Author Topic: Non-Euclidean Battle Grids  (Read 2195 times)

Prelate Diogenes Shandor

  • Promotor Fidei
  • Deserved It
  • ****
  • Posts: 17423
  • Behold! The Yellow Sign of Dobbshead
    • View Profile
    • Yiffstar User Profile
Non-Euclidean Battle Grids
« 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?
Praise NHGH! For the tribulation of all sentient beings.

a plague on both your houses -Mercutio

https://www.youtube.com/watch?v=zrTGgpWmdZQ
https://www.youtube.com/watch?v=rVWd7nPjJH8

It is an unfortunate fact that every man who seeks to disseminate knowledge must contend not only against ignorance itself, but against false instruction as well. No sooner do we deem ourselves free from a particularly gross superstition, than we are confronted by some enemy to learning who would plunge us back into the darkness -H.P.Lovecraft

He who fights with monsters must take care lest he thereby become a monster -Nietzsche

https://www.youtube.com/watch?v=SHhrZgojY1Q

You are a fluke of the universe, and whether you can hear it of not the universe is laughing behind your back -Deteriorata

Don't use the email address in my profile, I lost the password years ago

Reginald Ret

  • 'Miserable Atrocianthrope'
  • Deserved It
  • ****
  • Posts: 38806
  • Interweb Gloryhole QC Inspector #23
    • View Profile
Re: Non-Euclidean Battle Grids
« Reply #1 on: November 15, 2014, 12:22:15 pm »
That would be very confusing.
Lord Byron: "Those who will not reason, are bigots, those who cannot, are fools, and those who dare not, are slaves."

Nigel saying the wisest words ever uttered: "It's just a suffix."

"The worst forum ever" "The most mediocre forum on the internet" "The dumbest forum on the internet" "The most retarded forum on the internet" "The lamest forum on the internet" "The coolest forum on the internet"

Mesozoic Mister Nigel

  • v=1/3πr2h
  • Deserved It
  • ****
  • Posts: 687093
  • The sky tastes like red exuberance.
    • View Profile
Re: Non-Euclidean Battle Grids
« Reply #2 on: November 15, 2014, 07:48:36 pm »


?

“I’m guessing it was January 2007, a meeting in Bethesda, we got a bag of bees and just started smashing them on the desk,” Charles Wick said. “It was very complicated.”


Telarus

  • Fictional Ego
  • Deserved It
  • ****
  • Posts: 12309
  • Ratcheting Metallic Sex Doll of The End Times
    • View Profile
Re: Non-Euclidean Battle Grids
« Reply #3 on: November 15, 2014, 11:59:56 pm »
Here's a Rogue-like for yah: http://www.roguetemple.com/z/hyper/
Telarus, KSC,
.__.  Keeper of the Contradictory Cephalopod, Zenarchist Swordsman,
(0o)  Tender to the Edible Zen Garden, Ratcheting Metallic Sex Doll of The End Times,
/||\   Episkopos of the Amorphous Dreams Cabal

Join the Doll Underground! Experience the Phantasmagorical Safari!

Prelate Diogenes Shandor

  • Promotor Fidei
  • Deserved It
  • ****
  • Posts: 17423
  • Behold! The Yellow Sign of Dobbshead
    • View Profile
    • Yiffstar User Profile
Re: Non-Euclidean Battle Grids
« Reply #4 on: November 16, 2014, 06:18:13 am »


?

I was thinking more like this:



or this:



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.
« Last Edit: November 17, 2014, 12:29:01 am by Prelate Diogenes Shandor »
Praise NHGH! For the tribulation of all sentient beings.

a plague on both your houses -Mercutio

https://www.youtube.com/watch?v=zrTGgpWmdZQ
https://www.youtube.com/watch?v=rVWd7nPjJH8

It is an unfortunate fact that every man who seeks to disseminate knowledge must contend not only against ignorance itself, but against false instruction as well. No sooner do we deem ourselves free from a particularly gross superstition, than we are confronted by some enemy to learning who would plunge us back into the darkness -H.P.Lovecraft

He who fights with monsters must take care lest he thereby become a monster -Nietzsche

https://www.youtube.com/watch?v=SHhrZgojY1Q

You are a fluke of the universe, and whether you can hear it of not the universe is laughing behind your back -Deteriorata

Don't use the email address in my profile, I lost the password years ago

Mesozoic Mister Nigel

  • v=1/3πr2h
  • Deserved It
  • ****
  • Posts: 687093
  • The sky tastes like red exuberance.
    • View Profile
Re: Non-Euclidean Battle Grids
« Reply #5 on: November 16, 2014, 06:17:24 pm »


?

I was thinking more like this:



or this:



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.
“I’m guessing it was January 2007, a meeting in Bethesda, we got a bag of bees and just started smashing them on the desk,” Charles Wick said. “It was very complicated.”


Reginald Ret

  • 'Miserable Atrocianthrope'
  • Deserved It
  • ****
  • Posts: 38806
  • Interweb Gloryhole QC Inspector #23
    • View Profile
Re: Non-Euclidean Battle Grids
« Reply #6 on: November 16, 2014, 07:54:28 pm »
Same here.
Lord Byron: "Those who will not reason, are bigots, those who cannot, are fools, and those who dare not, are slaves."

Nigel saying the wisest words ever uttered: "It's just a suffix."

"The worst forum ever" "The most mediocre forum on the internet" "The dumbest forum on the internet" "The most retarded forum on the internet" "The lamest forum on the internet" "The coolest forum on the internet"

Prelate Diogenes Shandor

  • Promotor Fidei
  • Deserved It
  • ****
  • Posts: 17423
  • Behold! The Yellow Sign of Dobbshead
    • View Profile
    • Yiffstar User Profile
Re: Non-Euclidean Battle Grids
« Reply #7 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.
Praise NHGH! For the tribulation of all sentient beings.

a plague on both your houses -Mercutio

https://www.youtube.com/watch?v=zrTGgpWmdZQ
https://www.youtube.com/watch?v=rVWd7nPjJH8

It is an unfortunate fact that every man who seeks to disseminate knowledge must contend not only against ignorance itself, but against false instruction as well. No sooner do we deem ourselves free from a particularly gross superstition, than we are confronted by some enemy to learning who would plunge us back into the darkness -H.P.Lovecraft

He who fights with monsters must take care lest he thereby become a monster -Nietzsche

https://www.youtube.com/watch?v=SHhrZgojY1Q

You are a fluke of the universe, and whether you can hear it of not the universe is laughing behind your back -Deteriorata

Don't use the email address in my profile, I lost the password years ago

Mesozoic Mister Nigel

  • v=1/3πr2h
  • Deserved It
  • ****
  • Posts: 687093
  • The sky tastes like red exuberance.
    • View Profile
Re: Non-Euclidean Battle Grids
« Reply #8 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.
“I’m guessing it was January 2007, a meeting in Bethesda, we got a bag of bees and just started smashing them on the desk,” Charles Wick said. “It was very complicated.”


Prelate Diogenes Shandor

  • Promotor Fidei
  • Deserved It
  • ****
  • Posts: 17423
  • Behold! The Yellow Sign of Dobbshead
    • View Profile
    • Yiffstar User Profile
Re: Non-Euclidean Battle Grids
« Reply #9 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

Here's a Rogue-like for yah: http://www.roguetemple.com/z/hyper/

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

   
« Last Edit: November 17, 2014, 05:24:52 am by Prelate Diogenes Shandor »
Praise NHGH! For the tribulation of all sentient beings.

a plague on both your houses -Mercutio

https://www.youtube.com/watch?v=zrTGgpWmdZQ
https://www.youtube.com/watch?v=rVWd7nPjJH8

It is an unfortunate fact that every man who seeks to disseminate knowledge must contend not only against ignorance itself, but against false instruction as well. No sooner do we deem ourselves free from a particularly gross superstition, than we are confronted by some enemy to learning who would plunge us back into the darkness -H.P.Lovecraft

He who fights with monsters must take care lest he thereby become a monster -Nietzsche

https://www.youtube.com/watch?v=SHhrZgojY1Q

You are a fluke of the universe, and whether you can hear it of not the universe is laughing behind your back -Deteriorata

Don't use the email address in my profile, I lost the password years ago

Reginald Ret

  • 'Miserable Atrocianthrope'
  • Deserved It
  • ****
  • Posts: 38806
  • Interweb Gloryhole QC Inspector #23
    • View Profile
Re: Non-Euclidean Battle Grids
« Reply #10 on: November 17, 2014, 04:14:49 pm »
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.
Lord Byron: "Those who will not reason, are bigots, those who cannot, are fools, and those who dare not, are slaves."

Nigel saying the wisest words ever uttered: "It's just a suffix."

"The worst forum ever" "The most mediocre forum on the internet" "The dumbest forum on the internet" "The most retarded forum on the internet" "The lamest forum on the internet" "The coolest forum on the internet"

Doktor Howl

  • SHIT FIXER
  • One-Armed Jizz Moppers
  • Deserved It
  • **
  • Posts: 386316
    • View Profile
Re: Non-Euclidean Battle Grids
« Reply #11 on: November 17, 2014, 04:16:52 pm »
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.

Reginald Ret

  • 'Miserable Atrocianthrope'
  • Deserved It
  • ****
  • Posts: 38806
  • Interweb Gloryhole QC Inspector #23
    • View Profile
Re: Non-Euclidean Battle Grids
« Reply #12 on: November 17, 2014, 08:25:34 pm »
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!
Lord Byron: "Those who will not reason, are bigots, those who cannot, are fools, and those who dare not, are slaves."

Nigel saying the wisest words ever uttered: "It's just a suffix."

"The worst forum ever" "The most mediocre forum on the internet" "The dumbest forum on the internet" "The most retarded forum on the internet" "The lamest forum on the internet" "The coolest forum on the internet"

Doktor Howl

  • SHIT FIXER
  • One-Armed Jizz Moppers
  • Deserved It
  • **
  • Posts: 386316
    • View Profile
Re: Non-Euclidean Battle Grids
« Reply #13 on: November 17, 2014, 08:30:40 pm »
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.

Reginald Ret

  • 'Miserable Atrocianthrope'
  • Deserved It
  • ****
  • Posts: 38806
  • Interweb Gloryhole QC Inspector #23
    • View Profile
Re: Non-Euclidean Battle Grids
« Reply #14 on: November 19, 2014, 08:23:28 pm »
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.
Lord Byron: "Those who will not reason, are bigots, those who cannot, are fools, and those who dare not, are slaves."

Nigel saying the wisest words ever uttered: "It's just a suffix."

"The worst forum ever" "The most mediocre forum on the internet" "The dumbest forum on the internet" "The most retarded forum on the internet" "The lamest forum on the internet" "The coolest forum on the internet"