#Non-Euclidean

[knotty-et-al]

Pseudosphere and dini surface

^ Visualization about the transformation of a pseudosphere into a dini surface.

v Pseudosphere

[acrossdimension]

Hyperbolica (Snow Fight)

[maybeasunflower]

Very nice. :-)

(Also: there are no squares on a sphere, because the interior angles of any quadrilateral with side lengths must add up to strictly more than 4 * 90 degrees on a surface with everywhere positive curvature, such as a sphere.)

(Aka why Saskatchewan isn't actually a rectangle)

I love seeing a meme and being like oh, tumblrs going to love this one

[bumblebeebats]

"Don't just throw ripped jeans away, you can repair them using these 10 cute Visible Mending techniques!!" unfortunately my friend the first point of failure for every single pair of jeans i have owned in my life has been the Crotch and Ass. Knees: fine, cuffs: fine; but 3 years in, and all that stands between the world and my astronaut-patterned taint is 0.5µm of denim worn so thin that every squat threatens to tear it to shreds like wet toilet paper. If the Tiktok craft community could figure out a way to resurrect jeans afflicted in such a way that doesn't involve adding a whole ass buttpatch like some sort of inverse assless chaps situation then that'd be great

[swagrum76]

I have a terrible idea - Non-Euclidean straws. You couldn't even drink from them properly, as the liquid that is sucked up into it might come out somewhere else.

[himmurf]

This cryptid's addition has funny consequences. Like vampires not being able to echolocate like bats since their sounds would be immune to reflect and bounce. Does this mean they are also immune to the reflection of noise not their own? Can a vampire home in on your location by sound without the possibility of being turned around by confusing acoustics? Like Tolkien elves and their non-Euclidean eye balls?

Can a vampire see since visual perception is the reflection of light into the eyes? Do they somehow still see things as if they were devoid of light as a concept? Does the vampire themself reflect any light?

What if you throw something at the vampire that should bounce off? Does the projectile's path warp and bend around the vampire so the objects flies harmlessly around and past them?

What happens if a vampire washes a spoon face up under a heavy tap?

hypothesis: vampires are magically vulnerable to light originating from the sun

observation: moonlight has no effect on vampires, despite being a reflection of the sun

conclusion: this aversion is not a result of light or its origin, but some property of sunlight only present in direct contact

hypothesis: vampires are extremely sensitive to uv radiation

[pep-the-artemis]

Scientists want to ignore the fact that the earth could very well be flat.

note, I'm not a flat earth believer despite what the click bait title says, I just realised that everyone who is a flat earth believer is illiterate and was curious about if I could do a better job at the flat earth.

The core of the globe earth model is the assumption that space-time is euclidean; but it doesn't have to be and all studies conducted trying to prove it have only heavily implied the universe is euclidean. But what if it wasn't? Then it's entirely possible to have a flat plane with the properties of a sphere; elliptical space has this property but we don't live in one of those due to use observing properties of space (mainly other planets exist) which show we don't.

So, are flat earth believers justifiable in their madness, no. Although possible we have insufficient evidence to make any claim that we live in a non-euclidean world so its crazy to jump to bold claims.

[etheasavatar]

What is Ethea?

I'mma just pretend that one of ya'll asked me this question. What IS Ethea?

Ethea is a parallel reality to that of Earth's, though only occupied by a single planet. Sorry fellas, due to size restrictions, I couldn't fit a sun nor moon into there. We got a lighthouse that emulates them. Magic, a fix-all to every problem.

That planet. That planet is also named Ethea. It features one primary Pangaea-like continent. It is also named Ethea. Don't worry, that's all the Etheas.

So, what's it like? Alright, imagine a stereotypical fantasy environment. Now throw in a few kingdoms. Three, actually. Well, one of them is a kingdom-sized refugee camp, and one of them prepares for a war...and then prepares for a war some more. Now divide it into different biomes, cities, and different general locales. Now throw away your map because those do NOT work here.

Traveling in Ethea quite genuinely requires you to use an atlas. Standard single-page paper maps do not work. You can't just travel between regions, you have to find Paths, else you'd walk into a procedurally generated null-energy dreamscape and nobody gets anything good out of those. Put simply, each region is larger on the inside, by a large volume.

Paths are points in space that connect two locations, though many of them require specific criteria to activate and utilize. They, of course, only trigger if you're aware of them and want to use them.

I could go on, but I think that's good enough for now. Nice to meet ya'll, I hope I enjoy this platform.

[the-barefoot-hatter]

Geometry on a curved surface is considered non-euclidean, where regular rules about lines and angles might not apply-

AKA, the AU where you got wasted on your birthday with your Muse and one thing led to another and you REALLY screwed math and now you gotta deal with the results, FORD. (he didn't know he could that! neither did the other one! and neither remembers what exactly they did to do that!!!)

[knotty-et-al]

Knotty's art of today [2023/08/07]

[typhlonectes]

[prism-forgone]

frisky

[kermit-coded]

gorgunit shippers rise up

[valyrfia]

this screenshot alone could power sports rpf for months

[zanukavat]

will that fix your brain? no? was worth a try

[rocketbirdie]

lovingly thinking about how cloud pushes everyone away because everyone he's ever loved has died horribly! AND everyone else he knows has ALSO had everyone they ever loved die horribly too!