====Current Records==== Here is a chart summarizing the best/smallest sets known for various player counts. Entries in red are known to be the best (lowest) possible values achievable (generally through exhaustive computer search). ^ Players ^ Smallest LCM ^ Fewest Total Sides ^ Smallest Largest Die ^ Fewest Sides ("Nice"* Set) ^ | 2 | 2 (2d2) | 3 (aba) | 2 (aba) |8 (2d4) | | 3 | 6 (3d6)\\ R. Ford | 12 (d2+d4+d6) | 6 (various) |14 (2d4+d6)| | 4 | 12 (4d12)\\ R. Ford| 30 (d4+d6+d8+d12)\\ E. Harshbarger| 9 (d6+2d8+d9)\\ E. Harshbarger|30 (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 | | 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| ? | | 7 | **10080** ([[7d10080|7d10080]])\\ P. Meyer | **5316** (d480+d540+d840+4d864)\\ E. Harshbarger| **864** (d480+d540+d840+4d864)\\ E. Harshbarger| Impossible | | 8 | ? | **32736** (d840+d2880+d3240+d5040+4d5184)\\ E. Harshbarger/B. Hearn| **5184** (d840+d2880+d3240+d5040+4d5184)\\ E. Harshbarger/B. Hearn| Impossible | | 9 | ? | **3844224** (d7560 + d25920 + d29160 + d45360 + 4d46656 + d89600)\\ B. Hearn| **89600** (d7560 + d25920 + d29160 + d45360 + 4d46656 + d89600)\\ B. Hearn| Impossible | * 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.