recursal/Fanatic-Fandom huggingface dataset:
Pointing

## Chvatal graph

File:Chvatal graph.jpg|thumb|220x220px

There are two kind of vertices in the Chvatal graph (left), 12=4+8. When it comes to labeling, the two graphs are equivalent because they have the same symmetry.

C
h
v
a
t
a
l
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X
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=

X
7

⋅

Y
4

Y
⋅

E
2

(

X
4

⋅
Y
)

{\displaystyle {Chvatal(X,Y) \over X+Y} = X^7 \cdot Y^4 + Y \cdot E\_2(X^4\cdot Y)}

## Prism over faces

File:Triangular prism.png|thumb|144x144px
T = triangles
S = squares

P
r
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=
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C
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{\displaystyle {Prism (T,S) \over T+S} = T \cdot C\_3(S) + S \cdot E\_2(T\cdot S)}

## Cube

The cube is a nice example of multi-sort species, while it has 26 elements : 8 vertices, 12 edges and 6 faces. There are 24 rotations that move edges to edges, vertices onto vertices and faces to faces.

therefore there are three sorts of items actioned by the very same abstract group. Seen as a permutation group, we have a degree 26 and order 24 permutation group which is not transitive but it has three blocks of transitivity.

C
u
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=
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{\displaystyle {Cube (V,E,F) \over V+E+F }= V\cdot C\_3( V^2\cdot E^4\cdot F^2 ) + E\cdot C\_2( V^4\cdot E^5\cdot F^3) + F\cdot C\_4( V^2\cdot E^3\cdot F )}

Aceasta ecua?ie poate fi citita astfel :

Factorizând prin **V = M = F** (folosind un singur sort de etichete, în loc de trei) se ob?ine ecua?ia cubului cum a fost descrisa într-unul din exemplele de mai sus.

Grupul stabilizator al unei specii multisort nu este tranzitiv ci are mai multe orbite - câte una pentru fiecare sort.
(Familia de Kyno) Ilina

## Ilina 2 esposa

### Familiares

Marido: Lucius MoonHermanas; Cinta y JosefinaHijo: CayoNietos; Raphael y AlvaConocidas; Selena

## Descripción física

### Género

Femenino

Alta,esbelta,pelo largo ondulado blanco y ojos castaños.

Ilina es una mujer, que hasta hoy en dia usa vestidos de la edpoca de la edad media y moderna.

Quiere mucho sus hijos, a sus nietos,sobrinos, y los hijos de su esposo con otras mujeres.

Pero con Nafeure tiene muchas cosas en comun, pero con los hijos de Nafeure se preucupa como sifueran sus propios hijos.

Porque Ilina crio a Helen y a D como sus hijos.
Dennis

* Dennis
* Dennis (Passenger)

> "*Finally, paved roads!*"
> ― Dennis
>
>

**Dennis** is a civilian character who was introduced in S03E01.

## ***Biography***

### **S03E01**

Dennis drives in Utah and is relieved that he finally reached an area with paved roads. Later on the highway, a Gavril H35 on Dan's truck catches on the lip of a tunnel and falls onto the road, causing a pileup. Dennis screeched to a halt and was clipped by a BMW being pushed by a box truck. He survived.

## Dennis

### Gender

Male

> "*Anything would be better than this junker.*"
> ― Dennis
>
>

**Dennis** was a civilian character who was introduced in S02E02.

## ***Biography***

### **S02E02**

Jefferson and Dennis leave their house in Roane County, Tennessee. Jefferson comments that he should sell the car. Dennis asked if he given up on fixing the car already. Jefferson replied that he doesn't have time to fix it. Jefferson said that he should buy a Toyota and be done with making project cars. Dennis replied that anything would be better than the piece of junk that they were in. Later on at the freeway, Jefferson's hood pops up and blinds him. Jefferson flips and rolls over into several oncoming cars. Jefferson's car rests on its roof until a camo ETK 6000-Series crushes the car. Dennis didn't make it.
Transitivity

## **Stick-stuck approach**

* Sets : Stick one stuck none {X,X,.....,X}
* 15-puzzle : Stick one stuck none
* Rotation polyhedra : Stick-1-stuck-1
* Rukik's edges: Stick-1-stuck-2
* Rukik's corners : Stick-1-stuck-3
* Groups, Cycles, Cylinders : Stick-1-stuck-ALL (X,X,X,X,...,X)
* Fields and geometrical lines : Stick-2-stuck-ALL
* Projective lines : Stick-3-stuck-ALL

## **The spectrum of species**

Applies to almost any power series of enumeration, which is a more basic concept than this one. Even so, I don't think the table adds anything. There are three examples above (sets, permutations, pairs), which seem adequate. **AR**
## **Carmichael 1937**

*Every possible algebra A[s] is an algebra A[pn] defined as in $102, by means of a doubly transitive group of prime-power degree pn and order pn(pn-1), while, conversely, such a doubly transitive group is induced by the totality of transformations of the form (2) on the marks of such an algebra.*

Carmichael, Groups of finite order, 1937, page 401

There is a deep identity between

1) **doubly transitive groups**, in which **two points** determine the entire permutation
2) **algebras** (which are here not necessarily commutative fields), that have **O and 1**
3) **geometrical lines**, determined by **two points** and getting coordinates by field numbers.
The Carmichael connection is absolutely natural, given two subgroups - the translations and the rotations in a doubly transitive group.

Using the species notations, we have **F" = X.X....X. Stick two, stuck all**.
Marks Tables

## multiplication table 4×4

**K4** = alt( **2(2)** )

**C3** = alt( **3** )

**2(1∙1)** = alt( **C4** )

**2(1∙1)** = alt( **2.2** )

**1∙1∙1∙1** = alt( **1∙1∙2** )

The table of marks for the symmetric group *S3*:

## the marks of S4

(from Naugton 2013)

The permutations of a *normal* subgroup H fixes all cosets σH; The normals subgroups of **S4** are visible above: **S4**,**A4**, Klein and Id.
Total Drama Murders Season 2

## Overview

10 years after the events of the island, the only survivor decides to bring back the island for the shoot of long planned series. However the darkest skeletons of the island get released.

The series is succeeded by season 3, Total Drama Murders Season 3

## Episodes

See also: List of Total Drama Murders Season 2 episodes
This season consists of eight episodes.

## Availability

### YouTube

The show is available on YouTube, on the channel of iDaveCamps
https://www.youtube.com/playlist?list=PLdBliyaBIHvuqoOR2ek3D5HbUW3AAJ0Si

## See also

Total Drama Murders

Total Drama Murders: Escape The Night 2
Total Drama Murders: Escape The Night 2

The Cast

## Overview

The night isn't over yet...

Drop the anchor! Season 2 of Total Drama Murders: Escape The Night takes 10 teens that don't suspect anything right on board of a ship that heads to the World War II era of the 1940s! With the tragic events of the past forgotten, will the characters be able to fight back the mysterious and odd events that take place during the wild sailing.

This season is also the last of the TD Murders and Escape the Night franchise.

## Episodes

See also: List of Total Drama Murders: Escape The Night 2 episodes
This season consists of ten episodes.

## Availability

### YouTube

The show is available on YouTube, on the channel of iDaveCamps

## See also

Total Drama Murders- Escape The Night 2 -- Episode 1 "A ship of death’’
* Total Drama Murders: Escape The Night
* Season 2 Playlist!
Coupons

## Coupon collector's problem without replacement'

### the Roger Blazey's problem

"Consider a well shuffled pack of playing cards from a 52 card standard pack. Now on drawing out 1 card at a time and exposing each card at the moment of withdrawal....ON AVERAGE how many cards would you need to draw from the pack in order to obtain at least 1 card from each suit?

### **the David Radcliff's solution**

The expected number of cards drawn is 52\*p, where p is the probability that any particular card is drawn. To be definite, let's say that p is the probability that the Ace of Spaces is drawn.

There are four events such that the Ace of Spades (AS) is drawn:

E1 = AS is the first spade in the deck.
E2 = AS comes before all hearts in the deck.
E3 = AS comes before all clubs in the deck.
E4 = AS comes before all clubs in the deck.
We use the law of inclusion-exclusion to find the probability. This requires finding the probability of each event E\_i and the probabilities of the intersections of the E\_i.

P(E1) = 1/13
P(E2) = P(E3) = P(E4) = 1/14
P(E1 E2) = P(E1 E3) = P(E1 E4) = 1/26
P(E2 E3) = P(E2 E4) = P(E3 E4) = 1/27
P(E1 E2 E3) = P(E1 E2 E4) = P(E1 E3 E4) = 1/39
P(E2 E3 E4) = 1/40
P(E1 E2 E3 E4) = 1/52

# p
(

1
13

3
14

−

3
26

−

3
27

3
39

1
40

−

1
52

# )

4829
32760

{\displaystyle p = ( \frac 1 {13} + \frac 3 {14} - \frac 3 {26} - \frac 3 {27} + \frac 3 {39} + \frac 1 {40} - \frac 1 {52}) = \frac {4829} {32760} }

So the expected number of cards is 52 \* p = 4829 / 630 = 7.665 (approx).

If there are n cards in each suit then the expected number of draws is
(5n+1)(10n^2+5n+1) / [(n+1)(2n+1)(3n+1)]
which approaches 25/3 in the limit.
Conjecture: Suppose that a deck of cards has n\*k cards in k suits, with n cards in each suit. The deck is shuffled and the cards are turned over, one by one, until all k suits have appeared at least once. Then the expected number of cards that must be turned over is given by the following formula.

(
k
.
n
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−

k
!
.

n
k

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{\displaystyle (k.n+1) - \frac {k!.n^k} {(n+1)(2n+1)...((k-1)n+1)}}

### Using Species

The describing species of a deck is

[
l
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i
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{\displaystyle [lin.lin (Y+Z+T) - lin.lin(Y+Z) - lin.lin(Y+T) - lin.lin(Z+T) }

l
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.
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{\displaystyle + lin.lin(Y) + lin.lin(Z) + lin.lin(T) -1]}

.
X
.
l
i
n
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X
Y
Z
T
)

{\displaystyle .X.lin(X+Y+Z+T)}

We have to compare these structures to

[
l
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−
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−
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−
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{\displaystyle [lin (Y+Z+T) - lin(Y+Z) - lin(Y+T) - lin(Z+T) }

l
i
n
(
Y
)
l
i
n
(
Z
)
l
i
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1
]

{\displaystyle + lin(Y) + lin(Z) + lin(T) -1]}

.
X
.
l
i
n
(
X
Y
Z
T
)

{\displaystyle .X.lin(X+Y+Z+T)}

For each structure of the second kind, there are L structures of the first kind, where L is the length of the initial segment, encoded in Lin.Lin part of formula. By dividing the coefficients of x13.y13.z13.t13 we get the average length.
Dominic

The Greaser

**Dominic Vazquez**, nicknamed *The Greaser,* is a character from Season 2 of Total Drama Murders: Escape the Night

## Quotes

***Episode 1 - Welcome Aboard***

* "Sup, name's Dominic Vazquez. I'm 21 not that you need to know that, since you don't deserve to be near me, I come from New York in the Bronx, if you need to know me then don't cause you'll never be as good as me, but if you must know, I am the best, the strongest, smartest, and will always beat you at everything, well of course unless it's sucking or being ugly, I am a Greaser and my biggest fear? What fears? I guess...hmm my mother dying, I guess she's my rock and I'll always put her first."

***Episode 2 - The Cephalapodic Slaughter***

* "Meg, you might wanna calm down."
* "I'm not gonna lie, I miss the internet, I had a nice history...if you know what I mean."
* "Some of the people here are kinda annoying, and it's just a fact."

***Episode 3 - Phantoms of the Lost Ship***

* "We need to get out of here now, even if I have to sacrifice one of them, it won't be me!"
* "Alright...put in..."
* "Besides us dying, I dunno what do you think?"

**Episode 4 - Fata Morgana**

* "What are we going to do if not roll it? Just stay out here for the rest of our lives?"
* "He actually did- I-"
* "I won't lie if I didn't say, I didn't catch a bit of feelings for you myself."
* "...Uh I guess we lost the monsters"
* "I don't care who you choose, just please don't choose Gavin."

***Episode 5 - Chimera***

* "Who the fuck is Tabitha?"

***Episode 6 - Rotten Roses***

* "Monique, do you really want to do this all over again?"

***Episode 7 - Azure & New Dawn***

* "Oh, what do you mean by here then...?"
* "Well..."
* "LEAVE HER ALONE!!!"

***Episode 8 - Devil-May-Care***

* "Tabitha was dead? Well for a dead bitch...well...hot as fuck"

## Gallery

Dominic's voting cardDominic boards the shipDominic when he was a kid
## Trivia

* He is the only member of the final 6 to not roll the dice.
* Dominic might be bisexual. He kissed Gavin in episode 4 and flirted with Tabitha in episode 8
* Dominic is one of two people never to be put in a trial, the other being Janelle
Total Drama Murders Season 3

## Overview

A group of 7 was on a trip to Australia but ended up stranded on an island. But nobody knows what the island’s history and they are in for a deadly surprise

The series is succeeded by season 4, Total Drama Murders: Escape The Night

## Episodes

See also: List of Total Drama Murders Season 3 episodes
This season consists of eight episodes.

## Availability

### YouTube

The show is available on YouTube, on the channel of iDaveCamps
https://www.youtube.com/playlist?list=PLdBliyaBIHvuqoOR2ek3D5HbUW3AAJ0Si

## See also

Total Drama Murders

Total Drama Murders: Escape The Night 2
Barney

> "*God, that was close!*"
> ― Barney
>
>

**Barney** is a civilian character who was introduced in S02E09.

## ***Biography***

### **S02E09**

Barney departs the lodge in Tellude. Later on the freeway, Simon flips over and blocks the freeway, causing a massive pile-up. Barney slows down just in time and skids to join Peter, Victor and Summer in honking and flashing his high beams at oncoming drivers to prevent them from crashing into the pileup until the carnage settles down.
Justin

> "*Yeah I'm on my way. Don't start the party without me!*"
> ― Justin
>
>

**Justin** was a civilian character who was introduced in S02E01.

## ***Biography***

### **S02E01**

Justin leaves his house and starts driving to a party in East Coast, USA. Later on at a forked intersection, Justin gets crushed by three trucks. He died instantly.
Kaspar

> "*I love this car!*"
> ― Kaspar in German
>
>

**Kaspar** was a German civilian character who was introduced in S02E08.

## ***Biography***

### **S02E08**

In the snowy area of the German Alps, Kaspar drifts around the roundabout. Later on the highway, Kaspar recklessly overtakes several cars as he speeds through the tunnel. Later on, Alma switches to the left lane where Kaspar honks his horn as he flips on a guard rail and crashes into a tree. Alma gets hit by Kaspar's tumbling car. This causes a pileup at the exit of the tunnel that claims eight lives. Kaspar didn't survive. If he hadn't been speeding in heavy traffic, the accident wouldn't have happened.
The Kraken

Monster

**The Kraken,** was a character from Total Drama Murders: Escape The Night 2. He was the first monster that the guests has to face and is the guardian of the first Totems

## Role

### **Season 5**

#### ***Episode 1 - Welcome Aboard***

In ***Welcome Aboard,***The Kraken shortly appears once Topher rolled the dice.

#### ***Episode 2 - The Cephalopodic Slaughter***

In ***The Cephalopodic Slaughter,*** The Kraken has damaged the ship, forcing the guests to fix the ship. Shortly after, it’s tentacles broke through the cabin, flooding the entire cabin and capturing Jen and all the guests in the cabin. Meanwhile, Dominic and Meg are on the deck, Dominic protected Meg from being captured by the Kraken. Afterwards, the Kraken told all 10 guests that they have failed to saved the ship and required a sacrifice to save the ship. After the guests has voted which 2 to enter the trial, The Kraken told Jen and Ryan to search for a special item in the water in order to emerge victorious for this trial. Once Ryan found the bottle, it tells Ryan that he is the victor of the trial, leaving Jen to be eaten by a shark. Finally, he tells Ryan to keep the bottle, leaving the Kraken totem and disappears into the Night.
Sudoku

2808845 - A question about the definition of species : Sudoku

https://math.stackexchange.com/questions/172401/a-question-about-the-definition-of-species/2808845#2808845

Q

A species F is defined as an endofunctor of the category of finite sets. What if our combinatorial structure is not defined for sets of arbitrary size. More precisely, can we define a species from a subcategory of finite sets? For example, the species of Sudoko puzzles.

A

The combinatoric point of view is that the theory is about labelled structures. In the case of Sudoku, unfortunately, we only have 9 labels to label something (even they are repeating).

If we consider that by relabeling eg we interchange 1 and 2 in a Sudoku puzzle we got the same Sudoku, the species is somebignumber.Ens9 i.e. a large number of copies of the set {1,2,3,4,5,6,7,8,9} with 9 elements - and nothing else.

If we consider that relabeling produces different Sudoku's, the species is samebignumber×9!×Lin9, i.e. a large number of copies of all 123456789 like sequences.
Ferroponsid

**Ferroponsid** entsteht bei der Transmutation von reinem Eisen mit Pontium. Es ist ein rötliches Pulver, welches von den Martis für alchemische Zwecke verwendet wird.

Ferroponsid ist leicht zu bändigen und setzt bereits bei wenig Aufwand große Kräfte frei, weshalb es, in Verbindung mit seiner Häufigkeit, bei Alchemisten sehr beliebt ist. Offensiv eingesetzt lassen sich Feuerbrünste und Explosionen erzeugen, die selbst mächtige Gegner in die Knie zwingen kann. Doch auch als Mittel der Verteidigung wird es häufig verwendet. Mittels Ferroponsid lassen sich Gegenstände nachhaltig abhärten und widerstandsfähig gegenüber äußeren Einwirkungen machen.

Aufgrund dieser Eigenschaften wird der Stoff primär für militärische Zwecke und kriegerische Auseinandersetzungen verwendet.
Daniel

**Daniel**, nicknamed *The Lord*, is a character from Season 1 of Total Drama Murders: Escape the Night

## Role

### **Season 1**

#### ***Episode 1 - A Party to Remember***

Dan invited 8 special guest to his dinner party.

#### ***Episode 8 - The Sleeping Arachnid***

Dan spends most of the episode unconscious due to the spider bite. Fortunately, he was cured at the last second by Tabitha and Kylie.

## Quotes

* "Auntie"
* Come on Kylie, let's ride away!"
* "Miss...Vanjie!”

## Trivia

* Dan, as of season 2, has the 2nd most amount of trials attended.
* In the episode ***Who's In Control***, Dan appears to be a fan of Rupaul's Drag Race.
Total Drama Murders: Escape The Night

The Cast

## Overview

The Total Drama series of a popular YouTube show Escape The Night. A group of 9 are invited to a mysterious party in Transylvania. They don't even suspect that the party is only the beginning of odd events that will take place.
This also serves as a sequel to Total Drama Murders series, which ended abruptly in season 3, leaving so many questions unanswered.

The series is succeeded by season 2, Total Drama Murders: Escape The Night 2

## Episodes

See also: List of Total Drama Murders: Escape The Night episodes
This season consists of eleven episodes.

## Availability

### YouTube

The show is available on YouTube, on the channel of iDaveCamps

https://www.youtube.com/playlist?list=PLdBliyaBIHvuqoOR2ek3D5HbUW3AAJ0Si

## See also

Total Drama Murders

Total Drama Murders: Escape The Night 2
TDM: Escape The Night Wiki

**Welcome to the TDM: Escape The Night Wiki!**
We're just getting started!

Total Drama Murders: Escape The Night

## Important articles

PlaceholderTotal Drama Murders: Escape The NightPlaceholderTotal Drama Murders: Escape The Night 2PlaceholderList of Total Drama Murders: Escape The Night episodes

*Need help building out this community?*

* Getting Started
* How to Contribute
* Managing your new community
* Guides
* All Help articles

You can also be part of the larger Fandom family of communities. Visit Fandom's Community Central!
Elizabeth

**Elizabeth,** , also known was **Heather** is a character from Total Drama Murders & Total Drama Murders: Escape The Night.

She was the secondary antagonist of the Total Drama Murders Franchise. She is the main antagonist of both Season 1 and 2 of Total Drama Murders and Total Drama Murders: Escape The Night (Season 4) and is responsible for most of the unfortunate events in the franchise.

She was also a villain turned hero in Total Drama Murders Season 3 and managed to revived all the people she has killed in the first 3 seasons. However, she soon reverted back to her old evil ways and tried to sacafice the guests in Season 4.
Jen

The Nurse

**Jen Martinez,** nicknamed, *The Nurse,* appeared on Season 2 of Total Drama Murders: Escape The Night.

She received an invitation to board a ship in Post WWII era. She's 19 years old and was born and raised in a small town in Pennsylvania, but has lived in the Big Apple for the past year, where she is doing well.

### **Season 5**

#### ***Episode 1 - Welcome Aboard***

In ***Welcome Aboard,***Jen arrives on the ship and starts getting to know the passengers. After a while, Jen gathers everyone into a room. She shows a black box that Monique and her found behind the coffins. She opens it up to find a board game and asks who wants to go first, which Topher gladly accepts. After rolling, Jen and Topher are confused where the rest of the game pieces are. Jeremiah comes out and tells them they have no idea what they unleashed, then vanishes.

#### ***Episode 2 - The Cephalopodic Slaughter***

In ***The Cephalopodic Slaughter,*** Jen states they need equipment to fix the ship. She states she fixes people, not vehicles. Zane finds the nails all over the floor and Jen tells him she hopes he didn't threw them. After failing to fix up the ship, she questions Zane's real age when he says he's 19. After getting distracted, Jen gets snatched by a tentacle. She and the rest of the group get teleported back to the deck, trying to figure out what is going on. The Kraken then told them that they have to send to people to a death trial after failing to save the ship. After the voting, it is revealed Jen is going in along with Ryan. She is shocked and is in need of a smoke. After much confusion and frustration, she works with Ryan to find the special item they are after. She finds and grabs it, her hands get stuck in some rocks. Ryan comes over and takes the bottle and leave her to die. After Ryan gets back on the ship, a shark comes by and eats Jen, letting out screams as she is eaten and her limps float to the top of the water.

## Quotes

***Episode 1 - Welcome Aboard***

* "Hey there, I'm Jen Martinez. I was born and raised in a small town in Pennsylvania, but I've lived in the Big Apple for the past year. One thing I've learned working in the Big Apple is that balance is the key, and I've always been good at excelling in my career and social life."
* "Guys! Get over here! There's something you need see!"

***Episode 2 - The Cephalopodic Slaughter***

* "We need equipment to fix the ship!"
* "As a nurse, I fix people, not vehicles. So this should be interesting."
* "Oh my god, kid! This is not helping!!!"
* "Totally not 19! But I'll leave questioning his age to the bartenders"
* "I cannot...I cannot...the audacity of these children to vote me in to die? Ugh! I need a smoke break"
* "Huh, what is going on?"

## Trivia

* Due to only appearing in 2 episodes, Jen has the least amount of lines of the contestants in season 2.
Rory

> "*Well finally...*"
> ― Rory
>
>

**Rory** was a truck driver who was introduced in S02E04.

## ***Biography***

### **S02E04**

Rory hauls a tanker trailer filled with fuel along the road in Bumpy Island. Later on, there was some roadwork going on at the road that Rory was driving along. The traffic light switched to red and he stopped. Meanwhile up the mountain, Jonathan begins to pull Mark's truck up the hill, however the chain snaps and Mark slides down the hill. The tanker trailer dangles off a cliff. Mark was relieved his truck did not go over the cliff. The traffic lights on Rory's side switched to green and Rory drives around the roadworks. Back up the mountain, the tanker trailer detaches from Mark's truck and tumbles down the mountain. The trailer tumbles until it crashes into Rory's truck and his tanker trailer explodes. Rory was killed instantly.
Total Drama Murders Season 1

## Overview

The starter point of mysterious and thrilling series. A large group of people is invited to an island for shooting a show, but things escalate pretty quickly bringing to more questions, rather than answers.

The series is succeeded by season 2, Total Drama Murders Season 2

## Episodes

See also: List of Total Drama Murders Season 1 episodes
This season consists of eight episodes.

## Availability

### YouTube

The show is available on YouTube, on the channel of iDaveCamps https://www.youtube.com/playlist?list=PLdBliyaBIHvuqoOR2ek3D5HbUW3AAJ0Si

## See also

Total Drama Murders

Total Drama Murders: Escape The Night 2
Max

* Max
* Max (Roamer)

> "*I'll call you later. Bye.*"
> ― Max
>
>

**Max** is a civilian character who was introduced in S01E06.

## ***Biography***

### **S01E06**

Max and his friend Leo drive in Utah. Leo spots a red Ibishu Hopper parked at a construction site and decides to steal it while Max watches his back. Leo unlocks the Hopper and tells Max he'll call him later and Max drives away.

### **S01E09**

Max was calling someone later as he gets into his truck and leaves the auto shop in Cascadia. Meanwhile, Hugo gets in his truck to go to work. He backs out of his driveway until he hits a steam roller. The steam roller goes down hill and crashes into a few cars and a bus. Max loses control and crashes into the bus followed by a school bus crashing into Max and sandwiching him. He was injured but survived.

## Max

### Gender

Male

> "*It's a dead end.*"
> ― Max
>
>

**Max** was a civilian character who was introduced in S01E05.

## ***Biography***

### **S01E05**

Max and his wife drive along a road in Altitude. Jimmy knocks Luke's bulldozer down the mountain. The bulldozer crushes Max's Roamer, killing him and his wife instantly.
Camille

The baroness

**Camille,** nicknamed *The Baroness,* was a character from Season 1 of Total Drama Murders: Escape The Night.

## Role

### **Season 1**

#### ***Episode 1 - A Party To Remember***

Camille was joined along with 8 other guest to Dan's dinner party. Camille appears on scene insulting Beth about her role. Camille approaches Caroline claiming she doesn't know anyone or even why their invited to the dinner party at the castle.

#### ***Episode 10 - Immortal***

It is revealed that Camille went with her dad to pick up the survivors on Wawanakwa Island. Including Elizabeth. While asleep, Elizabeth did something to Camille that made her loyal to the former.

## Quotes

* "Alright Alvin, don't get your panties in a twist."
* "I know, role playing isnt my thing."

* "Who the fuck voted Kylie?!"
* "She probably pissed her dress in fear from all this haunted chaos."
* "My...my parents?"
* "I want you to win."
* "Hope you like pain cause I can't wait to watch you bleed the most."
* "Tonight marks a very important ceremony."
* "Nooo!!! You imbecile!"
* "Our fantasy is now your reality..."
* "Hands off the merchandise first or I'll push you in!"
* "Cause now the end comes."

## Trivia

* Camille is the first guest to arrive in the castle.
* Camille is the first guest to sacrifice herself this season.
	+ Although it was revealed in episode 8 that she never died to begin with
* Camille was the traitor this season
* Camille might've won best dress in a public poll this season.
* In the episode ***Room For 5***, Camille mention looking for a book called "*How To Get Away With Murder*" in the library with Kylie.
Vereintes Kaiserreich von Patria

Das Kaiserreich dominiert den östlichen Kontinent Patria

Das **Vereinte Kaiserreich von Patria**, meist **Vereintes Kaiserreich** oder **Kaiserreich** genannt, ist ein Zusammenschluss zahlreicher Fürstentümer, Kleinkönigreiche und Familienclans in Zentralpatria. Es ist die größte politische Verbindung auf der bekannten Welt. Aufgrund ihrer Größe ist das Kaiserreich sehr dezentralisiert und die einzelnen Organe besitzen eine große Unabhängigkeit.
Orden der eisernen Rose

Der **Orden der eisernen Rose** ist ein Zusammenschluss von mächtigen Adelsfamilien aus Ambadale, der die Führung der Küstenmetropole inne hat. Seit über fünfzig Jahren wird der Orden vom Haus Ferrester dominiert, die mit Janos II Ferrester auch den amtierenden Herren von Ambadale stellen. Der Orden der eisernen Rose kontrolliert de facto auch die Germanitas Martis, auch wenn diese offiziell unabhängig ist.
Cuproponsid

**Cuproponsid** entsteht bei der Transmutation von reinem Kupfer mit Pontium. Es ist ein rotbraunes Pulver, welches von den Veneris für alchemische Zwecke verwendet wird.

Das Pulver dient in der Alchemie zur Verbesserung der optischen Schönheit und Gesundheit. Darüber hinaus kann es aphrodisierende und fruchtbarkeitssteigernde Effekte haben, weshalb man es häufig im roten Milieu antrifft. Geschickt eingesetzt kann Cuproponsid der Täuschung und Manipulation der Mitmenschen dienen.
Season 2

That1Duck

Season 1 Eventually Ended After The Shortest Episode. Jeremiah Plays Again Had Caught Attention Of Peter's Animations. Peter Allowed Jeremiah To Make Episodes For The Show. However Due To Being Inexperienced, Jeremiah's Episodes Sucked. He Also Introduced A Much Hated Character, Susie. The Show Was Suddenly Crawling With Copyrighted Characters, And The Show Became Very Stupid.

## Episode List

1. Cook Battle
2. Meet Roboy
3. Roboy Robs The Bank
4. Vince's News
5. The Trouble With Females
6. Mail
7. Nothing
8. There's A Duck In My House!
9. Boredomm
10. Peter Goes To Space
11. Astral Birth Void
12. Letters From The Past And Future
13. The True Shortest Episode Ever
14. What Could I Call This Episode?
15. Peter Tries Gachalife
16. Creature Feature
17. Oh Smack, Old Potato's Back
18. Peter Tries Blocksworld
19. PeterTries Anitales
20. This Show Sucks Now
21. Flashback To 2009
22. Abyss Face Kills Joe
23. You Spin Me!
24. The End (Of Season 2)
Asby

**Asby** (*kurz für Alchemic Steam Bot*) ist ein Dienstroboter, der von Professor Clover mittels Nekroalchemie zum Leben erweckt wurde.

## Lebenslauf

Asby wurde von Professor Clover, einem renommierten Alchemisten des Ordens der Eisernen Rose, erschaffen. Er brachte Asby alles bei, was er wusste, und stattete ihn zudem mit guten Manieren und Umgangsformen aus.

Da der Professor seit langer Zeit an einer unheilbaren Krankheit litt, die ihm starke Qualen bescherte, bat er Asby schließlich darum, ihn zu töten. Zuvor jedoch gab Clover ihm noch einen letzten Auftrag:

> "Das Einzige, das ich bereue, ist, dass ich in meinem Leben die Ungerechtigkeiten dieser Welt nicht bekämpft habe. Nun bin ich zu krank und zu schwach um noch viel zu bewegen. Daher wirst du diese Aufgabe erben, Asby.
>
>

> Begib dich zunächst zu den Minen. Jeder Mensch, der dort deine Hilfe braucht, soll sie auch bekommen. Wenn du dort jedem geholfen hast, der um Hilfe bat, ziehe weiter durch die Stadt, stets auf der Suche nach weiteren Hilfsbedürftigen. Solange du lebst, Asby, wirst du den Menschen dienen, die nach deiner Unterstützung verlangen..."
>
>

Im Laufe dieser Mission stieß Asby auf die Spelunkin Mama Marge, die sich des nun führungslosen Roboters annahm. Seitdem bewohnt dieser mit ihr das Gaslight in Southport.

## Persönlichkeit

Asby ist kindlich, neugierig und – damit einhergehend – auch sehr ehrlich. Übermäßig hilfsbereit, gerät er mitunter in Situationen, in denen er ausgenutzt oder dazu angestiftet wird, Dinge zu tun, die nicht im Interesse seines Schöpfers waren. Da er Probleme stets sehr logisch betrachtet, ist er zudem nicht in der Lage, menschliche Konflikte zu verstehen.

Des Weiteren ist Asby trotz seiner offenen und fröhlichen Grundeinstellung seit dem Tod seines "Vaters" innerlich sehr einsam und wünscht sich nichts sehnlicher, als jemanden zu finden, der für ihn einen neuen Vater darstellt.
Stannoponsid

**Stannoponsid** entsteht bei der Transmutation von reinem Zinn mit Pontium. Es ist ein gräuliches Pulver, welches von den Iovis für alchemische Zwecke verwendet wird.

Richtig eingesetzt kann Stannoponsid den Geist erweitern und dabei helfen, neue Ebenen des Bewusstseins zu erlangen. Die Germanitas Iovis nutzt es für die Sammlung und Verbreitung von Wissen und Fortschritt. Es wird vor allem in der Wissenschaft und Forschung eingesetzt.
Germanitas Mercurii

Die **Germanitas Mercurii**, meist kurz als **Mercurii** bezeichnet, ist eine der Sieben Bruderschaften, die sich dem Planetenmetall Quecksilber verschrieben hat. Wie das Metall selber ist auch die Bruderschaft nur sehr spärlich vertreten und hält sich in der Regel im Schatten. Ihrem Hauptsitz haben sie auf der Insel Sere, die auch als Toteninsel bezeichnet wird.
Ambadale

**Ambadale** ist eine unabhängige Hafenmetropole im Südosten des Kontinents Patria an der Küste des westlichen Meeres. Landseitig ist die Stadt von hohen Bergen umgeben, was ihr in der Vergangenheit Sicherheit vor feindlichen Aggressionen gab. In diesen Bergen befinden sich zudem hohe Eisenaufkommen, die der Stadt zu Wohlstand verhalfen. In Ambadale befindet sich der Hauptsitz der Germanitas Martis.

## Stadtteile

Die Kernstadt Ambadales unterteilt sich in zwölf Stadtteile.

### Altstadt

Die Altstadt ist, wie der Name vermuten lässt, der älteste Teil der Ambadales. Hier finden sich historische Gebäude, sowie zahlreiche Theater, Restaurants und Hotels.

### Iron Hill

Auf Iron Hill, einem schwarzen Berg inmitten der Stadt, befindet sich die Rosenburg, Sitz der eisernen Rose und Regierungssitz der Stadt.

### Amberdale Port

Die Hafenregion südlich des Amba ist als Amberdale Port bekannt. Neben zahlreichen Industrieanlegern und Luftschiffhäfen befinden sich hier auf die größten Verkehrsknotenpunkte.

### Riverview

Riverview, die Ufergegend nördlich des Amba, ist der wohlhabendste Teil der Stadt.

### Goldgate

Goldgate ist der Name der nördlichen Hafenregion. Hier befinden sich die Privathäfen der Reichen und Mächtigen.

### Martis

Dieser Stadtteil ist nach der gleichnamigen Bruderschaft benannt. Hier befindet sich der Rote Turm, ihr Hauptquartier.

### Der Drache

Der Drache trägt seinen Namen, weil er buchstäblich Feuer spuckt. Hier finden sich viele Fabriken, Werkstätten und Kraftwerke.

### Das Loch

Das Loch ist das elendigste Viertel Ambadales. Neben Tagelöhnern und Fabrikarbeitern fristen hier auch zahlreiche Sklaven ihr karges Dasein.

### Southport

Southport ist eine weitläufige Landschaft aus baufälligen Wohnkomplexen. Es ist der belebteste und berüchtigste Teil der Stadt, von dem es heißt, dass man hier an alles gelangen könnte – wenn man nur weiß wie.

### Fortyfire

Fortyfire, Heimat des ewigen Lichts, trägt seinen Namen aufgrund der zahlreiche Kokereien, die sich hier finden und Tag und Nacht die Kohle weiterverarbeiten, die aus dem Grad von Ambadale geschlagen werden.

### Teelten und Newten

Teelten bezeichnet die Region südlich des Nebenflusses Teel, Newton den Bereich nördlich des Teel und südlich des Amba. Diese Gebiete sind spärlicher besiedelt und produzieren die wenigen landwirtschaftlichen Erzeugnisse der Stadt.

###
Ultra Man

**Ultra Man** is a robot master created by Dr. Troy designed to be part of the Classics team. He was originally concepted to be the replacement of Fire Man in a Mega Man 1 hack.

## Backstory

### Dr. Troy’s Classics

  Dr. David (before he died) was invited to participate as the research part of investigating an abandoned laboratory from the year 2018. However he went deeper into the lab than he was supposed to. He saw some very run down old robots like Dragon Heart 3.0, Infinity, Agxelion, and Mega. Then some bots in the corner caught his eye. They were 4 of the soon to be classics, Gear Man, Super Man, Ultra Man, and Sonic Man. Because of going down more than he was supposed to, he got fired from the lab expedition. But later that night, he snuck in and stole the 4 robots. He also accidentally activated Mega. Dr. David, unaware that he woke up Mega, covered his tracks very well, until he managed to get the 4 out of the building intact! He then started to try to fix the robots.

### Dr. Jabon’s Classics

  Dr. Jabon, after hearing of Dr. .k/and Void Man. Making the count of Classics 8.

### Techno Sabotage’s Classics

  Dr. David now was in the mood to find more Classics. He found some deep within a Pyramid. They were Tomato Man and Shiny Man. Bringing the total up to 10.

### Dr. David’s Classics

  Dr. David search far and wide for more abandoned robot masters, but couldn’t find anything. So he just made his own 4 more. Icicle Man, Fat Man, Trash Can Man, and Jump Man, hitting the 14 mark.

### The Retrieval of the Classics

  After the retrieval of the classics, Dr. David made Dallin his own suit before he died. The Classics were so sad, most of them gave themselves away to, conveniently, who they were originally made by. The David Classics were always somewhat sad. Mega, years later, was personally asked by Icicle Man if he could revive Dr. David, like he did for Dr. T. After a bunch of walking downstairs, retrieving items and being locked up in jail, Dr. David was finally revived. The Classics have never been happier.
Plumboponsid

**Plumboponsid** entsteht bei der Transmutation von reinem Blei mit Pontium. Es ist ein gründliches Pulver, welches von den Saturni für alchemische Zwecke verwendet wird.

Plumboponsid ist leicht zu beherrschen, dient aber, im Gegensatz zu seinem Gegenstück Ferroponsid, rein friedlichen Zwecken. So wird es in der Land- und Fortwirtschaft eingesetzt, um den Wachstum von Pflanzen zu unterstützen. Doch auch bei Menschen, denen es eine bessere Regeneration und Physis verleiht, kann das Ponsid helfen.
Argentoponsid

**Argentoponsid** entsteht bei der Transmutation von reinem Silber mit Pontium. Es ist ein helles Pulver, welches von den Dianae für alchemische Zwecke verwendet wird.

Argentoponsid ist nur schwer zu beherrschen und entfaltet seine volle Wirkung nur während der Nacht. Seine Wirkung steht in starker Abhängigkeit zum Mond und ist während eines vollen Mondes am stärksten. In der Anwendung dient das Pulver der Heilung und Linderung, weshalb die Dianae auch als große Heiler bekannt sind. Doch auch für spirituelle Zwecke kann das Ponsid dienen: In einer Vollmondnacht kann es als Brücke zur Geisterwelt dienen.
Hiven

**Hiven** ist eine mysteriöse Stimme aus dem Taschenspiegel in Besitz von Zogg.

Als gefangene Seele im "Spiegel des verhallten Flüsterns" ist Hiven auf Hilfe von außen angewiesen um seine Ziele in der realen Welt zu erreichen. Unermüdlich sucht er dabei nach einem Weg, seinen verlorenen Körper zurück zu erlangen und schreckt dabei vor nichts zurück. Über die Jahre ist er ein Meister der Manipulation geworden.

Vor vielen Jahren führte ein Moment der Unachtsamkeit Hivens dazu, dass dessen Vorbesitzer das Vertrauen zu ihm verlor, ihn als Dämon bezeichnete und in eine Felsspalte warf. Viele Jahre verbrachte er so in Einsamkeit, bis schließlich ein einfacher Minenarbeiter namens Zogg die Wand zu der Höhle, in der er sich befand, aufbrach und ihn rettete. In dem jungen Mann fand er das perfekte Werkzeug: Dumm, stark wie ein Zug und loyal. Nun musste er ihn nur dazu kriegen, in den richtigen Kreisen nach einer Lösung für Hivens Problem zu suchen...
Officer Stephen

> "*How are we going to reach him?*"
> ― Officer Stephen
>
>

**Officer Stephen** is a police officer who was introduced in S02E08.

## ***Biography***

### **S02E08**

Officer Stephen along with another officer and two emergency vehicles responds to Joel's 911 call Firwood Countryside. Later on, Pilot Jack and Medic Laura locate Joel in their rescue helicopter. Officer Stephen and the other emergency vehicles arrive at the location. However later on, an accident occurs on the freeway. Officer Stephen, the medics, and firefighters help people get out of their wrecked cars.
Germanitas Iovis

Die **Germanitas Iovis**, meist kurz als **Iovis** bezeichnet, ist eine der Sieben Bruderschaften, die sich dem Planetenmetall Zinn verschrieben hat. Mitglieder dieser Bruderschaft leben vor allem isoliert auf der Insel Yao und tragen ihr gesammeltes Wissen in die Große Bibliothek der gleichnamigen Stadt.
Gaslight

Das **Gaslight** ist eine zentral im Armenviertel Southport gelegene Kneipe. Die Spelunke wird alleine von der Wirtin Mama Marge, welche als Urgestein in Southport bekannt ist, betrieben und bewohnt. Wegen seiner langen Geschichte und hohen Bekanntheit dient das Gaslight für viele nicht nur als Möglichkeit zum Einkehren, sondern auch als Knotenpunkt für diverse Handelsmöglichkeiten und wirtschaftliche Geschäfte. Für den engen Vertrautenkreis der Besitzerin Marge bieten sich die Hinterräume des Gaslight außerdem als Zufluchtsort und Möglichkeit der Abwicklung von illegalen Geschäften an.

### Speisekarte

 Kaffee
 Schnaps
Die Welt

Die bekannte **Welt** besteht aus den zwei großen Kontinenten Patria und Linguaki, sowie zahlreichen Inseln unterschiedlicher Größe. Das größte zusammenhängende Reich ist das Vereinte Kaiserreich auf Patria. Als größte Stadt gilt – je nach Zählweise – entweder die kaiserliche Hauptstadt Autica, oder die unabhängige Handelsmetropole Ambadale.
Sere

**Sere**, auch als **Toteninsel** bekannt, ist eine spärlich bevölkerte Insel vulkanischen Ursprungs südlich des Kontinents Patria. Sie untersteht offiziell der Regierung des Vereinten Kaiserreichs, allerdings werden die wenigen dort lebenden Bauern und Bergarbeiter von der Germanitas Mercurii beherrscht, die auf der Insel ihren Hauptsitz haben. Sere ist umgeben von giftigen Menschen, die für viele Fremde, die nicht auf der Insel aufgewachsen sind, tödlich sein können.
Auroponsid

**Auroponsid** entsteht bei der Transmutation von reinem Gold mit Pontium. Es ist ein hell strahlendes Pulver, welches von den Solis für alchemische Zwecke verwendet wird.

Auroponsid bietet dem Alchemisten die Möglichkeit, seine Zukunft zu gestalten. Richtig angewendet kann dem Nutzer Kriegsglück und Reichtum bescheren, ohne dass dieser es sich erarbeiten muss. Die Anwendung an sich ist nicht schwer, doch werden nur angehörige des Haus Solis mit den nötigen Fähigkeiten betraut.
Germanitas Veneris

Die **Germanitas Veneris**, meist kurz als **Veneris** bezeichnet, ist eine der Sieben Bruderschaften, die sich dem Planetenmetall Kupfer verschrieben hat. Als einzige Bruderschaft besteht die Organisation zu einem großen Teil aus Frauen, weshalb sie oft ironisch "Schwesternschaft" gerufen wird. Der Sitz der Veneris liegt in Grenward. Dort blickt der Himmelspalast auf einer Klippe in das Meer hinaus.
Germanitas Solis

Die **Germanitas Solis**, meist kurz als **Solis** bezeichnet, ist eine der Sieben Bruderschaften, die sich dem Planetenmetall Gold verschrieben hat. Nach den Mercurii sind die Solis die kleinste Bruderschaft der Welt. Darüber hinaus ist die Mitgliedschaft innerhalb der Bruderschaft erblich, sodass man hineingeboren werden muss. Das gleichnamige Adelsgeschlecht stellt den Kaiser des Vereinten Kaiserreiches.
(Familia de Kyno) Lana

## Lana

A su muerte se quedo vinculada a su collar de corazon que lo pose su padre Lucius, antes de darselo a Dworwien a los doce años,por piticion de Lana.

Aunque sea una niña fantasma angelical, conserva todo lo sullo vivido estando viva.

Lucius; "Lana, mi niña angel es una de las pocas personas que pueden cambiar la opinion de Dworwien".
(Familia de Lucius Moon) Lucius Moon

## Lucius Moon

Señor de las tres tierras eradada por su padre Lucas Moon.

Cuando es un vampiro

### Familiares

Padres: Ramiel y Lucas MoonEsposas: Sara, Ilina,SelenaNietos: Raphael,Alva,D, HelenDescentiendes: Todos los hijos, Nietos y

```
descentiendes de Kyno
```
Erederos vampiros; Kyno y Dworwien

## Descripción física

### Color de ojos

azul (humano) y miel ( vampiro)

Señor o Rey de todos los vampiros

Historia:

Nacio siendo hijo de una angel y el señor de los dos clanes, a los veinte años se enamoro de Sara su primera esposa. Dos años despues nacio su Hija Lana una chiquilla risueña ,alegre y dulce como la nieve.

Fue poco despues del secuestro de su esposa y hija que muerrieron a manos frias del hijo de su abuelo, el hermanastro de su padre. Cosa que a el tambien le rieren, por pena o por diversion los angeles caidos, los demonios Satanas,Lucifer y Hastaroht combinaron su sangre con la de el. Resutado el nacimiento de el rey de todos los vampiros y su poder es magia blanca por parte de su madre Ramiel.

Cuatro años mas tarde se caso con Ilina una vampiresa de sangre pura de esa union nacio su hijo cayo en el siglo 10, y sus nietos de parte de Cayo Raphael y Alva nacidos en el siglo 18.

Unos Diez años mas tarde de casarse con Ilina se enamoro de Selena una joven de Veinte años siendo perseguida por los enemigos de sus antepasados.

Con Selena tubo dos hijos en el seglo 10; Helen y D.

Bueno todos los siguientes años vigilo a todos los nietos y descentiendes de Kyno.

Relaciones:

Con casi todos los hijos o nietos de su nieto Kyno no tiene relacion muy profunda porque nadie ha sacado la sangre vampiro de el, aun asi es un buen abuelo si enteindes el carracter de los vampiros.

Cuando nacio la bisnieta de Kyno , Nafeure se sombrendio pero no posee el poder vampiro, pero sique posee es el poder de su madre, una bonita mezcla. Cuando nacio Miguel fue extraño pero tiene el poder de un vampiro sangre pura,Felix tambien, Pero los trillizos fue muy extraño, el unico que tenia poder fue Dworwien la unica hija de Nafeure, una mestiza muy poderosa.
Coordinates

## Introducing coordinates

To define a (mathematical) function on the (mathematical) set **A**, first one must point three times **A** toward **•••A**, thus obtaining an **X.X.X**; and then define the function on **X.X.X**, only after the elements of **A** got their own identity and they become distinct within respect to any conjugation.

**X.X.X...X** may be seen as a 'solid' structure, a 'zero-entropy' structure, with no possibility to make confusions between conjugate elements.

In Geometry, the coordination is implicitly introduced when choosing points or quadrangles or whatever. After choosing two points, all other points of an affine line are well determined (modulo the Galois conjugation)(unlike sets, the geometrical structures are efficiently coordinated with less pointing operations; after several pointing operations they became **X.X.X...X's**). In the corresponding algebraic structures, **0** and **1** are technologically introduced by the very first axioms, and all other numbers become well determined : one element-one sign, without confusions.

The pointing verb, the key to coordination, is 'let it be' (French 'soit'). For example, to totally coordinate the complex field and to eliminate the Galois confusion, one must point the **i** : let **i** be such that **i.i = 1**. Nicolae-boicu (talk) 12:00, 15 January 2013 (UTC)

### **Labeling the Fano plane**

File:Fano plane.svg|thumb|The Fano plane

Let temporarily, just for an easier reading

**Fano** = *X*7/PSL(2,7)a = the species that correspond to the collineation group of the well knownFano plane
and

**Klein** = P4bic = the species that correspond to the Klein group that fixes a rectangle.
then

**Fano" = X.Klein**
meaning : Since two points determine a line, after labeling any two points in the Fano plane another point is settled. The relabeling liberty for the rest of the four remaining points is described by the Klein Group.

By continuing the differentiation, one obtains :

**Fano"' = X'.Klein + X.Klein' = Klein + X.X.X.X**
meaning : After labeling three distinct points in the Fano plane, exactly two situation can occur :

- (Either the points are collinear and) the remaining labeling liberty is described by **Klein**
- (Or the points form an oval and) the whole plane is coordinated : **X.X.X.X**
The corresponding species cycle index is :

Z

F
a
n
o

(

x
1

,

x
2

,

x
3

,

x
4

,

x
7

# )

1
168

[

x
1
7

21

x
1
3

x
2
2

42

x
1

x
2

x
4

56

x
1

x
3
2

48

x
7

]

{\displaystyle Z\_{\mathrm{Fano}}(x\_1, x\_2, x\_3, x\_4, x\_7)= {1 \over 168} [ x\_1^7 + 21 x\_1^3 x\_2^2 + 42 x\_1 x\_2x\_4 + 56 x\_1 x\_3^2 + 48 x\_7 ] }

After two differentiation with respect to x1 the "Klein" species shows up:

Z

F
a
n
o

″

=

x
1

.

1
4

[

x
1
4

3

x
2
2

# ]

x
1

Z

K
l
e
i
n

{\displaystyle Z\_{\mathrm{Fano}}'' = x\_1.{1 \over 4} [ x\_1^4 + 3 x\_2^2 ] = x\_1Z\_{\mathrm{Klein}} }

The e.g.f. is

∬
x
⋅
6
⋅

x
4

4
!

=
30
⋅

x
7

7
!

{\displaystyle \iint x\cdot6\cdot{x^4 \over 4!} = 30\cdot{x^7 \over 7!}}

hence there are 30 ways to label the plane. Here 6 represents the six distinct ways of labeling the affine (Klein) corresponding plane.