The New Sudoku Players' Forum

[Paquita]

I have the statistics for the lateral versus the tridagon blocks for different BxB

B7B
Lateral blocks
3 3
4 326
5 957
6 2670
7 1104
8 61
9 4
11 1
Tridagon blocks
8 1
11 1
12 1
13 9
14 64
15 450
16 1422
17 1645
18 968
19 407
20 116
21 38
22 4
Stats
5,92684354272337
16,947717518533
B8B
Lateral blocks
4 260
5 934
6 2494
7 1013
8 109
9 9
10 1
Tridagon blocks
14 47
15 344
16 1311
17 1737
18 1017
19 313
20 40
21 9
22 1
23 1
Stats
5,96016597510373
16,9315352697095
B9B
Lateral blocks
2 1
3 39
4 477
5 2464
6 3480
7 1463
8 248
9 3
Tridagon blocks
14 184
15 715
16 1991
17 2159
18 1695
19 937
20 420
21 61
22 5
23 8
Stats
5,80782874617737
17,1434862385321
B10B
Lateral blocks
3 9
4 619
5 2119
6 1861
7 561
8 20
Tridagon blocks
14 4
15 166
16 656
17 1223
18 1364
19 1039
20 543
21 171
22 23
Stats
5,46367315475043
17,9385238003469
B11B
Lateral blocks
3 2
4 120
5 654
6 861
7 45
8 3
9 3
Tridagon blocks
15 79
16 401
17 711
18 356
19 101
20 34
21 6
Stats
5,50236966824645
17,0740521327014
B12B
Lateral blocks
5 115
6 551
7 351
8 28
9 2
Tridagon blocks
13 2
14 6
15 160
16 482
17 296
18 99
19 2
Stats
6,28462273161414
16,3075453677173
B13B
Lateral blocks
4 8
5 113
6 307
7 162
Tridagon blocks
14 14
15 106
16 213
17 199
18 42
19 2
20 14
Stats
6,05593220338983
16,3576271186441
B14B
Lateral blocks
4 3
5 1
6 7
7 4
Tridagon blocks
15 3
16 7
17 2
19 1
20 2
Stats
5,8
16,6666666666667

Here, the suggestion is that B10B is the most extreme. This result is according to the fact that the B10B requires the largest calculation time of all BxB. Maybe B10B is the hardest?

[denis_berthier]

.
Hi Paquita,
It's interesting to see that :
- there are many more (necessarily non-tridagon) clues in the tridagon blocks than in the lateral blocks,
- there is some slight difference depending on the BxB value, with a lowest value in the lateral blocks at B10B.

It is natural to ask the question, but I don't know if this explains the longer computation times (that you independently noticed previously) for the BxB classif at x=10 . Do you see a reason why it could explain it? Taken out of the whole puzzle context, it may make these blocks harder to solve. But the validity of such reasoning is debatable.

Did you compute the above numbers of clues for the minimals or the min-expands?
.