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records [2026/09/09 15:40]
paulmeyer New record for 9-player LCM |
records [2026/09/27 08:53] (current)
harshec |
| Here is a chart summarizing the best/smallest sets known for various player counts. Entries <html><font color=red><b>in red</b></font></html> are known to be the best (lowest) possible values achievable (generally through exhaustive computer search). | Here is a chart summarizing the best/smallest sets known for various player counts. Entries <html><font color=red><b>in red</b></font></html> are known to be the best (lowest) possible values achievable (generally through exhaustive computer search). |
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| ^ Players ^ Smallest LCM ^ Fewest Total Sides ^ Smallest Largest Die ^ Fewest Sides ("Nice"* Set) ^ | ^ Players ^ Smallest LCM (all dice same size)^ Fewest Total Sides ^ Smallest Largest Die ^ Fewest Sides ("Nice"* Set) ^ |
| | 2 | <html><font color=red><b>2</b></font></html> (2d2) | <html><font color=red><b>3</b></font></html> (aba) | <html><font color=red><b>2</b></font></html> (aba) |<html><font color=red><b>8</b></font></html> (2d4) | | | 2 | <html><font color=red><b>2</b></font></html> (2d2) | <html><font color=red><b>3</b></font></html> (aba) | <html><font color=red><b>2</b></font></html> (aba) |<html><font color=red><b>8</b></font></html> (2d4) | |
| | 3 | <html><font color=red><b>6</b></font></html> (3d6)\\ R. Ford | <html><font color=red><b>12</b></font></html> (d2+d4+d6) | <html><font color=red><b>6</b></font></html> (various) |<html><font color=red><b>14</b></font></html> (2d4+d6)| | | 3 | <html><font color=red><b>6</b></font></html> (3d6)\\ R. Ford | <html><font color=red><b>12</b></font></html> (d2+d4+d6) | <html><font color=red><b>6</b></font></html> (various) |<html><font color=red><b>14</b></font></html> (2d4+d6)| |
| | 4 | <html><font color=red><b>12</b></font></html> (4d12)\\ R. Ford| <html><font color=red><b>30</b></font></html> (d4+d6+d8+d12)\\ E. Harshbarger| <html><font color=red><b>9</b></font></html> (d6+2d8+d9)\\ E. Harshbarger|<html><font color=red><b>30</b></font></html> (d4+d6+d8+d12)| | | 4 | <html><font color=red><b>12</b></font></html> (4d12)\\ R. Ford| <html><font color=red><b>30</b></font></html> (d4+d6+d8+d12)\\ E. Harshbarger| <html><font color=red><b>9</b></font></html> (d6+2d8+d9)\\ E. Harshbarger|<html><font color=red><b>30</b></font></html> (d4+d6+d8+d12)| |
| | 5 | **60** ([[5d60|5d60]])\\ P. Meyer | **164** ([[4d36_d20|d20+4d36]])\\ B. Cohen | **36** ([[4d36_d20|d20+4d36]])\\ B. Cohen | **222** ([[4d48_d30|d30+4d48]])\\ P. Meyer | | | 5 | **60** ([[5d60|5d60]])\\ P. Meyer | **164** ([[4d36_d20|d20+4d36]])\\ B. Cohen | **36** ([[4d36_d20|d20+4d36]])\\ B. Cohen | **212** ([[4d48_d20|d20+4d48]])\\ P. Meyer | |
| | 6 | **360** (d20+5d360, d36+5d360, [[d20_d120_4d360|d20+d120+4d360]])\\ M. Purcell | **746** (d80+d90+4d144)\\ E. Harshbarger| **144** (d80+d90+4d144)\\ E. Harshbarger| ? | | | 6 | **180** ([[d20_5d180|d20+5d180]])\\ P. Meyer | **428** ([[d20_4d72_d120|d20+4d72+d120]])\\ P. Meyer | **120** ([[d20_4d72_d120|d20+4d72+d120]])\\ P. Meyer | ? | |
| | 7 | **10080** ([[7d10080|7d10080]])\\ P. Meyer | **5316** (d480+d540+d840+4d864)\\ E. Harshbarger| **864** (d480+d540+d840+4d864)\\ E. Harshbarger| <html><font color=red>Impossible</font></html> | | | 7 | **2520** ([[d360_d504_d840_4d2520|d360 + d504 + d840 + 4d2520]])\\ P. Meyer | **3408** ([[d120_4d432_d720_d840|d120 + 4d432 + d720 + d840]])\\ P. Meyer | **840** ([[d120_4d432_d720_d840|d120 + 4d432 + d720 + d840]])\\ P. Meyer | <html><font color=red>Impossible</font></html> | |
| | 8 | **60480** ([[d840_7d60480|d840+7d60480]])\\ P. Meyer | **32736** (d840+d2880+d3240+d5040+4d5184)\\ E. Harshbarger/B. Hearn| **5184** (d840+d2880+d3240+d5040+4d5184)\\ E. Harshbarger/B. Hearn| <html><font color=red>Impossible</font></html> | | | 8 | **15120** ([[d840_d2160_d3024_d5040_4d15120|d840 + d2160 + d3024 + d5040 + 4d15120]])\\ P. Meyer | **16752** ([[d840_d1080_4d1728_d2880_d5040|d840 + d1080 + 4d1728 + d2880 + d5040]])\\ P. Meyer | **3456** ([[d840_d960_d1890_d2880_4d3456|d840 + d960 + d1890 + d2880 + 4d3456]])\\ P. Meyer | <html><font color=red>Impossible</font></html> | |
| | 9 | **1814400** ([[d8400_d9072_7d604800|d8400 + d9072 + 7d604800]])\\ P. Meyer | **3844224** (d7560 + d25920 + d29160 + d45360 + 4d46656 + d89600)\\ B. Hearn| **89600** (d7560 + d25920 + d29160 + d45360 + 4d46656 + d89600)\\ B. Hearn| <html><font color=red>Impossible</font></html> | | | 9 | **453600** ([[d7200_d8400_d9072_d25200_5d64800|d7200 + d8400 + d9072 + d25200 + 5d64800]])\\ P. Meyer | **176592** ([[d8400_d9072_d10800_4d17280_d28800_d50400|d8400 + d9072 + d10800 + 4d17280 + d28800 + d50400]])\\ P. Meyer | **34560** ([[d8400_d9072_d9600_d18900_d28800_4d34560|d8400 + d9072 + d9600 + d18900 + d28800 + 4d34560]])\\ P. Meyer | <html><font color=red>Impossible</font></html> | |
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| * A "nice" set comprises dice that are all isohedral shapes that are not lenses or rolling logs ("nice" is definitely subjective, since 2//n//-lens-shaped dice with small //n// values are definitely functional and pleasing enough for some folks' tastes). Also, a d2 (a coin) is not considered "nice", but that is purely the opinion of this author (Eric). "Nice" side counts, therefore, are the following: 4, 6, 8, 12, 20, 24, 30, 48, 60, and 120. | * A "nice" set comprises dice that are all isohedral shapes that are not lenses or rolling logs ("nice" is definitely subjective, since 2//n//-lens-shaped dice with small //n// values are definitely functional and pleasing enough for some folks' tastes). Also, a d2 (a coin) is not considered "nice", but that is purely the opinion of this author (Eric). "Nice" side counts, therefore, are the following: 4, 6, 8, 12, 20, 24, 30, 48, 60, and 120. |
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