39,6,2,2=100%

Nicodemus

Member
Hello FRPC(*),

Can anyone (**) of you provide me with this wheel ?

Thank you in advance,
Nicodemus


(*) FRPC = Future Rich People Community
(**) stop simulating ! As we all know, the "anyone" mentionned in this kind of request means Nick Koutras, our Wise man .:agree2:
 

BushHappy

Member
Nicodemus,

Here is the best wheel I could create.

Ld(39,6,2,2)=58

1 2 12 15 16 21
1 3 5 17 19 29
1 4 10 11 36 37
1 5 11 22 23 25
1 6 8 13 31 34
1 7 9 12 17 27
1 7 10 19 20 24
1 11 14 18 21 32
1 12 23 24 30 35
1 26 28 33 38 39
2 3 5 18 28 31
2 3 6 8 27 32
2 4 9 11 24 39
2 4 17 23 31 33
2 6 19 20 24 26
2 7 10 30 32 38
2 9 13 22 25 36
2 13 14 20 29 35
2 18 23 29 34 37
3 4 5 15 35 38
3 7 22 23 26 28
3 8 13 24 37 39
3 9 13 15 29 30
3 10 11 12 20 31
3 14 25 30 34 39
3 16 21 24 33 36
4 6 9 18 30 33
4 6 14 23 25 27
4 7 13 17 21 25
4 8 12 19 25 28
4 16 20 22 32 34
4 26 27 29 30 36
5 6 7 8 35 36
5 6 10 17 20 39
5 9 14 16 19 31
5 12 13 26 32 33
5 14 24 27 28 34
5 19 21 22 30 37
6 11 15 21 28 29
6 12 16 22 37 38
7 11 19 33 34 35
7 12 16 18 29 39
7 14 15 26 31 37
8 9 20 21 23 38
8 10 14 22 29 33
8 11 16 17 26 30
8 15 17 18 22 24
9 10 15 21 26 34
9 17 28 32 35 37
10 13 16 23 27 28
10 16 18 25 26 35
11 13 18 19 27 38
12 14 17 34 36 38
15 19 23 32 36 39
15 20 25 27 33 37
18 20 28 30 31 36
21 22 27 31 35 39
24 25 29 31 32 38

Maybe some of the experts could reduce the Lines to below 58
 

Florie

Member
Here's one I found.
39=50 lines
1 2 11 32 34 37
1 3 16 17 23 28
1 4 12 14 26 29
1 6 25 27 30 31
1 7 15 20 38 39
1 9 13 18 21 36
7 14 22 24 30 33
2 3 7 8 21 24
2 4 7 9 16 33
2 4 11 13 27 35
2 5 12 15 17 25
2 6 18 19 20 23
2 10 22 26 31 39
2 14 28 30 36 38
3 4 6 10 17 36
3 14 20 27 29 32
3 5 9 30 37 39
3 11 19 21 26 33
3 12 18 31 35 38
3 13 15 19 22 34
4 5 8 18 22 23
1 8 10 19 30 32
8 20 25 33 36 37
4 19 21 24 25 39
5 6 14 15 21 35
5 7 19 29 31 36
5 8 11 16 26 38
5 10 12 13 20 24
5 27 28 33 34 39
6 7 13 26 28 37
6 9 24 29 34 38
6 12 16 22 32 36
13 16 23 29 30 39
8 13 14 17 31 34
7 10 23 32 34 35
4 11 12 21 30 34
9 10 11 14 23 25
11 22 25 28 29 35
1 6 8 33 35 39
8 9 12 19 27 28
4 9 15 28 31 32
9 17 20 26 30 35
10 15 18 29 33 37
10 16 20 21 28 31
11 17 18 24 32 39
13 23 25 32 33 38
14 16 19 24 35 37
15 23 24 26 27 36
7 16 18 25 26 34
17 21 22 27 37 38
 
LD(39,6,2,2)=55

1 2 3 4 5 6
1 7 8 9 10 11
1 12 13 14 15 16
1 12 17 18 19 20
1 13 21 22 23 24
1 25 26 27 28 29
1 30 31 32 33 34
1 35 36 37 38 39
2 3 14 17 25 30
2 4 7 18 21 35
2 7 16 24 28 33
2 8 15 19 26 31
2 9 13 21 27 36
2 10 11 12 22 37
2 10 23 27 32 38
2 13 20 29 34 39
3 4 8 23 29 36
3 5 7 21 31 37
3 7 12 26 32 39
3 10 13 18 26 33
3 11 15 28 30 35
3 11 19 24 34 38
3 16 20 24 27 31
4 5 12 15 27 34
4 8 16 20 33 38
4 9 17 24 26 37
4 10 13 19 28 38
4 10 14 22 31 39
4 11 16 25 30 32
5 8 13 17 32 35
5 9 16 18 28 39
5 10 24 29 30 35
5 11 14 20 23 26
5 19 22 25 33 36
6 7 14 19 27 35
6 8 12 24 25 39
6 9 20 22 28 32
6 10 16 17 34 36
6 11 13 18 29 31
6 12 21 26 30 38
6 15 23 25 33 37
7 13 20 30 36 37
7 15 17 22 29 38
7 18 23 25 34 38
8 14 21 28 34 37
8 18 22 27 30 37
9 12 14 29 33 35
9 13 14 25 31 38
9 15 19 23 30 39
10 15 20 21 25 35
11 17 21 27 33 39
12 17 23 28 31 36
14 15 18 24 32 36
16 19 21 29 32 37
16 22 26 34 35 36
 

BushHappy

Member
Nick,

Your LD(39,6,2,2)=55 wheel still has 8 uncovered pairs.
They are:
3 9
3 22
5 38
9 34
11 36
16 23
23 35
31 35

Using your wheel and Covermaster
LD(39,6,2,2)=57 can be created:

1 2 3 4 5 6
1 7 8 9 10 11
1 12 13 14 15 16
1 12 17 18 19 20
1 13 21 22 23 24
1 25 26 27 28 29
1 30 31 32 33 34
1 35 36 37 38 39
2 3 14 17 25 30
2 4 7 18 21 35
2 7 16 24 28 33
2 8 15 19 26 31
2 9 13 21 27 36
2 10 11 12 22 37
2 10 23 27 32 38
2 13 20 29 34 39
3 4 8 23 29 36
3 5 7 21 31 37
3 7 12 26 32 39
3 10 13 18 26 33
3 11 15 28 30 35
3 11 19 24 34 38
3 16 20 24 27 31
4 5 12 15 27 34
4 8 16 20 33 38
4 9 17 24 26 37
4 10 13 19 28 38
4 10 14 22 31 39
4 11 16 25 30 32
5 8 13 17 32 35
5 9 16 18 28 39
5 10 24 29 30 35
5 11 14 20 23 26
5 19 22 25 33 36
6 7 14 19 27 35
6 8 12 24 25 39
6 9 20 22 28 32
6 10 16 17 34 36
6 11 13 18 29 31
6 12 21 26 30 38
6 15 23 25 33 37
7 13 20 30 36 37
7 15 17 22 29 38
7 18 23 25 34 38
8 14 21 28 34 37
8 18 22 27 30 37
9 12 14 29 33 35
9 13 14 25 31 38
9 15 19 23 30 39
10 15 20 21 25 35
11 17 21 27 33 39
12 17 23 28 31 36
14 15 18 24 32 36
16 19 21 29 32 37
16 22 26 34 35 36
3 5 9 22 34 38
11 16 23 31 35 36
 
Sorry for the post with the wrong cover
but below is the correct design:

1 2 3 4 5 6
1 7 8 9 10 11
1 12 13 14 15 16
1 12 17 18 19 20
1 17 21 22 23 24
1 25 26 27 28 29
1 30 31 32 33 34
1 35 36 37 38 39
2 7 13 18 25 30
2 8 14 21 31 35
2 9 19 26 32 36
2 10 19 22 27 37
2 11 15 20 23 33
2 12 21 28 34 38
2 16 17 24 29 39
3 7 12 16 22 36
3 8 13 23 26 39
3 9 14 20 29 38
3 10 15 17 24 31
3 11 24 25 32 35
3 18 19 28 33 37
3 21 27 30 34 35
4 7 14 19 24 37
4 8 12 16 25 34
4 9 13 16 21 33
4 10 15 28 32 39
4 11 13 17 27 38
4 18 23 29 31 36
4 20 22 26 30 35
5 7 17 21 29 32
5 8 20 24 27 28
5 9 15 18 27 35
5 10 16 23 30 38
5 11 12 26 31 37
5 13 19 24 34 36
5 14 22 25 33 39
6 7 19 23 28 35
6 8 17 27 33 36
6 9 12 24 30 39
6 10 14 18 26 34
6 11 15 22 29 34
6 13 16 20 32 37
6 19 21 25 31 38
7 15 24 26 33 38
7 20 27 31 34 39
8 15 19 29 30 37
8 18 22 24 32 38
9 13 16 22 28 31
9 17 23 25 34 37
10 12 13 29 33 35
10 15 20 21 25 36
11 14 17 28 30 36
11 16 18 19 21 39
12 14 16 23 27 32
16 17 21 26 35 37
,
 

BushHappy

Member
Nick,

I used your correct design wheel and Covermaster and managed to improve some of the other covers, while still maintaining a 100% 2if2 cover:

1 2 3 14 35 39
1 3 4 11 13 16
1 4 5 15 29 39
1 6 7 8 21 33
1 6 9 21 23 32
1 6 10 17 25 26
1 6 18 19 22 36
1 7 12 20 32 37
1 7 22 27 28 31
1 23 24 30 34 38
2 3 25 31 37 38
2 4 6 14 20 33
2 5 7 10 24 36
2 5 12 17 18 21
2 8 12 26 29 30
2 9 12 15 22 34
2 11 18 23 28 37
2 12 13 14 19 28
2 15 16 27 32 36
3 4 18 24 29 32
3 5 14 22 23 33
3 6 10 15 28 38
3 7 12 13 17 27
3 8 20 25 34 36
3 9 10 11 19 30
3 11 15 21 26 31
4 5 8 19 31 34
4 7 9 17 35 38
4 9 13 26 36 37
4 10 12 23 25 27
4 14 22 26 32 38
4 21 28 30 35 36
5 6 27 30 37 39
5 8 13 16 18 38
5 9 20 24 26 28
5 11 19 25 32 35
6 7 11 13 29 34
6 12 16 24 31 35
7 14 15 18 25 30
7 16 19 23 26 39
8 9 11 14 24 27
8 10 22 29 35 37
8 13 15 20 23 35
8 17 28 32 34 39
9 10 18 20 31 39
9 16 25 28 29 33
10 13 30 31 32 33
10 14 16 21 34 37
11 12 33 36 38 39
11 16 17 20 22 30
13 21 22 24 25 39
14 17 23 29 31 36
15 17 19 24 33 37
18 26 27 33 34 35
19 20 21 27 29 38
 

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