History Main / AlienGeometries

29th Jan '16 1:37:35 PM shadowbeast
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* Many gamers try to use toys and scale models to improvise scenery and vehicles for miniature gaming. This is often problematic, because miniature figures are usually produced in oddball scales which are not commonly used by other branches of modelling. Worse is the fact that the modern style of figure sculpting gives one a figure which is a different scale in each measurement, so cars that are technically too big "look right" because the figure has such an oversized arse compared to its height, and they frequently look rather comical. Cars are often chosen in 1/43 scale when using 28mm figures (more commonly called 32mm now; one manufacturer has stated that these are just sayings rather than figures) even though the figure is no taller than 1/55, as putting them on bases inexplicably increases their scale height because many gamers can't possibly imagine their figures standing on objects, any more than they can imagine that the figure represents a person able to adopt more poses than just the one they were sculpted in. Therefore a compact sedan typically has the footprint on the tabletop of an APC. 1/48 buildings can be more practical to play in, if you wish to make their interiors playable; however there remains the fact of windows being too high, and details such as door handles being at the wrong height. * Miniatures games in general can succumb to this, as they often use a ground scale smaller than the modelling scale of the figures. A village can be only 40' across, for example, when you know it's really half a mile; map features can end up smaller than figures; a major river looks like a little stream. Some games will tell you you can use figures from 1/72 scale down to 1/300, when the scale of the map or terrain you're fighting for is 1/240. You're not building a model railway here.
14th Jan '16 6:35:16 PM NXTangl
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** That's not even taking into account the metric signature of space. In essence, time as a dimension is counted as the 'opposite' of space, leading to (among other strange results) the fact that two points along the path of a photon in spacetime are always considered to have zero distance between them. The reason why this is important is it means that the weird, seemingly inconsistent results produced by special relativity can be explained by looking at the situation from different angles.
13th Jan '16 2:30:03 AM Arivne
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** [[http://www.scp-wiki.net/scp-2282 SCP-2282 ("Goat.")]]. SCP-2282 appeared to be a normal goat. Its digestive tract was a set of non-Euclidean spacial distortions that [[BiggerOnTheInside increased its internal volume to at least 17,000 cubic meters]], made up of more than 8,000 separate stomachs.
1st Jan '16 10:27:59 AM mariic
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*** Another math-nerd made a [[https://www.youtube.com/watch?v=CUPY0J5es5Q film adaptation]] of the story as his final for Geometry.
1st Jan '16 10:26:16 AM mariic
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** The short story ''Literature/AndHeBuiltACrookedHouse'' involves an architect who, inspired by higher-dimensional geometry and high real-estate prices, builds a house in the shape of an unfolded hypercube. Then an earthquake makes it fold in on itself into a hypercube, so to the architect's delight it's eight times roomier on the inside than on the outside. Just one small problem: the house's new topology makes it a bit difficult to leave once you're inside. When you do get outside, you may have a whole new problem.\\ \\ A math-nerd resident of ''VideoGame/SecondLife'' actually went and reproduced the Crooked House in 3d, and if it's still rezed somewhere public you can actually walk through it. Not a real hypercube of course but some excellent special effects. [[http://nwn.blogs.com/nwn/2006/06/_and_he_rezzed_.html Here's the story with video.]]
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** The short story ''Literature/AndHeBuiltACrookedHouse'' involves an architect who, inspired by higher-dimensional geometry and high real-estate prices, builds a house in the shape of an unfolded hypercube. Then an earthquake makes it fold in on itself into a hypercube, so to the architect's delight it's eight times roomier on the inside than on the outside. Just one small problem: the house's new topology makes it a bit difficult to leave once you're inside. When you do get outside, you may have a whole new problem.\\ \\ A problem. ***A math-nerd resident of ''VideoGame/SecondLife'' actually went and reproduced the Crooked House in 3d, and if it's still rezed somewhere public you can actually walk through it. Not a real hypercube of course but some excellent special effects. [[http://nwn.blogs.com/nwn/2006/06/_and_he_rezzed_.html Here's the story with video.]]
30th Dec '15 12:47:36 AM KatanaCat
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* Buildings frequented by [[Franchise/TheSlenderManMythos the Slender Man]] often develop these, sometimes reaching full-blown EldritchLocation levels. Don't expect a door to lead to the same room it did two minutes again.
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* Buildings frequented by [[Franchise/TheSlenderManMythos the Slender Man]] often develop these, sometimes reaching full-blown EldritchLocation levels. Don't expect a door to lead to the same room it did two minutes again.ago.
25th Dec '15 11:26:57 PM Doug86
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* In the WesternAnimation/DannyPhantom / Film/{{Beetlejuice}} {{Crossover}} fanfiction, ''FanFic/SayItThrice'', this is a pretty good description of the Ghost Zone. In [[EncyclopediaExposita her report]], Maddie Fenton remarks that structure of the Ghost Zone does not reflect normal forms of geometry and physics. Instead, it appears to be closer to a Moebius Loop or a Klein bottle, but not quite.
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* In the WesternAnimation/DannyPhantom / Film/{{Beetlejuice}} {{Crossover}} {{CrossOver}} fanfiction, ''FanFic/SayItThrice'', this is a pretty good description of the Ghost Zone. In [[EncyclopediaExposita her report]], Maddie Fenton remarks that structure of the Ghost Zone does not reflect normal forms of geometry and physics. Instead, it appears to be closer to a Moebius Loop or a Klein bottle, but not quite.

** [[http://www.scp-wiki.net/scp-1130 SCP-1130 ("A Handy Shortcut")]]. The areas encountered while passing through SCP-1130-2 are connected in a random fashion: for example, a hatch in a WorldWarII German submarine leads to a room in a hospital, and a subway tunnel connects to a kitchen in a diner.
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** [[http://www.scp-wiki.net/scp-1130 SCP-1130 ("A Handy Shortcut")]]. The areas encountered while passing through SCP-1130-2 are connected in a random fashion: for example, a hatch in a WorldWarII UsefulNotes/WorldWarII German submarine leads to a room in a hospital, and a subway tunnel connects to a kitchen in a diner.

* In TabletopGame/{{Mortasheen}}, this is where the [[http://www.bogleech.com/mortasheen/xenogog.htm Xenogog]] lives naturally, only coming into ours with a screw up in a time travel experiment.
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* In TabletopGame/{{Mortasheen}}, ''TabletopGame/{{Mortasheen}}'', this is where the [[http://www.bogleech.com/mortasheen/xenogog.htm Xenogog]] lives naturally, only coming into ours with a screw up in a time travel experiment.

** ''{{TabletopGame/Planescape}}'' created Sigil, a city that exists on its own plane, connected to others only by portals in the forms of doors. The city resembles the inside of a tire; it's a tube that wraps around on itself, so you can look up and see buildings in the sky, walk straight for hours and end up in the same place, and open any door and end up somewhere else. Gravity seems to work for whatever ground your standing on right now and light is just sort of there. To top it all off, it's floating on the top of an infinitely-tall spire in the middle of a plane that is both infinite and finite. The best part, though, is that, since Sigil exists completely separate from any other plane, there is a chance that it has no outer surface. * ''[[{{TabletopGame/GURPS}} GURPS: Illuminati University]]'' describes a campus which teaches human students and everything else capable of paying the exorbitant university fees how to function as {{Mad Scientist}}s, World-Conquering Dictators, Marketing Specialists, and other strange jobs.\\
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** ''{{TabletopGame/Planescape}}'' ''TabletopGame/{{Planescape}}'' created Sigil, a city that exists on its own plane, connected to others only by portals in the forms of doors. The city resembles the inside of a tire; it's a tube that wraps around on itself, so you can look up and see buildings in the sky, walk straight for hours and end up in the same place, and open any door and end up somewhere else. Gravity seems to work for whatever ground your standing on right now and light is just sort of there. To top it all off, it's floating on the top of an infinitely-tall spire in the middle of a plane that is both infinite and finite. The best part, though, is that, since Sigil exists completely separate from any other plane, there is a chance that it has no outer surface. * ''[[{{TabletopGame/GURPS}} ''[[TabletopGame/{{GURPS}} GURPS: Illuminati University]]'' describes a campus which teaches human students and everything else capable of paying the exorbitant university fees how to function as {{Mad Scientist}}s, World-Conquering Dictators, Marketing Specialists, and other strange jobs.\\

* The ''{{Transformers}}'' already skirt the trope, what with size and mass-changing and the oddness of the scales...but then we come to the Autobot Micromaster Countdown's playset. He's a deep space explorer. He has an interstellar rocket and a command base. The base is used to launch the rocket. But also fits inside the rocket: [[YourHeadAsplode mgnaaaaa!]]
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* The ''{{Transformers}}'' ''Franchise/{{Transformers}}'' already skirt the trope, what with size and mass-changing and the oddness of the scales...but then we come to the Autobot Micromaster Countdown's playset. He's a deep space explorer. He has an interstellar rocket and a command base. The base is used to launch the rocket. But also fits inside the rocket: [[YourHeadAsplode mgnaaaaa!]]

* The Polyhedron in the Russian art-house game ''{{Pathologic}}''. From the outside, the building simply appears to be impossible. [[spoiler: The inside is implied to more or less be another ''dimension'', inhabited by hundreds of children suspended in some kind of weird dream world.]]
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* The Polyhedron in the Russian art-house game ''{{Pathologic}}''.''VideoGame/{{Pathologic}}''. From the outside, the building simply appears to be impossible. [[spoiler: The inside is implied to more or less be another ''dimension'', inhabited by hundreds of children suspended in some kind of weird dream world.]] ]]

* ''Videogame/{{Prey}}'' is based aboard a cybernetic moon size space ship where things like gravity and even space-time are not consistent. The player character occasionally remarks on this.
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* ''Videogame/{{Prey}}'' ''VideoGame/{{Prey}}'' is based aboard a cybernetic moon size space ship where things like gravity and even space-time are not consistent. The player character occasionally remarks on this.

* The Bizarre Room in the Wonderland level of ''KingdomHearts''. Entering from different points of the world -- including the room itself -- leads to you stand on different dimensions of the room, i.e. the walls and roof. However, the dimensions of the areas you are entering ''from'' don't change at all.
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* The Bizarre Room in the Wonderland level of ''KingdomHearts''.''VideoGame/KingdomHearts1''. Entering from different points of the world -- including the room itself -- leads to you stand on different dimensions of the room, i.e. the walls and roof. However, the dimensions of the areas you are entering ''from'' don't change at all.

* Two areas in ''[[Videogame/SubMachine Submachine: Subnet Exploration Project]]'' have rooms that connect in ways they should not. Appropriately, one of them houses a fan theory that the Submachine is looped through the fourth dimension, and the other is a series of padded cells. Another area is, for no apparent reason, sideways.
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* Two areas in ''[[Videogame/SubMachine ''[[VideoGame/SubMachine Submachine: Subnet Exploration Project]]'' have rooms that connect in ways they should not. Appropriately, one of them houses a fan theory that the Submachine is looped through the fourth dimension, and the other is a series of padded cells. Another area is, for no apparent reason, sideways.

* ''Videogame/{{Fez}}''. Gomez is a 2D man suddenly gifted with the ability to shift the 2D world on the third dimension. Even better, he has an ExpositionFairy following him around that's shaped like a tesseract (a 4-dimensional shape; it's the "next level" of the cube, much like the cube is the "next level" of the square). So he's a 2D man in a 3D world with a 4D companion!
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* ''Videogame/{{Fez}}''.''VideoGame/{{Fez}}''. Gomez is a 2D man suddenly gifted with the ability to shift the 2D world on the third dimension. Even better, he has an ExpositionFairy following him around that's shaped like a tesseract (a 4-dimensional shape; it's the "next level" of the cube, much like the cube is the "next level" of the square). So he's a 2D man in a 3D world with a 4D companion!

* Unintentional example in ''Videogame/GarrysMod''. Placing certain physics constraints on a prop can cause the [[WreakingHavok Havok physics engine]] to decide that within a single process tick, that a prop has ''infinite angles'' of orientation, which can cause some truly horrifying things to happen before the game either deletes the offending object or [[RealityBreakingParadox implodes on itself]] and crashes.
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* Unintentional example in ''Videogame/GarrysMod''.''VideoGame/GarrysMod''. Placing certain physics constraints on a prop can cause the [[WreakingHavok Havok physics engine]] to decide that within a single process tick, that a prop has ''infinite angles'' of orientation, which can cause some truly horrifying things to happen before the game either deletes the offending object or [[RealityBreakingParadox implodes on itself]] and crashes.

* Comic example: the Flanders's rebuilt house in ''TheSimpsons'' episode "Hurricane Neddy" features many impossible features.
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* Comic example: the Flanders's rebuilt house in ''TheSimpsons'' ''WesternAnimation/TheSimpsons'' episode "Hurricane Neddy" features many impossible features.

* Soviet short animated film {{WesternAnimation/Pereval}} featured graphics by practicing topologist A. Fomenko.
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* Soviet short animated film {{WesternAnimation/Pereval}} ''WesternAnimation/{{Pereval}}'' featured graphics by practicing topologist A. Fomenko.

* A [[http://en.wikipedia.org/wiki/Tessaract tesseract]] is a "four dimensional cube". Just as a square is only one face of a cube, a cube is only one "face" of a tessaract. [[YourHeadAsplode Think about that for a second]]. The vertex of the tesseract is adjacent to four edges, the vertex figure of the tesseract is a regular tetrahedron. The dual polytope of the tesseract is called the hexadecachoron and... [[AustinPowers oh no I've gone cross-eyed.]]\\
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* A [[http://en.wikipedia.org/wiki/Tessaract tesseract]] is a "four dimensional cube". Just as a square is only one face of a cube, a cube is only one "face" of a tessaract. [[YourHeadAsplode Think about that for a second]]. The vertex of the tesseract is adjacent to four edges, the vertex figure of the tesseract is a regular tetrahedron. The dual polytope of the tesseract is called the hexadecachoron and... [[AustinPowers [[Film/AustinPowers oh no I've gone cross-eyed.]]\\

* Most people think of M.C Escher when asked about impossible shapes, such as the impossible triangle and impossible cube. This is acutally a misconception. OscarReutersvard was an artist from the 1940's was hailed as "The Father of Impossible Figures". Seriously, just Google image search his name and everything that comes up is a total MindScrew.
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* Most people think of M.C Escher when asked about impossible shapes, such as the impossible triangle and impossible cube. This is acutally actually a misconception. OscarReutersvard was an artist from the 1940's 1940s was hailed as "The Father of Impossible Figures". Seriously, just Google image search his name and everything that comes up is a total MindScrew.

* String theory (or hypothesis) predicts the existence of over 10 spacial dimensions, most of them however would be curved into themselves in an extremely small scale (think a millionth of a proton) so we cannot perceive them. One way to imagine them would be like drawing a line on a piece of paper; it looks like it only has one dimension, but if you zoom in really close, the drawn line would also have a width and a height.
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* String theory (or hypothesis) predicts the existence of over 10 spacial spatial dimensions, most of them however would be curved into themselves in an extremely small scale (think a millionth of a proton) so we cannot perceive them. One way to imagine them would be like drawing a line on a piece of paper; it looks like it only has one dimension, but if you zoom in really close, the drawn line would also have a width and a height.

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26th Nov '15 4:10:04 PM Mephistopheles
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* The house in VideoGame/LayersOfFear is an example of this. If you walk through one door and then attempt to leave through it you'll find yourself in a completely different room than where you had started.
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* The house in VideoGame/LayersOfFear ''VideoGame/LayersOfFear'' is an example of this. If you walk through one door and then attempt to leave through it you'll find yourself in a completely different room than where you had started.
26th Nov '15 4:09:45 PM Mephistopheles
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* The house in VideoGame/LayersOfFear is an example of this. If you walk through one door and then attempt to leave through it you'll find yourself in a completely different room than where you had started.

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24th Nov '15 1:59:55 AM Wuz
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SCP-033 doesn't fit this trope. A few others are debatable, but I'm gonna leave them here for now.
** [[http://scp-wiki.wikidot.com/scp-033 SCP-033 ("The Missing Number")]] is a missing integer. Any surface it's written on will begin to break down. -->'''Prof. █████████:''' We know that after 2 comes 3 and after 3 comes 4. What this formula proves is that we missed a number somewhere. Imagine if all our technology was based on the belief that after 4 came 6. We simply didn't know or conceive of 5. That is in essence what this formula proves. We missed a number. ... I don't think it "destroys" anything. I think it tries integrating itself into our system and our system can't hold it.
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