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Ideal Racing Positions - Tables Available

Posted By: Taper_Mike
Date: Friday, 1 July 2011, at 12:48 a.m.

In Response To: Link to file (Tom Keith)


In response to some of the comments and suggestions here, I have updated my tables of Ideal Racing Positions.

Each row includes a much more readable checker position than before, and I created a spreadsheet version for those who requested one. As well, I appended a list of the positions where there is more than one ideal arrangement of checkers for a given pip count (that is, a list of "ties") at the end of the file.

Thanks to Tom Keith for publishing these tables on his site Backgammon Galore! The new link for the tables is:

http://www.bkgm.com/articles/Mannon/IdealRacingPositions/

This is a new link that supersedes the old one. From the new page, you can download either the text file or spreadsheet.

One interesting thing I noticed while preparing the spreadsheet how undesirable it is to place any checkers on the bar point in a race. It came as a surprise to me that there is only one ideal position for 15 checkers that puts a checker there. It occurs at pip count 80, and even it has only a single checker on the bar point. For *any* other pip count, the ideal racing postion leaves the bar point bare. That's a bit of information that is easy to remember, and easy to apply over the board.

Here is a sample from the new text file. You can see the famous triangle formation at pip count 70, and the 3-5-7 formation at pip count 79. 

 

Ideal Racing Positions 

 

Checkers  Pips               EPC             Rolls  01-02-03-04-05-06---07-08-09-10-11-12                     GNUBG ID                                           XGID 

      15    70   77.349895559469   9.4714157827921   0  1  2  3  4  5    0  0  0  0  0  0  2r0PAADavQ8AAA:cAkAAAAAAAAA  --ABCDE------------edcba--:0:0:1:00:0:0:3:0:8 

      15    71   78.280772180772   9.5854006751966   0  1  1  4  4  5    0  0  0  0  0  0  6r0PAADqvQ8AAA:cAkAAAAAAAAA  --AADDE------------eddaa--:0:0:1:00:0:0:3:0:8 

      15    72    79.23062628522   9.7017093410474   0  1  1  3  5  5    0  0  0  0  0  0  6r4PAADqvg8AAA:cAkAAAAAAAAA  --AACEE------------eecaa--:0:0:1:00:0:0:3:0:8 

      15    73   80.191415710057   9.8193570257212   0  1  1  3  4  6    0  0  0  0  0  0  6t4PAADq3g8AAA:cAkAAAAAAAAA  --AACDF------------fdcaa--:0:0:1:00:0:0:3:0:8 

      15    74   81.179838577727   9.9403883972727   0  0  1  4  5  5    0  0  0  0  0  0  9L4PAAD0vg8AAA:cAkAAAAAAAAA  ---ADEE------------eeda---:0:0:1:00:0:0:3:0:8 

      15    75   82.145113473614     10.0585853233   0  0  1  4  4  6    0  0  0  0  0  0  9N4PAAD03g8AAA:cAkAAAAAAAAA  ---ADDF------------fdda---:0:0:1:00:0:0:3:0:8 

      15    76   83.087400896338   10.173967456694   0  0  1  3  5  6    0  0  0  0  0  0  dN8PAAB03w8AAA:cAkAAAAAAAAA  ---ACEF------------feca---:0:0:1:00:0:0:3:0:8 

      15    77   84.105913849795   10.298683328546   0  0  1  3  4  7    0  0  0  0  0  0  dO8PAAB07w8AAA:cAkAAAAAAAAA  ---ACDG------------gdca---:0:0:1:00:0:0:3:0:8 

      15    78   85.086521067265   10.418757681706   0  0  1  2  5  7    0  0  0  0  0  0  tO8PAAC07w8AAA:cAkAAAAAAAAA  ---ABEG------------geba---:0:0:1:00:0:0:3:0:8 

      15    79   86.068948579417   10.539054928092   0  0  0  3  5  7    0  0  0  0  0  0  uO8PAAC47w8AAA:cAkAAAAAAAAA  ----CEG------------gec----:0:0:1:00:0:0:3:0:8 

      15    80   87.107481308875   10.666222201087   0  0  0  3  5  6    1  0  0  0  0  0  uO8XAAC47xcAAA:cAkAAAAAAAAA  ----CEFA----------afec----:0:0:1:00:0:0:3:0:8 

      15    81   88.098134498229   10.787526673252   0  0  0  3  5  6    0  1  0  0  0  0  uO8nAAC47ycAAA:cAkAAAAAAAAA  ----CEF-A--------a-fec----:0:0:1:00:0:0:3:0:8 

      15    82   89.095851202423   10.909696065603   0  0  0  3  4  7    0  1  0  0  0  0  uPcnAAC49ycAAA:cAkAAAAAAAAA  ----CDG-A--------a-gdc----:0:0:1:00:0:0:3:0:8 

      15    83   90.090241320575   11.031458120887   0  0  0  2  5  7    0  1  0  0  0  0  2PcnAADY9ycAAA:cAkAAAAAAAAA  ----BEG-A--------a-geb----:0:0:1:00:0:0:3:0:8 

      15    84   91.100763986752   11.155195590215   0  0  0  2  5  7    0  0  1  0  0  0  2PdHAADY90cAAA:cAkAAAAAAAAA  ----BEG--A------a--geb----:0:0:1:00:0:0:3:0:8 

      15    85   92.097602497882    11.27725744872   0  0  0  2  5  7    0  0  0  1  0  0  2PeHAADY94cAAA:cAkAAAAAAAAA  ----BEG---A----a---geb----:0:0:1:00:0:0:3:0:8












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