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[Lielac]

1. You have combined my favorite mathematical obsession and Dwarf Fortress. MARRY ME

2.

Is not the 4th dimension time?  I'm not sure how that'd work into your plans...

Spatial dimensions and temporal dimensions are counted separately, so no. No it is not.

[Wimopy]

And what about ballista arrows?
Are they 4D that strangely occupy 3 tiles?
Or are they powerful 3D objects that push things into the 4D world like water?

[Tharwen]

And what about ballista arrows?
Are they 4D that strangely occupy 3 tiles?
Or are they powerful 3D objects that push things into the 4D world like water?

Ballista arrows are, for some reason, 3 dimensional. Who knows why the dwarves build them that way...

[Draco18s]

So, it's like the Calculus problem of the Horn of Gabriel, you could fill it with paint, but you couldn't paint it.  Now that's !!Science!!

It's due to the way infinite series works, and while it has finite volume, you can't completely fill it (the first drop of paint never reaches the bottom).

[BigD145]

And what about ballista arrows?
Are they 4D that strangely occupy 3 tiles?
Or are they powerful 3D objects that push things into the 4D world like water?

Ballista arrows are, for some reason, 3 dimensional. Who knows why the dwarves build them that way...

I think they are 2D as they cannot act upon things up or down from the point of origin in 3D space.

[Tharwen]

And what about ballista arrows?
Are they 4D that strangely occupy 3 tiles?
Or are they powerful 3D objects that push things into the 4D world like water?

Ballista arrows are, for some reason, 3 dimensional. Who knows why the dwarves build them that way...

I think they are 2D as they cannot act upon things up or down from the point of origin in 3D space.

But then they wouldn't be able to interact with 3D objects at all! Also, they eventually fall to the ground, which a 2D object couldn't do.

1. You have combined my favorite mathematical obsession and Dwarf Fortress. MARRY ME

Very well. However, I've decided to forgo any formal celebrations.

[Draco18s]

But then they wouldn't be able to interact with 3D objects at all!

Actually, they can.  A 2D object is like a sheet of paper and can pierce right through a 3D object.  That's how Flatlanders trap an intruding 3D being in their universe.

That said, even if the balista bolt (or anything else, for that matter) completely severs a limb off a 'dwarf' which is actually a 4D being, it's not actually that injured.  It's like drawing a stick figure on your arm, then taking a knife to him: he's severed in half (you just have a small cut). 

[Tharwen]

But then they wouldn't be able to interact with 3D objects at all!

Actually, they can.  A 2D object is like a sheet of paper and can pierce right through a 3D object.  That's how Flatlanders trap an intruding 3D being in their universe.

That said, even if the balista bolt (or anything else, for that matter) completely severs a limb off a 'dwarf' which is actually a 4D being, it's not actually that injured.  It's like drawing a stick figure on your arm, then taking a knife to him: he's severed in half (you just have a small cut).

But it has no mass in a 3D realm, so it can't impart any force within it.

[Draco18s]

But then they wouldn't be able to interact with 3D objects at all!

Actually, they can.  A 2D object is like a sheet of paper and can pierce right through a 3D object.  That's how Flatlanders trap an intruding 3D being in their universe.

That said, even if the balista bolt (or anything else, for that matter) completely severs a limb off a 'dwarf' which is actually a 4D being, it's not actually that injured.  It's like drawing a stick figure on your arm, then taking a knife to him: he's severed in half (you just have a small cut).

But it has no mass in a 3D realm, so it can't impart any force within it.

On the other hand, it's infinitely sharp.

[Tharwen]

But then they wouldn't be able to interact with 3D objects at all!

Actually, they can.  A 2D object is like a sheet of paper and can pierce right through a 3D object.  That's how Flatlanders trap an intruding 3D being in their universe.

That said, even if the balista bolt (or anything else, for that matter) completely severs a limb off a 'dwarf' which is actually a 4D being, it's not actually that injured.  It's like drawing a stick figure on your arm, then taking a knife to him: he's severed in half (you just have a small cut).

But it has no mass in a 3D realm, so it can't impart any force within it.

On the other hand, it's infinitely sharp.

So it would go right through things and never stop...

[micelus]

So, can we infer that wagons are fully three-dimensional?

[Tharwen]

So, can we infer that wagons are fully three-dimensional?

I suppose they must be.

Although... there's always the possibility that they're 4-dimensional creatures that just decided to fuck the rules and project into more than one tile.

[Draco18s]

So it would go right through things and never stop...

Which is pretty much true.  We do see them collide with the terrain and vanish, but they don't leave anything behind.  Do they?

Unless...the ground is 2D also.

[Undercroft]

What would the semi-molten rock be?

[Wimopy]

What would the semi-molten rock be?

I suppose it's 3.5D, meaning it's in a layer between the 3- and the 4-dimensional worlds, which is why dwarves can't touch it. It's normal rock that is slipped between dimensions by the heat of magma.

And about ballista arrows again... I believe it's because of the components and dwarven handicraft. The metal head, the feathers (not included in recipe) are connected by different pieces of wood, which all are connected in 3D but are actually separate 4D objects. The 3D connection holds together the 4D damaging power. At least, that's what I think...