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records [2024/01/28 21:35]
harshec |
records [2024/09/17 15:28] (current)
paulmeyer Add LCM record for 7d10080 |
| 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 ^ Smallest "Nice"* Set ^ | ^ Players ^ Smallest LCM ^ 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>2d4</b></font></html> | | | 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>2d4+d6</b></font></html> | | | 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>d4+d6+d8+d12</b></font></html> | | | 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** (d20+4d36)\\ B. Cohen | **36** (d20+4d36)\\ B. Cohen | 4d48+d30 | | | 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)\\ M. Purcell | **746** (d80+d90+4d144)\\ E. Harshbarger| **144** (d80+d90+4d144)\\ E. Harshbarger| ? | | | 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 | ? | **5316** (d480+d540+d840+4d864)\\ E. Harshbarger| **864** (d480+d540+d840+4d864)\\ E. Harshbarger| ? | | | 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> | |
| | 8 | ? | **32736** (d840+d2880+d3240+d5040+4d5184)\\ E. Harshbarger/B. Hearn| **5184** (d840+d2880+d3240+d5040+4d5184)\\ E. Harshbarger/B. Hearn| ? | | | 8 | ? | **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> | |
| | 9 | ? | **3844224** (d7560 + d25920 + d29160 + d45360 + 4d46656 + d89600)\\ B. Hearn| **89600** (d7560 + d25920 + d29160 + d45360 + 4d46656 + d89600)\\ B. Hearn| ? | | | 9 | ? | **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> | |
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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<i>n</i>-lens-shaped dice with small <i>n</i> values are definitely function and pleasing enough some some folks tastes. Also, a d2 (a coin) is not considered "nice", but that is purely the opinion of this author (Eric). | * 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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