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Penturanga. Chaturanga on a board with 46 pentagonal cells. (8x5, Cells: 46) [All Comments] [Add Comment or Rating]
Ben Reiniger wrote on Thu, Aug 26, 2010 09:11 AM EDT:
So this is really (locally) a hexagonal game, since each 'square' has six neighbors; is it different (globally) from a standard hex setup?

EDIT: Ah, I missed this discussion a couple years back.  I think perhaps the original comment by Gilman answers my question most fully: it's not a 'standard' hex setup.  It seems too that the piece movement is not standard for hex games, but I don't see anything that forces us to use the pentagonal layout for ease of visualization.  It is neat though how the pentagons have been laid out.

Daniil Frolov wrote on Thu, Aug 26, 2010 05:51 AM EDT:Good ★★★★
Actually, representation is everything. For example, look at my game 'Square and hex on same board' - http://www.chessvariants.org/index/msdisplay.php?itemid=MSsquareandhexon
or at this (zzo38) A. Black's comment about 1-dimensional games - http://www.chessvariants.org/index/displaycomment.php?commentid=25177

But i'm going to post another petagonal variant now, wich is more different from hexagonal variants, each 'square' have 5 orthogonally-adjecent 'squares'.

Joe Joyce wrote on Tue, Dec 9, 2008 11:02 PM EST:
Yes, the horses are 'colorbound'; they travel a circuit that only includes 1/3 of the board, like the elephants. Unlike the elephants, the knights not only change pentagon colors while traveling, they form pairs with their diagonally opposite opponent horses, so they are able to be exchanged, whereas only one pair of opposing and exchangeable elephants exists. Note that exchanges between elephants and knights exist and are balanced. The weak pieces, able to visit only limited portions of the board, and not necessarily able to interact with each other, are a feature of the oldest games of chess. Graeme's subtle use of this contributes to the 'large' feel of a small game, and it is not easily noticed. Nice eye. Did you notice it while looking at the 3x5 hex board? The pattern should show up more strongly there. It's easy to miss the boundness, as the knight's move is the easiest to do wrong in a game.

John Smith wrote on Tue, Dec 9, 2008 08:11 PM EST:
I'm just saying, if you want a third Elephant. Does anyone notice that the Horses are colourbound?

Joe Joyce wrote on Tue, Dec 9, 2008 12:28 PM EST:
John, you're right that modifying the board that way gives an extra rear rank board location for each side to place a third bishop, and, being 3 pentagons per hexagon, this also gives a 45 position board, fitting the contest theme. I have 2 objections to that, however, The first is aesthetic. The board will be a parallelogram, with corner angles of 60 and 120. It doesn't look right, and it's annoying to play at an angle like that - you want to grab the board [right off the screen] and straighten it out. The second objection is concerned with playability. 

Take a look at both of the boards. The center row of one is 3 hexes - 9 pentagons - across. The other is 4 hexes, and 12 playable spots in the middle of the board. The 3 extra spots in the center on Graeme's board are the one that was lost going from 46 to 45, and the two that the extra elephants occupy, now in the back rows. Does this make much of a difference?

How many pawns does it take to make a solid wall completely across the board? In Graeme's game, in the setup, the 6 pawns cover the 3 hex board 'row' they're on, occupying 2 of the 3 pentagons in each hexagon. To do the same in the middle of Graeme's, you'd need 8 pawns, which the game doesn't have. The middle of Graeme's board cannot be clogged by pawns. On the 45 position board, it only takes 5 pawns to clog [form an unbroken line from side to side] the board. There are 6 pawns in the game. 

In general, especially with all other things being equal, I believe that the narrower the front, the easier it is to jam it up with pieces and kill zones, so the more drawish it will be. Further, Graeme's board is very roughly circular [at least in intent], giving maximum room for maneuver in the center of the board. This game won the contest because it 'plays big'. It feels like the 64 square game, even though it's on a much smaller board. It also doesn't feel crowded, thought the starting piece density is ~60%. Narrowing the board from Graeme's 6-8 pentagons down to 5 pentagons, losing one spot and adding two pieces would likely create a clog in the middle of the board, in my opinion.

John Smith wrote on Tue, Dec 9, 2008 12:05 AM EST:
Graeme, did you think of making a board with 3 columns by 5 rows of hexagons? Doing so allows you to have 3 Elephants without an awkward setup.

💡📝Graeme Neatham wrote on Sat, Nov 29, 2008 04:20 PM EST:

Sam Trenholme wrote:
'Would you be open to me modifying your Zillions' file ...'


Please feel free to modify the file as you wish.

I think Game Courier only supports square or hex boards though it may be possible to upload a custom graphic.


Sam Trenholme wrote on Sat, Nov 29, 2008 12:29 PM EST:
Mr. Neatham:

Would you be open to me modifying your Zillions' file to have, in the variant pop-down-list, some ideas suggested here:

  • Free pawn promotion
  • An opening setup where each side gets three elephants
  • Both of the above ideas
If so, I can make the necessary changes to the Zillions file. Also, I wonder how hard this will be to implement for Game Courier.

- Sam


John Smith wrote on Fri, Nov 28, 2008 04:34 PM EST:
I would be interested. I could help you make a game out of that idea if you'd like. I'm very good at making games with a certain attribute or restriction.

Sam Trenholme wrote on Fri, Nov 28, 2008 03:27 PM EST:Excellent ★★★★★
I love it when people break the mold and come up with an alternate tessellation for a chess variant (such as Parachess).

Speaking of which, is there any interest in my inventing a variant using an alternate tessellation. I have an idea that has been bouncing around my head for over a decade which I should make a variant out of, but only if people would be interested in looking at it.

- Sam


John Smith wrote on Fri, Nov 28, 2008 12:11 PM EST:Excellent ★★★★★
This game is great. I have 2 complaints, however. 1 is that there is a bias for the medium tan for the Elephant's boundness. Perhaps you could change the setup and have 3 Elephants per side. 2 is that the board is too cramped, just as in your other game, Step and Circle Trig Chess.

JCRuhf wrote on Thu, Jul 17, 2008 05:35 PM EDT:Good ★★★★
I like this game very much, but I would not have limited the pawn promotion
so much had I created it. The first thing I would do if I were
transliterating Chaturanga/Shatranj to a quasi-pentagonal board would be
to keep the basic pawn promotion rule from the original game intact
instead of discarding it altogether and then add the piece that starts on
or directly in front of that cell to the promotion options. In the event
that a Pawn landed where the opponent's Adviser/Counselor started, it
would be able to promote to any piece other than the king. That gripe
aside, the game is a very good quasi-pentagonal version of chess. However,
there is no rating between Good and Excellent and I could not really give
an Excellent rating the game is not completely faithful to its historical
original with regards to Pawn promotion.
P.S. I am referring to the board as quasi-pentagonal because a true
pentagonal board is a tessellation of pentagons that does not involve
pushing small groups of them together into shapes other than pentagons and
I did not call it hexagonal as that would imply that it was nothing more
than a hexagonal grid.

💡📝Graeme Neatham wrote on Sat, Dec 8, 2007 11:35 AM EST:
Joe,
just sent you an email.

Cheers
Graeme

Joe Joyce wrote on Fri, Dec 7, 2007 10:04 PM EST:
Graeme, sorry for contacting you this way, but I've had some computer issues recently, and I currently cannot send emails, though I can receive them.

Do you have board templates for this game and your other contest entries? If you do, would you please email them to me [see my person info onsite], as I'm lazy enough [or too pressed for time right now, if you prefer] not to want to make the boards tonight or tomorrow morning, for purposes of judging your entries. Jeremy and I hope to look at them this weekend, as we've already started work on the entries. We got together a bit last weekend and looked at 2 games [not yours], and plan to get together after this weekend at least once more in January to continue the difficult work of playing games to see which ones are best; rough, but somebody's gotta do it. If you don't, no big problem. By next month, we can make the boards, and look at your stuff then. Either way, thanks for your attention to this. Joe

David Cannon wrote on Tue, Dec 4, 2007 06:24 PM EST:Excellent ★★★★★
Well done Graeme! I like this layout. One suggestion I'd make is to expand the board, however. The size is ideal for the short-range pieces, but the rook would love some long runways to run on. I'm impressed by the way you've been able to design a pentagonal board; I've tried that myself, but couldn't come up with a model that satisfied me completely. But you've done it - congratulations.

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