Shattered Kingdoms

Hi.

According to the Pythagorean theorum, the geometrical definition of a matrix, and the fact that SK movement is -on- a matrix, moving northeast, southeast, northwest or southwest should cost 1.414213562 times more PE than moving east, south, west, or north. To balance this out, the general cost of any movement should be reduced .2071067812 times. If you doubt me, google. Otherwise, someone with the patience to google or innate mathematical knowledge, please post about why I am right.

Thanks.

I don't believe that you can assume that sk uses matrix movement. I would like to see a proof of this.

Potential argument for the other side: rooms are not all the same size, the surface of the planes are curved. Since it does not take extra pe to move diagonally, I would assume that the distance between them is equal.

It's a magical world...

Why do people want to sound smart by whipping out a fictional math problem on an imagined world?

Try going onto the wilderness map.

As for room size.. That's the imm's fault. They could try putting in more rooms to move diagonally, but they really haven't, and that still doesn't fix wilderness map.

Indoor curvature is insignificant, outdoor curvature is already covered by the 'hill', 'mountain' and 'valley' scripts.

[Edit]: Oh. And as for the assumption that, as diagonal movement is equal in expendature, the surface is curved..

I'm not even going to calculate how many times that assumes the world of Pyrathia bends unto, through, and around itself. Maybe the guys who coded DEKU just never thought of this.

Not going to flame you.. not going to flame you..

A .414213562% inconsistancy in PE expendature for movement is -not- a fictional problem.

What if the shape of rooms is actually octagonal but the world curves enough that it all fits nicely?

Octagons can't tesselate. That said, I have already stated that that would require Pyrathia bend unto, through, and around itself at least a dozen times for that to work, which would violate physics in an altogether more hideous way.

You are attemting to apply math to a world that is based mainly upon a magical plane.

Magic and science don't mix.

No matter how hard you try, I'm -not- going to flame you.

Though, granted, you did just inadvertantly support my argument. Pyrathia is a plane, instead of a sphere. There cannot be curvature of enough significance to warrant an octagonal design along with that fact, even though there isn't enough to begin with.

And I have nothing against magic. However, every manner in which SK acts is warranted by either magic, or the science of the real world. The void I am describing is explained by neither.

What if it is a plane made of circles and the empty space in between them is not noticeable because whenever you step onto it you are magically transported across instantly?