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* AccessoryWearingCartoonAnimal: Truffles wears only a scarf, glasses and occasionally a hat.



* CouldHaveAvoidedThisPlot: Professor Fiendish usually produces an overcomplicated scheme, but the most obvious is when he disguises as a technician and does building work for hours to install a fake Panic Button, which secretly summons him instead so he can give out a challenge. The reader points out to him that he could simply have turned up right away with the challenge, to which he has no reply.



** The Pure Mathematicians laugh uncontrollably at a complex algebraic equation, saying they are laughing at nothing. The equation turns out to simplify down to equal 0.



* HousepetPig: Professor Fiendish's anthropomorphic pet pig, Truffles.



* OddballInTheSeries: ''The Murderous Maths of Everything'' is in full color with a larger book size, and returns to a similar style to the first two books, with no running topic and many past ideas revisited.



** The number of calculators wrecked by performing impossible calculations is counted throughout ''The Fiendish Angletron''.
** In a chapter of ''The Perfect Sausage'', a semiperimeter is said to be useless for calculating the length of fence needed around a cow field as the cows can escape. One then shows up any time a formula involves the semiperimeter of a shape.
* SelfDeprecation: After the dangers of good jokes spreading are explained, the narrator says that the author goes to great lengths to make sure none of the jokes in the Murderous Maths books are at all funny.



* ShoutOut:
** Professor Fiendish advertises his Fiendish Angletron with 'Get an Angletron - because you're worth it', referencing the L'Oréal advertising slogan.
** Some cows escape from a field because it has only half a fence. One remarks that they feel like [[Creator/SteveMcQueenActor Steve McQueen]] [[Film/TheGreatEscape on his motorbike]].



* SwitchingPOV: Mostly there is an omniscient narrator, but The Phantom X narrates in first-person some parts of that book and Professor Fiendish is the first-person narrator of much of ''Professor Fiendish's Book of Diabolical Brain-Benders'', with his pet pig Truffles taking over for the answers. Curiously, a few puzzles use the traditional narrative style.

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* SpoofAesop: The Pure Mathematicians create a [[https://en.wikipedia.org/wiki/Sine_wave sine wave]] by driving a tow truck along a road and swinging a leaking paint can off the back. This actually works, but they are quickly noticed and chased by police. The moral of this is stated to be "Don't let a Pure Mathematician borrow your tow truck".
* {{Superhero}}: {{Parodied}} with Supersin, Cosgirl and Tandog. They have no superpowers but instead demonstrate trigonometry formulas, change into their costumes by sliding out of their house into a lake and have a [[BatSignal Supersin signal]]. [[spoiler:No surprises they're the Pure Mathematicians.]]
* SwitchingPOV: Mostly there is an omniscient narrator, but The Phantom X narrates in first-person some parts of that book and Professor Fiendish is the first-person narrator of the introduction to ''The Fiendish Angletron'' and much of ''Professor Fiendish's Book of Diabolical Brain-Benders'', with his pet pig Truffles taking over for the answers. Curiously, a few puzzles use the traditional narrative style.


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* TheSecretOfLongPorkPies: Heavily implied in ''The Perfect Sausage'' when the Mayor of Fastbuck declares the butcher's sausages fail to conform to the titular shape. Suddenly he disappears and there is a new batch made...


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* TwoMenOneDress: [[spoiler:Two of the Pure Mathematicians]] in the Tandog costume.
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** Subverted with Hunjah the Headless, who uses a more convinci
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* AlternateUniverse: Planet Mean in ''The Mean and Vulgar Bits'' looks exactly like Earth, but everything is the mean average. For instance, every family has 2.4 children, people have slightly less than ten fingers and ten toes, and they all die at the exact same age equivalent to the average life on Earth.


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* ComicallyMissingThePoint: In ''The Phantom X'', [[https://en.wikipedia.org/wiki/Diophantus#Biography Diophantus's epitath]] is presented as an algebraic puzzle. [[AbhorrentAdmirer Pongo [=McWhiffy=]]] thinks it means that if he wants to get married, he should grow a beard.


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* DayInTheLife: Shown for a Pure Mathematician in ''The Key to the Universe''.


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* DidntThinkThisThrough: Frequent with the Gollarks and Professor Fiendish.
** The Gollarks threaten to destroy the entire universe if a dice roll does not produce a four. Destroying the entire universe would include themselves... They decide the [[{{Pun}} die must die]].


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** Riverboat Lil asks Brett Shuffler if she can use her lucky die in a game. He agrees provided 'it's fair and has the numbers 1-6 on it'. It has those numbers, and also the numbers 7-12.


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* FromBeyondTheFourthWall:
** When Wally the 1 moves around to different value positions in a number, the artist draws in 0s to help visualise.
** ''Desperate Measures'' advises you to cut a line across a page. A teacher is irritated by this suggestion, then on the subsequent page they are cut in half.
** Insects are squashed by closing ''The Mean and Vulgar Bits''.


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* LoopholeAbuse: In ''The Mean and Vulgar Bits'', the Boccelli brothers ask Luigi to cook a number of sausages, corn cobs and cannelloni rolls that will divide equally even if some guests don't arrive at their party. Luigi realizes he can cook ''zero'' food items, so no matter the number of people everyone gets nothing. He can close the restaurant for the week and have a holiday in Hawaii!


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* MobileShrubbery: To avoid the barbarians, Hunjah the Headless disguises himself as a dung heap and wanders through a field to a shop.
* MonkeysOnATypewriter: {{Deconstructed}} in ''Do You Feel Lucky''. The theory is mathematically tested and 100,000 monkeys would between them write 'doyoufeellucky' once in 28 billion years - on a typewriter with only the 26 letter and 10 number keys.


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* NewspaperThinDisguise: The Boccellis and the Gabriannis hide themselves behind a giant newspaper as part of one of their criminal schemes.


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* NoFourthWall: The reader is frequently addressed by the narrator and some characters, and readers also appear in illustrations either to comment on something or to be involved in Professor Fiendish's schemes.


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* PaperThinDisguise:
** One-Finger Jimmy attempts to disguise himself as a petrol pump using a bucket on his head and a hose in his mouth.
** Professor Fiendish with a false plastic nose and beard when he runs a shop in ''The Key to The Universe''.
** Subverted with Hunjah the Headless, who uses a more convinci


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* SwitchingPOV: Mostly there is an omniscient narrator, but The Phantom X narrates in first-person some parts of that book and Professor Fiendish is the first-person narrator of much of ''Professor Fiendish's Book of Diabolical Brain-Benders'', with his pet pig Truffles taking over for the answers. Curiously, a few puzzles use the traditional narrative style.


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** In the same book, the narrator says when tossing a coin you can only win 50% of the time. The reader decides to call heads ''or'' tails, winning no matter the result.
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* Arrowgram: Princess Laplace sends one to Colonel Cancel and the Valiant Vector Warriors in ''Guaranteed to Bend Your Brain'' for help when she is imprisoned.

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* Arrowgram: {{Arrowgram}}: Princess Laplace sends one to Colonel Cancel and the Valiant Vector Warriors in ''Guaranteed to Bend Your Brain'' for help when she is imprisoned.
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* AlliterativeTitle: The series name, as well as Awesome Arithmetricks and Savage Shapes.


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* Arrowgram: Princess Laplace sends one to Colonel Cancel and the Valiant Vector Warriors in ''Guaranteed to Bend Your Brain'' for help when she is imprisoned.


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* BlatantBurglar: Three of the standard UK design appear together in ''Guaranteed to Bend Your Brain'', having stolen a large amount of money.


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* HumanLadder: A giant one is created by the staff of Calamity Circus when they fall in a hole.


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* LettersToTheEditor: Parodied. Fictional letters are occasionally sent in from dissatisfied readers, then answered by the narrator.


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* MuckMonster: The Crud creatures of Fastbuck, formed by mutated dumped radioactive and biological waste.


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* ParodyName: Sheerluck Homes, a detective who struggles to solve cases, depending on pure chance or getting the crime wrong because he failed to consider all evidence.
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* CutASliceTakeTheRest: In ''The Perfect Sausage'' a small piece of cake is cut for Porky so the area on top can be calculated. He then eats the remaining large part.
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* MadMathematician: The cheerfully eccentric and overexcitable [[LovableNerd Pure Mathematicians]].

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* InUniverseFactoidFailure: In ''Do You Feel Lucky?'', the Gabriellis attempt to get out of paying for their dinner bill by betting with the Bocciellis on a coin flip to see who pays, but flipped said coin beforehand due to one member claiming he's studied the laws of probability and thinks that you can fix the outcome by flipping a coin 9 times in advance (end result was 4 heads and 5 tails) since there's an equal chance for either side so they bet on heads, only for the Bocciellis to win with tails. The Gabriellis angrily find out from the narrator that they ended up reaching 4 heads and 5 tails by sheer ''[[{{Irony}} luck]]'' and coins don't have memory.



** ''Desperate Measures'' sees the Gollarks try to use a doomsday weapon to blow up the Earth in a chapter explaining scientific notation. The device is measured in zzaps, where each zzap is roughly equal to a giant volcano exploding. Unfortunately for the Gollarks, they set it to ''8.91 x 10^-14'', which leads to the weapon briefly shuddering before keeling over ineffectually.

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** ''Desperate Measures'' sees the Gollarks try to use a doomsday weapon to blow up the Earth in a chapter explaining scientific notation. The device is measured in zzaps, where each zzap is roughly equal to a giant volcano exploding. Unfortunately for the Gollarks, they set it to ''8.91 x 10^-14'', which leads to the weapon briefly shuddering before keeling over ineffectually.ineffectually since the output was a pitifully-tiny zzap.



* NearVillainVictory: At the end of ''The Fiendish Angletron'', [[spoiler:The Angletron has seemingly calculated the final shape's "finish line" length before the heroes, leading to Professor Fiendish proudly announcing the results before the reader has to buy his invention...only to discover that not only is the Angletron [[ItCanThink sentient]], it had no intention of being part of a GetRichQuickScheme and calculated an unrestricted Tan wave at 90 degrees just to escape to a different plane of existence. This leads to it finding freedom while Fiendish has nothing left to sell.]]



* PaperTiger: The Gollarks sic a Battle Cruiser on humanity at one point. It's huge, looks ominous, packed with offensive weaponry, frequently referred to as TheDreaded, and can apparently move at a top speed of "180 glomps per mnult". So what went wrong? [[spoiler:It's revealed that a "glomph" is only a few kilometres and a "mnult" is 3 days. Turns out that it's ''slower than an average snail and tastes like lettuce'', which it promptly gets outran by a horde of snails and eaten to scrap]]

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* PaperTiger: The Gollarks sic a Battle Cruiser on humanity at one point. It's huge, looks ominous, packed with offensive weaponry, frequently referred to as TheDreaded, and can apparently move at a top speed of "180 glomps per mnult". So what went wrong? [[spoiler:It's revealed that a "glomph" is only a few kilometres and a "mnult" is 3 days. Turns out that it's ''slower than an average snail and tastes like lettuce'', [[SlowerThanASnail which it promptly gets outran by a horde of snails snails]] and eaten to scrap]]scrap.]]



* TakeAThirdOption: A variant on the "Dueling Wizards" puzzle in ''Do You Feel Lucky?'' has the three barbarians in a cannon brawl, but one is at a severe disadvantage compared to his other two opponents. His best option it to shoot ''away'' from both of them so Grizelda (with a higher chance of hitting her target) takes aim at Urghum since he has the best chance of hitting his target and thus is the most dangerous.

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* TakeAThirdOption: A variant on the "Dueling Wizards" puzzle in ''Do You Feel Lucky?'' has the three barbarians in a cannon brawl, but one is at a severe disadvantage compared to his other two opponents. His best option it is to shoot ''away'' from both of them so Grizelda (with a higher chance of hitting her target) takes aim at Urghum since he has the best chance of hitting his target and thus is the most dangerous.
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* AnachronismStew: The ''Su Doku'' book has a running story with Blade and the gangsters trying to complete one in a newspaper in [=1920s=] America. (Whilst the date is totally anachronistic, [[AluminiumChristmasTrees they are an American invention]].)

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* AnachronismStew: The ''Su Doku'' book has a running story with Blade and the gangsters trying to complete one in a newspaper in [=1920s=] America. (Whilst the date is totally anachronistic, [[AluminiumChristmasTrees they are an American invention]].invention.)
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An Axe To Grind is no longer a trope


* AnAxeToGrind: Urgum the Axeman. Grizelda's also been shown with a triple-bladed battleaxe at one point.

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* RunningGag: ''Key to the Universe'' has several judges giving "PUF" ([[FunWithAcronyms Pathetically-Useless Fact]]) awards to pointless maths facts throughout the book, culminating in the most top rated PUF being [[spoiler:"The number 'forty' is the only number in the English language to have its letters in alphabetical order"]].



* TakeAThirdOption: A variant on the "Dueling Wizards" puzzle in ''Do You Feel Lucky?'' has the three barbarians in a cannon brawl, but one is at a severe disadvantage compared to his other two opponents. His best option it to shoot ''away'' from both of them so Grizelda (with a higher chance of hitting her target) takes aim at Urghum since he has the best chance of hitting his target and thus is the most dangerous.



* TooDumbToLive: Possibly the Evil Gollarks. Definitely Binky.
* UpperClassTwit: Binky Smallbrains, one of several inhabitants of Fogsworth Manor.

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* %%* TooDumbToLive: Possibly the Evil Gollarks. Definitely Binky.
* UpperClassTwit: Binky Smallbrains, one of several inhabitants of Fogsworth Manor. True to his name, he loses lots of money on a slot machine and gets scammed by his relative Rodney Bounder over a pair of oversized trousers.
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Up To Eleven is a defunct trope


* MyHovercraftIsFullOfEels: The Gollarks ([[RunningGag yet again]]) attempt to destroy humanity by getting help from another alien race called the "Ploog Warriors". Problem is, they speak different languages, requiring an interpreter between them. All the Ploogs' translation attempts fail along with it taken UpToEleven when the Gollarks enlist the help of several other species with individual languages which would require more interpreters between all of them than warriors. [[EpicFail This ultimately causes the entire plan to botch within a few minutes]] when they all can't understand the Gollarks' directions and crash into each other.

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* MyHovercraftIsFullOfEels: The Gollarks ([[RunningGag yet again]]) attempt to destroy humanity by getting help from another alien race called the "Ploog Warriors". Problem is, they speak different languages, requiring an interpreter between them. All the Ploogs' translation attempts fail along with it taken UpToEleven up to eleven when the Gollarks enlist the help of several other species with individual languages which would require more interpreters between all of them than warriors. [[EpicFail This ultimately causes the entire plan to botch within a few minutes]] when they all can't understand the Gollarks' directions and crash into each other.



* NintendoHard: ''Professor Fiendish's Book of Diabolical Brain-Benders'' is this for puzzle books. Taken UpToEleven by the final puzzle, The Devil's Dice, which involves two dice with numbers such as 18 and 91 on them, so you can't tell whether it should be 18 or 81, 91 or 16, and so on; the challenge is to work out what the two numbers on the bottom of the dice add up to on the third throw, having been shown the results of two previous throws, and unlike every other puzzle in the book, ''no answer is provided''. (It was accidentally made UnintentionallyUnwinnable in early printings, which transposed the illustrations of the second and third throws.)

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* NintendoHard: ''Professor Fiendish's Book of Diabolical Brain-Benders'' is this for puzzle books. Taken UpToEleven Exaggerated by the final puzzle, The Devil's Dice, which involves two dice with numbers such as 18 and 91 on them, so you can't tell whether it should be 18 or 81, 91 or 16, and so on; the challenge is to work out what the two numbers on the bottom of the dice add up to on the third throw, having been shown the results of two previous throws, and unlike every other puzzle in the book, ''no answer is provided''. (It was accidentally made UnintentionallyUnwinnable in early printings, which transposed the illustrations of the second and third throws.)
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The books in the series are:[[note]]The first two books in the series were originally part of ''The Knowledge'', a series of educational books covering different subjects, and hence covered a broad range of subjects. It was decided that there was enough mileage to spin it off into its own range, and each subsequent book covers a specific area of maths[[/note]]

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The books in the series are:[[note]]The first two books in the series were originally part of ''The Knowledge'', a series of educational books covering different subjects, and hence covered a broad range many different fields of subjects.maths. It was decided that there was enough mileage to spin it off into its own range, and each subsequent book covers a specific area of maths[[/note]]
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* ''Guaranteed to Bend your Brain'' (aka ''Murderous Maths'')
* ''Guaranteed to Mash your Mind'' (aka ''More Murderous Maths'')
* ''Awesome Arithmetricks'' (aka ''The Essential Arithmetricks'') (basic functions, manipulating equations, long division etc.)

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* ''Guaranteed to Bend your Brain'' (aka Brain''[[note]]Originally published as ''Murderous Maths'')
Maths''[[/note]]
* ''Guaranteed to Mash your Mind'' (aka Mind''[[note]]Originally published as ''More Murderous Maths'')
Maths''[[/note]]
* ''Awesome Arithmetricks'' (aka Arithmetricks''[[note]]Originally published as ''The Essential Arithmetricks'') Arithmetricks''[[/note]] (basic functions, manipulating equations, long division etc.)



* ''Savage Shapes'' (aka ''Vicious Circles and Other Savage Shapes'') (polygons and formulas for various parts of shapes)
* ''The Key to the Universe'' (number property equations, Fibbonaci etc. right up to irrational transcendental numbers and imaginary numbers)

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* ''Savage Shapes'' (aka Shapes''[[note]]Originally published as ''Vicious Circles and Other Savage Shapes'') Shapes''[[/note]] (polygons and formulas for various parts of shapes)
* ''The Key to the Universe'' (number property equations, Fibbonaci Fibonacci etc. right up to irrational transcendental numbers and imaginary numbers)



* ''The 5ecret L1fe of [=Code5=]'' (aka ''Codes: How to Make Them and Break Them'') (patterns and logic)

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* ''The 5ecret L1fe of [=Code5=]'' (aka [=Code5=]''[[note]]Originally published as ''Codes: How to Make Them and Break Them'') Them''[[/note]] (patterns and logic)
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* ExactWords: To teach excluded angles, one of Blade's quests for money involves finding the coffin of fabled gangster Bluetooth Fonetti, who set up his own funeral to hide a stash of gold he stole in his coffin. Dolly begrudgingly gives them instructions on how to find it. They come up with a diagram which follows the instructions to the letter...except that Dolly knows they actually screwed up considering on how Bluetooth wrote the directions to his burial site. The book then draws a more-technical diagram which reveals why: There's ''two'' possible locations where the coffin is buried.
* FriendlyEnemy: Grizelda and Urgum. Usually. One book had her army and his seventeen sons fight each other in a friendly skirmish and have a party the following night comparing their new scars.

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* ExactWords: To teach excluded angles, one of Blade's quests for money involves finding the coffin of fabled gangster Bluetooth Fonetti, who set up his own funeral to hide a stash of gold he stole in his coffin. Dolly begrudgingly gives them instructions on how to find it. They come up with a diagram which follows the instructions to the letter...except that after they left, Dolly knows they actually screwed up considering on how Bluetooth wrote the directions to his burial site. The book then draws a more-technical diagram which reveals why: There's ''two'' possible locations where the coffin is buried.
* FriendlyEnemy: Grizelda and Urgum. Usually.Urgum, usually. One book had her army and his seventeen sons fight each other in a friendly skirmish and have a party the following night comparing their new scars.



** Dolly Snowlips, as it turns out, cannot cook.

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** Dolly Snowlips, as it turns out, cannot cook. Her first cake's smell overpowered her perfume and the gangsters just hid the slices.



* PaperTiger: The Gollarks sic a Battle Cruiser on humanity at one point. It's huge, looks ominous, packed with offensive weaponry, frequently referred to as TheDreaded, and can apparently move at a top speed of "180 glomps per mnult". So what went wrong? [[spoiler:It's revealed that a "glomph" is only a few kilometres and a "mnult" is 3 days. Turns out that it's ''slower than an average snail and tastes like lettuce''. Hang on, is that a swarm of snails over there?]]

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* PaperTiger: The Gollarks sic a Battle Cruiser on humanity at one point. It's huge, looks ominous, packed with offensive weaponry, frequently referred to as TheDreaded, and can apparently move at a top speed of "180 glomps per mnult". So what went wrong? [[spoiler:It's revealed that a "glomph" is only a few kilometres and a "mnult" is 3 days. Turns out that it's ''slower than an average snail and tastes like lettuce''. Hang on, is that lettuce'', which it promptly gets outran by a swarm horde of snails over there?]]and eaten to scrap]]



* ShapedLikeItself: Chainsaw Charlie's chainsaw-shaped suitcase, as it turns out, contains a chainsaw-shaped chainsaw. Didn't see ''that'' one coming.

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* ShapedLikeItself: Chainsaw Charlie's chainsaw-shaped suitcase, as it turns out, contains a chainsaw-shaped chainsaw. Didn't see ''that'' one coming.

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