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Non-Euclidean Geometry in 4E?
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<blockquote data-quote="KarinsDad" data-source="post: 4043656" data-attributes="member: 2011"><p>The next size is 12 hexes. After that is 19 hexes.</p><p></p><p>There is a slight peculiarity here. 1 hex is a hex. 3 hexes is close to a triangle. 7 hexes is close to a hex. 12 hexes a triangle (5x5x5 triangle but with the 3 vertex hexes cut off). 19 hexes a hex, etc. The reason for this is that like with squares, the space goes from "grid in the middle" to "intersection in the middle" back to "grid in the middle", etc. for each size increase. However, the alternating sizes are like "rounded triangles". Like hexes they are very similarly shaped to a circle and area effects (like for mists) are very easy to draw quickly and properly on the map.</p><p></p><p>The 12 hex dimension might be a bit tough for some people unused to it to see at first. One has to take the 9 adjacent hexes to the 3 hex size. It's pretty easy to see once someone is used to it, but if people had a problem with this, they could always cut out a cardboard base to put a gargantuan sized mini on.</p><p></p><p></p><p></p><p>Good link. That shows people exactly how it works for creatures.</p><p></p><p>WotC defaulted the area effects spells to not include the middle hex. That's a good solution as well, although there is an alternative solution which might not be for everyone.</p></blockquote><p></p>
[QUOTE="KarinsDad, post: 4043656, member: 2011"] The next size is 12 hexes. After that is 19 hexes. There is a slight peculiarity here. 1 hex is a hex. 3 hexes is close to a triangle. 7 hexes is close to a hex. 12 hexes a triangle (5x5x5 triangle but with the 3 vertex hexes cut off). 19 hexes a hex, etc. The reason for this is that like with squares, the space goes from "grid in the middle" to "intersection in the middle" back to "grid in the middle", etc. for each size increase. However, the alternating sizes are like "rounded triangles". Like hexes they are very similarly shaped to a circle and area effects (like for mists) are very easy to draw quickly and properly on the map. The 12 hex dimension might be a bit tough for some people unused to it to see at first. One has to take the 9 adjacent hexes to the 3 hex size. It's pretty easy to see once someone is used to it, but if people had a problem with this, they could always cut out a cardboard base to put a gargantuan sized mini on. Good link. That shows people exactly how it works for creatures. WotC defaulted the area effects spells to not include the middle hex. That's a good solution as well, although there is an alternative solution which might not be for everyone. [/QUOTE]
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