What would a Hypercubical Sudoku look like?
Wait no, scratch that too few SAN to begin with.
Would it be solvable?
>>46685312
Yes, why wouldn't it be?
Any puzzle that has clear and consistent rules and sufficient clues can be solved.
But keep in mind that even 2d sudoku isn't just "randomly populate square, randomly remove X cells".
Cube sudoku is going to obviously be harder (..and ironically, trying to apply easily googled "how to make" guidelines from 2d sudoku will require you 4th dimensioning your cube in process)
Then shit gets even harder for hypercube sudoku.
And hyperhypercube? Insane.
But hey, lets try taking it step. by. step.
Gentlemen, how about we make a 3d cube sudoku?
>>46685674
>Gentlemen, how about we make a 3d cube sudoku?
Lets see then.
A cube is 9x9x9 in cells.
But it's not as easy as stacking nine squares.
This gives us only one axis of successful sudoku.
They must also work in other two axes.
That's quite a lot of cross-dependency.
Did you fa/tg/uys ever figure that out? I remember seeing a picture of a tesseract dungeon on here somewhere.
>>46685770
Yes it was mapped out and everything. No records of anybody being crazy enough to really run it though.
>>46685812
Hmmm. Do you have the image? If you post it, I'll try to wrangle my group into it in the near future.
If it works out, I'll let you guys know how it went.
>>46685851
http://archive.4plebs.org/tg/thread/45012251/#45044861
http://archive.4plebs.org/tg/thread/28493690/#28494926
>>46685894
Thanks
>>46685894
Oh and http://archive.4plebs.org/tg/thread/28052537/#28057197
>>46685894
>>46685917
How much fuckeryand DM dick suckingwould it take to create this as a demiplane?
>>46686007
>>46685917
This only works if the tesseracts are distinctive from each other, right? Or is there some mathematical way to map it out if it's not immediately obvious that you're in a cube or not?
>>46685730
Then, how to tesseract?
Fold our cubedoku on itself to create partial overlap sudoku? I.e. essentially the hypercube dungeon with every room being a 3x3x3 cube of numbers that line up with other numbers to create full sudoku lines and squares.
So for example for starting in Central, you go up twice and align Top and Double into a column of sudoku lines. Going down, Central, Bottom and Double also align into a column of sudoku lines. But Bottom and Top obviously have different layout.
But Bottom and Top ALSO must be aligned with each other into sudolines through the West, East, North and South rooms
...okay I'm losing San here.
Lets dehyper.
This doesn't actually dehyper to 9x9x9 cube though, but rather a cube with 3x3 sudoku pieces on the sides, with full niner sudoku going across the canvas.
Ok that's imaginable.
But I'm not entirely sure it's possible to properly make sudoku layout even here.
Gimme a moment with Excel.
>>46686051
M8, we're in the 3rd dimension. Tesseracts are physically impossible for us to comprehend.
>>46686054
Ok here's a a typical fold out of a cube. Lets try to map a random sudoku on it.
Starting with central. Simplistically.
Ok now fill the horizontal bar.
But NOW I have to fill the vertical bar while aligning it with three others simultaneously. For demonstration purposes, I'll duplicate those.
Ok so far so good.
Here comes what I expect to be a doozy: the double square. That is supposed to tie them all together.
I'll mark it as white on black for extreme ominousness.
Ok now see. By going in the top row of green-yellow-gray, it'll have to have 789 in it.
But by going top row of green-orange-gray, it'll have to be 654.
Annnd that's going to be everywhere.
The construct is sadly unbuildable.
And I sadly it is that such it will be for a hypercube. The concept of "going twice in any direction leads to a same room" is incompatible with sudoku rules.
>>46686205
>>46686205
What if we use a larger numerical base? Would base 12 work?
>>46686380
That would lose filling the individual squares.
Sudoku is ALREADY a hypercube
3x3x3x3
its just flattened for easy visualization
pic is partially related
>>46686478
Technically hypercubes are 8 cubes, not 13 squares - a mere "cubic" sudoku would need three layers of 2d sudokus, or 81 squares, but solved for 162 squares because they'd have to be solved for both horizontal, vertical and depth.
>>46686767
In turn then a hypercube sudoku would require 8 cubic sudokus, or 1296 regular sudokus carefully arranged into a tesseract.
>>46686478
What? No.
>>46686949
What? yes.
>>46686767
>>46686880
you are idiots who don't know what a hypercube is
a normal sudoku is already a hypercube of 3^4
>>46685674
>And hyperhypercube? Insane.
A hypercube is any higher dimensional cube. A tesseract is the particular 4D example. In 5D is a penteract.
>>46686990
>>46686478
No it's not?
>>46686076
You're gonna hate me but we absolutely can.
But heres the fun part: we can only understand the hyperdimensional nature of any object beyond the 3rd dimension using the 2 dimensio.
ie: a written mathematical formula.
If we physically looked at a hypercube we wouldn't be able to make heads or tails of it simply because our sensory organs and brain don't work on the principles its attempting to express. The only way for us to do so is with a 3 dimensional proxy (pic related but technically still a 2 dimensional proxy defining a 3 dimensional proxy attempting to show a 4 dimensional object in translatable to 3 dimensional geometry example). Again this ultimately fails as its attempting to describe something using a set of rules that simply is not applicable to the object in question. The better bet would be the written formula as it can use singular symbols to define entire concepts though this does require some serious learning to fully make an attempt at understanding as each symbol is also ultimately a mathematical formula.
Tl;dr just use 3 dimensional "rooms" with "connections" that act in a 4th dimensional way. (Like the movie Cube2)
>>46687586
>Tl;dr just use 3 dimensional "rooms" with "connections" that act in a 4th dimensional way. (Like the movie Cube2)
Yeah, and that's what they tesseract and penteract dungeons do. Although going 5d requires a somewhat cop-out switch.
