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Mapping Infinity
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<blockquote data-quote="Huw" data-source="post: 5221713" data-attributes="member: 33093"><p>Non-Euclidean geometries are perfectly describable and mappable. We live on one for example. Just realise that a flat world map can only approximate a globe but is still good enough, and you can map an infinite world with a few approximations.</p><p></p><p>IMC I have a spirit world. It has a finite circumference, but an infinite area. It actually gets bigger the closer you get to the centre, which is infinitely far away. You can map this by just drawing a circle. You might have a hut on the outside taking up the same area on the map as a city a bit further in.</p><p></p><p>(Yes, I've grossly distorted the behaviour of spacetime around a black hole for campaign purposes. It works!)</p><p></p><p>For added fun, you could make it a fractal. Inside this world there can be other zones of finite circumference but also showing infinite internal area. You could fit an entire city inside a tower. First floor is as big as it looks on the outside, but go up a level and it's four times the area (while still looking normal from the outside).</p></blockquote><p></p>
[QUOTE="Huw, post: 5221713, member: 33093"] Non-Euclidean geometries are perfectly describable and mappable. We live on one for example. Just realise that a flat world map can only approximate a globe but is still good enough, and you can map an infinite world with a few approximations. IMC I have a spirit world. It has a finite circumference, but an infinite area. It actually gets bigger the closer you get to the centre, which is infinitely far away. You can map this by just drawing a circle. You might have a hut on the outside taking up the same area on the map as a city a bit further in. (Yes, I've grossly distorted the behaviour of spacetime around a black hole for campaign purposes. It works!) For added fun, you could make it a fractal. Inside this world there can be other zones of finite circumference but also showing infinite internal area. You could fit an entire city inside a tower. First floor is as big as it looks on the outside, but go up a level and it's four times the area (while still looking normal from the outside). [/QUOTE]
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