I have invented a new 3d shape!
It's what you get if you take a large room that scrolls in both directions and make it loop in both directions!
It isn't a sphere, as you can draw a triangle with three right angles on a sphere.
So what is it?
in the meantime, I've decided to call it (Drum Roll) "The Chocolate Scroll"
...What?
A torus.
Awww man, I read "A new SNAPE" and wanted to do the Potter fanboy.
Meh.
Correct me if I'm wrong, but didn't Baron do this in his game Charlie Foxtrot?
In the area where there are pod like capsules to farm clones? Unless it was just a very large scrolling background that I didn't fully explore, due to me giving in to the belief it was just a repetitively scrolling background.
Unless this is a joke, how is a scrolling room a three-dimensional object?
Having said that, if a triangle on a sphere is projected on a 2D surface at the sphere's center, it's gonna end up as a regular triangle (more or less).
Well, it takes a little stretch of the imagination, and the perspective isn't quite right, but it is sorta 3d...
but because of the perspective, it means that the surface isn't really curved, making the....oh hell.
It sounded really good in my head, and I'm sure if I had a while, I could explain it properly...maybe.
I know it's been used before, but do you get what I mean?
So, you invented it?
Can you just draw it or build a model out of it?
If it's a 3-D shape, at least you can build a solid model that you can hold in your own hands. :P
Nah, sorry to spoil your excitement, but as Snarky has already said, you've just rediscovered the torus (http://en.wikipedia.org/wiki/Torus) (the shape of a ring doughnut or quoit).
You're right about the triangle thing - if you draw a line along the "equator" and make this line the right length (I think it needs to be one-quarter of the circumference of the torus as measured going through the hole) you can then draw two more lines, one at each end of the line on the equator and at right angles to that line, and they will meet in a right angle. This gives you a "triangle" with three right angles.
This works because the parallel postulate (http://en.wikipedia.org/wiki/Parallel_postulate) doesn't apply - in plain English, this means that the two "vertical" lines would normally be parallel in "ordinary" space but aren't on the surface of a doughnut.
Have fun with your doughnut. :)
PS: KhrisMUC - the room is still flat, but you can move around it in the same way as you would move around on a torus. If the room were wrapped round side to side only, the moving around it would be like going round the surface of a cylinder. A torus is just a cylinder that has been bent round to make its ends touch.
I'm not sure if it's a torus, but I think your right (sigh).
3d might be the wrong word for it as well, for as Gilbet pointed out, as you can't really model it in 3d, it only really exists in the mind.
ah well, it kept me occupied for a few hours ;D.
I've also invented a new shape:
The Cirquangle*
(http://i50.photobucket.com/albums/f349/Captain_Stu/AGS/cirquangle.jpg)
*Patent Pending
Thatooks a little like that jigsaw puzzle my dog chewed up... ;D