Anonymous at Wed, 6 Mar 2024 17:06:35 UTC No. 16060064

Why would I want my food to walk around a cube?

Anonymous at Wed, 6 Mar 2024 17:10:03 UTC No. 16060067

Rhombus?

Anonymous at Wed, 6 Mar 2024 17:15:41 UTC No. 16060071

>>16060067
it's cuboid, learn to read

Anonymous at Wed, 6 Mar 2024 17:31:52 UTC No. 16060083

>>16060058
I'm pretty sure it's B, though.

Anonymous at Wed, 6 Mar 2024 17:32:43 UTC No. 16060084

Distance to point x via the red path is
[math] \sqrt{9+(1-x)^2} [/math]
and via the blue path is
[math] \sqrt{4+(2+x)^2} [/math]

Intuitively it is clear the most distant x is when these two paths equal each other which is true at x=1/3. In that case the distance is \sqrt{9+4/9} which is clearly greater than the blue path to B, sqrt{8} (although it is not greater than the longer red path to B).

Anonymous at Wed, 6 Mar 2024 17:36:48 UTC No. 16060088

>>16060083
The distance to B is sqrt(8) but there is point with distance sqrt(130)/4.

Anonymous at Wed, 6 Mar 2024 17:36:52 UTC No. 16060089

>>16060058
you can do this one easy trick to find any geodesic on a 2 dimensional surface embedded in 3 dimensions mathematicians hate it!
just take a string connect the points and draw it taut,

Anonymous at Wed, 6 Mar 2024 17:42:27 UTC No. 16060091

>>16060084
Wrong lol.

Anonymous at Wed, 6 Mar 2024 17:43:44 UTC No. 16060093

>>16060084
Do this path next.

🗑️ Anonymous at Wed, 6 Mar 2024 17:43:55 UTC No. 16060094

>>16060091
No actually you're wrong

Anonymous at Wed, 6 Mar 2024 17:49:58 UTC No. 16060099

>>16060094
>No actually you're wrong
kek

Anonymous at Wed, 6 Mar 2024 17:50:59 UTC No. 16060100

>>16060084
It can't be the blue line or the red line. By symmetry argument the point must lie somwhere on the intersection between the cube and a plane which goes through the two verticle edges A and B lie on. Just a little hint.

Anonymous at Wed, 6 Mar 2024 17:55:03 UTC No. 16060105

Arrange me the meeting with the person to buy out the problem and try produce for me the gift of doing business/affecting external to this problem please.

🗑️ Anonymous at Wed, 6 Mar 2024 17:55:52 UTC No. 16060106

>>16060093
Ok fair enough, my mistake. Make x=1/2 to make the black and blue paths equal, and we can add some extra y distance to make the red path equal to black and blue.

sqrt((2-y)^2 +(5/2)^2) = sqrt((3+y)^2+(1/2)^2)
y=1/10

Anonymous at Wed, 6 Mar 2024 18:08:51 UTC No. 16060122

>>16060106
carry on
few more tries and you will have it

Anonymous at Wed, 6 Mar 2024 18:14:17 UTC No. 16060131

>bug can't go through the cuboid
So any point in the cuboid would be the longest?

Anonymous at Wed, 6 Mar 2024 18:23:37 UTC No. 16060143

>>16060058
should be B tho... it's only otherwise if you flatten it.

Anonymous at Wed, 6 Mar 2024 18:30:12 UTC No. 16060152

>>16060122
Ok last try.

blue line: (2-x)^2+(2+x)^2 = 8+2x^2
red line: (3-x)^2+(1-x)^2
so x= 1/4

and the total distance is sqrt(8+2x^2) = sqrt(130)/4

Anonymous at Wed, 6 Mar 2024 19:09:29 UTC No. 16060220

>>16060152
yes!
I was right to believe in you
apparently /sci/ is only semibrainlets

>>16060143
uh, that's so stupid it doesn't even reach level of wrong
but on the other hand, you independently discovered manhattan metric, so congrats

Anonymous at Wed, 6 Mar 2024 19:26:04 UTC No. 16060232

>>16060152
I'm genuinely surprised it's not B.

Anonymous at Wed, 6 Mar 2024 19:46:18 UTC No. 16060248

>>16060058
It digs a hole through the cube and goes directly to B.

Anonymous at Wed, 6 Mar 2024 19:49:52 UTC No. 16060253

>>16060248
it's hollow. it will need to crawl over surface anyway, doesn't matter if on the inside or outside

Anonymous at Wed, 6 Mar 2024 20:31:36 UTC No. 16060316

>>16060152
>>16060220
Ah, so we can actually go diagonally on the surface of the cube, just not *inside* (going through the solid).

Anonymous at Wed, 6 Mar 2024 20:38:29 UTC No. 16060323

>>16060058
it's called a rectangular prism

Anonymous at Wed, 6 Mar 2024 21:10:11 UTC No. 16060367

>>16060323
congrats for knowing another name for rectangular cuboid

Anonymous at Wed, 6 Mar 2024 21:23:45 UTC No. 16060376

>>16060316
Is that the shortest path?

Anonymous at Wed, 6 Mar 2024 21:30:31 UTC No. 16060378

>>16060376
yes
the shortest paths are three, basically you can't make it shorter by going other ways

Anonymous at Wed, 6 Mar 2024 21:32:39 UTC No. 16060381

>>16060378
I can't see where the paths are on the flattened image, or rather where they'd be in 3D.

Anonymous at Wed, 6 Mar 2024 21:41:36 UTC No. 16060393

>>16060058
>At which point of this cuboid
gramatically incorrect sentence
>Longest time to reach there?
Reach where? We start at point A and move where? To B? This question is worded inappropriately.
>The bug cannot go through the cube, only around it.
Does the bug stick to the cube or can it go around it? Does it walk only on edges or also on the walls?
>Hint: It's not B.
Then what is the purpose of B?
This entire question makes no sense.

Anonymous at Wed, 6 Mar 2024 21:43:30 UTC No. 16060395

>>16060378
Oh shit. I misread it. I thought the bug could go through the cube.

Anonymous at Wed, 6 Mar 2024 21:55:44 UTC No. 16060406

>>16060058
I pick the corner adjacent to B, and cut off half the bugs legs. That ought to slow the fucker down

Anonymous at Wed, 6 Mar 2024 23:13:54 UTC No. 16060506

>>16060071
No, i said Rhombus

Anonymous at Wed, 6 Mar 2024 23:41:05 UTC No. 16060553

>>16060393
Correct. The question is retarded and OP is a faggot.

Anonymous at Wed, 6 Mar 2024 23:55:47 UTC No. 16060569

>>16060393
The purpose of B is to tell you that B isn't the answer, idiot. Otherwise we'd have 50 anons spam the thread with "it's B, it's B!"

Anonymous at Thu, 7 Mar 2024 23:03:47 UTC No. 16061983

>>16060152
How is x=1/4

Anonymous at Thu, 7 Mar 2024 23:16:16 UTC No. 16062010

Now do 4 dimensions.

Anonymous at Fri, 8 Mar 2024 18:07:28 UTC No. 16063194

>>16060084
>>16060152
what is this form of arithmetic called in English again I never learned any of this in English and by this point I've forgotten everything due to the discipline I focused on
I want to git gud at this again damn it

Anonymous at Fri, 8 Mar 2024 18:23:12 UTC No. 16063223

>>16063194
geometry

Anonymous at Fri, 8 Mar 2024 18:32:48 UTC No. 16063243

>>16060058
There are an infinite points on this rectangular prism. The ant will take infinite time to reach the point.

in other words the Ant will have to shrink.

Anonymous at Fri, 8 Mar 2024 19:48:22 UTC No. 16063370

>>16060058
>the longest time
I refuse to be mean to the bug