recursal/Fanatic-Fandom huggingface dataset:
Domain of Divine Art

Chart showing the location of the domain

The **Domain of Divine Art** is a realm found in Abstraction, where the Meanings of Artworks reside alongside the Essence of Divine Art. The span of this realm, the ascendent space it takes up within abstraction, is determined by its inhabitants, that is to say, the domain of works of art results from the engagement of a self-consciousness on an intent (author), and the will of a self-consciousness to provide interpretation (audience). While fiction is co-created by these two, its meaning is divine, is searched for, and its coordinates are approximated, but never reached, as it resides within the Domain of Divine Art. The projection of coordinates (given by the intersecting intents and interpretations) onto Abstraction represents the Domain of Divine Art. The border of the Domain can be thought of as constituted by the outer-most meanings. It can be thought of as a sort of a paradisiacal space, a garden of earthly delights.

## Art

The notion of art is a dialectical one, and a one impossible to conclusively define, because the very definition gives it a boundary that is destined to be surpassed. – Surrealist art, for instance, breached the definition of what art was considered to be, hence widening the notion, and setting the stage for another disturbance to this new definition, as presented by suprematism. Each movement of the notion incorporates within the renewed definition the inadequacies of its previous iteration. – Art is art only insofar as it ceases to be itself. Many have pondered meaning of an art piece, trying to uravel the complex web of relations of authors (writers, composers, etc.), executing entities (players, performers, etc.), and recipients (audiences, viewers, etc.) with theories of art interpretation postulating that meaning cannot reside with any one of them alone. Within the Rollebon cosmology cosmology, meaning is not made. It exists already within the framework of the universe. It is found. And it is all of the above mentioned parties that discover this meaning together. Only ever approximating it, but never discovering it. Art is divine, it is godly, and as such, it is an antecedent to all the universes that developed self-consciousnesses.

## In other media

In the Stanley Parable video game, after the player engages in a tedious minigame for four hours, they are teleported into a white void, where they are addressed by the Essence of Divine Art. Although completely different from the realm of Divine Art described here and adhering to the Rollebon cosmology, within the story of the video game, the space is also accessed by understanding the meaning of the artwork, i.e. arriving at an intersection of interpretation and intent. **In the video game, the Essence of Divine Art describes its domain as a garden built within the emotions of a flower.** More information can be found on the Stanley Parable Wiki.
Open Möbius band

An **open Möbius band** is a two-dimensional shape similar to an ordinary Möbius band, but with the single circular edge removed. It can be constructed from a strip in the same way that a normal Möbius band can be constructed, though the strip must also be open on two sides to give the open edge of the open Möbius band.

Because there are no points on the edge, it is topologically equivalent to the infinite Möbius band.
Laniakea Supercluster

Universe → Pisces–Cetus Supercluster Complex → **Laniakea Supercluster**

The Laniakea Supercluster is a large supercluster, possessing several lobes that are themselves superclusters. These include:

* Virgo Supercluster
* Centaurus Supercluster
* Pavo-Indus Supercluster

The Laniakea Supercluster is also home to a gravitational anomaly called the Great Attractor.

## References

1. ↑ https://en.wikipedia.org/wiki/Laniakea\_Supercluster
2. ↑ http://www.atlasoftheuniverse.com/supercls.html
Order-5 pentagonal tiling

An **order-5 pentagonal tiling** is a regular hyperbolic tiling in which five regular pentagons surround each vertex.

## See Also

{
5
,
2
}

{\displaystyle \{5,2\}}

{
5
,
3
}

{\displaystyle \{5, 3\}}

{
5
,
4
}

{\displaystyle \{5,4\}}

{
5
,
5
}

{\displaystyle \{5,5\}}

{
5
,
6
}

{\displaystyle \{5,6\}}

{
5
,
7
}

{\displaystyle \{5,7\}}

{
5
,
8
}

{\displaystyle \{5,8\}}

{
5
,
∞
}

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

{
5
,

π
i

λ

}

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

**Irregular galaxies** are a type of galaxy, often very small, that have an irregular, nebula-like shape and no spiral arm structure. Many of them, like nebulae, are rich in stars, gas, and dust, while others are older spiral or elliptical galaxies that were perturbed by gravity into unusual shapes. There are two main types of irregular galaxies:

**Irr I** galaxies appear to have some structure, like a central bar or spiral arms, but are difficult to classify.

**Irr II** galaxies do not have any consistent structure.

Well-known irregular galaxies in our universe include the Small Magellanic Cloud, Leo A, and IC 10.
Multiversal Implosion

The Multiversal Implosion within ~15 seconds of the explosion.

Multiversal Implosions are the multiversal level equivalent of the Big Bang or Big Boom, but instead of only creating or destroying, it combines a mixture of both creation and destruction. The vent typically starts occuring an infinitesimal of a second after the Big Bang, and continues onward until the multiverse eventually decomposes or somehow gets reverted to nothingness. This is caused due to the multiverse getting created at that time, since infinite sets of parallel universes appear every planck instant in aforementioned universe.

## Force

The force of this implosion can occasionally completely disintegrate a few dozen sets of altverses that have the lowest distance from it, depending on the size of the infinity (countable) in said multiverse. For example, if said multiverse only exists for an infinitesimal of a second before it turns back into nothing, then the explosion will likely only damage a few objects inside of the universes it reaches. On the other hand, if it lasts as long as an eternity, then it will constantly expand and destroy tons of sets of altverses.

## Affect

The effect the explosion has is heavily cataclysmic. Even if it only lasts a singular infinitesimal of a second, then it will completely compress or vaporize the objects or matter inside (and outside) of the universes around it to atoms, and most likely into even protons and neutrons. However, the most powerful multiversal implosion can completely evaporate all matter (including dark matter) inside of the universes, and even outside of the universes within the bounds of the set of altverses. Even the objects in the outer sets of altverses will be reduced to quantum string and other sub-sub-atomic particles. It, in fact, almost affects the entire multiverse by damaging it. However, the multiversal implosion also **creates** the sets of altverses in the first place much faster than it destroys them, so it will never damage the entire multiverse, as it is constantly expanding faster than the rate of the explosion.  Also, it doesn't destroy **all** universes in the way.  Some universes have properties that allow objects inside aforementioned universe to survive this explosion, and sometimes the explosion will completely miss them by expanding in the opposing direction. It creates universes and sets of altverses by leaving behind it's energy, slowly forming into seperate universes and objects.
Lebesgueverse

One way to classify -verses is to classify them by the metric that their geometry uses, or how distances between two points can be measured. Locally, but not globally, our universe follows the Euclidean metric, which means distances are determined using the Pythagorean theorem, and that a unit circle can be defined as

x
2

y
2

=
1

{\displaystyle x^2 + y^2 = 1}

. A Euclidean space can be termed as the **L2 norm**. You can define -verses that follow different norms, **Lp norms**, where **p** can be any nonzero real number (unit circles can be defined as

x

p

y

p

=
1

). Variants of these -verses can be known as **Lebesgueverses**.

A Taxicabverse follows the **L1 norm**, and a Chebyshevverse follows the **L∞ norm**. Both of those norms are the only two where the ratio of the circumference to the diameter is equal to 4, which the largest possible value. The smallest value of that ratio is in the Euclidean metric, where it is equal to π (approximately 3.14159...).

## References

* https://en.wikipedia.org/wiki/Norm\_(mathematics)
List of Uniform Polychora/8

* 320. Quasicantitruncated great grand stellated hecatonicosachoron (**gaqrigagishi**)
* 321. Quasicantitruncated great stellated hecatonicosachoron (**gaqrigashi**)

### Cotcoics (322-329)

* 322. Tesseractihexadecatruncated tesseractihexadecachoron (**thatoth**)
* 323. tesseractihexadecaquasitruncated tesseractihexadecachoron (**thaquitoth**)
* 324. Icositetraquasitruncated tetracontoctachoron (**iquatoc**)
* 325. Hecatonicosahexacositruncated hecatonicosahexacosichoron (**hixthix**)
* 326. Dishecatonicosatruncated dishecatonicosachoron (**dahitady**)
* 327. Hecatonicosahecatonicosaquasitruncated dishecatonicosachoron (**hihiquatady**)
* 328. Dishecatonicosaquasitruncated dishecatonicosachoron (**dahiquatady**)
* 329. Hecatonicosahexacosiquasitruncated hecatonicosahexacosichoron (**hixquathix**)

## See Also

Template:4Category8
Kalyubi Glass

**Kalyubi Glass**, (interchangably, Kalyubi Crystals, or Kalyubi Matter)are artifacts, or materials that are used for various different reasons. These crystals are extremely powerful, to the point where they'd drive the leaders of lower civilizations insane just to get their hands on them.

## **Information**

This material is created from leftover matter forming, or being sent into the Kalyubi Dimension, then being compressed just before it collapses into a black hole, and being in the Kalyubi Dimension for long enough to lose enough mass and turn blue.

These crystals are used as an immeasurable source of power aswell, seeing as some of the high command in The Eternal Legion ordered slaves to attempt to try and duplicate Kalyubi Glass without making them genuinely, which would've taken too long. The artificial Kalyubi Glass was created by condensing Omnions into a small space and then accelerating time in the area that the omnions were in. These artificial crystals were used to power the batteries of Terminus when it was first activated.

The Great Cosmic Republic also utilized Kalyubi Glass to an extent for many different purposes, such as powering ships like the Omnius-Infinity.

## **Properties**

* Kalyubi Glass does not run out of power unless given no chance to recharge. Even then, the only thing required to replenish its energy is time.
* As stated above, Kalyubi Glass can recharge within a few days.
* Kalyubi Glass takes thousands of years to form naturally.
Labyrinth

**Labyrinth** is a mostly sessile cosmic entity comprised of a partial Alomic support structure without significant Outsidal support. Despite being Alomic, Labyrinth can be both weak and predictable when handled correctly.

Labyrinth operates with a large whitelist of civilisations that it will interact with. If it encounters a new civilisation that is not on the whitelist, it will attempt to erase the entities communicating with it; following this, it will add the communicating entities to its whitelist. For most extant civilisations that would interact with Labyrinth, there is a sufficiently close whitelisted civilisation that they can operate as to interact with Labyrinth safely.

Labyrinth has little memory of its past interactions, instead believing a whitelisted civilisation to have a certain history which is similar for all instances of that civilisation it percieves. Civilisations similar to whitelisted civilisations that have a high perceived rapport with Labyrinth can unboundedly exploit it for resources commensurate with those available to an Alomic entity; this is a source of much discontent in near-Labyrinthine anchorspace, as some of Labyrinth's values, most egregiously those pertaining to acausal precedence in correlation trades and compressibility of communally-sentient behaviour, are gravely distinct from the conjectured converged civilisational correlation (C3) characteristic of this space in the absence of Labyrinth.

Labyrinth's internal structure is opaque to outsiders; rangefinder projections are blocked entirely by its outer skin, and slow-SAWs and rainbowfinders that pass through this outer layer are immediately erased in a similar way to a non-whitelisted civilization. Furthermore, no whitelisted civilisation has rainbowfinder capabilities with a chainfrequency greater than orange; all civilizations that scan the interior of Labyrinth with such a rainbowfinder are detected as non-whitelisted, regardless of other properties.
Kinetic energy operator

The **kinetic energy operator**,

T
^

{\displaystyle \hat{T}}

, is a quantum mechanical operator corresponding to the observable kinetic energy. It can be written in terms of the momentum operator as

p
^

2

2
m

{\displaystyle \frac{ \hat{p}^2 }{2m}}

 for a single nonrelativistic particle of mass m.

## Representation

In the position representation, the kinetic energy of a single, non-relativistic particle of mass m is

T
^

=
−

ℏ
2

2
m

∇
2

{\displaystyle \hat T = - \frac{\hbar^2}{2m} \nabla^2}

.
Lodeverse

A **lodeverse** is an archverse whose index is a limit ordinal - an ordinal that is neither zero nor a successor to another ordinal. Importantly, what this also implies is that under classical ordinal arithmetic, a lodeverse has no immediate predecessor; there does not exist an archverse from which ascending one level will take one to a lodeverse. In the surreals, however, there *does* exist a predecessor to a "limit" surreal and thus an archverse one level below. Surreal lodeverses are therefore, in one sense, somewhat less significant.

Soupcount places the omniverse as the first lodeverse, a -verse whose position is the first transfinite ordinal ω. Alternative systems place the omniverse at uncountability or other post-infinites, so intermediate archverses are assigned to lodeverse levels perhaps somewhat arbitrarily.

Since a set of countably infinite size can be reordered to have any countable order type, a simple renumbering of the archverses can generate as many lodeverses as desired. Such a tactic is popular among feuding cosmic entities; since lodeverses serve as hubs for movement and position, a sudden reordering of which archverses count as lodeverses can disrupt infrastructure and make a subsequent invasion or memetic rewriting attack much easier.
Kardashev Scale

The **Kardashev scale** is a means of ranking a civilization (or similar entity or group) by measuring its power generation and usage capacity. It is often misunderstood by assuming that it measures *size*; however, a civilization that spans an entire galaxy might be of a lower type than expected if it does not actually use the entire galaxy's energy.

The three basic types are as follows:

* Type 1.0 Civilization: Able to use the entire solar energy available to an Earth-sized planet. (1016 watts by Carl Sagan's definition of the scale.)
* Type 2.0 Civilization: Able to use the entire energy output of a star. (1026 watts)
* Type 3.0 Civilization: Able to use the entire energy output of a galaxy. (1036 watts)

The decimals indicate that by more precisely measuring power usage, one can arrive at a value in between the main types; a civilization using 1021 watts could be considered Type 1.5.

Various extensions to the scale have been proposed; two are particularly relevant here. One says that simply multiplying each new type's power by 1010 brings it to the next type, so a Type 4.0 Civilization would use 1046 watts, a Type 5.0 Civilization would use 1056, a Type 6.0 Civilization would use 1066, and so on. The values of higher -verses depends heavily on the accepted size of these -verses, which varies based on the cosmology being used.

The other is to simply keep going up from the "planet, star, galaxy" progression, so a Type 4.0 would use the power of a universe, a Type 5.0 would use the power of a multiverse, a Type 6.0 would use the power of a megaverse, and so on.
Octahedral hosochoron

An **octahedral hosochoron** is a 4D polychoron with eight trigonal hosohedral cells. In normal Euclidean space, it is degenerate, but it can exist as a honeycomb of the glome.

## See Also

{
2
,
3
,
4
}

{\displaystyle \{2,3,4\}}

{
3
,
3
,
4
}

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

{
4
,
3
,
4
}

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

{
5
,
3
,
4
}

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

{
6
,
3
,
4
}

{\displaystyle \{6,3,4\}}

Template:Variant Nav 2 X 4

{
2
,
3
,
2
}

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

{
2
,
3
,
3
}

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

{
2
,
3
,
4
}

{\displaystyle \{2,3,4\}}

{
2
,
3
,
5
}

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

{
2
,
3
,
6
}

{\displaystyle \{2,3,6\}}
Klein bottle

A **Klein bottle** is a two-dimensional non-orientable surface with an Euler characteristic of 0. It can be formed from the connective sum of two real projective planes.

## Structure and Sections

All nonorientable closed surfaces with two crosscaps (i.e. with an Euler characteristic of 0) are homeomorphic to the Klein bottle due to the classification theorem of closed surfaces.

## See Also

S

2

{\displaystyle \mathbb S^{2}}

R
P

2

{\displaystyle \mathbb{RP}^2}

2

R
P

2

{\displaystyle 2\mathbb{RP}^2}

3

R
P

2

{\displaystyle 3\mathbb{RP}^2}
Omegeract

## Omegacube

The edges of an omegaract have been orthogonally projected upon the Coxeter plane. Since there are an infinite amount of edges the circle appears completely filled in.

## Subfacets

### Vertices

ℵ0

An **omegeract**, sometimes (colloquially) referred to as an  **omegacube**  or **apeirocube**, is a countably infinite dimensional analogue of the cube. An omegeract can be constructed by considering the product of a countably infinite number of real intervals of equal length

[
0
,
x
]
:
x
∈

R

0
<

{\displaystyle [0, x]: x \in {\mathbb {R}}\_{0<}}

.

An example of the omegeract’s analogue of a cuboid is known as a **Hilbert cube**, which is most commonly defined to be the set of all sequences of all real numbers

(

x
n

)
:
0
≤

x
n

≤

1
n

{\displaystyle (x\_n): 0 \leq x\_n \leq \frac{1}{n}}

. Though omegeracts are infinitely dimensional, it could be walked around in a short amount of time, due to the fact that the quickest geodesic around an n-dimensional hypercube is a square proportional to the side length of the given hypercube.

## References

1. ↑ https://en.wikipedia.org/wiki/Hilbert\_cube#Definition
2. ↑ Barile, Margherita. "Hilbert Cube." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. http://mathworld.wolfram.com/HilbertCube.html
Order-7 pseudogonal tiling

An **order-7 pseudogonal tiling** is a regular noncompact hyperbolic tiling created from joining 7 pseudogons of the same symmetry at a vertex.

## See Also

{
2
,
7
}

{\displaystyle \{2,7\}}

{
3
,
7
}

{\displaystyle \{3,7\}}

{
4
,
7
}

{\displaystyle \{4,7\}}

{
5
,
7
}

{\displaystyle \{5,7\}}

{
6
,
7
}

{\displaystyle \{6,7\}}

{
7
,
7
}

{\displaystyle \{7,7\}}

{
8
,
7
}

{\displaystyle \{8,7\}}

{
∞
,
7
}

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

{

π
i

λ

,
7
}

{\displaystyle \{\frac{\pi i}{\lambda}, 7\}}

{

π
i

λ

,
2
}

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

{

π
i

λ

,
3
}

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

{

π
i

λ

,
4
}

{\displaystyle \{\frac{\pi i}{\lambda},4\}}

{

π
i

λ

,
5
}

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

{

π
i

λ

,
6
}

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

{

π
i

λ

,
7
}

{\displaystyle \{\frac{\pi i}{\lambda}, 7\}}

{

π
i

λ

,
8
}

{\displaystyle \{\frac{\pi i}{\lambda}, 8\}}

{

π
i

λ

,
∞
}

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

{

π
i

λ
1

,

π
i

λ
2

}

{\displaystyle \{\frac{\pi i}{\lambda\_1},\frac{\pi i}{\lambda\_2}\}}
Ordinal space

**Ordinal spaces** are discrete spaces with the natural order topology created from a series of points constructed from and can be labeled with ordinal numbers. You can label an ordinal space in a similar fashion to the Von Neumann construction of ordinals, with some ordinal

λ

{\displaystyle \lambda}

 being the set of all ordinals smaller than it, and the successor of

λ

{\displaystyle \lambda}

 being the one-point compactification of

λ

{\displaystyle \lambda}

, created by adjoining an extra point to the space. You can notate an ordinal space with a notation similar to interval notation.

# 0
∅

{\displaystyle 0=\emptyset}

# λ
[
0
,
λ
# )
{
α

α
<
λ
}

{\displaystyle \lambda = [0, \lambda) = \{\alpha|\alpha < \lambda\}}

λ
# 1
[
0
,
λ
# ]
{
α

α
≤
λ
}

{\displaystyle \lambda + 1 = [0, \lambda] = \{\alpha|\alpha \leq \lambda\}}

0 corresponds to the empty set. 1 corresponds to a single point. Finite ordinals correspond to a discrete collection of a finite amount of points, such as a point pair (2) or point triplet (3). The first infinite ordinal ω corresponds to the natural line, as the natural numbers have the order type ω. The first infinite successor ordinal ω+1 corresponds to a natural line adjoined with an extra point called ω, and this new ordinal space is compact with two boundary points (0 and ω), unlike the natural line which only has one boundary point (0).

The ordinal spaces ω1 and ω1+1, the first uncountable limit and successor ordinal respectively, are of particular interest. Assuming the Continuum Hypothesis, they have the same number of points as the real line and extended real line.
Star

A **star** is a celestial body that is in hydrostatic equilibrium (in other words spherical under the force of gravity) and is undergoing or has underwent nuclear fusion. Many stars are surrounded by orbiting planets; the star-planet collection is called a star system. Some stars come in gravitationally bound groups of two or more; these are called multiple star systems.

A civilization that controls all of the available resources of a star, such as by surrounding it with a Dyson sphere, is called a Type 2.0 Civilization.

* A Class O star.
* A Class B star.
* A Class A star.
* A Class F star.
* A Class G star.
* A Class K star.
* A Class M star.
* A Class L star.
* A Class T star.
* A Class Y star.
1/10

**Brown dwarf classes**: **Y** · **T** · **L** · **M**
**Wolf-Rayet and carbon star classes**: **S** · **C** · **W**
**Stellar remnant classes**: **D** · **N** · **Ω**
Order-7 apeirogonal tiling

The **order-7 apeirogonal tiling** is a regular hyperbolic tiling formed from apeirogons joining seven to a vertex.

## See also

{
2
,
7
}

{\displaystyle \{2,7\}}

{
3
,
7
}

{\displaystyle \{3,7\}}

{
4
,
7
}

{\displaystyle \{4,7\}}

{
5
,
7
}

{\displaystyle \{5,7\}}

{
6
,
7
}

{\displaystyle \{6,7\}}

{
7
,
7
}

{\displaystyle \{7,7\}}

{
8
,
7
}

{\displaystyle \{8,7\}}

{
∞
,
7
}

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

{

π
i

λ

,
7
}

{\displaystyle \{\frac{\pi i}{\lambda}, 7\}}

{
∞
,
2
}

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

{
∞
,
3
}

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

{
∞
,
4
}

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

{
∞
,
5
}

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

{
∞
,
6
}

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

{
∞
,
7
}

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

{
∞
,
8
}

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

{
∞
,
∞
}

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

{
∞
,

π
i

λ

}

{\displaystyle \{\infty,\frac{\pi i}{\lambda}\}}
Order-6 square tiling

The **order-6 square tiling** is a regular hyperbolic tiling formed from squares joining six to a vertex.

This tiling can have a two-colouring on the squares, leading to the 443 loop group.

## See also

{
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\}}

{
4
,
2
}

{\displaystyle \{4,2\}}

{
4
,
3
}

{\displaystyle \{4,3\}}

{
4
,
4
}

{\displaystyle \{4,4\}}

{
4
,
5
}

{\displaystyle \{4,5\}}

{
4
,
6
}

{\displaystyle \{4,6\}}

{
4
,
7
}

{\displaystyle \{4,7\}}

{
4
,
8
}

{\displaystyle \{4,8\}}

{
4
,
∞
}

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

{
4
,

π
i

λ

}

{\displaystyle \{4, \frac{\pi i}{\lambda}\}}

Template:Variant Nav 6 4
Template:Variant Nav loop 443
Order-8 hexagonal tiling

An **order-8 hexagonal tiling** is a regular two-dimensional hyperbolic tiling. Six hexagons meet at each vertex.

## See Also

{
6
,
2
}

{\displaystyle \{6,2\}}

{
6
,
3
}

{\displaystyle \{6,3\}}

{
6
,
4
}

{\displaystyle \{6,4\}}

{
6
,
5
}

{\displaystyle \{6,5\}}

{
6
,
6
}

{\displaystyle \{6,6\}}

{
6
,
7
}

{\displaystyle \{6,7\}}

{
6
,
8
}

{\displaystyle \{6,8\}}

{
6
,
∞
}

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

{
6
,

π
i

λ

}

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

Template:Variant Nav X 8
Neutronium

**Neutronium** (symbol **n** , **Nu** or **Nn**, also can be referred to as **neutrium**, **neutrite**, or **nilnilnilium**) is a colourless substance composed completely out of neutrons. It is a term that can be used to refer to the neutron-degenerate matter inside neutron stars. Although it lacks a proton and therefore cannot be considered one, neutronium is sometimes called the "zeroth" element on the periodic table, and can be placed above and to the left of Hydrogen in its own family and group or right above Helium with the other inert nonmetals.

Neutronium under standard atmospheric pressure and temperature would be gaseous, have a half-life of 10 minutes and 11 seconds, and pertain a density of 0.045 mg/L, half as dense as Hydrogen. However, in its degenerate form, it is stable, a superfluid, and has a density of almost 400 quadrillion kg/m3, which is almost 17 quadrillion times denser than Osmium. This degenerate state cannot be achieved under pressures lower than that of a neutron star's, and would explode in a short amount of time. This may make it useful for extremely powerful bombs used by advanced civilizations that could easily manipulate matter. Such a weapon may have to contain a large amount of neutronium under extremely high pressure and fired at a very high speed. Once it comes into contact with its target, the bomb will crack and the sudden change in pressure will make the weapon explode with a tremendous force. Neutronium is completely useless as a building material due to its fluid state and short lifespan.

## References

1. ↑ https://en.wikipedia.org/wiki/Neutronium#Neutronium\_and\_the\_periodic\_table
2. ↑ http://planetstar.wikia.com/wiki/List\_of\_elements
3. ↑ https://books.google.ca/books?id=Te1jBAAAQBAJ&pg=PA444&lpg=PA444&dq=neutronium+symbol&source=bl&ots=0LRjZm-VWZ&sig=bwoQYZgQj4ZIvWgF7Z61XnypDHw&hl=en&sa=X&ved=0ahUKEwiktNK9gPzYAhUMca0KHWQtA1YQ6AEIkwEwGA#v=onepage&q=neutronium%20symbol&f=false
4. ↑ https://io9.gizmodo.com/5899961/neutrium-the-most-neutral-hypothetical-state-of-matter-ever
5. ↑ https://en.wikipedia.org/wiki/Neutron#Free\_neutron\_decay
6. ↑ https://arxiv.org/pdf/astro-ph/0012209v1.pdf
Internal energy

**Internal energy** is the total energy stored inside a thermodynamic system, measured in J with dimensions of [length]2[mass][time]-2. It can be increased by three different things: heat flow into the system, work done on the system, and matter transfer into the system. A small change in work can be expressed as

d
# U
δ
Q
δ
W
δ
U

{\displaystyle dU = \delta Q + \delta W + \delta U}

Here, dU is a small change in energy, δQ is a small addition of heat, δW is a small amount of work done, and δU is a small amount of matter transfer.

By writing heat, work and matter in terms of the other thermodynamic variables (temperature T, entropy S, pressure p, volume V, chemical potential μ, and particle number N), one can get the expression

d
# U
T
d
S
−
p
d
V
μ
d
N

{\displaystyle dU = T dS - p dV + \mu dN}

This expression is often more useful because it is in terms of changes in the state variables, which are total derivatives, which means that it can be applied to both reversible and irreversible processes (in fact, this expression gives the same change in internal energy regardless of the path integral chosen).

## Partial Derivatives

Because this is the total derivative of the internal energy, each of the intensive thermodynamic state variables can be written as a partial derivative of the internal energy, as

# T

∂
U

∂
S

{\displaystyle T = \frac{\partial U}{\partial S}}

# p
−

∂
U

∂
V

{\displaystyle p = -\frac{\partial U}{\partial V}}

# μ

∂
U

∂
N

{\displaystyle \mu = \frac{\partial U}{\partial N}}

These definitions can lead to some unusual consequences; for example, a system which has its entropy decrease with the addition of internal energy has a negative temperature.

## Second Partial Derivatives

By taking the second partial derivatives of the internal energy, then the Maxwell relations are obtained. These are

∂
T

∂
V

=

∂
U

∂
S
∂
V

=
−

∂
p

∂
S

{\displaystyle \frac{\partial T}{\partial V} = \frac{\partial U}{\partial S \partial V} = -\frac{\partial p}{\partial S}}

∂
T

∂
N

=

∂
U

∂
S
∂
N

=

∂
μ

∂
S

{\displaystyle \frac{\partial T}{\partial N} = \frac{\partial U}{\partial S \partial N} = \frac{\partial \mu}{\partial S}}

−

∂
p

∂
N

=

∂
U

∂
V
∂
N

=

∂
μ

∂
V

{\displaystyle -\frac{\partial p}{\partial N} = \frac{\partial U}{\partial V \partial N} = \frac{\partial \mu}{\partial V}}

With the first of which, relating pressure and temperature, typically considered the Maxwell relation associated with the internal energy.
Order-4 pseudogonal tiling

'"`UNIQ--postMath-00000001-QINU`"'

An **order-4 pseudogonal tiling** is a regular noncompact hyperbolic tiling constructed from joining four pseudogons of the same symmetry to a vertex.

## See Also

{
2
,
4
}

{\displaystyle \{2,4\}}

{
3
,
4
}

{\displaystyle \{3, 4\}}

{
4
,
4
}

{\displaystyle \{4,4\}}

{
5
,
4
}

{\displaystyle \{5,4\}}

{
6
,
4
}

{\displaystyle \{6,4\}}

{
7
,
4
}

{\displaystyle \{7,4\}}

{
8
,
4
}

{\displaystyle \{8,4\}}

{
∞
,
4
}

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

{

π
i

λ

,
4
}

{\displaystyle \{\frac{\pi i}{\lambda},4\}}

{

π
i

λ

,
2
}

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

{

π
i

λ

,
3
}

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

{

π
i

λ

,
4
}

{\displaystyle \{\frac{\pi i}{\lambda},4\}}

{

π
i

λ

,
5
}

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

{

π
i

λ

,
6
}

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

{

π
i

λ

,
7
}

{\displaystyle \{\frac{\pi i}{\lambda}, 7\}}

{

π
i

λ

,
8
}

{\displaystyle \{\frac{\pi i}{\lambda}, 8\}}

{

π
i

λ

,
∞
}

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

{

π
i

λ
1

,

π
i

λ
2

}

{\displaystyle \{\frac{\pi i}{\lambda\_1},\frac{\pi i}{\lambda\_2}\}}
Small stellated hecatonicosachoron

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

Its Bowers acronym is **sishi**.

## See Also

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

The **monoatomic ultrarelativistic ideal gas**, in statistical mechanics, is an approximation that models gas as a large number of independent particles with no internal structure, at a high enough temperature that the rest energy of the particles is negligible compared to the kinetic energy and the ultra-relativistic approximation can be used. This occurs when velocities are very close to the speed of light.

## Energy Levels

The energy levels of an ideal gas are given by the requirement for an integer number of wavelengths of the particles to fit inside the container. This means that

k
\_

=

(

2
π

L
x

I
x

,

2
π

L
y

I
y

,

2
π

L
z

I
z

)

{\displaystyle \underline{k} = \left( \frac{2\pi}{L\_x} I\_x , \frac{2\pi}{L\_y} I\_y, \frac{2\pi}{L\_z} I\_z \right)}

, and therefore that the interval between adjacent wavenumber levels is

Δ
k

\_

=

(

2
π

L
x

,

2
π

L
y

,

2
π

L
z

)

{\displaystyle \underline{\Delta k} = \left( \frac{2\pi}{L\_x} , \frac{2\pi}{L\_y}, \frac{2\pi}{L\_z} \right)}

.

The momentum levels of the gas are therefore found by the de Broglie relation to be

p
\_

=

k
\_

ℏ

{\displaystyle \underline{p} = \underline{k} \hbar}

.

The energy of a particle in ultrarelativistic mechanics is

ϵ

p
\_

=

p
\_

c

{\displaystyle \epsilon\_{\underline{p}} = \underline{p} c}

, so the energy levels in terms of wavenumber are

ϵ

k
\_

=
ℏ

k
\_

c

{\displaystyle \epsilon\_{ \underline{k} } = \hbar \underline{k} c}

, with the allowable wavenumber levels as above.
Mercury

Universe → Pisces–Cetus Supercluster Complex → Laniakea Supercluster → Virgo Supercluster → Local Group → Milky Way Galaxy → Orion-Cygnus Arm → Gould Belt → Local Bubble → Local Interstellar Cloud → Solar System → **Mercury**

**Mercury** is the first planet from the Sun.

## Characteristics

Mercury is the smallest planet in our solar system, spanning a diameter of less than 5,000 km wide. It's surface is similar to our moon's, being battered with craters, with the largest one being the Caloris Basin, at 1,550 km in diameter.

While it's rotation period is about 59 days, the time it takes from one sunset to another on Mercury, is well over 176 days.

Mercury has virtually no atmosphere, due to the solar winds blasting off its atmosphere. As it has no atmosphere to retain a steady temperature range, Mercury's temperature range is the greatest in the solar system, from -173 °C at night, to 426 °C in the day.

Mercury has no moons.
Order-4 hexagonal tiling

An **order-4 hexagonal tiling** is a regular two-dimensional hyperbolic tiling. Four hexagons meet at each vertex.

## See Also

{
6
,
2
}

{\displaystyle \{6,2\}}

{
6
,
3
}

{\displaystyle \{6,3\}}

{
6
,
4
}

{\displaystyle \{6,4\}}

{
6
,
5
}

{\displaystyle \{6,5\}}

{
6
,
6
}

{\displaystyle \{6,6\}}

{
6
,
7
}

{\displaystyle \{6,7\}}

{
6
,
8
}

{\displaystyle \{6,8\}}

{
6
,
∞
}

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

{
6
,

π
i

λ

}

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

{
2
,
4
}

{\displaystyle \{2,4\}}

{
3
,
4
}

{\displaystyle \{3, 4\}}

{
4
,
4
}

{\displaystyle \{4,4\}}

{
5
,
4
}

{\displaystyle \{5,4\}}

{
6
,
4
}

{\displaystyle \{6,4\}}

{
7
,
4
}

{\displaystyle \{7,4\}}

{
8
,
4
}

{\displaystyle \{8,4\}}

{
∞
,
4
}

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

{

π
i

λ

,
4
}

{\displaystyle \{\frac{\pi i}{\lambda},4\}}
Octealmverse

An **octealmverse** is a universe that occupies 8-Dimensional Space.

As usual, octealmverses 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.
Mobile -verse

A **mobile -verse** is a -verse of any kind that can move through the -verse containing it, or even enter others. For example, a universe that could fly through the Interdimensional Void within its multiverse, or enter other multiverses, would be considered mobile. This is just one way among several on which universes can be classified.

Mobile -verses have four main types.

## Type 0

This is the base case that all the -verses inside a larger -verse are possibly in constant motion, either "orbiting" each other or larger structures that exist outside of them in a similar way to solar systems or galaxies inside a universe. Multiverses (or larger types of -verses) like this could be the common case or they could be quite rare with most of them being much more static in nature.

## Type I

Type I mobile -verses, sometimes called **driftverses**, are not actually controlled in their movement, being subject to unusual laws of physics or the like that cause them to float aimlessly through space. They resemble bits of flotsam drifting along "currents" through the interdimensional void. They can be dangerous to other -verses, as a direct impact with a driftverse can cause a crossover event.

## Type II

Type II mobile -verses, sometimes called **cellverses**, are self-contained organisms like bacteria or eukaryotic cells, and are capable of propelling themselves in different directions according to their own thoughts. A cellverse may use massive quantum thrusters, metamesonium reactors, or portals, or perhaps simpler, more organic-like technology, to move around. They may have formed spontaneously, like Boltzmann Brains, or "evolved" through generations of universe-splitting events. It may even be possible to communicate with a few of the most intelligent cellverses.

## Type III

Type III mobile -verses, sometimes called **launchverses**, are propelled not by themselves but by a civilization or Cosmic Entity living inside them. They can often be used as mobile bases of operations; a multiverse or megaverse that can move around is capable of storing massive, possibly infinite, quantities of spacecraft, raw materials, and living space.
Numbverse

**Numbverses** are -verses that are only present within the Kalyubi Dimension. Since the Kalyubi Dimension doesn't have normal properties, Numbverses are the only possible major structures within the entire space.

Numbverses can vary in size, they can be smaller than a regular Universe or the size of an entire Monocosm, but can't really get any bigger.

Numbverses have no redshift, and are completely void of any life other than entities that were already banished to the Kalyubi Dimension. Numbverses also all have the same laws of physics, if any at all.
Order-7 triangular tiling

The **order-7 triangular tiling** is a regular hyperbolic tiling formed from triangles joining seven to a vertex.

## See also

{
2
,
7
}

{\displaystyle \{2,7\}}

{
3
,
7
}

{\displaystyle \{3,7\}}

{
4
,
7
}

{\displaystyle \{4,7\}}

{
5
,
7
}

{\displaystyle \{5,7\}}

{
6
,
7
}

{\displaystyle \{6,7\}}

{
7
,
7
}

{\displaystyle \{7,7\}}

{
8
,
7
}

{\displaystyle \{8,7\}}

{
∞
,
7
}

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

{

π
i

λ

,
7
}

{\displaystyle \{\frac{\pi i}{\lambda}, 7\}}

{
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 7 3
Quantum string

**Quantum string** (or just **string**) is a one-dimensional object operating at levels much, much smaller than subatomic particles. Strings can be open or closed, forming lines or loops respectively, and trace two-dimensional worldlines as they move.

For strings to work in the way that humans suspect, the universe would need to have eleven dimensions (according to M-theory), most of which would be tightly rolled up on themselves. It also might imply brane cosmology, where the universe was created by M-theory's predicted interactions.
Manifold

A **manifold** is a topological space with the property that every point's neighbourhood is homeomorphic to Euclidean space's. Informally, this means that when you "zoom in" on a point, the space around said point will eventually become indistinguishable to a Euclidean space. Examples of basic types of manifold are listed below.

* Euclidean space
* Hypersphere
* Torus
* Real projective space
* Complex projective space
* Quaternionic projective space

0-manifolds are created from disjoint unions of 1 or more points, and are classified by their cardinality. Examples of 0-manifolds include the point, the point pair (0D hypersphere), the point triplet, and the natural line (along with other lines constructed from countable sets).

1-manifolds are also known as curves, and they are created from deforming, stretching, or taking disjoint unions of circles or real lines. Examples of 1-manifolds (excluding the aforementioned) include the open interval, circle pair, ellipse, parabola, hyperbola, cubic curve, real projective line, and the long line.

2-manifolds are also known as surfaces. They can be (deformed) subsets of a Euclidean plane, but they do not have to be. Examples of 2-manifolds include the Euclidean plane, hyperbolic plane, open disc, sphere, torus, double torus, real projective plane, Klein bottle, tube, and the Möbius strip.

Examples of 3-manifolds include the Euclidean realm, hyperbolic realm, glome, ditorus, hollow spheritorus, hollow torisphere, open ball, solid torus, and the solid double torus.

Examples of 4-manifolds include the Euclidean flune, hyperbolic flune, tetrasphere, open gongol, exotic flune, solid ditorus, spheritorus, torisphere, tiger, and the fake gongol.
Shkadov thruster

A **Shkadov thruster** or **Class A stellar engine** is a megastructure often built by Type 2.0 and Type 3.0 civilizations used to move stars and solar systems.

## About

A Shkadov thruster is a stellar engine that consists of a massive spherical cap-shaped mirror or lightsail (where the polar angle between rays

θ

{\displaystyle \theta}

 the connecting the center and cap’s apex and circular edge is less than

π
2

{\displaystyle \frac{\pi}{2}}

) surrounding a star such that it balances between gravitational attraction towards the star and radiation pressure away from the star. This creates net thrust in the direction away from the mirror. Depending on the luminosity of the star

L

{\displaystyle L}

 and angle

θ

{\displaystyle \theta}

, the magnitude of the thrust

F

{\displaystyle \mathbf F }

 created by the thruster is

L
(
1
−
cos
⁡
(
θ
)
)

2
c

{\displaystyle \frac{L(1 - \cos (\theta))}{2c}}

 where

c

{\displaystyle c}

 is the speed of massless particles in a vacuum.

Objects orbiting the star such as planets will continue to orbit normally around the star as the star moves.
Secondclassverse

A **secondclassverse** is a verse that is made up of a proper second class of particles or corresponding minimal structures. This means that the second cardinality of the particles or other minimal structures is greater than that of any conglomerateverse (or, considered mathematically, a conglomerate), which means that at a minimum they are equal in second cardinality to the powerconglomerate of the powerclass of the set of ordinals.

## See also

* Classverse
* Conglomerateverse
* Absoluteverse
Quasitruncated hexahedron

A **quasitruncated hexahedron** is a uniform star polyhedron. Its dual is the great triakis octahedron.

In spite of its other name being the **stellated truncated cube**, it is not actually a true stellation of the truncated cube.

Its Bowers acronym is **quith** and its Bowers symbol is ox"x.

## Structure and Sections

### Subfacets

* 24 points (0D)
* 36 line segments (1D)
* 8 triangles (2D)
* 6 octagrams (2D)
* 1 quasitruncated hexahedron (3D)

## See Also

* Polytope Wiki. "Quasitruncated hexahedron".
* Bowers, Jonathan. "Polyhedron Category 2: Truncates".

## References

* http://www.polytope.net/hedrondude/truncates3.htm
Snub disphenoid

A **snub disphenoid** is a polyhedron and deltahedron made of up twelve triangular faces. It is constructed by snubbing a disphenoid.

## Structure and Sections

### Subfacets

* 8 points (0D)
* 18 line segments (1D)
* 14 triangles (2D)
* 1 snub disphenoid

## See Also

s
s
{
2
,
2
}

{\displaystyle ss\{2,2\}}

s
s
{
2
,
4
}

{\displaystyle ss\{2,4\}}

s
s
{
2
,
6
}

{\displaystyle ss\{2,6\}}

s
s
{
2
,
8
}

{\displaystyle ss\{2,8\}}
Pentagonal pyramid

A **pentagonal pyramid** is a three-dimension polyhedron created by taking the pyramid of a pentagon. This makes it the segmentotope between a pentagon and a point.

## Variants

### Iscosceles Pentagonal Pyramid

An iscosceles pentagonal pyramid has the same symmetry as the regular polygonal one, except the triangular faces are isosceles instead of regular. When the edge length of the base is a, and the long edges of the triangles have length b, this gives subfacets (along with their accompanying hypervolumes and subfacets) of

* 10 line segments (1D)
	+ 5 of length a
	+ 5 of length b
* 5 isosceles triangles (2D)
	+ edge length =

	a
	2
	b

	{\displaystyle a + 2b}
	+ surface area =

	1
	2

	a
	h

	{\displaystyle \frac{1}{2}ah}
	+ 3 line segments
		- 1 of length a
		- 2 of length b
* 1 pentagon (2D)
	+ edge length =

	5
	a

	{\displaystyle 5a}
	+ surface area =

	B
	2

	{\displaystyle B^2}
	+ 5 line segments of length a
* 1 iscosceles pentagonal pyramid

The full isosceles pentagonal pyramid itself has hypervolumes of

* edge length =

5
a
5
b

{\displaystyle 5a + 5b}
* surface area =

B
2

5
2

a
h

{\displaystyle B^2 + \frac{5}{2}ah}
* surcell volume =

B
2

h

{\displaystyle B^2 h}

,

where

# h

1
2

4

b
2

−

a
2

{\displaystyle h=\frac{1}{2} \sqrt{4b^2 - a^2 }}

, equal to the height of the pyramid, and

B
2

=

5
4

1

2

5

a
2

{\displaystyle B^2 = \frac{5}{4} \sqrt{1 + \frac{2}{ \sqrt{5} } } a^2}

, equal to the area of the pentagonal base. When a=b, this becomes the regular polygonal variant and the Johnson solid.

## See Also

(
)
∧
{
3
}

{\displaystyle () \wedge \{3\}}

(
)
∧
{
4
}

{\displaystyle () \wedge \{4\}}

(
)
∧
{
5
}

{\displaystyle () \wedge \{5\}}

(
)
∧
{
6
}

{\displaystyle () \wedge \{6\}}
Square pyramid

A **square pyramid** is a three-dimensional polytope constructed by taking the pyramid of a square. It is also the segmentotope between a square and a point. Its Bowers' acronym is **squippy**.

## See Also

(
)
∧
{
3
}

{\displaystyle () \wedge \{3\}}

(
)
∧
{
4
}

{\displaystyle () \wedge \{4\}}

(
)
∧
{
5
}

{\displaystyle () \wedge \{5\}}

(
)
∧
{
6
}

{\displaystyle () \wedge \{6\}}
Rhombic dodecahedron

A **rhombic dodecahedron** is a variation on the standard dodecahedron. The only difference is that the faces are rhombic instead of pentagonal, hence, its name. The standard rhombic dodecahedron is made out of rhombi that have diagonal lengths of 1, and √2. There is also a bilinski rhombic dodecahedron, with diagonal lengths of 1, and the golden ratio

ϕ

{\displaystyle \phi}

.
Specific energy

**Specific energy** is the energy per unit mass of an energy source. It can be used as a measure of how efficient the energy storage is.

## In Force Field

The specific energy of an object in a force field, also known as the specific potential energy, is given by the potential energy divided by the mass of the object.

For a gravitational field, because the potential energy is proportional to mass , the specific energy is independant of mass and equal to

−
G
M

r

{\displaystyle \frac{-GM}{r}}

.

## Values

(J kg-1)
 Uranium
 1H → 4He
 1H → 26Fe
 Antimatter
Pi

**Pi** is a mathematical constant and real number equal to the ratio between a circle's circumference and its diameter in the Euclidean norm. It occurs in many contexts, and the precise definition depends on the situation; often, it is convenient to define it as the absolute value of half the period of the complex exponential.

## Formulae

Pi can be written with multiple formulae, many of which can be truncated to allow pi to be approximated to arbitrary precision. One of the best known formulae is the Chudnovsky formula, written as

1
π

=

12

640320

3

/

2

∑

# k
0

∞

(
6
k
)
!
(
13591409
545140134
k
)

(
3
k
)
!
(
k
!

)
3

(
−
640320

)

3
k

{\displaystyle \displaystyle \frac{1}{\pi} = \frac{12}{640320^{3/2}} \sum\_{k=0}^\infty \frac{(6k)! (13591409 + 545140134k)}{(3k)!(k!)^3 (-640320)^{3k}}}

, which can give fourteen correct digits of pi per term.

## Information

Pi has been in use for thousands of years. Ancient Chinese, Egyptians and Babylonians had uses for Pi.

## Trivia

* This page was created on March 14 2018, **Pi day**.

## References

1. ↑ https://www.exploratorium.edu/pi/history-of-pi
Planet

Earth

A **planet**  is an astronomical body in a hydrostatic equilibrium orbiting a star or stellar remnant that is massive enough to be rounded by its own gravity, is not massive enough to cause thermonuclear fusion, and has cleared its neighbouring region of planetesimals and is not massive enough to undergo nuclear fusion. Typically they orbit a star in a Solar System, or other stars, though they can also be found in the interstellar medium.

They can be either rocky or gaseous in composition. The former are called terrestrial, or rocky planets; the latter are called jovian, or gaseous planets.

A civilization that uses power equal to its planet's input from solar radiation (roughly 1016 watts for Earth), or fully controls the available resources on a planet, is called a Type 1.0 Civilization.