http://www.ericharshbarger.org/wiki/ 2026-11-07T11:55:25+00:00 http://www.ericharshbarger.org/wiki/ http://www.ericharshbarger.org/wiki/lib/tpl/dokuwiki/images/favicon.ico text/html 2026-10-30T18:14:00+00:00 paulmeyer (paulmeyer@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?id=significant_solutions&rev=1793384040&do=diff Significant Solutions Below is a (more or less) chronological listing of some of the most important Go First Dice sets that have been discovered and brief explanations about their significance. 3d6 acbbacbccaabacbbac Discovered by Robert Ford (on 10 August 2010). May not have been the first such set; Eric Harshbarger remembers hearsay that a three player set had been sold previously text/html 2026-10-30T18:08:26+00:00 paulmeyer (paulmeyer@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?image=6d120.png&ns=&rev=1793383706&tab_details=history&mediado=diff&do=media <img src="http://www.ericharshbarger.org/wiki/lib/exe/fetch.php?w=500&h=311&t=1793383706&amp;tok=a0e387&amp;media=6d120.png" alt="6d120.png" /> text/html 2026-10-15T18:02:30+00:00 paulmeyer (paulmeyer@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?id=d840_d1440_6d5040&rev=1792087350&do=diff This page demonstrates a permutation-fair d840 + d1440 + 6d5040 configuration of Go First Dice, found by Paul Meyer on Oct 15, 2026. With an LCM of 10080, this solution can be scaled to a homogeneous 8d10080. hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffab… text/html 2026-10-15T18:00:18+00:00 paulmeyer (paulmeyer@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?id=records&rev=1792087218&do=diff 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 (all dice same size) text/html 2026-10-15T14:27:40+00:00 paulmeyer (paulmeyer@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?id=6d120&rev=1792074460&do=diff This page demonstrates a permutation-fair 6d120 configuration of Go First Dice, discovered by Paul Meyer on Oct 15, 2026. efefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbacc… text/html 2026-10-04T13:58:02+00:00 harshec (harshec@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?id=inhomogeneous_solutions&rev=1791122282&do=diff 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 text/html 2026-09-27T02:14:17+00:00 paulmeyer (paulmeyer@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?id=d8400_d9072_d9600_d18900_d28800_4d34560&rev=1790475257&do=diff This page demonstrates a permutation-fair d8400 + d9072 + d9600 + d18900 + d28800 + 4d34560 configuration of Go First Dice, found by Paul Meyer on Sept 26, 2026. iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhgggggggggggfeabcddcbaeecbaddabcdb… text/html 2026-09-27T02:12:47+00:00 paulmeyer (paulmeyer@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?id=d8400_d9072_d10800_4d17280_d28800_d50400&rev=1790475167&do=diff This page demonstrates a permutation-fair d8400 + d9072 + d10800 + 4d17280 + d28800 + d50400 configuration of Go First Dice, found by Paul Meyer on Sept 26, 2026. iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhgggggggggggggggggggggggggggggggg… text/html 2026-09-27T02:11:57+00:00 paulmeyer (paulmeyer@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?id=d840_d960_d1890_d2880_4d3456&rev=1790475117&do=diff This page demonstrates a permutation-fair d840 + d960 + d1890 + d2880 + 4d3456 configuration of Go First Dice, found by Paul Meyer on Sept 26, 2026. hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhgggggggggggfeabcddcbaeecbaddabcdbaccabdeeedbaccabdecbaddabceeeabcddcbafffffecbaddabceedbaccabdabcddcbaeeeabcddcbaedbaccabdeeecbaddabcfedbaccabdeeabcddcbacbaddabceeecbaddabceabcddcbaeeedbaccabdffffffdbaccabdeeeabcddcbaecbaddabceeecbaddabcabcddcbaeedbaccabdefcbaddabceeedbaccabdeabcddcbaeeeabcddcbadbaccabdeecba… text/html 2026-09-27T02:11:21+00:00 paulmeyer (paulmeyer@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?id=d840_d1080_4d1728_d2880_d5040&rev=1790475081&do=diff This page demonstrates a permutation-fair d840 + d1080 + 4d1728 + d2880 + d5040 configuration of Go First Dice, found by Paul Meyer on Sept 26, 2026. hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhgggggggggggggggggggggggggggggggggggggggggffeabcddcbaeeeeecbaddabcedbaccabdeeeeeedbaccabdecbaddabceeeeeabcddcbaeffffffffffffeabcddcbaeeeeecbaddabcedbaccabdeeeeeedbaccabdecbaddabceeeeeabcddcbaeffeabcddcbaeeeeecbaddabcedbaccabdeeeeeedbaccabdecbaddabceeeeeabcddcbaeffffffffffffeabcddcbaeeeeecbaddabcedbaccabdeeee… text/html 2026-09-27T02:10:20+00:00 paulmeyer (paulmeyer@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?id=d120_4d432_d720_d840&rev=1790475020&do=diff This page demonstrates a permutation-fair d120 + 4d432 + d720 + d840 configuration of Go First Dice, found by Paul Meyer on Sept 26, 2026. gggggggggggggggggggggggggggggggggggggggggfeabcddcbaeeeeecbaddabcedbaccabdeeeeeedbaccabdecbaddabceeeeeabcddcbaefffffecbaddabceeeeedbaccabdeabcddcbaeeeeeeabcddcbaedbaccabdeeeeecbaddabcefedbaccabdeeeeeabcddcbaecbaddabceeeeeecbaddabceabcddcbaeeeeedbaccabdeffffffedbaccabdeeeeeabcddcbaecbaddabceeeeeecbaddabceabcddcbaeeeeedbaccabdefecbaddabceeeeedbaccabdeabcddcbaee… text/html 2026-09-27T02:09:51+00:00 paulmeyer (paulmeyer@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?id=d20_4d72_d120&rev=1790474991&do=diff This page demonstrates a permutation-fair d20 + 4d72 + d120 configuration of Go First Dice, found by Paul Meyer on Sept 26, 2026. feabcddcbaeeeeecbaddabcedbaccabdeeeeeedbaccabdecbaddabceeeeeabcddcbaefffffecbaddabceeeeedbaccabdeabcddcbaeeeeeeabcddcbaedbaccabdeeeeecbaddabcefedbaccabdeeeeeabcddcbaecbaddabceeeeeecbaddabceabcddcbaeeeeedbaccabdeffffffedbaccabdeeeeeabcddcbaecbaddabceeeeeecbaddabceabcddcbaeeeeedbaccabdefecbaddabceeeeedbaccabdeabcddcbaeeeeeeabcddcbaedbaccabdeeeeecbaddabcefffffeabcddcbae… text/html 2026-09-27T02:04:44+00:00 paulmeyer (paulmeyer@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?id=4d48_d20&rev=1790474684&do=diff This page demonstrates a permutation-fair d20 + 4d48 configuration of Go First Dice, found by Paul Meyer on Sept 26, 2026. abccbaddddabccbaeeeeabccbaddddabccbaddbccabaabaccbddedcabbacddbaccabdedbaccabddcabbacdeeeeedbaccabddcabbacdedcabbacddbaccabdabccbaddddabccbaabccbaddddabccbaeeeeeabccbaddddabccbaeabccbaddddabccbaeddbccabaabaccbdde text/html 2026-09-26T17:13:07+00:00 paulmeyer (paulmeyer@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?id=d7200_d8400_d9072_d25200_5d64800&rev=1790442787&do=diff This page demonstrates a permutation-fair d7200 + d8400 + d9072 + d25200 + 5d64800 configuration of Go First Dice, found by Paul Meyer on Sept 26, 2026. With an LCM of 453600, this solution can be scaled to a homogeneous 9d453600. iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhh… text/html 2026-09-26T16:46:21+00:00 paulmeyer (paulmeyer@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?id=d840_d2160_d3024_d5040_4d15120&rev=1790441181&do=diff This page demonstrates a permutation-fair d840 + d1080 + d1680 + 5d15120 configuration of Go First Dice, found by Paul Meyer on Sept 26, 2026. With an LCM of 15120, this solution can be scaled to a homogeneous 8d15120. hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhfffdabccbadcabddbacbacddcabfffefffbacddcabcabddbacdabccbadffffeffdabccbadcabddbacbacddcabefffffdabccbadcabddbacbacddcabffffbacddcabcabddbacdabccbadfffffffffffffbacddcabcabddbacdabccbadffefbacddcabcabddbacdabccbadfffffebacddcabcabddbacdabcc… text/html 2026-09-26T16:35:50+00:00 paulmeyer (paulmeyer@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?id=d360_d504_d840_4d2520&rev=1790440550&do=diff This page demonstrates a permutation-fair d360 + d504 + d840 + 4d2520 configuration of Go First Dice, found by Paul Meyer on Sept 26, 2026. With an LCM of 2520, this solution can be scaled to a homogeneous 7d2520. gggggggggggggggggggggggggggggggggggggggggfeffbacddcabcabddbacbacddcabdabccbadcabddbacdabccbaddabccbadeedabccbadcabddbacbacddcabcabddbacdabccbadbacddcabdabccbadfeffecabddbacbacddcabcabddbacbacddcabbacddcabcabddbacdabccbadefefcabddbacbacddcabbacddcabbacddcabdabccbadcabddbaccabddbacfffef… text/html 2023-09-24T18:30:16+00:00 carl (carl@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?image=gofirstdice_5d60.png&ns=&rev=1695580216&tab_details=history&mediado=diff&do=media <img src="http://www.ericharshbarger.org/wiki/lib/exe/fetch.php?w=500&h=209&t=1695580216&amp;tok=50edc1&amp;media=gofirstdice_5d60.png" alt="gofirstdice_5d60.png" /> text/html 2023-09-24T18:24:49+00:00 carl (carl@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?image=flyinghorseduck_5d120wcase.png&ns=&rev=1695579889&tab_details=history&mediado=diff&do=media <img src="http://www.ericharshbarger.org/wiki/lib/exe/fetch.php?w=500&h=500&t=1695579889&amp;tok=2b7531&amp;media=flyinghorseduck_5d120wcase.png" alt="flyinghorseduck_5d120wcase.png" /> text/html 2023-09-24T18:05:49+00:00 carl (carl@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?image=flyinghorseduck_5d120.png&ns=&rev=1695578749&tab_details=history&mediado=diff&do=media <img src="http://www.ericharshbarger.org/wiki/lib/exe/fetch.php?w=500&h=500&t=1695578749&amp;tok=9e4daf&amp;media=flyinghorseduck_5d120.png" alt="flyinghorseduck_5d120.png" /> text/html 2023-04-18T16:47:14+00:00 harshec (harshec@undisclosed.example.com) http://www.ericharshbarger.org/wiki/doku.php?image=wiki%3Abram-set.jpg&ns=wiki&rev=1681836434&tab_details=history&mediado=diff&do=media <img src="http://www.ericharshbarger.org/wiki/lib/exe/fetch.php?w=500&h=375&t=1681836434&amp;tok=1bf49b&amp;media=wiki:bram-set.jpg" alt="wiki:bram-set.jpg" />