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        <title>homogeneous_solutions</title>
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        <description>Solution Counts For Homogeneous Sets

These counts avoid equivalent sets where the dice are simply relabeled. In other words, these counts assume that in the string representation of a solution the first “a” appears before the first “b” which appears before the first “c”, and so on.</description>
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        <dc:date>2025-12-15T21:50:22+00:00</dc:date>
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        <title>induction_chart - Add link for the m7n6 case in the induction chart</title>
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        <description>Induction Chart
   m copies of the original n-die set    0    1    2    3    4    5    6    7    8    9    10    11    12    13    14    15    16    18    20    24    30  n0  1    1    1    1    1    1    1    1    1    1    1    1    1    1    1    1</description>
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        <title>m7n6 - Create m7n6 page for the induction chart</title>
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        <description>41+216+27+272+27+216+41 == 840</description>
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        <dc:date>2025-12-15T21:48:49+00:00</dc:date>
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        <title>d840_7d60480 - Create page for the d840+7d60480 configuration (current smallest LCM for 8 players)</title>
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        <description>This page demonstrates a go first fair d840+7d60480 configuration (with LCM of 60480), found by Paul Meyer on Dec 15, 2025.

This was constructed by concatenating the 7d10080 set 6 times, and then inducing a d840 around the repetitions.

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggffffffffffffffffffabcdeedcbadcbeebcdaaaaecbddbceecbddbceaaaadcbeebcdabcdeedcbaaadcbeebcdabcdeedcbaaecdbbdceae…</description>
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        <title>records - Add entry for Smallest LCM for 8 players</title>
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        <description>Current Records

Here is a chart summarizing the best/smallest sets known for various player counts. Entries  are known to be the best (lowest) possible values achievable (generally through exhaustive computer search).
 Players  Smallest LCM  Fewest Total Sides</description>
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        <title>7d10080 - Add page for fair 7d10080</title>
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        <description>This page demonstrates a go first fair 7d10080 configuration, found by Paul Meyer on Sept 17, 2024. This configuration was constructed as follows:

1. Repeat a fair 5d60 config 6 times to get a fair 5d360.

2. Induce a d20 around the repetitions and multiply it 18 times to get a fair 6d360.</description>
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        <title>d20_4d60 - Create page for d20+4d60 configs</title>
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        <description>abcddcbaecbaddabcabcddcbaeedbaccabddbaccabdeecbaddabcabcddcbadbaccabddbaccabdecbaddabccbaddabcecbaddabcdbaccabdeeabcddcbaecbaddabceedbaccabdabcddcbacbaddabcabcddcbaeabcddcbadbaccabdeeabcddcbadbaccabdabcddcbaecbaddabcecbaddabcedbaccabdabcddcbaedbaccabdecbaddabc</description>
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        <dc:date>2024-09-12T18:33:34+00:00</dc:date>
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        <title>d20_d120_4d360 - Create page for d20+d120+4d360 config</title>
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        <description>The following d20+d120+4d360 configuration was found by Paul Meyer after the original 6d360 record, though the LCM is not improved. It is constructed by inducing a d20 around 6 repetitions of Paul's d20+4d60 configuration.

fabcddcbaecbaddabcabcddcbaeedbaccabddbaccabdeecbaddabcabcddcbadbaccabddbaccabdecbaddabccbaddabcecbaddabcdbaccabdeeabcddcbaecbaddabceedbaccabdabcddcbacbaddabcabcddcbaeabcddcbadbaccabdeeabcddcbadbaccabdabcddcbaecbaddabcecbaddabcedbaccabdabcddcbaedbaccabdecbaddabcfffffabcddcbaec…</description>
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        <dc:date>2024-07-26T17:41:51+00:00</dc:date>
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        <title>inhomogeneous_solutions - Update results for more sets in Inhomogeneous solutions</title>
        <link>http://www.ericharshbarger.org/wiki/doku.php?id=inhomogeneous_solutions&amp;rev=1722015711&amp;do=diff</link>
        <description>Solution Counts For Inhomogeneous Sets

These are configuration counts for various inhomogeneous dice sets (as found via exhaustive computer search), either with mirror-symmetry or no such restriction (note that column-grouped and column-paired symmetry can only happen with homogeneous sets). These counts avoid equivalent sets where the dice are simply relabeled. In other words, these counts assume that, if a and b are equal sized dice, then in the string representation of a solution the first</description>
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        <dc:date>2024-05-28T13:51:45+00:00</dc:date>
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        <title>more_info</title>
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        <description>More Information

Where You Can Buy Go First Dice

	*  U.S.: The Dice Shop at MathArtFun
	*  U.K.: MathsGear
	*  ⊕: i.Materialise

Publications

	*  2012 article in The Guardian
	*  GAMES MAGAZINE, December 2012. Much like the newspaper article above, this one is very much not math-focused; it is meant to introduce the concept of Go First Dice to laypeople.</description>
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        <dc:date>2024-04-17T16:17:20+00:00</dc:date>
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        <title>m12n6 - Create m12n6 induction page</title>
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        <description>5+26+13+6+42+0+26+0+42+6+13+26+5 == 210

6+21+21+5+33+6+26+6+33+5+21+21+6 == 210

7+16+29+4+24+12+26+12+24+4+29+16+7 == 210

8+11+37+3+15+18+26+18+15+3+37+11+8 == 210

8+12+31+16+7+4+54+4+7+16+31+12+8 == 210

9+6+45+2+6+24+26+24+6+2+45+6+9 == 210</description>
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