IQ test

[Anonymous No.10356598]

If you are a genius (145+ IQ), you should be able to solve this:

[Anonymous No.10356610]

>>10356598
I put a spider at a point and make that the point the bug has to reach.

[Anonymous No.10356618]

>>10356598
Literally B bacause muh cut locus.
Also, that's not the shortest path;

[Anonymous No.10356621]

>>10356618
It ain’t B

[Anonymous No.10356623]

B, but B is forbidden, so any points on upper edge except that one that above A. Bug must move against gravity, so he will be moving slowly.

[Anonymous No.10356625]

>>10356598
A

[Anonymous No.10356626]

>>10356598
Wait, can I chose ANY point on a cube?

[Anonymous No.10356627]

>>10356598
"Which point in a cube should you choose in order to make the bug take the longest amount of time to reach said point?"

[Anonymous No.10356637]

>>10356598
It is in fact B, and OP is a faggot.

[Anonymous No.10356638]

>>10356598
Gotta get all my autism out of my system: that illustration isn't a cube, it's a cuboid

[Anonymous No.10356665]

>>10356623
>>10356637
It ain’t B

>>10356625
Wrong

[Anonymous No.10356669]

>>10356598
I choose B pull the bug off and launch the cube into the sun. It now will take a practically infinite amount of time to reach point B.

[Anonymous No.10356680]

>>10356598
You're a retard OP

[Anonymous No.10356683]

>>10356669
It ain’t B

[Anonymous No.10356694]

>>10356665
not?
A is the only one that needs more than 3 steps as a minimum, assuming you can only move linear
maybe the point at the left of B? I kinda missed that its supposed to be a cuboid, but still A to A is still 4 while A to the one left beside B is only 3 in total (one long side = 2 short side = 1)
A to A are 4 short sides while A to lets call it C is only 3

[Anonymous No.10356701]

>>10356598
A point in the dead middle of the cube since it will take that asshole bug some time to burrow inside and time to burrow should be much greater than time to traverse the area

[Anonymous No.10356702]

>>10356598
Op actually retarded
>cube
>not B
>inb4 outside of """cube"""

[Anonymous No.10356704]

This is the Monty Hall problem of the 21st century.

[Anonymous No.10356706]

>>10356665
>It ain’t B
You are mistaken. Tell us the point you have in mind, and I will show you a shorter path to A from there than the shortest path from B to A.

[Anonymous No.10356709]

>>10356694
>>10356701
Wrong

>>10356702
It ain’t B

[Anonymous No.10356712]

>>10356706
There is a point, but it would give away the answer.

[Anonymous No.10356716]

>>10356598
B

[Anonymous No.10356719]

>>10356712
No, you're just full of shit.

[Anonymous No.10356721]

the one right beside a

[Anonymous No.10356726]

>>10356716
It ain’t B

>>10356719
>>10356721
Wrong

[Anonymous No.10356727]

>>10356598
The point at infinity.

[Anonymous No.10356741]

>>10356598
OP you failed the IQ test when you made this post.

[Anonymous No.10356743]

Both points

[Anonymous No.10356746]

>>10356743
Wrong

[Anonymous No.10356750]

>>10356727
Wrong

[Anonymous No.10356753]

>>10356743
Both points take sqrt5, where B takes 2+sqrt2

[Anonymous No.10356756]

OP here, it's B. Sorry for wasting everyone's time.

[Anonymous No.10356759]

>>10356756
It ain’t B

[Anonymous No.10356760]

there is no point

[Anonymous No.10356763]

>>10356760
Wrong

[Anonymous No.10356765]

>>10356598
(0.75, 0.75, 2)

[Anonymous No.10356766]

Op is retarded troll. Ignore that

[Anonymous No.10356771]

>>10356765
Did I tell you or did you figure it out yourself?

[Anonymous No.10356773]

>he thinks it’s B

[Anonymous No.10356781]

>>10356771
I solved it myself. It's not that hard. Drawing all points reachable in sqrt(8) from A was a nice intuition pump.

[Anonymous No.10356783]

Excellent bait OP, the question itself is filled with contradictions and spelling mistakes making it impossible to find out what the writer wants you to do. Well done.

[Anonymous No.10356784]

>>10356598
My fucking you're all retards. The "longest distance" , my dude.. the bug can literally be going in the same path for infinite time wdym langest path

[Anonymous No.10356787]

>>10356702
>Cube
>Dimensions are not same
OP is retard and so are all the people trying to solve this shit

[Anonymous No.10356788]

>>10356765
Wrong

[Anonymous No.10356789]

>>10356598
If Point B=(x,y,z) then I choose point C (x+.000...1,y,z)

[Anonymous No.10356795]

>>10356781
Nice. I took the two straight line paths to B and shifted both towards the center by X and then set the Pythagorean theorems of both paths equal to each other. Mostly intuition that this was the best possible solution, but I could probably write a proof. Precise answer is sqrt(14) - 3.

I didn’t create the problem, but whoever did is a Supreme Autist.

[Anonymous No.10356797]

ez

[Anonymous No.10356798]

>>10356765
>>10356771
>>10356781
>>10356795
>>10356788
Wrong.

[Anonymous No.10356799]

>>10356784
>>10356789
Wrong

[Anonymous No.10356801]

>>10356797
>>10356798
Wrong

[Anonymous No.10356812]

>>10356798
>>10356799
>>10356801

Wrong

[Anonymous No.10356813]

>>10356799
ahh I see. OP, if you simply fold the cube through the 4th dimension it will take an infinite amount of time to go from point a to point a. You see, the answer is trivial, a proof will not be required for this solution.

[Anonymous No.10356814]

>>10356795
>Precise answer is sqrt(14) - 3.
I don't think it is. 0.75 should be exact. How did you get that?

(0.75, 0.75) is the point equidistant from (-2, 0), (0, -2), (-1, 3), (3, -1), which are the point A rotated to the startpoint of the four possibly optimal routes.

[Anonymous No.10356833]

>>10356814
We both agree it’s on the diagonal right? Take the two routes, one of them is sqrt(8) and the other is sqrt(10). If you shift the point towards the center x in both dimensions (along the diagonal) then the length of the routes are sqrt((2+x)^2 + (2-x)^2) and sqrt((3-x)^2 + (1-x)^2). These two expressions have to be equal, otherwise one will be shorter and therefor suboptimal so you set them equal to each other and get 4 - sqrt(14).

[Anonymous No.10356837]

>>10356813
Wrong

>>10356812
t. salty Bfag

[Anonymous No.10356839]

>>10356797
This seems legit. Sorry OP, how do you expect to decide what the right answer is when you don't even the answer yourself? Or you think you do, but your maths is all wrong?

Its confirmed, OP is a faggot.

[Anonymous No.10356844]

you erase b and put a c there instead

[Anonymous No.10356847]

>>10356839
>>10356844
Wrong

[Anonymous No.10356851]

>>10356844. Nothing says b and c can't exist at the same coordinates

[Anonymous No.10356854]

>>10356851
Wrong

[Anonymous No.10356859]

>>10356854
U cant just say wrong to everythign without knowing yourself

[Anonymous No.10356862]

>>10356598
This question belongs in /x/ OP. At this point you're just making up maths.

[Anonymous No.10356863]

>>10356859
No one would have gotten the correct answer if I didn’t firmly qualify that it wasn’t B.

[Anonymous No.10356865]

>>10356862
It ain’t B

[Anonymous No.10356869]

>>10356598
>>10356621
>>10356665
>>10356683
>>10356709
>>10356726
>>10356746
>>10356750
>>10356759
>>10356763
>>10356788
>>10356798
>>10356799
>>10356801
>>10356812
>>10356837
>>10356847
>>10356854
>>10356865
What's the answer then?

[Anonymous No.10356870]

I don't know the maths behind it, but this is my guess. Also I still think OP is a faggot.

[Anonymous No.10356872]

>>10356870
Wrong

[Anonymous No.10356883]

I think the reason why so many believe B to be correct is because they look at the wrong path from A to B.
>The length of the red path is sqrt(8)
>The length of the green path is sqrt(10)
>The length of the blue path is 2 + sqrt(2)
sqrt(8) < sqrt(10) < 2 + sqrt(2)
So in other words the red path is the one the bug would use to reach B.

[Anonymous No.10356887]

>>10356833
>We both agree it’s on the diagonal right?
Yes.

>If you shift the point towards the center x in both dimensions (along the diagonal) then the length of the routes are sqrt((2+x)^2 + (2-x)^2) and sqrt((3-x)^2 + (1-x)^2).
Can you explain that part?

I got sqrt((2+x)^2 + x^2) and sqrt((1 + x)^2 + sqrt(3 - x)^2). Unfolding pic related.

[Anonymous No.10356900]

>>10356887
What I meant by x is the distance away from B, which is approximately 0.25. Your picture would probably give the same answer.

[Anonymous No.10356902]

>>10356900
You recycle that envelope right now!

[Anonymous No.10356915]

>>10356900
Ah, right. I had x being approximately 0.75.

That said, on that interpretation of x, and your math in >>10356833:

>sqrt((2+x)^2 + (2-x)^2) = sqrt((3-x)^2 + (1-x)^2)
>(2+x)^2 + (2-x)^2 = (3-x)^2 + (1-x)^2
>x^2 + 4x + 4 + x^2 - 4x + 4 = x^2 - 6x + 9 + x^2 - 2x + 1
>2x^2 + 8 = 2x^2 - 8x + 10
>8x = 2
>x = 1/4

[Anonymous No.10356918]

>>10356902
I think using it as math scratch paper IS recycling it, no?

[Anonymous No.10356932]

>>10356915
You’re right I fucked up the math and did a quadratic equation because I had an x^2 leftover.

[Anonymous No.10357118]

Learn to write your fucking problems.

You drew a prism, not a cube.
Is the cube fly-through?
Is the speed of the insect constant?

[Anonymous No.10357148]

>>10356883
That look alright, but is there a path with length longer than 2√2 ?

[Anonymous No.10357183]

>>10356598
>>10356621
where did the triangle inequality touch you, OP?

[Anonymous No.10357257]

>t.105 IQ Physicist

[Anonymous No.10357267]

>>10357257
OP here this is correct

[Anonymous No.10357271]

>>10356765
This is actually better than B, if you have to wrap around the cube, but only slightly.

Minimization length of path needed to reach point

https://www.wolframalpha.com/input/?i=minimize+sqrt(x%5E2%2B4)+%2B+sqrt(y%5E2%2B0.75%5E2)+subject+to+x+%2B+y+%3D+0.75,+x+%3E%3D+0,+y%3E%3D0

Minimum length of path to B is 2*sqrt(2)
>>10356883

[Tuba Jam No.10357274]

>>10356598
how can it be a cube if some sides are longer than others?
Does the bug travel anywhere along the surface of the "cube" or only along its edges? If it's the former, I might have an inkling as to what's going on.

[Anonymous No.10357276]

>>10356598
This is not a cube you idiot, and I opened it, supposedly that you leave topology out of this and you stay on the path, both C and B have same distance on their shortest paths, there's no longer paths

[Anonymous No.10357278]

>>10357276
>imagine trying to close this box
back to the drawing board or see >>10357257

[Anonymous No.10357282]

>>10357278
I left the bottom one because it's irrelevant to the problem, but there's no other right answer

[Anonymous No.10357310]

>>10357282
plug in these coords >>10356765, this was the right answer, some other guy is just spamming wrong

[Anonymous No.10357339]

>>10356598
Well you phrased the question "in the cube" and assuming the cube is solid you choose the exact center, the bug will never be able to reach the center.

[Anonymous No.10357373]

[math]\lim_{bug \rightarrow B}[/math]

[Anonymous No.10357408]

>>10356598
That's not a cube

[Anonymous No.10357427]

>>10357257
how can that be correct

[Anonymous No.10357430]

>>10357257
How can that be correct?

[Anonymous No.10357464]

>>10357430
as you pointed out, the way to solve this is draw a grid tiled by the net of the shape. When you do this, the answer is clearly B by symmetry, and it is sqrt(13) away.

[Anonymous No.10357465]

>>10356795
you're assuming that your point of interest is along the diagonal. In order to provide a solid proof of this, you need to set up a minimax problem.

[Anonymous No.10357525]

>>10357257
>>10357276
>>10357278
>>10357339
Wrong

>>10357373
It ain’t B

>>10357465
I subconsciously used symmetry. Sorry you are an intuitionlet.

[Anonymous No.10357551]

>>10357525
okay, I don't understand your intuition. What were you setting equal?

[Anonymous No.10357557]

it's a 4 dimensional point located infinitely far in the future

[Anonymous No.10357560]

>>10357551
The two distances to the solution point (if one is smaller then it is suboptimal).

[Anonymous No.10357567]

>>10357557
Wrong

[Anonymous No.10357579]

>>10357567
Wrong

[Anonymous No.10357585]

>>10357560
And how did you construct each of these two distances?

[Anonymous No.10357659]

>>10357525
I didn't say it was B, I said it was very close to B

[Anonymous No.10357685]

>>10356701
Depending on the speed it burrows and the speed it moves, it might not be right in the center.

[Anonymous No.10357690]

>>10356598
approaching b

[Anonymous No.10357692]

>>10357685
the center near the top so it has to walk farther, but not close enough to the top that it could burrow a shorter distance by starting from the top

[Anonymous No.10357698]

>>10356598
>which point on a cube
You pick a point on a different cube that you can put arbitrarily far away.

[Anonymous No.10357733]

>>10357525
Do you know how to formally prove that this intuition is correct? As in, how do you know there is a single point of maximum distance away from A? How do you know that the path lengths should be equal at this point?
>>10356883
The reason many people believe B to be correct is the path to the real solution is only 0.03 units longer

[Anonymous No.10357745]

>>10357733
I'm not that guy, but it's not particularly difficult to prove. Messy, because of the nonflat space, which requires you to analyze a bunch of cases all over the place; but after doing that, you get the obvious results with the obvious topological proofs.

[Anonymous No.10357746]

>>10357525
for a counterexample of this "intuitive" symmetry: for a bug positioned on the vertex of an equilateral triangle, there are 2 furthest points from the bug

[Anonymous No.10357747]

>>10357659
>>10357690
It ain’t B

>>10357685
>>10357692
>>10357698
Wrong

>>10357585
>>10357733
Intuition

[Anonymous No.10357748]

>>10356870

This is the right answer. Here is some python code:


import numpy as np
import matplotlib.pyplot as plt

#calc distance but mask for the shape of the cube
def calcDistance(x1, y1, x2, y2):
return np.where(np.logical_or(np.logical_or(np.logical_and(x1 < 2, y1<2),np.logical_and(x1 >3,y1 < 2)),np.logical_or(np.logical_and(x1 >3,y1 > 3),np.logical_and(x1 <2,y1 > 3))),0,np.sqrt((x1-x2)**2+(y1-y2)**2))

x = np.linspace(0,6,601)
y = np.linspace(0,5,501)

x2, y2 = np.meshgrid(x,y)

#take into account that the cube repeats by calculating the distance to B
#from all points of the base
z1 = calcDistance(x2,y2,2,2)
z2 = calcDistance(x2,y2,2,3)
z3 = calcDistance(x2,y2,3,2)
z4 = calcDistance(x2,y2,3,3)
#now the the minimum of all these distances, the shortest path is the one we take
z12 = np.minimum(z1,z2)
z34 = np.minimum(z3,z4)
z1234 = np.minimum(z12,z34)

plt.figure()
plt.pcolormesh(x2,y2,z1234)
plt.gca().set_aspect("equal")
plt.show()

print(np.unravel_index(z1234.argmax(), z1234.shape))

=> prints (600,250), i.e. the point >>10356870 marked.

[Anonymous No.10357751]

>>10357745
is there an elementary geometric proof? I've got to confess I've never taken a topology class

[Anonymous No.10357753]

>>10357585
Nevermind, I understand what you did. The main thing that's bugging me is why you would set these two paths (among all others) to be equal?

[Anonymous No.10357755]

>>10356870
>>10357748
So...this is the power of Rajesh...whoah

[Anonymous No.10357756]

>>10357748
your python code is wrong, that point is sqrt(1.5^2+2^2) away and closer than B

[Anonymous No.10357758]

>>10357748
You are neglecting paths that cross more than one of the 2x1 faces.

[Anonymous No.10357759]

>>10357753
When you increase the length of one path, the other decreases. The bug picks the shortest route, so when they are equal is when the bug has to travel the farthest.

[Anonymous No.10357763]

>>10357748
Wrong and also extremely pathetic how you are resorting to scientism because you can’t do the math and don’t trust others’ proofs

[Anonymous No.10357764]

>>10357759
By this logic the farthest point away from the vertex of an equilateral triangle is the opposite midpoint
you guessed and got lucky

[Anonymous No.10357771]

how to gets (you)s on /sci/:
>think of question that at least looks a little complex even if it isn't actually
>pretend it's deeper than it looks
>put their intelligence on the line

[Anonymous No.10357772]

>>10357751
Only if you take certain topological properties for granted, I think. There are properties of Euclidean space that power much of elementary geometry, that do not obviously apply to this noneuclidean space consisting of the surface of the cuboid; to make use of elementary geometry, you will either have to informally argue in what cases those properties do and do not apply to the cuboid surface, or bring in the big topological guns to prove it properly.

[Anonymous No.10357773]

>>10357763
What I’m saying has nothing to do with an equilateral triangle. Both points have to align along the circumference of a circle and this was the only way to achieve that. That’s part of the intuition.

[Anonymous No.10357774]

>>10357773
Meant for >>10357764

[Anonymous No.10357778]

>>10356598
1) If those numbers are the side lengths, then that is not a cube, it's a rectangular prism.
2) The answer is definitely point B.

[Anonymous No.10357779]

>>10357771
It ain’t B

[Anonymous No.10357786]

>>10357778
It ain’t B

[Anonymous No.10357789]

>>10356621
IT AIN’T B!

[Anonymous No.10357800]

>>10356598
Man... im the one who re write this problem in that strange spider thread. This question is not made by me, and its a old question. Dont know where is the sauce actually.
Also, thanks for my first repost. And sorry for vague statements. (It is clearly b when the cube is empty and bug was inside of it) im not a native english speaker ;-;

If you are interested, try to choose two point that is most far apart

[Anonymous No.10357807]

>>10357800
Thanks. It was a super difficult and fun problem. Did you learn it from a Professor?

[Anonymous No.10357812]

>>10357759
Okay. This question has made me legitimately angry, but I finally understand what you guys did now.

[Anonymous No.10357817]

>>10357772
Addendum: In general, it is fiendishly difficult to _formally_ argue that certain proof cases are symmetric, and proofs for one case should therefore apply to the other case as well. When people formalize proofs for computer verification, using tools like coq or isabelle, they usually don't bother with proof symmetries, because arguing "proof for case B follows by symmetry from case A" is much more painful than just proving B separately.

For this problem here, it will be easier to formulate a proof that does not rely on symmetry at all, than to formally argue the applicability of the symmetry.

[Anonymous No.10357822]

Its the middle point of the button
If if its a solid object the bug would have problems reaching underneath because its so weak
What do you think OP?

[Anonymous No.10357824]

>>10357807
Found that problem preparing for the highschool admission test maybe 6 years ago(It was a good highschool)

[Anonymous No.10357868]

>>10356883
No. The problem for me was confusing as I assumed the geodesic of three-space, not along the surface. Now it is easy.

[Anonymous No.10357874]

>>10357868
>now it is easy

[Anonymous No.10357956]

>>10357773
So here's the thing: why can you assume that for the point (x,y), x=y? I'm not quite comfortable with the way you justified this, really: the only thing the geometric symmetry makes me sure of is any point (x,y) must have a sister solution (y,x). For me it only really becomes clear when you look at all four shortest paths to the point (x,y) and set them equal. But it was not immediately geometrically obvious to me that you could do this. If you draw out all four equivalent locations of A around the top of the box I suppose it is also clear.
>>10357817
yeah it upsets me how loosely the term symmetry is used

[Anonymous No.10357981]

>>10357956
Any shift away from x makes the routes on one side longer and the routes on the other side shorter therefor suboptimal.

[Anonymous No.10357997]

>>10357981
not quite, really you use the implicit understanding that increasing any length away from this point will cause the others to decrease, and I guess the understanding that the boundary points are all closer? But here's the thing: it's not obvious that the four locations of A relative to B will be equidistant from a single point. At least it wasn't to me. Can you really see in your head the shape that these four points form?

[Anonymous No.10358008]

>>10357465
>>10357874
There is nothing to it. By symmetry you consider half the cuboid split along the vertical plane containing A and B. Then you have that there are exactly two possibilities for the geodesic, as in the picture. You now have the point lies along the upper half of the upper diagonal: first it lies along the edge of the figure since you can extend lines to the edge, and second it lies on the left triangle of the first diagram with more technical (but simple) arguments. Now take distance formula on both figures, take minimum per point, and obtain the result.

[Anonymous No.10358013]

>>10357997
If you would actually draw a picture, or look at my picture, or attempt the problem yourself, you would see it is obvious.

[Anonymous No.10358015]

>>10358008
Attached figure:

[Anonymous No.10358019]

>>10358013
I did, and it is. Which picture? It's your reasoning that I can't quite accept, i.e. using one variable from the start.
>>10358015
Do you have this in a format people can read?

[Anonymous No.10358027]

>>10358019
I find it quite readable myself. You need your eyes checked old man.

[Anonymous No.10358032]

>>10358027
>I find it quite readable myself
Great! then can you type out the formulas so this old man can read them?

[Anonymous No.10358053]

>>10358032
The formulae are just distance formula twice to upper part of triangle. You can easily figure that yourself, yes? And the figures are seeable.

[Anonymous No.10358060]

>>10358008
This isn't as obvious as you think. If you stretch out the top square along one axis, you can still divide the cuboid in two along this plane, but the symmetry is broken

[Anonymous No.10358085]

>>10358060
What do you mean? We aren't stretching anything here.

[Anonymous No.10358095]

>>10356598
Inside the cube.
It'll never reach it.

[Anonymous No.10358101]

>be baiting retard
>make question with obvious answer
>keep lying about the right answer being wrong
>/sci/ argues about it for 200+ posts
Who could have possibly seen this coming?
Everyone here should kill themselves.

[Anonymous No.10358104]

>>10358085
Actually I withdraw that, I see a flaw in my argument now. sorry. I would like to know what those "technical arguments" are though

[Anonymous No.10358110]

>>10358104
Erm, it cannot be on the main square other than at B possibly by standard distance measurement, and it cannot be at lower half of triangle since on right picture clearly upper half is longer and on left picture, upper half is same as lower half but reflected across y-axis; as A is on the right, we obtain upper half must have longer geodesic. Easy argument.

[Anonymous No.10358114]

>>10358019
Hi, >>10356765 >>10356814 here. I can weigh in with something more like an actual proof.

Some straightforward case analysis shows that the remotest point is on the top face, in the interior (that is, not on one of the edges, or equal to one of the vertices), and that the shortest route to that point takes one of the four routes pictured. I could prove this part if you want, but it works out the way you expect and it's not the interesting part of the proof, so I'm going to take it for granted here. For each of the four routes, and for each distance D, you can draw an arc on the top face with radius D of points you can reach within distance D along that route, like I did in the pic in >>10356781.

Of the distances between the remotest point and the point A via the four routes, at least three of those distances must be equal. If instead one of those distances is larger of the other three, or two of them are equal to each other and larger than the other two, it is possible to construct a point that is remoter still via those two routes, by moving an epsilon away from the remotest point in the direction away from both equidistance circles; see pic. This would yield a point remoter than the remotest point, which is a contradiction.

Because the distance between the remotest point and A is equal over at least three routes, either the distance via route 1 equals the distance via route 2, or the distance via route 3 equals the distance via route 4. The set of points on the top face that are equidistant via routes 1 and 2 is the diagonal line that includes B; and likewise for the set of points on the top face equidistant via routes 3 and 4. Thus, in either case, we can conclude that the remotest point lies on the diagonal of the top face that includes B. Because of the symmetry of routes 1 and 2, and the symmetry of routes 3 and 4, we can conclude that the remotest point is equidistant over all four routes.

Some algebra yields >>10356765 and >>10356887.

[Anonymous No.10358117]

>>10357789
I AINT NO SCIENTIST'S SON

[Anonymous No.10358120]

>>10358114
Some day, someone will make an imageboard without ridiculous post length limits. How can we /sci/duck without the ability to write out reasonably complete arguments? I hope you can follow my point in the needlessly abridged form.

[Anonymous No.10358121]

>>10358110
okay I understand, thanks for taking the time

[Anonymous No.10358122]

>>10358015
wtf shine a light on it or something

[Anonymous No.10358132]

>>10358114
you retard, case 3 and 4 are redundant long cuts and in 1 and 2 the line on the top face clearly becomes longer by moving the point to B

[Anonymous No.10358145]

>>10358114
elegant

[Anonymous No.10358155]

>>10358114
I don't follow your equal distance argument. What do the pictures represent? I have an argument that assumes you are along the upper face's diagonal that works.

[Anonymous No.10358158]

>>10358120
What about linking to your post and starting by continuation ... when you ended by ... to be continuted

[Anonymous No.10358170]

>>10358114
Wrong.

[Anonymous No.10358192]

>>10358155
Okay, so I can intuition the argument, but it is tricky to rigorize; I believe it is assuming the space is two-dimensional, and the contours are strictly pseudoconvex.

[Anonymous No.10358194]

itt

[Anonymous No.10358200]

>>10356598
G-guys, it doesn't say the bug will directly go back to A, it could spawn right next to it and take the most roundabout way there across the points.

[Anonymous No.10358201]

>>10358155
by "largest" I believe he meant "closest"
the idea is if only one or two routes define the most distant point you can always find a further one by moving away from one or both paths. (this makes the most sense if you flatten the figure out into its nets and consider it in a plane -- but remember to rotate them four times to represent how it is really connected). you must also understand the point is not along the boundary of the top square to reason this way.
once you know three of these distances are equal, everything else falls out quickly with algebra

[Anonymous No.10358204]

>>10358132
Obviously wrong, as the case-1 route to B is longer than the case-3 route to B, and the same applies to B minus epsilon. You'll find that the case-1 route to (0.8, 0.8) is longer than the case-3 route.

>>10358145
Thank you.

>>10358158
Well yes, but fuck that shit.

>>10358155
See the picture in >>10356781 (embiggened here). These circles represent the parts of the top face whose distance to A is sqrt(8), using the routes in >>10358114; clockwise starting from 4 oclock, that's routes 3, 1, 2, 4.

Could point T be the one furthest away from point A? No, because if you move southeast just a bit, you'll find a region that is further away from point A (it's outside all four circles).

Point S couldn't be it either, because you can reach an area outside all four circles by moving north.

Only when you have a point that's on at least three circles (you might need four, even) could you have a situation where you cannot escape all three circles it's on by moving in any direction, like the point R pictured here. With two or fewer circles, this can never happen.

Thus, the remotest point must have the same distance from point A via at least three different routes. (Turns out it's in fact the same distance from all four routes, but that's for later.)

[Anonymous No.10358213]

>>10358201
>by "largest" I believe he meant "closest"
Fuck, you're quite right. If one of the distances is SMALLER / CLOSER than the other three...

Derp.

[Anonymous No.10358223]

>>10358213
chewed on this one yet?
>>10357800
>try to choose two point that is most far apart

[Anonymous No.10358224]

>>10358204
Yes, I understand what you are saying, it is just I lack a formal result for the statement, in the sense of that you can find such a point for four distances in R3, I believe, and respectively for higher dimensions.

[Anonymous No.10358231]

>>10358101
Except its really not B

[Anonymous No.10358234]

>>10358231
Yes, but it still takes 10 seconds to solve, minus the algebra.

[Anonymous No.10358240]

>>10358224
Yes, you're right, it's not quite formal. You would have to resort to a topological argument to properly prove that such a point would always exist.

>>10358223
No.

[Anonymous No.10358244]

>>10356598
>time
op you never gave us how much time it takes to get between cetain points

[Anonymous No.10358246]

>>10358240
>>10357800
I'm pretty sure it's the centers of the small faces

[Anonymous No.10358254]

>>10356598
assuming i can only hit each side of the cube once at most)
DIMENSIONS OF THE CUBE (i refuse to scroll):
A1, A2: B1, B2 (shown)
Top of cube: B
Bottom of cube: A
A and B alternates AB and BA based on what's closer.
Therefore bug can crawl:
>A (bottom of cube start from its corner)
to
>B1
to
>BA
to
>AB
to
>A1
to
>B
This is the longest possible 1 touch per side path that I can think of at a glance and I have not read this thread.

[Anonymous No.10358258]

>>10357800
Nice.

[Anonymous No.10358262]

>>10357800
If the answer is B the question shouldn't say inside of it that it is not B.
Given that requirement it's got to be this:
>>10358254

[Anonymous No.10358269]

>>10358101
>>10358254
>>10358262
dog...it ain’t B

[Anonymous No.10358288]

>>10358269
Ah, then just reverse what I did from B to A, and kek.

[Anonymous No.10358300]

>>10358288
It ain’t B

[Anonymous No.10358309]

>>10358200
Wrong

[Anonymous No.10358321]

>>10356598
The bug will fall if it starts from the top of the box since it's not stated as able to climb walls, therefore the longest path is the corner directly below B.
The bug can only cross the floor, it cannot climb the walls, since it's not stated or implied to be able to, and in fact we are told it is not B.

[Anonymous No.10358329]

>>10358321
Wrong

[Anonymous No.10358335]

>>10358246
Sorry but no. You truley are a brainlet

[Anonymous No.10358359]

>>10358335
I wasn't answering the question in OP, but the follow-up
>two point that is most far apart
And I'm fairly confident I have proved my answer, yielding a maximum distance of 3

[Anonymous No.10358373]

>>10356598
Brainlet here. Can someone tell me what the fuck OP is asking in his question? It seems like it was written by an ESL student and I'm having trouble deciphering the problem from his broken english. Is he asking what point on the surface of a cube would take the longest possible time for an ant, starting at A, to walk to?

[Anonymous No.10358375]

>>10358373
Yes that is correct.

[Anonymous No.10358382]

>literally any answer
>brainlets: "wrong."

[Anonymous No.10358421]

>>10358300
Okay, you do everything in this post:
>>10358254
Except you start on A, go to A1, and then go around each side back to A, instead of trying to end at B like I mistakenly did initially.

SO:
>A (bottom of cube)) to A1 (vertical plane)
>A1 to B1 (vertical plane)
>B1 to BA (vertical plane)
>BA to B (top of cube)
>B to AB (vertical plane)
>AB to A
This should be correct.

[Anonymous No.10358424]

>>10358421
Also if you want we can make it start at
-A
or
A - 0.xxx
or -A - 0.xxx

[Anonymous No.10358430]

>>10358421
Also if this is wrong it probably means we are all failing a simple riddle rather than an actual spatial problem. If you can start the bug on the outside surface of the cube, than any point outside it suffices to make the path infinite, as well, but the question seems to forbid it.

[Anonymous No.10358433]

A

[Anonymous No.10358434]

>>10356598
>...
>Anonymous
>IQ test
Kej

[Anonymous No.10358494]

>>10358254
>>10358421
>>10358424
hey autismo the problem clearly states that the bug takes the shortest possible path. Anyway the solution has been repeatedly posted and confirmed by OP. I don't know what weird ass discrete step problem you're trying to describe, but it's a different one.

[Anonymous No.10358535]

I thought this was a joke at first but upon experimenting with a book and a string I realized that B really isn't the farthest point, just to the left of B isn't reachable by the same length
I don't know enough math to find where the left and right limit converges though, it's somewhere slightly to the left of B either on the top or back plane, maybe right on the edge

[Anonymous No.10358551]

>>10358535
>>10356870
I'm OP for this guess. Is it around there?

[Anonymous No.10358554]

>>10358551
the answer has been posted
>>10356915

[Anonymous No.10358557]

>>10358554
It is wrong.

[Anonymous No.10358558]

>>10358554
Its just numbers bro.
>>10358535
Has experimental evidence for his theory, unlike the other answer.

[Anonymous No.10358565]

>>10358558
>Its just numbers bro.
You have to read all of their posts to understand. The answer is here >>10356765
>>10358557
Fuck off.

[Anonymous No.10358572]

brainlet here
Is the answer not B because from A to B around the prism, going direct diagonally across from B to the point above A so I guess A+2 and then down to A not the shortest way to get from A to B

If I'm explaining that in a way that makes sense?

[Anonymous No.10358582]

>>10356887
>>10358572
read the thread. this post is a good start

[Anonymous No.10358592]

Looks fun.
http://mathworld.wolfram.com/SpiderandFlyProblem.html
Spider and the Fly Problem

[Anonymous No.10358593]

Op asks which point in the cube will take the longest to reach for a bug.
The answer is quite obviously some point in the middle of the cube, since the bug wont be able to get inside the cube. What do I win?
Also op be careful how you formulate questions, else the answers will be useless. It is very obvious that English is not your first language.

[Anonymous No.10358597]

>>10358582
I am too stupid to figure out the math
I was asking if someone could confirm if I was right or wrong

[Anonymous No.10358598]

>>10356598
Centre Top face.

[Anonymous No.10358602]

>>10358597
You are not too stupid, you are too lazy. Hint: imagine the sides of the box flattened down onto a page, the shortest path should be a straight line along this net. But remember! One picture does not tell the whole story, you need to draw multiple pictures to show which sides are connected.

[Anonymous No.10358603]

>>10358593
wrong

[Anonymous No.10358609]

[Anonymous No.10358614]

Trick question, there are 4 optimal points.

[Anonymous No.10358626]

>>10358603
Except it's not and you formulated your questions in a faulty way that allows such misinterpretation. Try harder next time brainlet. You come up with some bs problem but fail to display a proper mathematical solution. Some unreadable piece of paper on which you slapped your cock several times is neither proof or explanation, to the initial question posted, you imbecile.
Sub room temperature iq shits like you trigger me, at least I hope high school is treating you well.
What a gigantic waste of time. Op is clinically retarded and does not understand what mathematical proof means.

[Anonymous No.10358646]

>>10358626
Wrong.

[Anonymous No.10358649]

C.

[Anonymous No.10358664]

>>10356598
I spent a good 2 minutes wondering how stupid the people in this thread are and how bad this bait was until I realized the bug can't fly and this wasn't a question of "which point creates the longest line with A".

[Anonymous No.10358682]

>>10358609
right

[Anonymous No.10358917]

>>10356598
Obviously B. Just fly there.

[Anonymous No.10358921]

>>10356598
>1 by 1 by 2
>""""""""""""""""cube""""""""""""""""

[Anonymous No.10358924]

>>10356598
I would give it a try if it didn't seem so boring.

[Anonymous No.10358979]

You're all fucking brainlets. This is simple fucking geometry you should know from elementary school, what the fuck is wrong with you?
>the bug can only move along edges
Then any point outside an edge is unreachable and therefore invalid, the furthest point following edges is B.
>the bug can move across faces too
Then it's still B, there is no distance longer than the diagonal in a rectangle, therefore B is the furthest point.
>the bug can move inside the shape like it were water
It's still B, the entire rectangle is literally just made from the AB vector (1,1,2). Therefore it is once again B, unless you wish to argue that one component of a vector can be larger than the sum of the components.

Just because it says it isn't B doesn't mean it isn't. How about you solve
>2+2=?
>Hint: Not 4

[Anonymous No.10359024]

>>10358979
Is this bait? If it isnt, read
>>10356781

[Anonymous No.10359029]

>>10358979
But distance between this point >>10356765 and A is further than distance between A and B.

[Anonymous No.10359054]

>>10359029
Nope. Also it is CUBE, it just looks like it have 2 - height edges, it just bad draw skills

[Anonymous No.10359085]

>>10359054
You're wrong, shortest path from A to B is equal sqrt(8) and shortest path from A to other point is equal sqrt(65/8)

[Anonymous No.10359234]

>>10356753
>B takes 2+sqrt(5)
you can do better.

[Anonymous No.10359240]

It is obvious that if there is a point further from A than B, then it must be placed on the diagonal of the top face.

f is a function defining distance between A and S, point S is placed on the diagonal of the top face (pic rel)
f(x) = sqrt((3-x)^2+(1+x)^2) for 3/4≤x≤1
= sqrt(x^2+(2+x)^2) for 0≤x<3/4
Now we can determine through derivatives that function f is increasing on (0, 3/4) and decreasing on (3/4, 1), thus point Smax(3/4, 3/4) is the furthest point from A on the top face, moreover distance between points A and S (sqrt(65/8) is longer than distance between A and B (sqrt(8)). This anon >>10356765 was right.

[Anonymous No.10359248]

>>10358114
>>10359240
I don't get this. For ease I've discarded all non-relevant faces in pic related and just unfolded the remaining two.

If we take it as a single continuous rectangle, then AB is the hypotenuse of a triangle with sides 1 and 2+1, which equals a hypotenuse of sqrt(1^2+3^2) = sqrt10. If we move along the edges instead, we end up moving 2+sqrt2 (along the edge then across the diagonal). So we end up with 3.16 and 3.41 respectively.
If we assume point C is at (0.75, 0.75, 2), then it makes a triangle with a hypotenuse of sqrt(2.75^2 + 0.75^2). If we move along the edges and then across the diagonal, we move sqrt(2^2+0.75^2). 2.85 and 2.136 respectively.

Seems to me like the point with the longest shortest path is still B.

[Anonymous No.10359257]

>>10359248
There's another path from A to B.

[Anonymous No.10359262]

>>10359257
Looks like I'm a fucking retard who got so tunnel visioned he failed to see the stupidly obvious solution. Thanks, I definitely see how there's a shorter path to B than to C now.

[Anonymous No.10359263]

[Anonymous No.10359269]

>>10359257
>>10359262
Fuck I just realized why too: the damn shape is drawn like ass, it looks like one side on the horizontal plane is much longer than the other but they're the fucking same.

[Anonymous No.10359278]

>>10359269
OP for the question here. Sorry for retarded drawing ;-; also it is not a cube ;-;

Im this guy btw
>>10357800

[Anonymous No.10359309]

>>10359278
>path on the left net
AC = sqrt((3/4)^2+(11/4)^2) = sqrt(9/16 + 121/16) = sqrt(130/16)
>path on the right net
AC = sqrt((7/4)^2+(9/4)^2) = sqrt(49/16 + 81/16) = sqrt(130/16)

>>10359257
AB = sqrt(2^2+2^2) = sqrt(8)

130/16 = 8.125 > 8

AC > AB, it's not B, retard

[Anonymous No.10359393]

>>10359309
>3 dimensional object
>Euclidean distance formula with 2 terms
What was dropping out like?

[Anonymous No.10359450]

>>10358359
>>10358382
>>10358421
>>10358424
>>10358433
>>10358557
>>10358572
>>10358593
>>10358597
>>10358598
>>10358609
>>10358626
>>10358682
>>10359393
Wrong

>>10358917
>>10358979
>>10359054
>>10359248
It ain’t B

[Anonymous No.10359464]

>>10359450
>It ain’t B
Why not? √6 clearly is the longest distance for flying. The question didn't say the bug can't fly.

[Anonymous No.10359507]

>>10356598
Its not a point. It’s a set of points.

[Anonymous No.10359512]

>>10359507
Wrong

>>10359464
It ain’t B

[Anonymous No.10359521]

>"Which point in a cube you should choose in order to make a bug takes longest time to reach there?"

Jesus fucking Christ. Anyone with a 145 IQ would have ignored this entire "problem" by now.

[Anonymous No.10359534]

>>10359521
>he is so averse to thinking that he uses a typo as an excuse not to use his brain

[Anonymous No.10359780]

>>10359512
The distance is √6 and you know I'm right.

[Anonymous No.10360162]

since op was too lazy to type up the assumtions:
* starting point is A (0, 0, 0)
* the object is a cuboid with the measurements 1 1 2 (width depth height)
* the point that is to be found is the one which has the maximum distance (measured on the surface of the object) to starting point A, this point is called B
* the connection between these point has to be direct
* this thread is bait

the cuboid has a property that is important for that case, the set of its surface points is a convex set.
the maximum distance (direct, not on surface) from A, is the point B, as the Point is the local maximum of the function sqrt(x2+y2+z2) inside of the bounds given.
since the point B is already the maximum for direct connection, given the geometry of the shape, there is exactly one maximum point for the distance function from A to any point on the surface of the shape, which is B. There are four maximal ways, which are identical when rotated, this results from the geometry of the object.
It is B and it is also mathematically possible to prove that it has to be B, picking up the clues i posted. Just for fun i have chosen to print the distances, however in my image only for the edge points. also i took 10 10 20 as the measurements instead of 1 1 2. The maximum distance is also shown, which, in my case is 28.3 .

>hint: Not B
wrong

[Anonymous No.10360196]

>>10360162
Wrong and also extremely pathetic how you are resorting to scientism because you can’t do the math and don’t trust others’ proofs. Sad low IQ man.

It ain’t B

[Anonymous No.10360264]

>>10360162
OP BTFO
>>10360196
D a m a g e c o n t r o l

[Anonymous No.10360298]

>>10360196
>Scientism
lol OP is such a faggot cocksucker haha

[Anonymous No.10360318]

>>10356598
since this is a fly there are other factors besides distance including gravity, time to turn, and not being able to fly close to the wall

[Anonymous No.10360339]

>>10360264
>>10360298
It ain’t B

>>10360318
Wrong

[Anonymous No.10360341]

>>10360298
Ask me how I know you’re a 99 IQ comp sci fag

[Anonymous No.10360372]

>>10359309
this guy is right, and here's the proof

>in pic related i've drawn the small face in the middle and the large faces projected on its sides
>each one of these four projected faces has a corresponding projection of A
>let C be a point on the small face
>each one of these four projections of A has its own "shortest path" to point C
>the length of a "shortest path" is defined by a function of the coordinates of C
>for each projection of A there is exactly one "shortest path"
>this means there are exactly four different functions that define the same number of "shortest paths"
>we want to find the coordinates of C that maximize the shortest "shortest path"
>this means finding the intersection of the four functions
>which means finding the position of C that makes all four functions equals
>which means that C must me equidistant from all four projections of A
>in pic related i've drawn some green lines to find the equidistant point from all As
>equidistance is shown by the red circle
>its position turns out exactly 3/4 (or 1/4) from each side of the square face

[Anonymous No.10360546]

>>10356598
Maybe someone said it, but that's not a cube. It doesn't have equal sides.

[Anonymous No.10360652]

>>10356598
I’m pretty sure that IQ is no good indicator of actual intelligence.
I have taken an IQ test 2 times. Once in AP psychology, and once again when I was 22.
I scored over 160 on both of them, and believe me when I say this: I am not a clever man.

[Anonymous No.10360854]

I aced my IQ test. Got a perfect 100

[Anonymous No.10360952]

>>10356598
the image is irrelevant or is the cube 2x2x2?

[Anonymous No.10360980]

>>10356598
Point is /b/ cos no faggot can reach the top of it.

[Anonymous No.10361012]

>>10360652
lol

[Anonymous No.10361059]

>>10360372
Thanks, best explanation/image so far.

[Anonymous No.10361531]

>>10356598
Your English skills are atrocious, I could barely comprehend what problem you were proposing. Does bug mean insect? Or a glitch? How can an insect be "in" point A?

[Anonymous No.10361583]

>>10359780
It ain’t B

[Anonymous No.10361813]

>>10361531
True. Only a native English speaker could comprehend poorly written English. I'm going to guess you're latino or south east asian? I'm by no means defending his writing ability, but if you can't understand the gist of the problem then I don't believe you to be an English native.

[Anonymous No.10361833]

>>10361813
SEA here. I can understand it perfectly. But remember where you are. People here can and will deliberately misinterpret the question for the sole purpose of shitposting. OP is not doing himself any favours.

And if the English is bad enough even native speakers will struggle to comprehend it.
>Has anyone really been far even as decided to use even go want to do look more like?

[Anonymous No.10362035]

Distance is sqrt(8.125) and coordinates from A are (0.75, 0.75, 2)

[Anonymous No.10362114]

>>10356598
Inside the cube, in the internal angle of A. And then you put a little hole in B so he must go till B to reach the external surface of the cube and then go through it to A

[Anonymous No.10362146]

>>10356598
I KNOW THE ANSWER
it isn't a cube

[Anonymous No.10362340]

>>10357748
>prints (600,250)
fuck off

[Anonymous No.10362377]

>>10358558
Youre a retardo

[Anonymous No.10362404]

That's not a cube dipshit

[Anonymous No.10362608]

>>10362114
>>10362146
Wrong

[Anonymous No.10362644]

This is a shit question op, you didn't specify whether the bug is inside or on the surface of the cube, also this is not a cube.

[Anonymous No.10362853]

>>10358117
I AINT THE FORTUNATE ONE

[Anonymous No.10363176]

I think I found the point(s) but I'm not sure because this was a quick sketch inspired by >>10360372

There is much uncertainty for me to be sure. The drawing is 4 to 1. The distance from A to the points is 12.3 while the distance from a to b is 12.2. So the difference is 1 millimeter which might not be alot but for this type of questions i think it can make a difference.

I did the same as >>10360372 for the drawing and open the compass from A1 to A2 and marked the point which is equally away from A1 and A2. If you extend the line till it intersects the side of square, while having the compass at A1 and opened to A2, you will get the one of the points. If you do the same but for A2 and you will get the other point.


I will try to work on the mathematics now or maybe not because I'm tired and have an headache. I hope this information was useful.

[Anonymous No.10363269]

>>10356787
This. It's not a fucking cube.

[Anonymous No.10363358]

>>10356598
This shape is not a cube. We thus have no information about the dimensions of the cube or where point A lies in it, if at all.

[Anonymous No.10363509]

>>10359257
your path to B
2*sqrt(2) = 2.828
the direct diagonal across the volume
sqrt(6) = 2.449

get fucked, brainlet

[Anonymous No.10363574]

>>10363176
the distance between A1 and A2 is sqrt(8) so the intersection of your circumferences can't be C, which is sqrt(85)/3 away from all As

pic related is what you're supposed to do with a compass to get the correct position of C

>>10363358
>>10363269
>>10362644
>>10362404
>>10362146
just shut the fuck up already

[Anonymous No.10363877]

>>10356598
the question is immeasurably badly written and my day is ruined

[Anonymous No.10364240]

Step aside, failed CS monkeys and math chads, I am the GOLDEN CS monkey and I've come to you to help you visualize the solution to OP's problem.
Without further ado, here are the results.

[Anonymous No.10364242]

>>10364240
As you can see more clearly on the exp distance map, the furthest point attainable on the map is not point B, like chad mathematicians here demonstrated, but something fairly close

[Anonymous No.10364243]

>>10364240
Good job, you successfully reproduced what we all knew multiple days ago.

[Anonymous No.10364252]

>>10364243
I'm only posting this because some anon may still be skeptical of the results.
It's definitely not something very intuitive

[Anonymous No.10364264]

>>10364252
That is fair, but I doubt such anons would be convinced by your visualization either.

[Anonymous No.10364281]

>>10364264
The sad thing is, they wouldn't be satisfied even with the code, since it's a spaghetti mess!
I encourage them to try and code it themselves if they aren't completely convinced.

[Anonymous No.10364323]

>>10364240
>>10364242
Pls explain. What are the colours. What is the red line. Where is A and B? Where is the bug??

[Anonymous No.10364343]

>>10364240
>>10364242

[Anonymous No.10364348]

>>10364343
If I believe in one of them and not the other, then the concept of the picture is flawed. At this point I’d be inclined to believe in both, or reject the basis of this post entirely. I think I’ll just dismiss it as some twitter nigger who’s wandered too far from the hood, senpai.

[Anonymous No.10364358]

>>10364323
On the first pic, point A is the point that is in the bluest region.
Point B is located near the yellow region.
The color represent the minimal distance from point A to that specific location.
The red line is used to help separate the 1x1 square from the 2x1 rectangle for better visualization.

[Anonymous No.10364367]

If one were to attach a string to point A and let the "cube" hang from it, would the line passing through the string and point A hit the point that is the solution to OP's riddle?
It seems too close to be a coincidence.

[Anonymous No.10364400]

>>10356598
>L=1 W=1 H=2
>cube
OP confirmed brainlet.

[Anonymous No.10364425]

>>10364240
fold it back up into a cuboid? that would be pretty

[Anonymous No.10364454]

>>10364348
I'll be completely honest and admit I didn't read the full text and thought it said something like "my child will type X" . Sorry fampai

[Anonymous No.10364459]

>>10364358
THANK YOU ANON, VERY COOL!

post code?

[Anonymous No.10364499]

Wait, so the problem was traveling on the surface of the solid and not some possible cross section?

[Anonymous No.10364696]

I'm guessing in the centre of the cuboid? Can this bug fly?

[Anonymous No.10364826]

>>10364367
How do you calculate this? I don't really know my physics but it seems like the string would fall on the opposite corner to minimize the height of the center of mass...

[Anonymous No.10364879]

>>10364826
I think you’re right and anon is just being dumb

[Anonymous No.10364886]

>>10356598
Wait till I figure out how to build muscle.

[Anonymous No.10364959]

>>10364400
Wrong

[Anonymous No.10365492]

>>10360854

[Anonymous No.10366020]

>>10364499
All the anons working out solutions for that case (including OP with his braindead "not B") are idiots. It's simply not stated in the problem that the surface must be traversed and the inner volume is a no-go. It's a groundless, useless, unintuitive and unnecessary assumption, and everyone who made it would fail even simple school math problems. Altering a problem by introducing unstated constraints is just not done.

[Anonymous No.10366031]

>>10366020
It ain’t B

[Anonymous No.10366146]

Firstly this is a 3D Orthotope, not a cube. Meaning the answer is Void or Null.

Lets avoid that syntax error.

Secondly we have to find the longest time and shortest path. Since we have no time frame or unit speed of the bug the answer is again Void or Null.

This is a broken question fundamentally in much more ways. But fuck it, heres my attempt

[Anonymous No.10366220]

>>10366146
literally 0 IQ

[Anonymous No.10367122]

>>10356598
>draw infinite net of cube tiled, A marked
>Point furthest from all A and on net is the point
First thing I thouht of. Can't do cuz on phone

[Anonymous No.10367143]

>>10356598
C
which is not clearly defined in OPs pic so it can be everywhere. the bug will go crazy and kill itself.

[Anonymous No.10367930]

>>10366220
You have a 0 IQ cus this qyestion is debunk, an answer could literally be banana.

[Anonymous No.10367957]

>People still replying to this retarded shit.
Lmao. /sci/ literally a board of mathematicians with 82 IQs

[Anonymous No.10369684]

The longest distance is sqrt(8.125) which is located on the top place, 0.25 units away from B on x and y axis.

[Anonymous No.10369749]

>>10369684
Correction, its two points at sqrt(9.444), both on the edges next to B at a distance of 0.333

[Anonymous No.10369787]

>>10369749
The first answer at sqrt(8.125) is correct

[Anonymous No.10369883]

>>10369684
>>10369749
>>10369787

>>10360372

[Anonymous No.10370120]

>>10356765
I don't get it.
Distance from A to your point is sqrt(0.75^2+0.75^2+2^2)=2.26
Distance from A to B is sqrt(1^2+1^2+2^2)=2.45
So clearly B is further from A? Can someone explain what I'm missing

[Anonymous No.10370148]

>>10356598
You're all low IQ AF. Considering that it says "not B" and that op keeps saying "it ain't b" he obviously means b as in the Bee. The bug ain't a bee

[Anonymous No.10370169]

>>10366020
Oh well now I understand what the other retards are posting.
But it clearly says in the op that the bug takes the shortest path from A to that point, so clearly I'm right >>10370120
you guys are all retarded as fuck for being illiterate

[Anonymous No.10370398]

>>10370169
Yes yes, you are very clever to successfully misinterpret the intended puzzle so that you can show off, even though everyone else managed to understand what OP meant (even though, granted, the description is shit).

[Anonymous No.10371149]

>>10370398
Dude, this is a place where people will find any excuse to make shitposts. Unless OP makes literally zero room for interpretation in his stated problem, you're going to get more than 2/3 of the replies being shitposts misinterpreting the intended problem intentionally, even if they do understand the intended problem. And in the first place, the original problem involved a spider (which can't fly) and a fly both inside a room, not on a surface.

Of course the intended correct answer is (0.75,0.75,2) and the distance is √8.125, but because OP is a faggot, I'm going to insist on the answer being (1,1,2) and the distance being √6.

[Anonymous No.10371194]

>>10371149
Fair enough. I note that leaving zero room for interpretation rarely helps though -- even when that is in fact the case, people will generally be perfectly happy to invent reasons why it's supposedly ambiguous.

[Anonymous No.10371196]

>>10371194
It helps enough to make the number of shitpost replies go below 50%. By this site's standards that's already good enough.