Principia Discordia

Principia Discordia => Propaganda Depository => RPG Ghetto => Topic started by: Prelate Diogenes Shandor on November 15, 2014, 06:45:34 AM

Title: Non-Euclidean Battle Grids
Post by: Prelate Diogenes Shandor on November 15, 2014, 06:45:34 AM
Does anybody know of any games that use a battle-grid made up of shapes other then triangles, squares, or hexagons? I know that those are the only regular polygons that will tile the euclidean plane, but surely some videogame designer somewhere must have realized by now that the play area could just as easily be a hyperbolic plane and tileable with just any type of polygon they want.

Does anybody know of any games like this?
Title: Re: Non-Euclidean Battle Grids
Post by: Reginald Ret on November 15, 2014, 12:22:15 PM
That would be very confusing.
Title: Re: Non-Euclidean Battle Grids
Post by: Mesozoic Mister Nigel on November 15, 2014, 07:48:36 PM
(https://s3.amazonaws.com/data.tumblr.com/s61IFaZdzo92sb97YLMpjX1Xo1_1280.jpg)

?

Title: Re: Non-Euclidean Battle Grids
Post by: Telarus on November 15, 2014, 11:59:56 PM
Here's a Rogue-like for yah: http://www.roguetemple.com/z/hyper/
Title: Re: Non-Euclidean Battle Grids
Post by: Prelate Diogenes Shandor on November 16, 2014, 06:18:13 AM
Quote from: Sexy St. Nigel on November 15, 2014, 07:48:36 PM
(https://s3.amazonaws.com/data.tumblr.com/s61IFaZdzo92sb97YLMpjX1Xo1_1280.jpg)

?

I was thinking more like this:

(http://upload.wikimedia.org/wikipedia/commons/4/44/Uniform_tiling_552-t1.png)

or this:

(http://upload.wikimedia.org/wikipedia/commons/a/aa/Uniform_tiling_83-t0.png)

Bear in mind that this type of projection exhibits significant distortion, approaching infinity as ypu approach the edge of the poincare disk. All of the polygons are actually the same size and the lines are all the same length. This wouldn't necessarily present a sign9ficant problem though, as whichever polygon  you're centered on - as well as the ones immediately surrounding it - will be relatively undistorted.
Title: Re: Non-Euclidean Battle Grids
Post by: Mesozoic Mister Nigel on November 16, 2014, 06:17:24 PM
Quote from: Prelate Diogenes Shandor on November 16, 2014, 06:18:13 AM
Quote from: Sexy St. Nigel on November 15, 2014, 07:48:36 PM
(https://s3.amazonaws.com/data.tumblr.com/s61IFaZdzo92sb97YLMpjX1Xo1_1280.jpg)

?

I was thinking more like this:

(http://upload.wikimedia.org/wikipedia/commons/4/44/uniform_tiling_552-t1.png)

or this:

(http://upload.wikimwdia.org/wikipedia/commons/a/aa/uniform_tiling_83-t0.png)

Bear in mind that this type of projection exhibits significant distortion, approaching infinity as ypu approach the edge of the poincare disk. All of the polygons are actually the same size and the lines are all the same length. This wouldn't necessarily present a sign9ficant problem though, as whichever polygon  you're centered on - as well as the ones immediately surrounding it - will be relatively undistorted.

I'm getting 404s on those.
Title: Re: Non-Euclidean Battle Grids
Post by: Reginald Ret on November 16, 2014, 07:54:28 PM
Same here.
Title: Re: Non-Euclidean Battle Grids
Post by: Prelate Diogenes Shandor on November 17, 2014, 12:31:54 AM
Ok, it should be fixed now. Apparently the web address was case sensitive. Also there was a typo in the second one caused by my tablet's crappy touchscreen.
Title: Re: Non-Euclidean Battle Grids
Post by: Mesozoic Mister Nigel on November 17, 2014, 04:30:17 AM
Oh, yeah, I could see that. But actually the form of non-euclidean mapping I am most surprised to not see is a simple globe.
Title: Re: Non-Euclidean Battle Grids
Post by: Prelate Diogenes Shandor on November 17, 2014, 05:23:06 AM
I don't think there are as many regular tilings of the spherical plane as there are of the hyperbolic plane

Quote from: Telarus on November 15, 2014, 11:59:56 PM
Here's a Rogue-like for yah: http://www.roguetemple.com/z/hyper/

Thanks for the suggestion. That game's pretty cool.

   
Title: Re: Non-Euclidean Battle Grids
Post by: Reginald Ret on November 17, 2014, 04:14:49 PM
Quote from: Sexy St. Nigel on November 17, 2014, 04:30:17 AM
Oh, yeah, I could see that. But actually the form of non-euclidean mapping I am most surprised to not see is a simple globe.
That would a mayor improvement of the CIV games.
Title: Re: Non-Euclidean Battle Grids
Post by: Doktor Howl on November 17, 2014, 04:16:52 PM
Quote from: Reginald Ret (07/05/1983 - 06/11/2014) on November 17, 2014, 04:14:49 PM
Quote from: Sexy St. Nigel on November 17, 2014, 04:30:17 AM
Oh, yeah, I could see that. But actually the form of non-euclidean mapping I am most surprised to not see is a simple globe.
That would a mayor improvement of the CIV games.

In the Universe of Civ, physics is based on Pac Man.
Title: Re: Non-Euclidean Battle Grids
Post by: Reginald Ret on November 17, 2014, 08:25:34 PM
Quote from: Doktor Howl on November 17, 2014, 04:16:52 PM
Quote from: Reginald Ret (07/05/1983 - 06/11/2014) on November 17, 2014, 04:14:49 PM
Quote from: Sexy St. Nigel on November 17, 2014, 04:30:17 AM
Oh, yeah, I could see that. But actually the form of non-euclidean mapping I am most surprised to not see is a simple globe.
That would a mayor improvement of the CIV games.

In the Universe of Civ, physics is based on Pac Man.
Morality as well, now that you mention it!
Title: Re: Non-Euclidean Battle Grids
Post by: Doktor Howl on November 17, 2014, 08:30:40 PM
Quote from: Reginald Ret (07/05/1983 - 06/11/2014) on November 17, 2014, 08:25:34 PM
Quote from: Doktor Howl on November 17, 2014, 04:16:52 PM
Quote from: Reginald Ret (07/05/1983 - 06/11/2014) on November 17, 2014, 04:14:49 PM
Quote from: Sexy St. Nigel on November 17, 2014, 04:30:17 AM
Oh, yeah, I could see that. But actually the form of non-euclidean mapping I am most surprised to not see is a simple globe.
That would a mayor improvement of the CIV games.

In the Universe of Civ, physics is based on Pac Man.
Morality as well, now that you mention it!

Balls.  I am a peaceful and wise tyrant.
Title: Re: Non-Euclidean Battle Grids
Post by: Reginald Ret on November 19, 2014, 08:23:28 PM
Quote from: Doktor Howl on November 17, 2014, 08:30:40 PM
Quote from: Reginald Ret (07/05/1983 - 06/11/2014) on November 17, 2014, 08:25:34 PM
Quote from: Doktor Howl on November 17, 2014, 04:16:52 PM
Quote from: Reginald Ret (07/05/1983 - 06/11/2014) on November 17, 2014, 04:14:49 PM
Quote from: Sexy St. Nigel on November 17, 2014, 04:30:17 AM
Oh, yeah, I could see that. But actually the form of non-euclidean mapping I am most surprised to not see is a simple globe.
That would a mayor improvement of the CIV games.

In the Universe of Civ, physics is based on Pac Man.
Morality as well, now that you mention it!

Balls.  I am a peaceful and wise tyrant.
Who eats all the smaller dots.