this post was submitted on 15 May 2025
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[–] [email protected] 99 points 1 month ago (3 children)

Fools!
…limiting themselves to Euclidean geometry…

[–] [email protected] 27 points 1 month ago (2 children)

Only one of them is limiting himself to Euclidean geometry. The others are perfectly calm.

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[–] [email protected] 2 points 1 month ago

You beat me to it.

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[–] [email protected] 70 points 1 month ago

Saddle shaped universe confirmed

[–] [email protected] 55 points 1 month ago (4 children)

Looks like a tetrahedron to me.

[–] [email protected] 25 points 1 month ago

Exactly! The diagram is simply a schematic.

[–] [email protected] 6 points 1 month ago

Just wanted to … nevermind.

Too late is too is too late is …

[–] [email protected] 4 points 1 month ago (1 children)

That implies one person is observing 3 other people from the above (or flying over), which is not exactly trivial.

[–] [email protected] 3 points 1 month ago

Nobody said it would be easy

[–] [email protected] 3 points 1 month ago

exactly what I came here to say

[–] [email protected] 35 points 1 month ago (1 children)
[–] [email protected] 11 points 1 month ago

ikr? It's like some people don't even recognize a tetrahedron

[–] [email protected] 23 points 1 month ago (2 children)
[–] [email protected] 11 points 1 month ago (1 children)

Pffft, Dnd had the 'first diagonal 5, second diagonal 10' rule. It worked well enough, aye?

[–] [email protected] 6 points 1 month ago (3 children)

It doesn't anymore =(

5e uses diagonal = 5'

[–] [email protected] 5 points 1 month ago (1 children)

Alternating diagonals is in the (2014) DMG as an optional rule at least

[–] [email protected] 5 points 1 month ago

Oh good! Octagons are a much better approximation of a circle than squares

[–] [email protected] 4 points 1 month ago

4e just used "squares" instead of 5 feet, but it, like 5e, used chebyshev distances.

Pathfinder 2e uses alternating diagonals though.

[–] [email protected] 4 points 1 month ago

Well anything after 3.5e is a watered-down, bastardized version of the game anyway.

[–] [email protected] 3 points 1 month ago

D&D still doesn't have hexagons?

[–] [email protected] 17 points 1 month ago

Well you see, space isn't flat in this very localized area!

[–] [email protected] 16 points 1 month ago (1 children)
[–] [email protected] 11 points 1 month ago* (last edited 1 month ago) (2 children)

Equal sides in a triangle are only possible if the corners are equal. So, 60⁰ each.

But its height cannot be half of base because of the same Pythagorean theorem

(1,5)²+(1,5/2)²=2,8125

sqrt(2,8125) ≈ 1,677, which is half of a diagonal

So, we get 4 sides that are 1,5 in a parallelogram, but diagonals are 1,5 and 3,354, as opposed to both being 1,5 as shown on the picture

TL;DR: Won't work because Pythagorean theorem

[–] [email protected] 4 points 1 month ago (2 children)

It's funny how we say "because of such and such theorem" as if if some greek dude didn't come up with his little story, the height could totally be half of base.

[–] [email protected] 3 points 1 month ago (6 children)
[–] [email protected] 3 points 1 month ago (1 children)

Yes, it is possible with a 3-sided pyramid, i.e. tetrahedron. If we dont look at all 4 points as being on the same plane but 2 opposite corners being offset above or below the other two, this could totally be a tatrahedron.

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[–] [email protected] 14 points 1 month ago

calm down, they're constraints on distance, not distance

[–] [email protected] 13 points 1 month ago

Funnily enough, this is valid under Chebyshev metric, same that kings in chess follow.

[–] [email protected] 13 points 1 month ago (4 children)

if the people were aranged in 3d in the shape of a tetrahedron (triangular pyramid) this would work out fine

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[–] [email protected] 11 points 1 month ago (1 children)

Tetrahedrons man, tetrahedrons.

[–] [email protected] 3 points 1 month ago (1 children)

So this makes me wonder if one could force a move into a higher dimension by somehow constraining a set of connected distances in this way.

Sort of like protein folding as a way to bootstrap a dimensional jump.

[–] [email protected] 3 points 1 month ago* (last edited 1 month ago)

You might like And He Built a Crooked House by Robert Heinlein - the story of a tesseract-shaped house that folds itself into a real tesseract during an earthquake.

https://en.wikipedia.org/wiki/And_He_Built_a_Crooked_House

[–] [email protected] 9 points 1 month ago

Middle one should be the square root of 4.5 meters, or 2.12 meters

[–] [email protected] 8 points 1 month ago

You're all thinking too two-dimensionally. Clearly the people are being instructed to arrange themselves into a tetrahedron.

[–] [email protected] 7 points 1 month ago (1 children)

What? Everytime I meet other people we always arange ourselves in the shape of a simplex of the appropriate dimension. Doesn't everyone?

[–] [email protected] 5 points 1 month ago* (last edited 1 month ago) (5 children)

So the fifth person to arrive moves to the centre of the tetrahedron and shifts roughly 1.299m into the past or future.

I have a few questions.

  1. How do you attain time offset?
  2. Doesn't that make conversation difficult?
  3. What even is the fifth dimension?
  4. How do you convert a distance in metres into a distance in time? You would surely then have a universal m/s? Oh, wait, there is a universal speed, it's the speed of light, which means 1.299m is equivalent to about 4.3 billionths of a second, which is considerably less impressive for question 1 and just not at all problematic for question 2.
  5. If you're using very fast motion for your time offset, doesn't that make conversation even more difficult? How fast would you need to be going to dilate time for a few billionths of a second? Doesn't Heisenberg uncertainty start to have an impact here? How can you be sure you got it right?
[–] [email protected] 4 points 1 month ago (1 children)

If you have to ask, you wouldn't understand.

[–] [email protected] 3 points 1 month ago

If I understood, I wouldn't have to ask.

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[–] [email protected] 4 points 1 month ago (3 children)

Explanation:

So, Theres the sentence of Pythagoras. It says that c^2^ = a^2^ + b^2^ when the triangle has a 90° corner

Since a square is just 2 triangles, it applies. That means c (the distance from Person a to Person c) should be √(2×1.90^2^). But that is 2.7m.

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[–] [email protected] 4 points 1 month ago
[–] [email protected] 4 points 1 month ago

This is so good hahaha

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