1- Yes, but the more it unforlds, the thinner and.weaker the part of it that reaches the object will be. At one point it may be thinner than an atom, at which points furtger questions becomes to complicated for me to bother trying to answer. If Plank’s distance is mentioned I will run away.
2- If it goes into the bath water and you consider the water to be a continuous medium, then the surface of water touching it will also be infinite. If you consider a scale too small for the water to be considered a continuous medium, however, I will leap out the window.
wolf_2202@sh.itjust.works 1 week ago
That depends on the decay factor of one centaur to the next. If the centaurs shrink by anything more than a factor of two, then no. The creature will converge onto a single length.
Liz@midwest.social 1 week ago
What? If it’s geometric it needs to be less than 1, that’s all. 9/10 + 81/100 + 729/1000 + … = 10
C•(1-r)^-1^ = C•x
Where r is the ratio between successive terms.
eestileib@sh.itjust.works 1 week ago
Should be anything less than a harmonic decrease (that is, the nth centaur is 1/n the size of the original).
The harmonic series is the slowest-diverging series.
kogasa@programming.dev 1 week ago
The assumption is that the size decreases geometrically, which is reasonable for this kind of self similarity. You can’t just say “less than harmonic” though, I mean 1/(2n) is “slower”.
eestileib@sh.itjust.works 1 week ago
Eh, that’s just 1/2 of the harmonic sum, which diverges.
Hjalamanger@feddit.nu 1 week ago
Judging by the image the centaura shrink with about a factor of two so the entire creature should be either infinitely long or just very very long.