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Alfred Pfeiffer wrote on Tue, Jul 30, 2002 07:00 PM UTC:
Of course this variant is new, but there are already some examples 
with chess for one-dimensional boards:

1) The 'One Ring Chess' by L. L. Smith 2001, where 32 fields are
   arranged to build a closed circle, published at the Zillions page
   http://www.zillions-of-games.com/games/oneringchess.html.


2) I have a bilingual book (German and English) 

  Dr. Karl Fabel, C. E. Kemp: 'Schach ohne Grenzen - Chess unlimited'
  Walter Rau Verlag, Duesseldorf und Kempten, 1969

with the following short section about the subject (I quote from the
english part, FCR = Fairy Chess Review, TDR = Thomas Rayner Dawson):

  Boards

  We now move off the 8x8 board, it is sometime necessary!
  In 1944, as a wartime diversion, FCR had a tourney for problems
  of any kind on an one-dimensional board, that is a single line
  of squares of any lenght.  N. M. Gibbins who proposed and judged
  the tourney, expected the entry to be small.  In fact there were
  85 problems.  TDR won 1st. and 2nd. prizes with two sets of
  problems.  The themes of the first set, of 8, were 'self-
  interference, line-closing, grab, crosscheck, chain interference,
  mutual obstruction, and triangular Grimshaw interference'!  How
  did he get all this on a single line?  By using composite pieces.

  No. 1 is one of this set.  We will refer to squares simply by the
  the numbers 1, 2, ... 15, 16, starting from the bottom.  The rider
  (R for short) at 16 can be play along 16, 13, 10, 7, 4, 1, as a 
  3-rider, and along 16, 11, 6, 1, as a 5-rider.  The problem is 
  built on the fact that 16 and 1 are in both sets.  The solution is  
  1. K9 P5, 2. P12#;  1.... P12, 2. P5#.  Not 1. P5 threat 2. Rx13# 
  as black is stalemate, P13 is now pinned.  And not 1. P12 threat 
  2. Rx6#, also stalemate as P6 is now pinned.  

  These are two highly thematic tries.  The mates are discovered
  mates, there is a double battery from the rider at 16.  Two-line
  chess on a one-line board!

The position which the referred diagram No. 1 to is following;

White: K8, R16, P4, P10 (R = combined 3-rider and 5-rider, 4 pieces)
Black: K1, P2, P6, P12 (4 pieces);  Board 1 x 16, 
Mate in 2,  FCR 1944.


Regards,
Alfred Pfeiffer

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