Hi! I'm a lurker of the tetration forum and likes to read the posts about tetration made in it. Not sure if this is the right place to post something like this or if "Mathematical and General Discussion" could also work as this is about a site I made focused on mathematical topics (including tetration) but I guess I'll post it here since this place also seems like a fitting place to put it since this also doubles as kind of an introduction i guess.
So basically, since 2018 I've been actively working on a rather large project called "Hypercomplex stuff", named after "hypercomplex numbers" (a topic the project aims to cover), that mostly surrounds the plotting of functions and the creation of galleries that compile graphs of said functions. The site is hosted on Verse and Dimensions Wiki which is a weird hybrid wiki that covers topics such as math, physics, and astronomy, as well as science fiction that covers structures and entities "beyond the universe" (which is what the users of the site more commonly focus on). The aforementioned graphs covered by Hypercomplex stuff include complex maps, contour plots, 3D plots, and domain colourings and are generally made using either Desmos or SageMath. Complex maps, contour plots, and 3D plots are made using Desmos while domain colourings are made using SageMath though I do want to continue making domain colourings in Desmos as well at some point in the future since I think pushing the limits of what Desmos can do with these plots is fun. There's a section of the project that compiles contour plots and domain colourings for tetration and related functions such as superlogarithms and which was started in 2019 or so which I want to continue adding things to.
I've linked a few parts of the site that are either a neat jumping off point or closest in topic to the Tetration Forum, though I'd recommend browsing through the site for a while if one is interested in the extent of the project since there are actual hundreds of Desmos graphs and images of plots that I've created and added to the site.
Navigation: Hypercomplex stuff
I'd appreciate it if people would criticize my activity and/or suggest things to add to the site since I want to continuously improve the site and also learn new and interesting things along the way. It's not at all a "complete" site (and realistically can never be) and it's definitely not a perfect site or anything and there's bound to be plenty of errors, overlooked details, and structural problems I haven't caught yet partially due to the size and nature of the project. The site is frequently updated with new things and I'm not really an "expert" on the topics or anything at all, but the site is one I'm passionate about and like to work on as well as add new things I find interesting to.
So basically, since 2018 I've been actively working on a rather large project called "Hypercomplex stuff", named after "hypercomplex numbers" (a topic the project aims to cover), that mostly surrounds the plotting of functions and the creation of galleries that compile graphs of said functions. The site is hosted on Verse and Dimensions Wiki which is a weird hybrid wiki that covers topics such as math, physics, and astronomy, as well as science fiction that covers structures and entities "beyond the universe" (which is what the users of the site more commonly focus on). The aforementioned graphs covered by Hypercomplex stuff include complex maps, contour plots, 3D plots, and domain colourings and are generally made using either Desmos or SageMath. Complex maps, contour plots, and 3D plots are made using Desmos while domain colourings are made using SageMath though I do want to continue making domain colourings in Desmos as well at some point in the future since I think pushing the limits of what Desmos can do with these plots is fun. There's a section of the project that compiles contour plots and domain colourings for tetration and related functions such as superlogarithms and which was started in 2019 or so which I want to continue adding things to.
I've linked a few parts of the site that are either a neat jumping off point or closest in topic to the Tetration Forum, though I'd recommend browsing through the site for a while if one is interested in the extent of the project since there are actual hundreds of Desmos graphs and images of plots that I've created and added to the site.
Navigation: Hypercomplex stuff
- Functions of a Hypercomplex variable:Hypercomplex stuff/Functions of a hypercomplex variable
- Productlogarithms, hyperoperators, and relatives (Tetration): Hypercomplex stuff/Functions of a hypercomplex variable/Productlogarithms, hyperoperators, and relatives#Tetration
- Function list (alphabetical): Hypercomplex Blog: Function List (alphabetical)
- Tetration Portal: Hypercomplex Blog: Tetration Portal
- Generalized Mandelbrot sets and Julia sets: Hypercomplex stuff/Generalized Mandelbrot sets and Julia sets
- Recreational monocosm: Hypercomplex stuff/Recreational monocosm
I'd appreciate it if people would criticize my activity and/or suggest things to add to the site since I want to continuously improve the site and also learn new and interesting things along the way. It's not at all a "complete" site (and realistically can never be) and it's definitely not a perfect site or anything and there's bound to be plenty of errors, overlooked details, and structural problems I haven't caught yet partially due to the size and nature of the project. The site is frequently updated with new things and I'm not really an "expert" on the topics or anything at all, but the site is one I'm passionate about and like to work on as well as add new things I find interesting to.
ℍypercomplexi