It makes me happy that you include fractals in your comics π
Trevor
I apologize for being super pedantic, but this is not a fractal. Fractals are self-similar at all points contained in the fractal, while this is only self similar at the top part. Also, if one calculated the dimensionality of this structure in would be exactly 3 rather than a fraction.
HunterJE
Would the face he makes in the last panel would be, though? Actually asking…
Allo
No. A fractal has no termination. So for the face to be a fractal, his entire head would have to be a part of an even bigger head, etc, so the pattern would continue in both directions.
coolkid
so many trophies
HunterJE
As discussed below, only 17 at the outside.
Actual
Did he make is own trophy which is the trophy he won? It would make sense, because he would only win if he made the best trophy, and if he won he deserves the best trophy.
Talbot
He did make the trophy, but the award for making the best trophy is actually the little black plaque on the base. That part is awarded by the judges and affixed to the trophy afterward.
Don't worry too much about the recursion, took and estimated some measurements and did some math, that each iteration is scaled by the same proportion, the trophy has fewer than 20 iterations before you have to stop (assuming the thing is made of atoms, at least)…
[Assume the main pillar of the first iteration is about fifteen centimeters across. Each iteration, measuring from the comic, is approximately 30% the size of the last. At sixteen iterations, your trophy is .15 * .3^17 = 1.9*10^-10 m. The idealized diameter of a single carbon atom is 340 pm, or 3.4*10^-10 m. In other words, our 17th iteration is smaller around than a carbon atom.]
HunterJE
Whoops changed some bits but left some old stuff through bad editing, bracketed section should read:
[Assume the main pillar of the zeroth iteration is about fifteen centimeters across. Each subsequent iteration, measuring from the comic, is approximately 30% the size of the last. At seventeen iterations, your trophy is .15 * .3^17 = 1.9*10^-10 m. The idealized diameter of a single carbon atom is 340 pm, or 3.4*10^-10 m. In other words, our 17th iteration is smaller around than a carbon atom.]
Tromse
I counted far more than 17 iterations: It didn't even stop at 100 π
HunterJE
Then it's made of some kind of exotic non-baryonic matter not known to modern science…
elliot
omg too much science
Laugeo
Somehow, I missed this comic strip and just found it through the random button.