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Questions tagged [alien-geometry]

This tag is to be used when considering the geometry of the universe itself. It refers not to extraterrestrial species, but to geometries completely foreign to normal experience.

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9 votes
3 answers
3k views

How do rivers work in a hyperbolic world?

So, I want to write a story set mostly in a world using hyperbolic geometry (except brief beginning and end bits with the main characters coming from/returning to our world), but I'm a little confused ...
David Monroe's user avatar
0 votes
1 answer
183 views

Does this Non-Hausdorff winged quadruped anatomy actually work? [closed]

The design features two non-contacting 'branches', one for the wings and another for the forelegs The ribcage is roughly avian, and exists on both branches. Attached are a pair of feline-type forelegs ...
Ichthys King's user avatar
  • 16.2k
4 votes
3 answers
418 views

Could three-dimensional beings engineer a multi-dimensional structure?

Consider the bigger-on-the-inside concept of sci-fi staples like the TARDIS from Doctor Who. A generally accepted explanation for how a space’s interior could be larger than its exterior shape and “...
inkwell87's user avatar
  • 941
4 votes
1 answer
204 views

How would one navigate and explore a planet with a non-euclidian surface using current technology?

On this planet space is non-euclidian in an non-uniform way. This means that two random points (A and B) on this planet could have the following properties (exact numbers are arbitrary): One could ...
KronosCult's user avatar
-2 votes
1 answer
188 views

How would Mathematics and Sciences had developed in a strongly non-Euclidean universe? [closed]

The geometry of our universe is, on human scale, Euclidean. This means that our everyday experience gives us a good understanding of $\mathbb{R}^2$ and $\mathbb{R}^3$, which in turn is of great help ...
rosan98's user avatar
  • 101
3 votes
2 answers
159 views

How can I have normal density matter in higher dimensions?

Background The problem of sphere packing in higher dimensions is well known. In summary, the volume that equal-sized spheres (or hyperspheres) can fill inside a cube (or hypercube) decreases with ...
Abanob Ebrahim's user avatar
15 votes
9 answers
5k views

Can an n-dimensional being hurt an (n+x)-dimensional being?

Can a N dimensional being physically interact with a N+X dimensional being "sliding" a part of itself in said N dimensional world? Giving it some thought I came up with three options: Yes, ...
FeroleSquare's user avatar
2 votes
2 answers
185 views

Is this material topologically sound?

The material is a normal substance, made of atoms and compounds just as in reality. However, it exists in a non-Hausdorff realm, and has a unique property relating to that: Unlike most objects, which ...
Ichthys King's user avatar
  • 16.2k
27 votes
13 answers
6k views

Is there a good geometric analogy for a 'trap' dimension that you can stumble into easily but is very hard to exit?

I have a magical children’s fantasy land, which is bordered by mountains on its northern side. I want to make it so that anyone travelling too far north is likely to enter one of many trap pocket ...
user avatar
2 votes
4 answers
374 views

Pyramid step height question: is my math correct? [closed]

I'm writing a bit involving a pyramid. The pyramid is 400 feet in width, 150 feet tall, and one side has 100 steps ascending to the top. The first step is 36 inches (3 feet) tall, and each successive ...
William M-B's user avatar
3 votes
2 answers
271 views

Could this non-Hausdorff world with two skies be logically coherent?

Dicaelus is a strange world. It is flat, with a deep sea covering the world. Above this sea are endless archipelagos of floating islands The strange part is that the vertical axis is not a regular ...
Ichthys King's user avatar
  • 16.2k
4 votes
2 answers
287 views

Understanding the universe as a 3-dimensional surface

When thinking about the shape of the universe in my story I have been looking into it being a 3-manifold. As I understand it, space would be a 3-dimensional surface and for a small scale observer ...
user avatar
12 votes
5 answers
793 views

What would the sky look like on an infinite plane?

The world is an infinite plane with an Earth-like surface. It has an atmosphere, but it has finite height Because of this, and how fields work, this should give us the same gravity all the way up, ...
Ichthys King's user avatar
  • 16.2k
5 votes
1 answer
180 views

Equipotential liquid surfaces in a universe which uses the infinity norm as a metric

Premise On viewing this question, I wondered what the small-scale behavior of drops of liquid in that world would be. What would happen to small volumes of liquids in an atmosphere? Calculations For ...
Mous's user avatar
  • 153
4 votes
1 answer
293 views

Can we build a planet with a hyperbolic surface?

The hyperbolic plane has some fascinating story potential, but just declaring that your story takes place on a hyperbolic plane seems like a clear fantasy, with all the same kinds of problems that ...
Logan R. Kearsley's user avatar
12 votes
2 answers
460 views

Do stars work in hyperbolic space?

Any curved space is approximately Euclidean on small enough scales, so for a sufficiently large characteristic length (significantly larger than the radius of the smallest real stars) the answer is ...
Logan R. Kearsley's user avatar
2 votes
2 answers
1k views

Is there a mathematical way to calculate the density, volume, etc of a planet just using mass as data?

while I was working on the language I was thinking about the planet and I don't have the mathematical data, I have a fairly done map but not the data and it would be interesting to add it. As data I ...
SFC-2's user avatar
  • 45
5 votes
1 answer
151 views

My in-atmosphere traversible wormhole, does it make sense, and what propulsion is needed to gain access to it?

I am trying to make up my own special Wormhole concept, researching and trying to understand what the practical and theoretical sciences we have, and am curious if its good or bad? The simple idea is ...
NagaPrince's user avatar
1 vote
1 answer
200 views

Considering a sentient species which is at the physical scale of chemical molecules, what would their higher limit of observation be?

This sentient species survives at the molecular scale and is capable of manipulating their environment by ingesting/ engulfing their environmental molecules and electrodynamically manipulating them ...
Kaustubh Sinha's user avatar
4 votes
2 answers
183 views

How do intelligent spherical creatures build houses?

Imagine there is one intelligent species known as balli, they are as big as a basketball and can communicate to each other by emitting lights. They do not have mouth as they can absorb energy directly ...
user6760's user avatar
  • 48k
2 votes
1 answer
124 views

Evolution of a humanoid race

I've built a humanoid race who (in a long story short) left their home planet and were forced to leave the planet. I am not fully sure how they looked like while they were still on their planet, but I ...
FableSisters's user avatar
7 votes
1 answer
243 views

Could a 3+1 dimensional universe have a spacetime curvature that never reduces to Newtonian Gravity?

I was thinking of a universe with 3+1 dimensions, in which the spacetime near a massive body is curved. If this universe was empty of energy and matter then the spacetime geometry would reduce to ...
Anders Gustafson's user avatar
5 votes
3 answers
478 views

Map projection for a pseudospherical world

A pseudosphere (or antisphere or tractricoid) has a surface of constant negative Gaussian curvature, in contrast to a sphere, which has constant positive Gaussian curvature. Source: http://xahlee....
rek's user avatar
  • 13.1k
2 votes
2 answers
232 views

Could a universe with 3+1 dimensions, and spacetime curvature that is different from that of General Relativity be self consistent?

I was thinking of a universe that has 3 spatial dimensions and one temporal dimension, and in which the spacetime around massive objects is curved. However the geometry of spacetime near a massive ...
Anders Gustafson's user avatar
1 vote
4 answers
232 views

How can early people prove that their planet is a cuboid?

Imagine a cuboid planet with a thick atmosphere orbiting a star similar to our Sun. The inhabitants are as intelligent as humans and recently discovered the universal laws of gravitation and motion ...
user6760's user avatar
  • 48k
2 votes
3 answers
486 views

How would roads and buildings be constructed if universe does not allow parallel lines? [closed]

Imagine we are living in a parallel universe where the parallel lines can only exists as imaginary lines just not in the real physical world, how would road and skyscrapers work in such a universe?
user6760's user avatar
  • 48k
10 votes
1 answer
560 views

How can people adjust spoken language to adapt for the discovery that they live on a non-orientable surface?

Follow up to How can orientation-discriminating people keep their views when it turns out they live on a non-orientable surface? To quickly summarize the world, their are rightie and leftie people ...
Christopher King's user avatar
4 votes
3 answers
686 views

What 4D shape could best fit a looping world?

I have an idea for a world such that the world itself is like a large loop. The best way I can think to describe it is going step by step through the "loop". Imagine a planet-like object; a sphere ...
Iter's user avatar
  • 940
3 votes
0 answers
421 views

What would the periodic table look like in 2 dimensions? [closed]

I've read this question What would the periodic table of a 4-Dimensional universe look like?, and I think it answers part of my question about how atomic physics would work, but I'm not sure. Would a ...
Pyrania's user avatar
  • 646
11 votes
1 answer
490 views

How would crystals be different in hyperbolic space?

Let's say our world is set in a hyperbolic space with a curvature K of −1 per 9 square meters. How would crystals be different than those in our world (assuming that the atoms are the same as the ...
Christopher King's user avatar
2 votes
3 answers
217 views

Given a liquid or gas environment, would radial symmetry be an advantage over bilateral?

Europa, Jupiter or small planets offer different environments and gravity for alien life to evolve. I see many advantages to life possessing radial symmetry in both lower and higher gravity ...
J. Mayberry's user avatar
113 votes
11 answers
12k views

Would planets be cubic in my "cuboverse"?

Summary The main idea behind the "cuboverse" is that spacetime distances are measured by (something close to) the sup norm or infinity norm. Under this norm, spheres (the set of points at a fixed ...
pregunton's user avatar
  • 1,526
4 votes
2 answers
360 views

Strategic Value of a 720 degree line

In this world, there is a line of 720 degrees, as opposed to Strategic Value of a line of symmetry which has a line of 180 degrees. In particular, looking at a cross section of the world, imagine ...
Christopher King's user avatar
56 votes
37 answers
12k views

Shapes for an infinite animal?

This creature exists in an infinite world, a flat landscape that extends ad infinitum, where light rains from the sky from infinity during recurrent day-night cycles, and, similarly, the ground goes ...
SilverCookies's user avatar
8 votes
2 answers
312 views

How does the air remain stationary in The Big Blue?

The Parachute Cities fall endlessly, ploughing their way downwards through an infinite blue sky. The Big Blue is a universe of sorts. It certainly has no bottom, but it does have a concept of ‘down’. ...
Joe Bloggs's user avatar
  • 66.4k
22 votes
10 answers
5k views

How to prevent your enemies from digging under you?

So, my world is a sphere (roughly) within hyperbolic space. Since the surface areas of spheres in hyperbolic space grows exponentially with radius, it has the same surface area of the Earth (indeed, ...
Christopher King's user avatar
3 votes
2 answers
457 views

Warfare on a "plane" of "islands"

In my question, a space fabric "plane" consists of many "islands" strewn about, and any point of the plane which isn't part of an island is "bottomless". The "gravity" at a point is affected by the ...
user_194421's user avatar
11 votes
5 answers
2k views

How to navigate the hyperbolic world

Let's say our world is set in a hyperbolic space with a curvature $K$ of $-1$ per $9$ square meters. The surface of our world is a hyperbolic plane (approximately, there are still hills and valleys ...
Christopher King's user avatar
8 votes
1 answer
259 views

How to use a balloon at the Center of the Earth?

Imagine a world like Pellucidar or Skartaris. This world exists on the inside of a 'hollow Earth'. The laws of physics apply as normal, except as follows There is a gravitational force that attracts ...
kingledion's user avatar
  • 85.6k
7 votes
2 answers
2k views

What if a traversable wormhole hits the earth?

So, I the question of what if a black hole hits the earth has been asked to death by various people, but what if the somewhat tamer wormhole hits the Earth? In particular, we'll say that one mouth is ...
Christopher King's user avatar
3 votes
4 answers
424 views

Strategic Value of a line of symmetry

So in my world, there is a line of 180 degree symmetry. What this means if that if we assign it coordinates of (0,0,z), then (x,y,z) and (-x,-y,z) will be the same point. The z=0 plane is the ground. ...
Christopher King's user avatar
19 votes
6 answers
910 views

How can orientation-discriminating people keep their views when it turns out they live on a non-orientable surface?

In my world, there are two types of people, lefties and righties. They have opposite orientations, which means they are mirror images of each (they are Enantiomers of each other essentially). ...
Christopher King's user avatar
3 votes
0 answers
199 views

What would a universe without relativity be like? [duplicate]

Our Intrepid Researcher has fallen down the rabbit's wormhole, and found herself in a Strange New World. While attempting to determine the local force of gravity, she notices that her gold (plated) ...
Tacroy's user avatar
  • 1,032
8 votes
2 answers
722 views

At what scale would negative curvature be noticeable (and a nuisance to the flat space society)?

After playing some HyperRogue, I got interested in the use of hyperbolic geometry in WorldBuilding, in particular how an area grows exponentially with respect to its radius. Let's say that the ...
Christopher King's user avatar
11 votes
3 answers
559 views

Does gravity converge in a wrap-around universe?

This is a follow up to What would physics be like in a wrap-around universe? PyRulez commented, “Will gravity still make sense? (Namely, will it converge or not)?” This was bantered about in the ...
JDługosz's user avatar
  • 69.6k
4 votes
3 answers
266 views

What extradimensional topology would explain looping forces? [closed]

In my magical world there are two contrary forces, or rather essences that flow in the two opposite directions of another dimension perpendicular to our own. One is named aether and flows "up", the ...
AngelPray's user avatar
  • 9,732
9 votes
8 answers
4k views

How can we 'fill-up' a 4D space with 3D matter?

Imagine that you need to fill-up a 4D unit hypercube with 3D unit cubes of water. At first, I thought you'd need an infinite amount, arguing that it would take an infinite number of stacked 2D ...
Abs's user avatar
  • 91
37 votes
8 answers
6k views

How can it be bigger on the inside

We have these "magical" items everywhere in fiction; from the classic rabbit coming out of a hat illusion, to the TARDIS from Doctor Who, to Newest Magical Beast Newt Scamander Briefcase. These items ...
Hariz Rizki's user avatar
  • 1,784
2 votes
2 answers
568 views

Is there a plausible way to exchange matter between spatial dimensions?

Assuming humans live in dimension 3+1; 3 spatial dimensions, length width and height, and one dimension of time, Is it possible to move matter from our dimension 3+1 to another, such as 4+1 (adding a ...
Zxyrra's user avatar
  • 20.6k
5 votes
2 answers
582 views

Machines in four spatial dimensions

Assuming that we have a universe with four spatial dimensions plus time, within which atoms exist that can form solids, liquids, gases and plasmas, the compounds that can be formed having physical ...
Monty Wild's user avatar
  • 63.3k