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Sigil Ciy of Doors (Topology of a Torus) - MATHS
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<blockquote data-quote="kenmarable" data-source="post: 4599027" data-attributes="member: 40359"><p>I haven't looked up the exact mathematical definition of a torus in a long time, but as for the layout of Sigil, what they say is correct in a general sense. If you look at the pictures of it, the center section isn't closed off (that's not a cut away).</p><p></p><p>So you are not walking inside a closed tube. Think of it instead as a car tire without the inner tube and metal wheel section - just the rubber tire. You are on the inside and, just to assign arbitrary directions, north and south are along the big loop. So if you start walking directly north, you will wind up making a big loop and come back to where you started.</p><p></p><p>However, if you head east or west, you will only be able to go a short distance before coming to the edge. (Haven't read 4e Sigil, but back in 2e it's all backs of buildings without windows, so you can't "lean over the edge" if I recall. Even if you did and fell, you would fall into the Astral or something.</p><p></p><p>So, you are correct that you only wind up back where you are if you walk the long way around the inside of the doughnut/tire. Since it is not a closed tube, you can't walk all the way around the short way (unless of course, in 4e they changed that, but from the pictures it sure doesn't look like it). You will come to an end of an alley or back wall without windows inside a building.</p><p></p><p>My interpretation is just that it explains the "walk the long way around the inside of the doughnut/tire" rather than any other special property of a torus. You can walk in other directions and wind up hitting an edge.</p><p></p><p>Does that make any sense or just confuse it more? And someone correct me if they changed the 4e version of Sigil.</p></blockquote><p></p>
[QUOTE="kenmarable, post: 4599027, member: 40359"] I haven't looked up the exact mathematical definition of a torus in a long time, but as for the layout of Sigil, what they say is correct in a general sense. If you look at the pictures of it, the center section isn't closed off (that's not a cut away). So you are not walking inside a closed tube. Think of it instead as a car tire without the inner tube and metal wheel section - just the rubber tire. You are on the inside and, just to assign arbitrary directions, north and south are along the big loop. So if you start walking directly north, you will wind up making a big loop and come back to where you started. However, if you head east or west, you will only be able to go a short distance before coming to the edge. (Haven't read 4e Sigil, but back in 2e it's all backs of buildings without windows, so you can't "lean over the edge" if I recall. Even if you did and fell, you would fall into the Astral or something. So, you are correct that you only wind up back where you are if you walk the long way around the inside of the doughnut/tire. Since it is not a closed tube, you can't walk all the way around the short way (unless of course, in 4e they changed that, but from the pictures it sure doesn't look like it). You will come to an end of an alley or back wall without windows inside a building. My interpretation is just that it explains the "walk the long way around the inside of the doughnut/tire" rather than any other special property of a torus. You can walk in other directions and wind up hitting an edge. Does that make any sense or just confuse it more? And someone correct me if they changed the 4e version of Sigil. [/QUOTE]
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