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7d10080 [2024/09/17 15:44]
paulmeyer Add page for fair 7d10080 |
7d10080 [2024/09/20 13:29] (current)
paulmeyer |
| The page demonstrates a go first fair **7d10080** configuration, found by Paul Meyer on Sept 17, 2024. This configuration was constructed as follows: | This page demonstrates a go first fair **7d10080** configuration, found by Paul Meyer on Sept 17, 2024. This configuration was constructed as follows: |
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| 1. Repeat a fair 5d60 config 6 times to get a fair 5d360.\\ | 1. Repeat a fair 5d60 config 6 times to get a fair 5d360.\\ |
| 3. Repeat the 6d360 config 4 times, to get a fair 6d1440.\\ | 3. Repeat the 6d360 config 4 times, to get a fair 6d1440.\\ |
| 4. [[induction_chart|Induce]] a (partially-fair) d90 around the repetitions and multiply it 16 times to get a 6-fair 7d1440.\\ | 4. [[induction_chart|Induce]] a (partially-fair) d90 around the repetitions and multiply it 16 times to get a 6-fair 7d1440.\\ |
| 5. Stack 7 permutations of the 6d1440 to make a fully-fair 7d10080. | 5. Concatenate 7 permutations of the 6d1440 to make a fully-fair 7d10080. |
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| Importantly, the partially-fair induction in step 4 creates a special symmetric form of 6-fairness in the resulting 7d1440 that guarantees that it can make a fully fair configuration with exactly 7 permutations. The resulting 7d10080 follows: | Importantly, the partially-fair induction in step 4 creates a special symmetric form of 6-fairness in the resulting 7d1440 that guarantees that it can make a fully fair configuration with exactly 7 permutations. The resulting 7d10080 follows: |
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