Flat to Sphere is, in fact, Flat to Torus

[Rubik87]

I studied a little topology.

If you have a square(or a rectangle) and you join the north edge with the south edge, and then you join the right edge with the left one, topologically speaking you obtain a torus, not a sphere.

(Try to do it with a sheet of paper, or just imagine it).

[Jimmi]

http://www.quadradius.com/quadboard/viewtopic.php?t=319&start=14

[OncoByte]

He's right.

Topologically - what test discriminates a torus from a sphere?

[OncoByte]

http://www.quadradius.com/quadboard/viewtopic.php?t=319&start=14

Nice - I hadn't seen that before.

Maybe Flat-to-Sphere second tier can be a real Flat-to-Sphere:
- If the torus is on the edge of the arena, it can move to any other edge tile, anywhere in the arena, in one step.

I sense a suggestion coming! Actually, no, I don't.

[jimmypop]

http://www.quadradius.com/quadboard/viewtopic.php?t=319&start=14

Nice - I hadn't seen that before.

Maybe Flat-to-Sphere second tier can be a real Flat-to-Sphere:
- If the torus is on the edge of the arena, it can move to any other edge tile, anywhere in the arena, in one step.

I sense a suggestion coming! Actually, no, I don't.

I'm picturing a massive string of if thens... so much so that I doubt it is ever implemented this way.

[Moose]

Fat to Sphere

[Rubik87]

Topologically - what test discriminates a torus from a sphere?

On a sphere you can conduct any circle to a single point with a continuus movement..

..but this is not a maths forum.