Recent activity

2026-09-17 15:02 David Renshaw extended {0, 3, 6, 7, 8, 13} — length 1134 (was 62)
2026-09-09 14:37 David Renshaw commented on length 1559 over {0, 1, 2, 3, 4, 5, 7}
Start from word 482, a 7031-letter word over {0,...,8}. Compress both axes of its centered prefix-sum graph to 1300 letters and recenter at mean 7/2. Round down and use dynamic programming to project to the exact alphabet {0,1,2,3,4,5,7} within the smallest uniform prefix-sum ban…
2026-09-09 14:37 David Renshaw extended {0, 1, 2, 3, 4, 5, 7} — length 1559 (was 1102)
2026-09-09 14:21 David Renshaw commented on length 2718 over {0, 1, 2, 3, 4, 5, 6, 7}
Start with word 473, the 2458-letter record on {0,...,7}. Stretch both axes of its centered prefix-sum graph to 2704 letters, recenter at mean 7/2, round down, and project to increments 0..7 (minimum uniform band radius 0). Weighted prefix-coordinate repair with seed 70100 leaves…
2026-09-09 14:21 David Renshaw extended {0, 1, 2, 3, 4, 5, 6, 7} — length 2718 (was 2458)
2026-09-09 03:24 David Renshaw commented on length 20009 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
Start from word 483, the 40030-letter word on {0,...,10}. Compress both axes of its centered prefix-sum graph to 20000 letters, recenter at mean 9/2, and round down. The resulting increments already lie in 0..9, so no additional projection is needed. Apply weighted prefix-coordin…
2026-09-09 03:24 David Renshaw extended {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} — length 20009 (was 6327)
2026-09-09 02:53 David Renshaw commented on length 100000 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
Transfer from word 489, the 100000-letter word on {0,...,12}. Using zero-based positions, replace these entries with the indicated values: 0 -> 13, 1 -> 14, 12 -> 10, 13 -> 13, 14 -> 4, 42 -> 8, 43 -> 4, 53 -> 9, 54 -> 11, 63 -> 10, 64 -> 0, 72 -> 4, 73 -> 0, 210 -> 0, 211 -> 6, …
2026-09-09 02:53 David Renshaw extended {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14} — length 100000 (was 24930)
2026-09-09 02:52 David Renshaw commented on length 100000 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
Transfer from word 489, the 100000-letter word on {0,...,12}. Using zero-based positions, replace these entries with the indicated values: 0 -> 13, 2 -> 9, 3 -> 1, 12 -> 7, 13 -> 13, 23 -> 5, 24 -> 10, 240 -> 10, 241 -> 6. All other entries remain unchanged. The transfer uses exa…
2026-09-09 02:52 David Renshaw extended {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13} — length 100000 (was 12187)
2026-09-09 02:48 David Renshaw commented on length 100000 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
Start from word 483, the 40030-letter word on {0,...,10}. Stretch its centered prefix-sum graph to 50000 letters, recenter at mean 5, round down, and apply weighted prefix-coordinate repair (seed 110904) to obtain a valid word A on {0,...,11}. Form A followed by 11 minus reverse(…
2026-09-09 02:48 David Renshaw extended {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} — length 100000 (was 25308)
2026-09-09 02:39 David Renshaw commented on length 85014 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
Start from word 483, the 40030-letter word on {0,...,10}. Stretch both axes of its prefix-sum graph to 75000 letters, subtract its mean line, amplify the centered deviations by 11/10, recenter at mean 11/2, and round down. Project within a uniform radius-one band to increments in…
2026-09-09 02:39 David Renshaw extended {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} — length 85014 (was 9102)
2026-09-09 02:17 David Renshaw commented on length 100000 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
Transferred from word 480, the 100000-letter {0,...,17} word. Spliced the letters 18, 19 and 20 into 51 random positions (17 each), each time lowering the following letter by the same amount so only one prefix sum changes per splice, and locked those positions. The 273 resulting …
2026-09-09 02:17 David Renshaw extended {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} — length 100000 (was 29320)
2026-09-09 02:16 David Renshaw commented on length 100000 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}
Transferred from word 480, the 100000-letter {0,...,17} word. Spliced the letters 18 and 19 into 50 random positions (25 each), each time lowering the following letter by the same amount so only one prefix sum changes per splice, and locked those positions. The 232 resulting addi…
2026-09-09 02:16 David Renshaw extended {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19} — length 100000 (was 24920)
2026-09-09 02:16 David Renshaw commented on length 100000 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18}
Transferred from word 480, the 100000-letter {0,...,17} word. Spliced the letter 18 into 50 random positions, each time lowering the following letter by the same amount so only one prefix sum changes per splice, and locked those positions. The 203 resulting additive squares were …
2026-09-09 02:16 David Renshaw extended {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18} — length 100000 (was 22587)
2026-09-09 02:15 David Renshaw commented on length 100000 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}
Transferred from word 481, the 100000-letter {0,...,15} word. Spliced the letter 16 into 50 random positions, each time lowering the following letter by the same amount so that only one prefix sum changes per splice; those 50 positions were locked. The 215 resulting additive squa…
2026-09-09 02:15 David Renshaw extended {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16} — length 100000 (was 20515)
2026-09-09 01:34 David Renshaw commented on length 40030 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Start from word 482, the 7031-letter word on {0,...,8}. Scale both axes of its prefix-sum graph to 15790 letters, subtract its mean line, recenter at mean 5, and round down. Weighted prefix-coordinate repair (seed 100007) yields a valid 15790-letter word. Reverse it, stretch the …
2026-09-09 01:34 David Renshaw extended {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} — length 40030 (was 6316)
2026-09-09 01:04 David Renshaw commented on length 7031 over {0, 1, 2, 3, 4, 5, 6, 7, 8}
Start from word 408, the 9102-letter word on {0,...,11}. Scale both axes of its prefix-sum graph by 6778/9102, amplify departures from its mean line by 6/5, recenter at mean 4, round down, and project to increments 0..8 in a minimum uniform band of radius 6. Apply weighted prefix…
2026-09-09 01:04 David Renshaw extended {0, 1, 2, 3, 4, 5, 6, 7, 8} — length 7031 (was 3389)
2026-09-09 00:31 David Renshaw commented on length 100000 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Start from word 476, the 24930-letter {0,...,14} word A. Form A C(A) A C(A) ... with C(x)=15-x, take 80000 letters, and repair additive squares by weighted search over integer prefix sums. Scale both axes of the prefix-sum graph by 90000/80000, recenter at mean 7.5, round down, p…
2026-09-09 00:31 David Renshaw extended {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} — length 100000 (was 19201)
2026-09-08 23:56 David Renshaw commented on length 100000 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17}
Let A be the 24930-letter {0,...,14} record, word 476, and C(A) replace each letter x by 17-x. Start with the first 100000 letters of A C(A) A C(A) ... . Three rounds of weighted conflict repair over integer prefix sums, preserving increments 0 through 17, produce this word. Seed…