A 19-ticket wheel (guarantees a 2-match)

The following is a 19-ticket wheel for the range [1..49] and is courtesy of Stefan Vandevelde <webmaster@lottotrix.com>. Any 6 numbers from [1..49] will intersect at least one of these tickets in at least two numbers. It is the current 2-match record holder in the Wheeling Challenge and has been verified by software obtainable from that challenge page. The Lottery Perms page has can now generate 19 tickets using the wheel below as an index into 49 random numbers.

Ticket   1 :  1  2  3  4  5  6
Ticket   2 :  1  2  7  8  9 10
Ticket   3 :  1  2 11 12 13 14
Ticket   4 :  3  4  7  8 13 14
Ticket   5 :  3  4  9 10 11 12
Ticket   6 :  5  6  7  8 11 12
Ticket   7 :  5  6  9 10 13 14
Ticket   8 : 15 16 17 18 19 20
Ticket   9 : 15 16 21 22 23 24
Ticket  10 : 15 16 25 26 27 28
Ticket  11 : 17 18 21 22 27 28
Ticket  12 : 17 18 23 24 25 26
Ticket  13 : 19 20 21 22 25 26
Ticket  14 : 19 20 23 24 27 28
Ticket  15 : 29 30 31 32 33 34
Ticket  16 : 35 36 37 38 39 40
Ticket  17 : 41 42 43 44 45 46
Ticket  18 : 41 42 43 47 48 49
Ticket  19 : 44 45 46 47 48 49

A 19-ticket wheel (guarantees a 2-match)

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