Um, it's late, but I seem to remember working out a lottery system similar to the one mentioned above some time ago. I'll try and explain what it was.
It involved about 65 or so lines I think and the way the numbers were done you got every combination of 2 numbers. [I think that's 49*48/2 combinations of two: 1,176. Each line of 6 numbers has 18 different 2 number combinations I think so you need 66 lines (65 1/3) if you get the 'pattern' right.]
Now, this seemed to raise your overall odds of getting 3 numbers when compared to one random ticket times 66. I can't remember how I 'proved it' to myself, but if you're objective was to raise your chances of getting at least £10 it seemed to work.
But, here's the thing, I think it actually lowered your chance of getting a bigger prize. And when I wroked out the estimated loss over time, it was close enough for me to suspect this was due to the extra 2/3 of a line, which I hadn't included in my calculations.
Also it definately improved your chances of getting at least £10 (but not your overall esimated loss over time) than if you just bought 66 random lines in one single draw. This was because in random lines you will have some numbers far more frequently than others, so on occation you will get clusters of wins in the same batch. With the system you just win less more frequently.
Please pick this apart if you're education was more recent than mine ... I would be glad to be proved wrong. And apologies if it makes no sense at all.