this post was submitted on 29 Aug 2023
675 points (97.9% liked)

xkcd

8828 readers
21 users here now

A community for a webcomic of romance, sarcasm, math, and language.

founded 1 year ago
MODERATORS
675
submitted 1 year ago* (last edited 1 year ago) by [email protected] to c/[email protected]
 

Link to comic: https://xkcd.com/2821/

top 41 comments
sorted by: hot top controversial new old
[–] [email protected] 115 points 1 year ago (2 children)

I spent way too long trying to figure out why the guy and the ice cream shop were flying, and how he would move horizontally in he air...

[–] [email protected] 38 points 1 year ago* (last edited 1 year ago) (2 children)

I couldn't tell what I was looking at until I searched for an explanation. All I could see was a person falling into some water past a floating ice cream stall. It's supposed to be a beach:

https://www.explainxkcd.com/wiki/index.php/2821:_Path_Minimization

[–] [email protected] 27 points 1 year ago

"we have a beach at home"

the beach in question

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

Yeah, I just thought it was two dudes racing to get ice cream first.

[–] [email protected] 1 points 1 year ago

I was more like: but if he choses the alternative paths, he doesn't get the ice cream - that doesn't make sense! Then I understood our priorities differ.

[–] [email protected] 77 points 1 year ago* (last edited 1 year ago) (2 children)

Alt text.

Of course you get an ice cream cone for the swimmer too! You're not a monster

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

Now I want to see someone swimming with a cone of ice cream in each hand.

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

You want me to wear my swim trunks or get a bikini.. Warning before your answer: only one body type has the bouyancy to pull it off.

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

As an Aussie, I don't see why that is unusual. You use your feet. But if it's only two icecreams, then you hold them both in one hand and swim with the other one. All I can say about this one though is that this is a very flat beach: Waves would ruin the icecream pretty bloody fast. Must be a river or something.

Do people not swim with icecreams in other countries?

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

Do people not swim with icecreams in other countries?

Never heard of anyone doing it no, so probably not? 🤷

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

Huh. Stuff I never expected to be unique to Oz.

Swimming with something that can't get wet is not unheard of here. I sometimes swim a book over to somewhere to read, or a phone to a good place for a photo too.

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

See, that IS completely unheard of here! If it's not supposed to be wet, we wouldn't dream of swimming with it!

I don't know if it's because you guys are born excellent swimmers like Norwegians are with skiing, but I don't know ANYONE who wouldn't assume that swimming with something invariably means getting it wet 😄

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

Thanks, was disappointed about no alt text 🙏

[–] [email protected] 62 points 1 year ago (1 children)

It is simply polite to include a link to the original https://xkcd.com/2821 as per the Artist's desires.

Yes, I saw the explain, but that isn't to the actual origin.

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

Edited and added it. Thanks for the heads up

[–] [email protected] 20 points 1 year ago (2 children)

and I thought this had to do with light refraction lol

[–] [email protected] 19 points 1 year ago

I mean, it kinda does?

[–] [email protected] 19 points 1 year ago* (last edited 1 year ago) (2 children)

It does: Light does not follow the path of minimal distance between two points, but the path of minimal time. This is called Fermat's principle.
Because water has a higher refraction index than air, light is slower in it and therefore takes a longer time to travel through it. Thus, it takes less time to take a longer path that spends more time in the air.
Fun fact: The underlying law of this principle is the principle of least action. This is the most basic law of nature we know of and can be used to derive all of physics.

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

So... Nature is lazy?

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

I'd add to this that, if I'm not mistaken, it's because light takes all possible paths and the average measured time is longer

[–] [email protected] 2 points 1 year ago* (last edited 1 year ago)

The probability of a path it takes is the sum of all possible paths. Richard Feynman uses this exact swimmer in the water example during one of his lectures of physics.

[–] [email protected] 17 points 1 year ago (1 children)

If like me you can't see the picutre of the post, here is the original image:

revealxkcd #2821

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

What's up with that? I can't see any of the pictures hosted here.

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

I’m not positive but it might be due to the steps the Lemm.ee admin is taking to combat the CSAM uploads that have been happening and prevent the server’s administration team from being liable for potentially harmful and illegal images being hosted on their server.

[–] [email protected] 15 points 1 year ago (3 children)

Path that maximises time would be some kind of space-filling curve. Maybe it does that off panel?

[–] [email protected] 13 points 1 year ago (3 children)

Basically, yes. The path that maximises time goes around the world, so starts by going up off the top of the screen, and re-enters at the bottom.

Technically I think it could be a little longer by spiralling around the world several times, still reaching the target point despite going “in a straight line”. If we ignore the “straight line” restriction, which some of the other paths already do, then the sky’s the limit. Technically actually, the sky isn’t the limit, and the path could criss-cross over the whole planet first, and the air, and the whole galaxy, before reaching the destination as the last feasible space to arrive at. Personally I think that’s too complex for xkcd, if they are going for complex I’m sure they would have come up with something about paths through n-space and black-hole theory that is beyond my pay grade.

Xkcd good ;)

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

It’s the path that maximises time, not distance. Technically the path that maximises time could look the same as the path that minimises distance, they could just sit down and wait decades until a minute before they die of natural causes and then get up and head to the end, and that’s assuming that they need to arrive alive.

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

It would have to be a different panel but you could draw it as the whole screen being black except of the character and the destination.

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

If it's a space filling curve as Octoperson suggested, it wouldn't need to be big. Isn't a space filling curve infinite length if its offset is infinitesimal?

[–] [email protected] 1 points 11 months ago

It's to do with light paths and diffraction. The time maximising path still hast to be a valid path.

[–] [email protected] 1 points 1 year ago

path that maximizes time? just don't move. at all

[–] [email protected] 12 points 1 year ago

Somehow he keeps on making awesome stuff, after all these years

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

this was our first physics lesson in year 11 in the 90s

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

Who could've guessed that you were training to be google maps so early?

[–] [email protected] 6 points 1 year ago (2 children)

Shouldn't the path that maximizes time have its line go through literally everywhere in the globe rather than just going around it once?

[–] [email protected] 16 points 1 year ago (1 children)

Yes, but by then the ice cream has melted

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

We need a calculation using the speed at which ice cream melts and the max distance he could walk.

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

The path that maximizes time would just be going back and forth and not approaching the endpoint.

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

I feel it's a missed opportunity to exclude the ice cream sales and drowning deaths correlation, but that's just me. I like the maximal time route goes up, though.

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

Thanks for reminding me that I have completely brain dumped all of trigonometry