The comments!
The first comment is...
> “calculus states that .999… can written as \sum_{i=1}^\infty 9*.1^i”. Okay, it is completely irrelevant, where you state it… it’s merely a definition. the one which says that .999…=9/9=1, shows just that it’s the same thing…. the way you define it, is naturally not the same thing, then how it is defined… it is defined either as 9/9=1, or as a series… both will give us the same result… defining it another way you can get that .999 is not equal to 1. This is definitely not high calculus… this is merely first semester…
To which the author replies:
> Please don’t be personally abusive by suggesting things like “this is merely first semester [calculus]”.
"Paper thin" is not exressive enough to describe this guy's skin. It's more like "Tattered one-ply".
He also goes on to say:
> Instead of arguing this myself, I’ll just refer you to a mathematician who has put it in more detailed (and more “mathematical”) terms and language than I have. https://www.filesanywhere.com/fs/v.aspx?v=8b6966895b6673aa6b6c
That link is now broken, but it appears that once upon a time, it linked to john gabriel.
This is just glorious.
Can someone please help me understand the mathematics of calculating angular sizes of distant objects? It seems like two methods can be used, but I'm confused about which is preferred depending on the context. Please see illustration here: https://www.filesanywhere.com/FS/M.aspx?v=8c7065875a94a078a398
Sorry, I'm not great with math, but curious about this. Thanks!
For a decent file sharing site, I much prefer: FilesAnywhere
It has nice file management tools and better controls than Dropbox, GoogleDrive, etc. The interface is a bit complex at first with all the features/options, but once you figure out the tools needed to most, the others can be ignored for convenient document sharing.
(Free accounts limited to 1 gig)
(Not connected to site; I've tried most of the other file sharing sites, this one worked best for my use.)
Here is a link to a file with all 548 rooms numbered and a file with a bullseye centered on room 1 as a CR guide. On the CR guide, I took the liberty of dividing the dungeon into areas to help facilitate the design process. As you can see areas A, B, C and D are in the CR 1 range; areas E, F, H, L, M, P and R are in CR 2 range; and areas G, I, J, K, N, O and Q are in CR 3 range.
Areas A, B, H, I, and P are already done. Their encounters just need to be translated into the Pathfinder system. Maybe we can do this first to get a feel for how things are going to work.
I think everybody should be sure to read the section on "How to Expand Undermountain" found in the Campaign Guide.