tag:blogger.com,1999:blog-4754170279177021419.post7318098230166151354..comments2023-03-28T12:34:02.505-07:00Comments on Goblin Punch: Non-Euclidean ArchitectureArnold Khttp://www.blogger.com/profile/12603155377769597516noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-4754170279177021419.post-56020021938752399692020-01-16T11:18:29.690-08:002020-01-16T11:18:29.690-08:00Your Pillar Room example is an Euclidean manifold ...Your Pillar Room example is an Euclidean manifold rather than non-Euclidean geometry. In non-Euclidean geometry all the "local" triangles have weird angles (the larger triangle, the weirder), while this example sounds more like a bunch of fragments of Euclidean space patched together.Zeno Roguehttps://www.blogger.com/profile/01631779018547033181noreply@blogger.comtag:blogger.com,1999:blog-4754170279177021419.post-91270034275560337912019-08-30T01:51:19.522-07:002019-08-30T01:51:19.522-07:00For a hyperbolic space confined to a single room, ...For a hyperbolic space confined to a single room, the room would just seem bigger than the exterior perimeter would indicate. This could be subtle, or it could be a TARDIS like effect if so desired.<br /><br />The pillar room is particularly clever because a sufficiently barren room with a large central pillar to obstruct view of the curvature of space allows for both hyperbolic and elliptical space to escape notice.Amelia M.https://www.blogger.com/profile/05544916278026395605noreply@blogger.comtag:blogger.com,1999:blog-4754170279177021419.post-8317310217202223712019-08-11T22:01:27.328-07:002019-08-11T22:01:27.328-07:00Earth (or space) is locally Euclidean because it&#...Earth (or space) is locally Euclidean because it's huge, and we're small enough that we can only see a fraction of it. But I don't know that a space as small as a dungeon or a spaceship would still remain locally Euclidean to a human eye... Wouldn't the players perceive the non-Euclidean nature of an individual room ? It seems to me that they would. John Atomhttps://www.blogger.com/profile/09523915636427225889noreply@blogger.comtag:blogger.com,1999:blog-4754170279177021419.post-54475298569578350512019-03-02T06:41:47.489-08:002019-03-02T06:41:47.489-08:00Hello, this is all super interesting! I just find ...Hello, this is all super interesting! I just find myself confused by what is a sentient itch?Vhttps://www.blogger.com/profile/13072852307859195921noreply@blogger.comtag:blogger.com,1999:blog-4754170279177021419.post-40933860128050739572013-05-06T22:35:35.068-07:002013-05-06T22:35:35.068-07:00That's pretty cool. I'd never seen anyone...That's pretty cool. I'd never seen anyone use polyhedra to make a globe-map of a non-euclidean dungeon, but I guess that's the proper way to map a 2-d manifold.<br /><br />If you didn't want to fold a ridiculous map, you could use one of your dice and just make rooms that resembled the numbers on it.<br /><br />I actually wrote a part 2 to this. I should post it.Arnold Khttps://www.blogger.com/profile/12603155377769597516noreply@blogger.comtag:blogger.com,1999:blog-4754170279177021419.post-16829102610086096332013-05-06T04:05:28.989-07:002013-05-06T04:05:28.989-07:00I don't know if you'll find this useful bu...I don't know if you'll find this useful but you can sort-of create a non-euclidean dungeon on paper by making a 3-d paper polyhedra and drawing the dungeon on it.<br /><br />I did a kind-0f-primitive one here http://falsemachine.blogspot.co.uk/2011/09/did-i-invent-this.html<br /><br />If you don't describe the cureve around the polyhedra but only talk about the rooms as normal, the players will find themselves curving around in directions they can't sense.<br /><br />Of course if they are at the table with you they will see you playing with your ridiculous mappjamesstuarthttps://www.blogger.com/profile/13288777018721199748noreply@blogger.com