'''Basic Trope''': Spatial arrangements that cannot be explained by the ordinary laws of physics.
* '''Straight''': [[Literature/TheCallOfCthulhu Acute angles that behave like obtuse,]] [[Literature/{{Discworld}} triangles with three right angles,]] places whose qualities vary depending on the angle you are looking from...
* '''Exaggerated''':
** Everything looks like a painting by Creator/MCEscher, or worse, an acid dream.
** EldritchLocation
* '''Downplayed''':
** The structures do not break laws, they are just really, really weird.
** A place looks normal, until someone tries to make a map of it and realizes that two entirely different rooms should occupy the same three-dimensional space, but don't.
* '''Justified''':
** It was built by {{Sufficiently Advanced Alien}}s or {{Eldritch Abomination}}s.
** The geometry of the entire universe is different.
* '''Inverted''': Even cosmic horrors have to obey physics.
* '''Subverted''': It's just an optical illusion.
** The 'strange geometry' are in fact perfectly normal just because it doesn't match ignorant human intuitions or dogma doesn't make it wrong or sanity rending. Confusing at first but the only people 'driven mad' were really wearing a MaskOfSanity based upon their preconceptions of 'normal'.
* '''Double Subverted''': [[Film/{{Labyrinth}} But it shouldn't have worked as such in the first place.]]
* '''Parodied''': [[WesternAnimation/LooneyTunes The painted tunnel behaves like a tunnel... for some people!]]
* '''Zig Zagged''': Sometimes the laws of physics work despite having been proven not to.
* '''Averted''': Aliens simply can't break the laws of physics.
* '''Enforced''':
** [[MindRape "Let's see how many sanity points we can make the reader lose while reading this."]]
** The MinusWorld is taking World 6's texture ID table as its sector linking table.[[note]]Leading to such oddities as most sectors connecting (only) back to sector 0 whereas each sector can only connect to 4 other sectors at most, making navigation … [[{{understatement}} difficult]].[[/note]]
* '''Lampshaded''': [[Webcomic/EightBitTheater "I told you we should have taken the stairs. All these temples have stupid hyper geometry."]]
* '''Invoked''': "Oh, I thought Pi being not exactly three was a bit untidy, so I changed it."
* '''Exploited''': Alien geometries are used to make technology that would be otherwise completely impossible.
* '''Defied''': "In my dimension, we follow the law! The laws of physics!"
* '''Discussed''': [[Series/DoctorWho "It's bigger on the inside!"]]
* '''Conversed''': "Just you wait, in a second the water is going to start running upwards and then the stairs are going to curve on themselves..."
* '''Deconstructed''':
** The aliens are attacked on sight by humans, due to the fact that the sheer ability to defy geometry causes humans to fear and distrust them.
** Any human who sees the structures will be DrivenToMadness by the breaking of how they thought the universe worked.
* '''Played For Laughs''': The aliens create things that look like they were made by Doctor Seuss.
* '''Implied''': [[ShownTheirWork In a series which gets the math rigorously right]] the stats of the alien ship appear to have [[SciFiWritersHaveNoSenseOfScale deeply wrong numbers]] and WordOfGod is insistent that it is not a mistake in the book.
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Please note you should really not play with AlienGeometries. They have the unfortunate [[MayContainEvil side effect]] of summoning {{Cosmic Horror}}s.
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%% Optional items, added after Conversed, at your discretion:
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%%* '''Implied''': ???
%%* '''Reconstructed''': ???
%%* '''Plotted A Good Waste''': ???
%%* '''Played For Drama''': ???