares meet at each vertex.

## See Also

t
0

{
6
,
2
}

{\displaystyle t\_0 \{6,2\}}

t
1

{
6
,
2
}

{\displaystyle t\_1 \{6,2\}}

t
2

{
6
,
2
}

{\displaystyle t\_2 \{6,2\}}

t

0
,
1

{
6
,
2
}

{\displaystyle t\_{0,1} \{6,2\}}

t

1
,
2

{
6
,
2
}

{\displaystyle t\_{1,2} \{6,2\}}

t

0
,
2

{
6
,
2
}

{\displaystyle t\_{0,2} \{6,2\}}

t

0
,
1
,
2

{
6
,
2
}

{\displaystyle t\_{0,1,2} \{6,2\}}

t
0

{
3
,
2
}

{\displaystyle t\_0 \{3,2\}}

t
1

{
3
,
2
}

{\displaystyle t\_1 \{3,2\}}

t
2

{
3
,
2
}

{\displaystyle t\_2 \{3,2\}}

t

0
,
1

{
3
,
2
}

{\displaystyle t\_{0,1} \{3,2\}}

t

1
,
2

{
3
,
2
}

{\displaystyle t\_{1,2} \{3,2\}}

t

0
,
2

{
3
,
2
}

{\displaystyle t\_{0,2} \{3,2\}}

t

0
,
1
,
2

{
3
,
2
}

{\displaystyle t\_{0,1,2} \{3,2\}}

t

0
,
1

{
2
,
2
}

{\displaystyle {t}\_{0,1} \{2,2\}}

t

0
,
1

{
2
,
3
}

{\displaystyle {t}\_{0,1} \{2,3\}}

t

0
,
1

{
2
,
4
}

{\displaystyle {t}\_{0,1} \{2,4\}}

t

0
,
1

{
2
,
5
}

{\displaystyle {t}\_{0,1} \{2,5\}}

t

0
,
1

{
2
,
6
}

{\displaystyle {t}\_{0,1} \{2,6\}}

t

0
,
1

{
2
,
7
}

{\displaystyle {t}\_{0,1} \{2,7\}}

t

0
,
1

{
2
,
8
}

{\displaystyle {t}\_{0,1} \{2,8\}}

t

0
,
1

{
2
,
∞
}

{\displaystyle {t}\_{0,1} \{2,\infty\}}

t

0
,
1

{
2
,

π
i

λ

}

{\displaystyle {t}\_{0,1} \{2,\frac{\pi i}{\lambda}\}}

Template:Variant Nav t01 X 6
Hyperrealm

A **hyperrealm** is a 4 or more dimensional space, in which each point requires a corresponding number of numbers to describe the position of.

A verse with 4 or more dimensions is called a Hyperrealmverse.

The following hyperrealms have pages on this wiki:

* 4-Dimensional space

* 5-Dimensional space

* 6-Dimensional space

* 7-Dimensional space

* 8-Dimensional space

* 9-Dimensional space

* 10-Dimensional space

* 11-Dimensional space

* 12-Dimensional space

* 13-Dimensional space

* 14-Dimensional space

* 15-Dimensional space

* 16-Dimensional space

* Infinite-Dimensional space
Great enneagram

A **great enneagram** is a two-dimensional star polygon with nine vertices, and every fourth vertex joined. Its Bowers acronym is **geng**.

## Structure and Sections

### Hypervolumes

* vertex count =

9

{\displaystyle 9}
* edge length =

9
l

{\displaystyle 9 l}
* surface area =

9
4

tan
⁡

(

π
18

)

l
2

{\displaystyle \frac{9}{4} \tan \left( \frac{\pi}{18} \right) l^2}

### Subfacets

* 9 points (0D)
* 9 line segments (1D)
* 1 great enneagram (2D)

## See Also

t
0

{

9
4

}

{\displaystyle t\_0 \{\frac{9}{4} \}}

t
1

{

9
4

}

{\displaystyle t\_1 \{\frac{9}{4} \}}

t

0
,
1

{

9
4

}

{\displaystyle t\_{0,1} \{\frac{9}{4} \}}
Lifeverse

A **lifeverse** is a verse in which the laws of physics are based upon cellular automata. Space is divided into a set of cells, and each tick a cell changes its state depending on the states of itself and all its neighboring cells.

The simplest type of lifeverse is one dimensional (a lineverse), with each cell having two neighbours to the left and right and existing in one of two states (black and white). These are called **elementary** **lifeverses**. There are 256 possible laws of physics for elementary lifeverses, but an infinite number overall due to varying initial states. Positions in elementary lifeverses can be given by (x, t), where x is an integer representing a position in a spatial dimension and t is a natural number representing a position in a temporal dimension.
Enneagon

An **enneagon** is a 2-dimensional polygon with nine edges. The Bowers acronym for an enneagon is **en**. Another name for an enneagon is a **nonagon**.

## Structure and Sections

### Hypervolumes

* vertex count =

9

{\displaystyle 9}
* edge length =

9
l

{\displaystyle 9 l}
* surface area =

9
4

cot
⁡

(

π
9

)

l

2

{\displaystyle \frac{9}{4}\cot\left( \frac{\pi}{9} \right) {l}^{2}}

### Subfacets

* 9 points (0D)
* 9 line segments (1D)
* 1 enneagon (2D)

## See Also

t
0

{
9
}

{\displaystyle t\_0 \{9\}}

t
1

{
9
}

{\displaystyle t\_1 \{9\}}

t

0
,
1

{
9
}

{\displaystyle t\_{0,1} \{9\}}
Hecatonicosachoron

A **hecatonicosachoron** or **120-cell** is a regular polychoron having 120 dodecahedral cells. It has a schläfli symbol of

{
5
,
3
,
3
}

{\displaystyle \{5,3,3\}}

, meaning that 3 dodecahedra join at each edge and four at each vertex. It is the dual of the hexacosichoron.

Under the elemental naming scheme, it is called a **cosmochoron**.

## Structure

The hecatonicosachoron has 120 dodecahedral cells. It is possible to split these cells up into twelve decagonal rings swirling around each other.

It can also be viewed in layers, with the pattern of cells per layer going 1, then 21, then 20, then 12 more, then 30, and then back again.

### Vertex Coordinates

The vertices of a Hecatonicosachoron, of edge length

2

ϕ

−
1

{\displaystyle 2 \phi ^ {-1}}

, can be represented by the 4D Cartesian coordinates:

* the vertices of a tesseract, (±1, ±1, ±1, ±1),
* the vertices of a hexacosichoron, being the rotations of (±2, 0, 0, 0), and
* the even permutations of (±ϕ, ±1, ±ϕ-1, 0),

where

# ϕ

1

5

2

{\displaystyle \phi = {{1 + \sqrt{5}} \over 2}}

.

## References

1. ↑ Coxeter, H.S.M. *Regular Polytopes* Dover Publications, 1973, p. 157

## See Also

**Self-intersecting regular polychora:** fix · gohi · gahi · sishi · gaghi · gishi · gashi · gofix · gax · gogishi
**Tesseractihemioctachoron:** tho

{
2
,
3
,
3
}

{\displaystyle \{2,3,3\}}

{
3
,
3
,
3
}

{\displaystyle \{3,3,3\}}

{
4
,
3
,
3
}

{\displaystyle \{4, 3, 3\}}

{
5
,
3
,
3
}

{\displaystyle \{5,3,3\}}

{
6
,
3
,
3
}

{\displaystyle \{6,3,3\}}

{
5
,
3
,
2
}

{\displaystyle \{5,3,2\}}

{
5
,
3
,
3
}

{\displaystyle \{5,3,3\}}

{
5
,
3
,
4
}

{\displaystyle \{5,3,4\}}

{
5
,
3
,
5
}

{\displaystyle \{5,3,5\}}

{
5
,
3
,
6
}

{\displaystyle \{5,3,6\}}

t
0

{
5
,
3
,
3
}

{\displaystyle t\_0 \{5,3,3\}}

t
1

{
5
,
3
,
3
}

{\displaystyle t\_1 \{5,3,3\}}

t
2

{
5
,
3
,
3
}

{\displaystyle t\_2 \{5,3,3\}}

t
3

{
5
,
3
,
3
}

{\displaystyle t\_3 \{5,3,3\}}

t

0
,
1

{
5
,
3
,
3
}

{\displaystyle t\_{0,1} \{5,3,3\}}

t

1
,
2

{
5
,
3
,
3
}

{\displaystyle t\_{1,2} \{5,3,3\}}

t

2
,
3

{
5
,
3
,
3
}

{\displaystyle t\_{2,3} \{5,3,3\}}

t

0
,
2

{
5
,
3
,
3
}

{\displaystyle t\_{0,2} \{5,3,3\}}

t

1
,
3

{
5
,
3
,
3
}

{\displaystyle t\_{1,3} \{5,3,3\}}

t

0
,
1
,
2

{
5
,
3
,
3
}

{\displaystyle t\_{0,1,2} \{5,3,3\}}

t

1
,
2
,
3

{
5
,
3
,
3
}

{\displaystyle t\_{1,2,3} \{5,3,3\}}

t

0
,
3

{
5
,
3
,
3
}

{\displaystyle t\_{0,3} \{5,3,3\}}

t

0
,
2
,
3

{
5
,
3
,
3
}

{\displaystyle t\_{0,2,3} \{5,3,3\}}

t

0
,
1
,
3

{
5
,
3
,
3
}

{\displaystyle t\_{0,1,3} \{5,3,3\}}

t

0
,
1
,
2
,
3

{
5
,
3
,
3
}

{\displaystyle t\_{0,1,2,3} \{5,3,3\}}
Enneract

An enneract is the 9-dimensional hypercube. It can be considered to be a prism with an octeract as the base.

Under the elemental naming scheme, it is called a **geoyotton**.

## Structure and Sections

### Subfacets

* 512 points (0D)
* 2304 line segments (1D)
* 4608 squares (2D)
* 5376 cubes (3D)
* 4032 tesseracts (4D)
* 2016 penteracts (5D)
* 672 hexeracts (6D)
* 144 hepteracts (7D)
* 18 octeracts (8D)
* 1 enneract (9D)

### Hypervolumes

* vertex count =

512

{\displaystyle 512}
* edge length =

2304
l

{\displaystyle 2304 l}
* surface area =

4608

l
2

{\displaystyle 4608 l^2}
* surcell volume =

5376

l
3

{\displaystyle 5376 l^3}
* surteron bulk =

4032

l
4

{\displaystyle 4032 l^4}
* surpeton pentavolume =

2016

l
5

{\displaystyle 2016 l^5}
* surecton hexavolume =

672

l
6

{\displaystyle 672 l^6}
* surzetton heptavolume =

144

l
7

{\displaystyle 144 l^7}
* suryotton octavolume =

18

l
8

{\displaystyle 18 l^8}
* surxennon enneavolume =

l
9

{\displaystyle l^9}
Hexateron

A **hexateron** is a 5-dimensional simplex. It is also called the **pyroteron** under the elemental naming scheme. Its Bowers acronym is "**hix**".

## Structure and Sections

The hexateron can be considered the pyramid of the pentachoron.

## See also

**Pentacross facetings:** hehad · phap · nophap
**Demipenteract regiment:** hin · dah · han · radah · rinah · hit

Template:Variant Nav 3 3 3 3
Meta-Boxes

Meta-Boxes Objects are theoretical/abstract "objects" that are not contained by The Box. At first, it seems to be nonsensical, the term "Meta-Box" makes no sense, since anything outside of The Box is still inside it, however, what people mean when they say "Meta-Box" is an object completely and absolutely beyond The Box in a way that doesn't make sense in English, in which an "object" has the capacity to no possible, impossible, and imaginable description, categorization, and concepts of its nature that exists in The Box.

## Description

Even though The Box contains all objects, possible and impossible and their variations, if an "object" does not have a description in any possible, impossible, and imaginable forms, and that no laws of physics and theories can be applied to it, The Box cannot contain it since it is beyond its cosmology. These are heavy debated if they exist or not.

* Absolute Nothing (If it "exists" than such emptiness cannot be described nor categorized)
* Meta-Xaspunum and other Ultra-Matter (Since Xaspunum is able to change the laws of physics in a certain object or field, then it is not completely out of bounds to say it could be used with The Box)
* True God Matter (If The True God is made of "things" than it is beyond The Box)
* The Unthinkable Reality (It is the concept of something beyond The Box as a whole)
Honeycomb

A **honeycomb** is a generalization of infinite tilings to higher dimensions, an infinite packing of polytopes that fills a space without leaving any gaps. A honeycomb that is created from uniform polytopes is called a **uniform honeycomb**, and a uniform honeycomb created from regular polytopes is called a **regular honeycomb**. **Quasiregular honeycombs** are honeycombs created from two kinds of polytopes.

Examples of spaces that honeycombs can tile are Euclidean spaces and hyperbolic spaces.

A honeycomb that tiles an infinte 2-dimensional space is called a **tiling**. An example would be the hexagonal tiling, a tiling of the Euclidean plane and an infinite version of the shape that real honeycombs made by bees take on.

A honeycomb that tiles an infinite 3-dimensional space is typically called just a **honeycomb**. An example would be the cubic honeycomb, which is the only regular honeycomb that tiles the Euclidean realm.

A honeycomb that tiles an infinite 4-dimensional space is called a **tetracomb**, a five-dimensional honeycomb is called a **pentacomb**, and so on.
Loch Ness monster

A **Loch Ness monster** surface is a two-dimensional infinite-genus surface with one end. It is called so because it can be constructed from a plane by adding an infinite amount of handles, which can be thought of as "humps" of the Loch Ness Monster.

## See Also

* Jacob's ladder - the orientable infinite-genus two-dimensional manifold with two ends
List of Uniform Polychora/A

## Category A: Duoprisms

There are an infinite number of duoprisms; one for each unordered pair of polygons. Some of these are:

* {3,3} - Trigonal duoprism (**triddip**)
* {3,4} - Trigonal-square duoprism (**tisdip**)
* {3,5} - Trigonal-pentagonal duoprism (**trapedip**)
* {3,6} - Trigonal-hexagonal duoprism (**thiddip**)
* [...]
* {4,4} - Tesseract (**tes**)
* {4,5} - Square-pentagonal duoprism (**squipdip**)
* {4,6} - Square-hexagonal duoprism (**shiddip**)
* [...]
* {5,5} - Pentagonal duoprism (**pedip**)
* {5,6} - Pentagonal-hexagonal duoprism (**phiddip**)
* [...]
* {6,6} - Hexagonal duoprism (**hiddip**)
* [...]
* [...]

## See Also

Template:4CategoryA
Omnion

An **omnion** is the loose definition of a particle formed from the entirety of a universe's matter and energy, at every point along its timeline, folded up into a single particle; based on the local universe's or multiverse's laws of physics, it may be a zero-dimensional point particle, a one-dimensional string, a simple particle, or something entirely different. Omnions might have infinite mass-energy if a universe is infinitely large or has an infinite timeline (or a timeline that can be subdivided with no Planck-time type limit), or they could simply be extremely but measurably energetic.

One way omnions can be created is from The Core of the Omniverse, where universes or other things with very high mass are crushed into the core and shot out, where protoverses and other -verses can be created. Another way is for protoverses to fail, or simply protoverses failing and turning into omnions. A third way is, depending on the multiverse's laws of physics, to crush the entire mass and energy of a universe into a black hole using gravity, thus creating a stable omnion held together by gravity.

It is theorized that our universe's original state was as an omnion, and some external force disrupted the omnion, causing our universe to spring into existence.

Civilizations capable of time travel might use omnions as convenient methods of storing huge amounts of energy, by collapsing entire universes and storing everything within as an omnion. The total energy of a universe's history can only be exceeded by that of a larger -verse (with a larger "type" of infinite energy), or a replicating power source like metamesonium.
Euclidean pentrealm

The **Euclidean pentrealm** is a flat, infinitely large five-dimensional space following the rules of five-dimensional Euclidean geometry. It can be created by taking the Cartesian product of five copies of the Euclidean line.

A pentrealm can be used to bisect an ecton, and polyexa can have pentrealms of symmetry through which they can be reflected. One way of viewing the structure of a polyexon is to view the realmic cross sections of the flunic cross sections of the pentrealmic cross sections of the shape.
Icosahedron

An **icosahedron** is a three-dimensional regular polyhedron with 20 faces, each of which is triangular. There are five faces to each vertex. It is called a **hydrohedron** under the elemental system, and its Bowers name is **ike**.

## Symbols

Dynkin based symbols of the icosahedron include:

* o5o3x (regular)
* o4s3s (snub octahedron)
* s3s3s (snub tetratetrahedron)
* oxoo5ooxo&#xt (pentagonal symmetry)
* xofo3ofox&#xt (triangular symmetry)
* xofox ofxfo&#xt (digonal symmetry)
* fxo ofx xof&#zx (block symmetry)

## Structure and Subfacets

The icosahedron can be decomposed as a blend of two pentagonal pyramids and a pentagonal antiprism. It is also constructible as a snubbed tetrahedron.

### Hypervolumes

* vertex count =

12

{\displaystyle 12}
* edge length =

30
l

{\displaystyle 30l}
* surface area =

5

3

l

2

{\displaystyle 5\sqrt { 3 } { l }^{ 2 }}
* surcell volume =

5

(

3

5

)

12

l

3

{\displaystyle {\frac {5\left(3+{\sqrt {5}}\right)}{12}}{l}^{3}}

### Subfacets

* 12 points (0D)
* 30 line segments (1D)
* 20 triangles (2D)
* 1 icosahedron (3D)

### Radii

* Vertex radius:

5

5

2

2

l

{\displaystyle {\frac {\sqrt {\frac {5+{\sqrt {5}}}{2}}}{2}}l}
* Edge radius:

φ
2

l

{\displaystyle {\frac {\varphi }{2}}l}
* Face radius:

7
3

5

6

2

l

{\displaystyle {\frac {\sqrt {\frac {7+3{\sqrt {5}}}{6}}}{2}}l}

​

### Angles

* dihedral angle:

arccos
⁡
(

5

3

)

{\displaystyle \arccos({\frac {\sqrt {5}}{3}})}

### Vertex coordinates

The vertex coordinates of a regular icosahedron of side 2 are all even permutations of (±φ,±1,0).

### Related shapes

* Dual: dodecahedron
* Vertex figure: Pentagon, edge length 1
* Conjugate: Great icosahedron
* Caps: Pentagonal pyramid (vertex first)
* Diminishings: Pentagonal antiprisms (two opposite vertices diminished), Gyroelongated pentagonal pyramid (single diminishing), metabidiminished icosahedron, tridiminished icosahedron
* Regiment members: 2 (other member: Great dodecahedron)

## See also

**Self-intersecting regular polyhedra:** gad · sissid · gike · gissid

{
3
,
2
}

{\displaystyle \{3,2\}}

{
3
,
3
}

{\displaystyle \{3, 3\}}

{
3
,
4
}

{\displaystyle \{3, 4\}}

{
3
,
5
}

{\displaystyle \{3, 5\}}

{
3
,
6
}

{\displaystyle \{3,6\}}

{
3
,
7
}

{\displaystyle \{3,7\}}

{
3
,
8
}

{\displaystyle \{3,8\}}

{
3
,
∞
}

{\displaystyle \{3,\infty\}}

{
3
,

π
i

λ

}

{\displaystyle \{3,\frac{\pi i}{\lambda}\}}

{
2
,
5
}

{\displaystyle \{2,5\}}

{
3
,
5
}

{\displaystyle \{3, 5\}}

{
4
,
5
}

{\displaystyle \{4,5\}}

{
5
,
5
}

{\displaystyle \{5,5\}}

{
6
,
5
}

{\displaystyle \{6,5\}}

{
7
,
5
}

{\displaystyle \{7,5\}}

{
8
,
5
}

{\displaystyle \{8,5\}}

{
∞
,
5
}

{\displaystyle \{\infty,5\}}

{

π
i

λ

,
5
}

{\displaystyle \{\frac{\pi i}{\lambda},5\}}

t
0

{
5
,
3
}

{\displaystyle t\_0 \{5,3\}}

t
1

{
5
,
3
}

{\displaystyle t\_1 \{5,3\}}

t
2

{
5
,
3
}

{\displaystyle t\_2 \{5,3\}}

t

0
,
1

{
5
,
3
}

{\displaystyle t\_{0,1} \{5,3\}}

t

1
,
2

{
5
,
3
}

{\displaystyle t\_{1,2} \{5,3\}}

t

0
,
2

{
5
,
3
}

{\displaystyle t\_{0,2} \{5,3\}}

t

0
,
1
,
2

{
5
,
3
}

{\displaystyle t\_{0,1,2} \{5,3\}}
Heptasphere

A **heptasphere** is a 7-dimensional surface produced by finding the set of all points that are an equal distance from another point in 8-dimensional space. Because it is curved, it is often represented embedded in 8-dimensional space. A heptasphere is the shape of the exterior of an octorb. It is the 7-dimensional hypersphere.
Irregular spiral galaxy

An **irregular spiral galaxy** (also known as a Magellanic spiral galaxy, after the Magellanic clouds which are examples of this classification) is a galaxy that has some spiral structure, but is irregular in appearance, with no central bulge. Because of their irregular shape, they are often compared to irregular galaxies in structure; often the two groups are considered to be equivalent.

Some examples of irregular spiral galaxies in our universe include the Large Magellanic Cloud, NGC 55 and NGC 3109.
University

Ericka: I want to go to univeristy

Chloe: Cool, let's attend classes, get barely passes, eat asses, and break Ericka's glasses

Ericka: Fuck you

(At the signup sheet)

The lady: Ok so what are your names

Chloe: Klohi Jetix and its not pronounced Kloh-hi Jet-icks its pronounced Kloh-ee Yet-eecks

Ericka: Ericka Fucking Streets but leave out the word Fucking

The lady: Ok and do you have any ailments or mental conditions

Chloe: Yeah we are both autistic fucks and genuinely so Ericka don't hit me

Ericka: I am majoring in music

Chloe: I am majoring in that shit tooo

(Some time later actually at university)

Chloe: THIS IS MY SONG LA LA LA LA LA LA ERICKA SUCKS LA LA LA LA LA LA FUCK LA LA LA LA LA LA