this post was submitted on 15 May 2025
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[–] Mistic@lemmy.world 9 points 2 months ago* (last edited 2 months ago) (11 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

[–] rowinxavier@lemmy.world 3 points 2 months ago (7 children)
[–] kryptonianCodeMonkey@lemmy.world 3 points 2 months 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.

[–] ptu@lemm.ee 1 points 2 months ago

So those two darker green symbols would represent someone shorter or taller. Totally plausible.

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