share with others#plotted #functional_iterations

[JmsNxn]

OMG that's a real artwork!
Maybe you can make an NFT out of it and earn a lot of money!!!

God I tried making animations and just got so god damned frustrated. I wish I knew how to use Sage better; but I couldn't get passed the syntax used to convert Pari-gp code into the Sage shell; and then run Sage's graphing protocol. I tried reading some breakdowns, but to no avail. Nothing helped. Especially because all the tutorials seem to be for the free to use Sage online app that seems to be the status quo now. I would love to make animated plots though. Ember made some animated plots of the beta method as you move \(b\) around.

Not exactly sure what you are doing. But an animation basically just a sequence of plots.
Say you have a plot
a=complex_plot(....(t)......)
and then you want to make an animated picture out of it, then you just do

Code:

ani=[]
for t in sxrange(0,T,delta):
  ani.append(complex_plot(.....(t).....)
animate(ani)

sxrange goes in steps of delta from 0 to just below T.
This can though take a long time.

We also can make in interactive session - say next weekend. I have some experience with Sage.

Lmao at nft!

It's actually not sage that's the problem. It's that I prefer to write my code in pari. And I'm having a lot of trouble at getting sage to read my pari gp code. Sage claims to have an onboard protocol to read pari gp code natively. But everytime I try to get it to work its just so god damned frustrating.

I can understand how Sage works, even though it's not my favourite kind of language (I tend to like C/C++ environments, not python java kind of environments). The trouble is, I don't understand how to make sage use a function defined within my pari-gp code; and run that function within the sage shell. I gave up trying to get it to work. I know it's probably something dumb I'm not typing correct; or forgetting to read some library or something like that. I'd love to get some help with it to be honest. I've always wanted to animate:

\[
\beta_{\lambda,\mu}(s)\\
\]

While we move \(\lambda\) or \(\mu\). These converge pretty damn fast, and the code is pretty damn fast (thank god for Sheldon, he wrote a couple speedups to my old code that made my code look like a mazda racing a ferrari, lol). Also graphing these is actually surprisingly fast. What's slow is graphing the tetration function, which I'd still like to animate, but that'd probably take a week of processing time, lol.

Also, I have hundreds of these graphs if anyones interested. I have about 1gb of tetration graphs

Totally interested! Love ya super cool graphs
your beta method looks very nice. Albeit its non-analytic-ness, it can further shows tons of info such as the almost-discontinuity of original kneser's tet_e and a structure, and beneath that it's super-cool

I'll post more graphs. I'll compile some of the greatest hits, lol.