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Raumschach. The classical variant of three-dimensional chess: 5 by 5 by 5. (5x(5x5), Cells: 125) (Recognized!)[All Comments] [Add Comment or Rating]
Bob Greenwade wrote on Fri, Mar 15 03:45 PM UTC in reply to Ben Reiniger from 02:44 PM:

Also, @Fergus, the green version of the item description here is completely unreadable on the new background color of comment headers.

I was getting ready to give the same note. :)


Ben Reiniger wrote on Fri, Mar 15 02:44 PM UTC in reply to H. G. Muller from 10:38 AM:

The promotion zone the article mentions makes no sense to me

Indeed. And the CECV and Moeser both say that the promotion zones are E*5 and A*1. (Not also D*5 and B*1 as you suggest, perhaps just because the pawns there can still advance one more.)

Also, @Fergus, the green version of the item description here is completely unreadable on the new background color of comment headers.


H. G. Muller wrote on Fri, Mar 15 10:38 AM UTC:

The promotion zone the article mentions makes no sense to me: Pawns can be moved such that they never could reach the zone. It would make more sense to have white Pawns promote where the black (non-Pawn) pieces start. So the far end of level D and E, not of A and B.


Carson C wrote on Sun, Jan 14 10:48 PM UTC in reply to Alan Kopta from Sun Apr 5 2009 08:50 PM:

I am extremely curious as to what you came up with in regards to a Raumschach board which allows you to visualize the unicorns without taking away from the visualization of the bishops. I don’t know if this comment will notify you, but if it does and you still have the diagrams my email is [email protected]. I’m quite late to this page but I only recently found this game and am greatly enjoying learning it.


Jean-Louis Cazaux wrote on Sun, Dec 12, 2021 12:19 PM UTC in reply to octarinebean from 02:04 AM:

Excellent! Thank you very much


octarinebean wrote on Sun, Dec 12, 2021 02:04 AM UTC:

I found the book from the inventor describing the game in 1919:

https://core.ac.uk/reader/14514151.

He gives multiple versions of the starting position and rules for pawn movement, as well as also describing some 4x4x4 and 7x7x7 variants. The version this article covers is the 10 pawn version (C3) of type C "Neue", which Maack calls the normal way to play. There is also the type A "alte" with pawns only on the γ level, and the type B "vier Einhörnern" where each side has four unicorns, but only one rook and knight, in order to span the whole board with each piece. All of the diagrams in the book show point reflection symmetry, not rotation symmetry, between the two sides, contrary to this article. The type B "reduzierte" pawn movement which the author prefers is disliked by Maack, in favor of the type C "neue" pawn which includes the forward-and-vertical capture.

Please make good use of this primary source, which, it seems, no one until now has found.


Ben Reiniger wrote on Mon, Jul 15, 2019 09:26 PM UTC:

@Kelvin, I think these are equivalent, because of the current text's requirement "always in the same coordinate plane," or from the later "never step through the corner of a cell."

Also equivalent, I think, is the one-orthogonal one-diagonal-outward if this page treated the unicorn's "triagonal" as non-diagonal.  I think maybe the easiest description would be "like a knight in any of the coordinate planes," but that's probably pretty subjective.

If you disagree with any of these equivalences, could you point out an example move that one has that the other doesn't?


KelvinFox wrote on Mon, Jul 15, 2019 08:23 PM UTC:

The description for the knight is incorrect. It should read that the knight moves tw squares in one rook wise direction and 1 in another. The piece's current description, while making the same piece as the first one on 2d boards, gives a different piece on 3d boards


Jim a wrote on Fri, Mar 9, 2018 02:03 PM UTC:

What if you changed the unicorn so that in addition to its normal move/capture movement along the corners of cubes, it could move (but not capture) only one square along a diagonal edge of a cube?  That would allow each unicorn to cover all the squares of it's color, without making it too overpowered. 


Kevin Pacey wrote on Thu, Jan 5, 2017 04:23 AM UTC:

I'd tentatively estimate the relative piece values in Raumschach as follows:

P=1; U=1.75; R=3; B=3.25; N=5; Q=10, and a K has a fighting value =6.66 (noting it can't be traded).


Kevin Pacey wrote on Sat, Aug 27, 2016 11:11 AM UTC:

Two possibly interesting variations on the rules of Raumschach could be based on altering its setup postion, replacing each side's rather weak Unicorns with either Manns (non-royal pieces that move like kings), or alternatively compound pieces, all of Mann & Unicorn movement capabilities combined. I tend to fancy the latter alternative at the moment (keeping the setup position the same in other respects). In either variation of the rules, the Unicorns are replaced with in effect major pieces (joining the queen as one), and perhaps significantly increasing the possibility of delivering an early mate (moreso if the suggested compound pieces are used). Meanwhile, rooks, bishops and knights are still preserved as relative minor pieces, and might be swapped without great loss for a few pawns if required during a game.

I'm not sure either idea for a variation on the rules of Raumschach would be significant enough to warrant 1 or 2 submissions to CVP, but I thought I'd put the variations out there for possible discussion, at least. As an aside, I think Alice Chess is, to date, the ultimate 3D variant as far as being chess-like, but if Raumschach can be improved on somehow that still may be worthwhile as a goal.


H. G. Muller wrote on Fri, Feb 19, 2016 09:06 AM UTC:
OK, I see. You cover the two squares with the Bishop from another plane. If you do that from the cell a Unicorn step away from it, it is even forcible to some extent. If the posting system had not deleted my first very elaborate attempt to post this, I would even have given a mate in 4.

Kevin Pacey wrote on Thu, Feb 18, 2016 09:42 PM UTC:
H.G. wrote:

K.Pacey> in Raumschach there are possible mating positions with a K & B plus R

"How do you envisage that? Even in a corner the bare King can only be limited to a plane, and the other pieces would have to cover 4 squares in that plane (including the one the bare King is on). A Bishop could check and cover one of those at the same time, but the only way for a Rook to cover the other two would put it in a place that blocks the Bishop from checking.

I think you need at least two Rooks to have a mate position. And I am not sure that is forcible."

Hi H.G.

I imagined the lone K in a corner on the upper level. The superior side's K would be in opposition to it on the same file (say), same level. The superior side's B would be on the square between them on the same file, same level. The superior side's R (the mating piece) would be on the same corner square as the lone king, except one level below it. The R would be protected by the B. Thus, aside from the superior side's K guarding 4 critical squares, the B guards 2 critical squares (including one on the upper level), and the R guards 2 critical squares (including one on the level below the Ks). That's if I've visualized this all correctly.

H. G. Muller wrote on Thu, Feb 18, 2016 09:20 PM UTC:
> <i>in Raumschach there are possible mating positions with a K & B plus R</i> <p> How do you envisage that? Even in a corner the bare King can only be limited to a plane, and the other pieces would have to cover 4 squares in that plane (including the one the bare King is on). A Bishop could check and cover one of those at the same time, but the only way for a Rook to cover the other two would put it in a place that blocks the Bishop from checking. <p> I think you need at least two Rooks to have a mate position. And I am not sure that is forcible.

Kevin Pacey wrote on Thu, Feb 18, 2016 07:10 PM UTC:Good ★★★★
I may be wrong, but so far I've concluded that in Raumschach there are possible mating positions with a K & B plus R (or an opposite coloured B) vs. lone K, but it seems that they are not forcible, or 'basic' mates (unlike K & Q vs. lone K). I'm wondering if a K plus some combination(s) of 3 pieces (aside from including any Q or P) can force mate against a lone K. Perhaps more than 3 such pieces are required?

Malcolm Webb wrote on Wed, Jan 30, 2013 10:19 PM UTC:BelowAverage ★★
I noted an acknowledgement of Mr Pfieffer in pointing out the error. However there is no acknowledgement of David Paulowich for pointing out another error. According to Dickins' book Black pawns promote on A first rank, White pawns promote on E fifth rank.

Malcolm Webb wrote on Wed, Jan 30, 2013 10:05 PM UTC:BelowAverage ★★
This page (& the associated Zillions rules file) would be good if the pieces were set up correctly. Mr Pfieffer is right: according to Anthony Dickins "A Guide to Fairy Chess" the positions of the Black pieces on the D-level should be:

Da5-Unicorn, Db5-Bishop, Dc5-Queen, Dd5-Unicorn, De5-Bishop.

That is, each player should see each of their Bishops to the left of each of their Unicorns. Unfortunately the author has not yet corrected this error.

Dickins' book is a secondary source, based on articles by T.R.Dawson in Chess Amateur 1926. The most authoritative source would be Ferdinand Maack's original three books in German; if anyone has access to these books and can show that Dickins was wrong, then I stand corrected. However this page references Dickins' book without correctly implementing it.

There are problems with Raumschach as a game, one being the incomplete coverage of the 3D-board by the Unicorns. However Raumschach has a place in Chess history, and should be correctly presented with all its faults.

Ben Reiniger wrote on Mon, Feb 28, 2011 07:10 PM UTC:
In response to the anonymous comment, if the bishops are placed adjacent to the queen, then they are both bound to the same color, which is often considered unfavorable.

Anonymous wrote on Mon, Feb 28, 2011 04:17 AM UTC:Poor ★
both bishops should be beside the queen.

Eduardo wrote on Tue, Jan 4, 2011 12:03 AM UTC:
Hi. The old ASCII version of this site has a different initial position for Black Unicorn. Which is correct, Db5 or Da5?

Alfred Pfeiffer wrote on Fri, Aug 20, 2010 04:25 PM UTC:
The initial setup of the black pieces is wrong. 
For the correct starting array swap the black Bishops with the Unicorns. Then you get the following arrangement at the Level D:

+---+---+---+---+---+
| u | b | q | u | b | 5  Queen Dc5; Bishop Db5, De5; Unicorn Da5, Dd5; 
+---+---+---+---+---+
| p | p | p | p | p | 4  Pawn Da4, Db4, Dc4; Dd4; De4.
+---+---+---+---+---+
|   |   |   |   |   | 3
+---+---+---+---+---+
|   |   |   |   |   | 2
+---+---+---+---+---+
|   |   |   |   |   | 1
+---+---+---+---+---+
  a   b   c   d   e

Unfortunately also the Zillions file in 'raum.zip' copied this error.

The error does not occur at the old page for this variant: 'http://www.chessvariants.com/old.dir/3d5.html'.

See also the books:
 Anthony Dickins: A Guide to Fairy Chess, and
 D. B. Pritchard: The Encyclopedia of Chess Variants.

David Paulowich wrote on Sun, Jul 18, 2010 10:13 PM UTC:

ATTENTION: the following diagram and rules are (c) 2004 Jim Aikin and are taken from his webpage Five Up. Note: Jim's 5x5x5 variant sets up the White pieces on the top two levels, thus requiring the White Pawns to move downwards. Apart from this change, his pawn movement rules are the same as those stated in my comment ten days earlier.

Figure 6. The white pawn shown here, which is advancing toward the A5 row, 
can make capturing moves to the cells marked 'x' and non-capturing moves to the cells marked '+'.

   _ _ _ _ _     _ _ _ _ _     _ _ _ _ _     _ _ _ _ _     _ _ _ _ _  
5 |_|_|_|_|_| 5 |_|_|_|_|_| 5 |_|_|_|_|_| 5 |_|_|_|_|_| 5 |_|_|_|_|_| 
4 |_|_|_|_|_| 4 |_|x|_|_|_| 4 |x|+|x|_|_| 4 |_|_|_|_|_| 4 |_|_|_|_|_| 
3 |_|_|_|_|_| 3 |x|+|x|_|_| 3 |_|P|_|_|_| 3 |_|_|_|_|_| 3 |_|_|_|_|_| 
2 |_|_|_|_|_| 2 |_|_|_|_|_| 2 |_|_|_|_|_| 2 |_|_|_|_|_| 2 |_|_|_|_|_| 
1 |_|_|_|_|_| 1 |_|_|_|_|_| 1 |_|_|_|_|_| 1 |_|_|_|_|_| 1 |_|_|_|_|_| 
A  a b c d e  B  a b c d e  C  a b c d e  D  a b c d e  E  a b c d e 

Joe Joyce wrote on Fri, Jul 9, 2010 01:39 PM UTC:
Would setting the preset up sideways help? 
/play/pbm/play.php?game%3DSideways+Raumschach%26settings%3DRaumschach+Revised%2C+Sideways
I think it would be pretty obvious where pawns could promote with this setup.

David Paulowich wrote on Thu, Jul 8, 2010 01:51 PM UTC:

ATTENTION: the 3-D CHESS FAQ FILE contradicts this Raumschach page with the following information: 'Pawns promote on the back rank of the opponent's end-level. White Pawns promote on the fifth rank of Level E; Black Pawns promote on the first rank of Level A. Dickins notes that in capturing Pawns must move toward their promotion rank. The '3-D' application of this rule means that a White Pawn on Cc3 can capture on Cb4 or Cd4 (like regular chess) or on Db3, Dd3, or Dc4, but not Db2. (Db2 is upward but backwards -- toward White's back rank instead of toward Black's back rank.)'

NOTE: I have a text-file copy of Bruce Balden's two newsgroup posts on October 8, 1990. I believe that he has accidentally reversed the pawn promotion zones and that the rules originally given on this page are also mistaken. Here is one reason for believing so. Everyone agrees that a pawn on level 'C' must either remain on that level or move to an adjacent level: 'D' for a White Pawn or 'B' for a Black Pawn. But this means that a pawn on level 'C' will never promote (according to Bruce Balden). So I accept David Moeser's pawn promotion zones (the starting squares of your opponent's King, Knights, Rooks) as stated in the 3-D CHESS FAQ FILE.

ALSO: my Raumschach Revised preset has the correct alternation of colors on a (slightly wider) Raumschach board. The initial setup and co-ordinate system match the game information page.


David Howe wrote on Mon, Apr 6, 2009 03:59 PM UTC:
Hi Alan, why don't you post your designs here, and we'll see if we can integrate them into the Raumschach page? Or you can email them to us.

Alan Kopta wrote on Sun, Apr 5, 2009 08:50 PM UTC:
I believe I copied a set of Raumschach design issues from this site, some time back. The issue of cell/cube/square coloring to help indicate triagonal line movers (unicorn/mage) reachable positions like the use of the white and black squares was mentioned but never developed. I just wanted to submit that I believe I have developed a board(s) design which permits indication of the diagonal line mover (bishop) and triagonal line movers. I currently expect to use my design to construct 5 boards using two patterns since the board patterns for the even boards/levels are the same as the boards for the odd boards /levels are the same. So for the game's five levels Levels 1, 3, and five have the same pattern while Levels 2, and 4 have the a pattern different from the pattern of levels 1, 3, and 5. But the same with respect to each other I have bitmap images representing the pattern of the different levels but was not certain if I could or should attempt to present them here.

David Paulowich wrote on Mon, Apr 14, 2008 02:00 PM UTC:

Using the Customize button, before sending an invitation, allows you to choose between Colors: 88AA88 FFFFDD (my colors for Raumschach Revised) and Colors: FFFFDD FF8000 (Matthew's orange). You can even bump the scale up from 65 percent to 75 percent, but that makes the board slightly wider than my 1280 x 1024 display. EDIT: Light/Dark squares also depend on your choice of Board: 10.01. or 01.10. My color scheme was originally chosen to go with Roberto Lavieri's elegant 'Galactic Graphics' pieces, in Midgard Chess. I may be using them in a 3D Chess variant someday.

I must confess that I have not paid much attention to PBM optional features, but I believe that the player receiving a move also has full 'Customize' options. Looks like the onlookers are stuck with the options chosen by the two players, though.


Gary Gifford wrote on Mon, Apr 14, 2008 09:44 AM UTC:
They are too close to say which is better. In fact, depending on the monitor used, one may look better on Monitor A, but look slightly worse on Monitor B.

Matthew La Vallee wrote on Mon, Apr 14, 2008 05:39 AM UTC:
What do you think: better colors? in this one Clearly, this is not an important issue.

David Paulowich wrote on Fri, Apr 11, 2008 03:45 PM UTC:

Matthew, thanks for getting me involved in 3D Chess presets - I have a lot of unfinished business from last year. I have already emailed an editor, changes should be forthcoming.

The 5x5x5 board is treated by the old preset as a 5x29 board, with four files 'painted white'. My new 5x5x5 preset has a 5x33 board, with double-width files 'painted white'. In all cases the square colors were locked into the 5xSomething grid. My 6x6x6 game turned out to be easier to set up.


Matthew La Vallee wrote on Fri, Apr 11, 2008 03:03 PM UTC:Excellent ★★★★★
David, Thank you very much for fixing what I could not in the preset for Raumschach. I looks terrific! It is now exactly as it should be. Say, how did you alternate the colors on the boards? Can we replace the original preset with your revised version? Again, Kudos!

David Paulowich wrote on Thu, Apr 10, 2008 01:01 PM UTC:

My Raumschach Revised preset has the correct alternation of colors on a (slightly wider) Raumschach board. I think I also managed to set up all the pieces correctly.

Please use my Person Information page to send me an email, if you find any mistakes. Later this month, I will try to get an editor to add a link on the game information page.

EDIT: Gave the new board the same green/yellow squares as Midgard Chess and increased the font size to 14. Got to thinking about an old 6x6x6 variant of mine and decided to post a (temporary) preset: link here. I don't know when I am going to find the time to playtest any 3D variants, but these two presets are not limited to their specific games - anyone can hit the [Edit] button on any preset to generate something new - you just have to rename and save your new preset.


Matthew La Vallee wrote on Thu, Apr 10, 2008 09:33 AM UTC:Poor ★
Yes, poor, but not Raumschach, itself. It is the game's preset which is 'poor.'.'*** The preset given on this site for Raumschach is improperly set-up in several ways. ( Here is a link to my only partially fixed version. Still, several of it's major problems are fixed.).*** First of all, the boards themselves are aligned incorrectly. The preset on this site depicts them in an identical array, side-by-side. Really, the squares on the second and fourth boards should be mirror images of the boards above and below them. Thus, the squares Aa1, Ba1, Ca1, Da1, and Ea1 should alternate in color, as should, obviously, every other square on the board with regard to its vertical file, and should be the same color along 3D diagonals. One needs only to look in the rules section for Raumschach to note the discrepancy between the example board given there, and the boards present in the preset.*** The incorrect positions of the second and fourth boards (or, if you want, the first, third, and fifth boards- it makes no difference) have many potentially confusing consequences with regard to all of the 3D movement of the pieces. The Bishops, and the Queens, when executing 3D, board-to-board, diagonal movements, are NOT color bound. They are so when moving on a single board, but, should either move one board above, or below, diagonally, they swap colors, and continue to do so top to bottom. Conversely, when a Rook moves along a 3D file it IS a color bound piece, and the Unicorn, which may never move on one board, 2D, is ALWAYS color bound, though in the original game, it is not. Even a Knight, when moving two squares, say, up, then over one square, must first pass through two squares of the same color.***The CVP Game Courier's Raumschach preset has another problem; the placement of the Unicorns and the Bishops are, here, the opposite of the games original starting set-up, and is, again, demonstrated in the rules page. The white Bishop on the square which, in this preset, is named Db1 (yet another problem!) should really be positioned at Da1, and the Unicorn should be at Db1. All of the other Bishops and unicorns should similarly 'swap' positions, as well. I'm not certain if this inconsistency should have a substantial impact on the game's play. Still, unless one is attempting a variant, it would probably be best to depict the game as it was originally conceived. *** Alas, we come to yet another problem. All of the pieces are placed exactly opposite of how they should be arranged. Here, the white pieces start on the E ranks, and the dark pieces are placed on the A ranks. Though one might consider this a technicality, if one were to, say, want to transcribe a game of Raumschach played on this site, it would make no sense to someone accustomed to the game's proper configuration.*** I am well aware of the difficulty involved in creating these presets. I have just completed one myself- Rennchess II, Eric Greenwood's new sequel to his awe-inspiring game Rennchess I. I need only finish its rules, and y'all can try it. I am also struggling with another preset of my own design at the moment, as well. I even tried to edit the preset for Raumschach, but was only partially successful. There were certain changes which were beyond my current capacities. I'm new at this. Yet, I do think we owe it to the inventor of Raumschach, Herr Doktor Ferdinand Maack (yes, apparently, that was really his name!), to portray his game as he intended. This game was invented in 1907! Few other chess variants can claim such seniority, despite Raumshach's often discussed flaws. It's a pretty darn fun, very challenging game- flaws and all!*** Finally, I wanted to make it clear that I mean no disrespect towards the creator of this preset, and, if I come across as snide in any way, it was entirely unintended. I respect that the creator of this Raumschach preset took the time to make a preset (and a difficult one, at that!) for a chess variant which has been, for many, a source of contention for some time.*** Would anyone 'in the know' care to fix the remaining problems which I could not? The other changes it needs are as follows: the second and fourth boards need to be mirror images of the others; the light pieces need to be moved to the bottom of the first and second boards; the dark pieces need to go to the top of the fourth and fifth; I changed the labels, but they ought to be put back such that they are read from left to right, once each side's pieces are moved appropriately; and, I need to be told not to write such long comments! Say, is it even possible to alternate the square colors of these side-by-side boards? Me, I dunno!

J. Fisher wrote on Wed, Jun 27, 2007 01:45 AM UTC:
It appears that I misstated my prior comment. I was simply suggesting a sort of 'Capablanca Raumschach' that would be applicable to any variant of the game. The reference to draws is mere speculation that their frequency might decrease slightly in the standard game with the addition of another two more mobile, powerful pieces.

Larry Smith wrote on Sun, Jun 17, 2007 07:20 PM UTC:
Check out Emperor Raumschach.

It is a variant of mine which attempts to answer several of the obstacles of Raumschach.

The Emperor piece guarantees a checkmate position. While the Herald(Unicorn+Knight or Unicorn+Hippogriff or Unicorn+Wyvern) frees up the simple Unicorn from its triagonal pattern.

There's a Zillions implementation for those who wish to evaluate it themselves.

J. Fisher wrote on Sat, Jun 16, 2007 05:39 PM UTC:
One way to avoid the drawish nature of the game and the weakness of the Unicorn would be to replace one with the Chancellor (Rook+Knight+Unicorn), and the Archbishop (Bishop+Knight+Unicorn). It seems that it would still be necessary to have a Queen for checkmate.

David Paulowich wrote on Thu, Jun 7, 2007 01:37 AM UTC:Good ★★★★

Regarding Charles Gilman's [2003-05-25] comment, Jim Aikin called the (Bishop + Unicorn) piece a Wizard in his 2001 variant Five Up.

I consider the (Ferz + Unicorn) piece to be another interesting idea. First reference I can find to this piece: November 4, 2001, david moeser made posts #976 and #977 in Yahoo chessvariants, suggesting the Unicorn in Raumschach be replaced by a Ferzicorn.


Abdul-Rahman Sibahi wrote on Thu, Dec 28, 2006 10:08 PM UTC:
I believe it is possible. Not sure about the exact statistics though, but the bishops are very powerful. The problem in the Wikipedia article is a checkmate of a lone king.

Mark J. Reed wrote on Thu, Dec 28, 2006 07:25 PM UTC:Good ★★★★
So is it possible to win this game without a Queen? I've tried all sorts of combinations against a bare king and it's just so dang mobile...

Anonymous wrote on Mon, Dec 25, 2006 09:59 PM UTC:
The unicorn's weakness is certainly a problem, but I think there is a way to solve it. It appears that this problem affects any regular Euclidian field, and there is no way to solve it by altering the piece. It seems to me that any basic pieces such as the rook, bishop, and unicorn should have a 1:1 board coverage ratio. I have found that this is achievable if you use the Riemannian definition of a plane, which states that it is essentially a sphere (not including its interior). The only problem with this is that to accurately portray a third dimension in this space, you must organize spherical boards in a circle and define two corresponding points on adjacent spheres as being adjacent to each other. This is fine technically, but would probably only be practical in a computer program (not sure if it could even be done with Zillions) and could be somewhat hard to visualize.

Abdul-Rahman Sibahi wrote on Fri, Oct 6, 2006 08:55 PM UTC:
I don't understand where the pawn promotes. As I understand the text, a white pawn promotes when it reaches the 8th rank, the furthest Vertical Plane away from the army, making promotion all too easy. As I think it should be, a white pawn should promote when it reaches the row E8 (the row where black's king starts.) So, which is it ?

Anonymous wrote on Sun, Sep 24, 2006 05:22 PM UTC:
According to Tim Sole's book 'The Ticket to Heaven', Dawson's column in Chess Amateur gave rules for a four-dimensional chess variant. Can anyone confirm this? What are the rules?

Matthew Paul wrote on Mon, Oct 4, 2004 10:45 AM UTC:Good ★★★★
The Unicorn probably deserves a piecelopedia page, as it covers a fundamental direction in 3D. Although it might not be powerful on it's own, it's direction of movement (the so-called 'triagonal') can be used in combination with other pieces.

Charles Gilman wrote on Sun, May 25, 2003 06:56 AM UTC:
Further to my previous comments, I have devised two variants compensating
for Knights and Pawns being overstrengthened relative to Rooks and
Bishops, and eliminating square-colour imbalances.
	Millstone uses a wraparound board, inspired by an add-on to Jim Aikin's
Five Up (under F, not 5, in the 3-d index) but even more effective alone.
Horizontal blocking of Rooks would be reduced and unblocked Bishops and
Unicorns would always have access to 24 and 16 other squares respectively.
To prove the end of colourbinding, a Bishop or Unicorn could reach an
orthogonally adjacent square in two moves - one two cells forward and one
two cells back, but the same way sideways.
	Haremschach arises from observing that the Raumschach King and Queen can
move triagonally - an Emperor and Empress in my terminology - and there is
no combination of two plain linepieces. There could be a version in which
all linepieces are combined - two Queens in the 2d sense (Rook+Bishop),
two Duchesses (Rook+Unicorn), and two Governors (Bishop+Unicorn). Pieces
with a Rook move are clearly not colourbound but nor are Governors:
consider a Unicorn move one step forward followed by a Bishop move one
step back!

Charles Gilman wrote on Sun, Feb 16, 2003 11:18 AM UTC:
While its straight-sided nature makes this game far better than the Star Trek one, the uneven numbers of squares are a problem, as is having only two unicorns. At least in 2-d chess odd-by-odd only gives a discrepancy of one square. Also, note that any unicorn can go to squares of both bishop colours and any bishop to those of all four unicorn colours. For a more symmetric solution, using only 3 more squares than Raumschach, see 4x4x8 by Alberto Monteiro (last before A in the 3-d index at time of writing) and my comments on it.

Kaneda wrote on Tue, Aug 6, 2002 04:10 PM UTC:Good ★★★★
I have always liked the idea of using the unicorn as a knight with an added dimension of movement. it's how i first imagined he would move instead of as a bishop with an added dimension. when my friends and i play, we use it this way because we find that there aren't very many good strategies that the unicorn can implement moving as a bishop. as a knight, we allow it to move in all three dimensions, one space in two and two spaces in one, ie. foward once, left once, up twice, or back one, right twice and up once. there are many combinations and it is much more difficut to determine where it will end up allowing surprise attacks to the uncautious. i haven't sat down and analysed any potential problems using the piece this way, nor have my friend and i encountered any. as for the king, we found it becomes easier to check mate if you cut out 8 of his moves, those eight being where he moves in 3d diaganols. this is just my input of minor tweaks to an otherwise great impemintation of 3d chess. the most fun one i've played as a matter of fact.

Fearless wrote on Thu, Aug 1, 2002 11:49 PM UTC:Good ★★★★
I like the setup, it's the most strait-forward, simple version of 3D chess that I've seen. However, there is a problem. The way the unicorn currently is, you need to have four of them for the same reason that you need 2 bishops in standard chess. Upon further investigating, you will find that each unicorn can only reach 30 squares (60, total) at any point in the game. That leaves 65 squares that they can never reach. As for using 4 color squares, that would be a good idea if you used 2 pairs of closely related colors, e.g. blue and green instead of black and clear and gray instead of white. This way, you can still see the bishop's diagonals. There should be 30 squares of 3 of the colors and 35 of the color that's on the corners of boards A,C, and E. Also, any given 2x2 square from any board should have all four colors (trust me, I've worked it out). As far as the king having too many moves, all the other pieces have added moves, too. Plus, there's more pieces anyway, so checkmating the king shouldn't be THAT hard. But other than the unicorn problem, it looks like a pretty good game.

Jim Aikin wrote on Mon, May 14, 2001 12:00 AM UTC:Excellent ★★★★★
Raumschach is elegant in design (a good thing!) but not quite as good as it could be. The unicorn is far too weak to be a useful piece, and the king is so mobile that he is bound to be difficult to checkmate. I'm currently (5/15/01) working on these problems, and hope to have my new version ready for posting before too long. --Jim Aikin ([email protected])

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