Im curious as to how good the math niggas on /sci/ are when they are handed an actual problem, since proofs these days can be regurgitated by anyone. Ill start off with pic related. If we substitute every circle with spheres, what is the total Volume of all the spheres? If you need an explanation behind the pattern of the circles, Its a dead ringer that you are not capable of solving said problem.
>>7711485
the answer is:
Go away. You're a shit poster and this is a shit post.
>not capable of solving
>>7711485
OP's prompt is both atrocious and high-school tier taunting (trolling? seems to have cribbed the phrase "dead ringer" without understanding what it means)... but.
But OP's thing can actually be interpreted or phrased into a legitimate problem, and the image is sufficiently enticing. See the "kissing problem" for another problem involving tangent spheres, not related to this.
In response to OP's shitpost, I propose the following less imprecise rephrase (which is still fundamentally a "2D" problem which I suppose is amenable to first-year calc):
-There exist infinitely many spheres in Euclidian space, whose centers are all coplanar.
-Every such sphere touches a closed line segment.
-The two largest of these spheres each has a radius of 1/2, and these two touch at another point which is not on the line segment.
-The points at which these two largest spheres touch the shared line segment describe the endpoints of the spheres' shared line segment.
-The rest of the spheres generate and otherwise variously touch each other, per the OP's image.
-(seemingly obvious per above proposed context, could use a check: these various "kissing" points are all coplanar with the sphere's circles)
-etc.
I bet there's details about finding iterative radii of tangency and setting up the limit properly that I haven't thought of yet. The picture suggests a "2-1-2-2-4" iteration of similar objects as well.
>>7711485
315 zeta(5) / (2 pi^5) ~ 0.533678
>>7711514
Not bad.jpg
seems reasonable.
>>7711514
OP here.
Good job anon.
>Ibetyoufoundthe iterativeradiioftangencydetails.jpg
Im interested to hear what kind of math you study, I'm guessing you like Bumblebee number theory? Even if you did put the sum into Wolfram, you had to recognize Euers totient function as the sequence in said dirichlet sum which nobody yet recognized.
>>7711519
Notbad.jpg indeed. Thats the answer is why.
>>7711494
Thatsnotevenclose.jpg
>>7711485
it does not matter. math and logic are conventions that you can refute any time you want.
>>7711576
If u up during real intellectual hours
Den y tf u aint tap that like????????
NO SCIENTISTS/PHILOSOPHERS/MATHNIGGAS/ENGINEERS/DOCTORS DURING REAL INTELLECTUAL HOURS ERRYBODY.
>>7711576
lol
>>7711485
> substitute every circle with spheres
At least 4 variables that are not presented.