Thyrwyn said:
No Strawmen here - You are accusing one rules set of ignoring Euclid's geometric laws. I am saying that either they both do, or (more accurately) they both approximate Euclid's laws differently.
In 3.5, the game 'approximates' circles as 'crosses'; in 4e it uses squares. Neither uses circles (which are geometric), therefore the "non-euclidian" charge could be levelled against each of them. Therefore, the difference is a matter of degree, not of kind.
Wrong. In 3.X, a circle is treated as a circle of the specified radius. What is "approximated" is where in this circle a character is affected by the effect described by the circle. If the border of the effect includes the far corner of a square, everything within the square is affected, if only the near corner is included, nothing in that square is affected. Which might be a bit wishy-washy, and could as well have been handled by allowing a static bonus to the save (and probably raised the howls of the already bonus-ridden

), but it preserves the close approximation of the geometry on the 5'-square grid. It paints a bit of a wonky picture of how magical effects work sometimes ("Hmmmm, standing at this angle and distance, the
fireball seems to have a cold pocket. Interesting.")
4E simplifies geometry in a way that a "circle" with a radius of 20' will equal a square of 40'x40'. That's not an approximation anymore...or rather, it's about as much an approximation as you can, if you want, approximate a cat in freefall as a rotating cylinder. In its highly abstracted form it both serves to greatly simplify calculations, but it has nothing whatsoever to do with reality as it is. So either reality in a D&D world is wonky, or it shifts to wonky when battle begins, and back to normal when battle ends. Either way, wonky.
Both editions had an error in the distance of a diagonal of a 5' square though, I grant you that. 3.X was 6% too severe, and 4E is 30% too lax. How much error (and wonky consequences) you are willing to tolerate in exchange for easy of play is, of course, up to every individual player.
