this post was submitted on 29 Nov 2024
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Science Memes

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324
Fuck geometry (lemm.ee)
submitted 5 months ago by [email protected] to c/[email protected]
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[–] [email protected] 87 points 5 months ago (14 children)

This triangle is impossible.

If the distance between B and C is 0, B and C are the same points. If that is the case, the distances between A and B and A and C must be the same.

However, i ≠ 1.

If you want it to be real (hehe) the triangle should be like this:

    C
    | \
|i| |  \ 0
    |   \
    A---B
     |1|

Drawing that on mobile was a pain.

As the other guy said, you cannot have imaginary distances.

Also, you can only use Pythagoras with triangles that have a 90° angle. Nothing in the meme says that there's a 90° angle. As I see it, there are only 0° and 180° angles.

Goodbye, I have to attend other memes to ruin.

[–] [email protected] 6 points 4 months ago* (last edited 4 months ago) (3 children)

As the other guy said, you cannot have imaginary distances.

Incorrect. There are complex valued metric spaces

And even if we assume real valued metrics, then i usually represents the unit vector (0,1) which has distance real 1.

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

That's NOT a metric. That's a measure. Two wholly different things.

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

It can be a pseudometric

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

That's more related to a metric but it still can't be complex valued and it's still not a measure.

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