After dozens of lotto program downloads I fail to find a wheeler. All programs which boast wheels have predefined wheel databases. (Additionally I did not like the interface or understand the methedology of these programs)

After writing some versions of a lotto analyser I've begun a third verision program encompassing many aspects of number generation.

My current design consideration/worry is the processing time required to generate wheels. I feel the method I chose is acceptible and versatile but terribly slow.

Can anyone list a few programs which create wheel lists to specification without resorting to predefined tables?

Lastly, (excuse my limited knowledge of acceptible terminology) how long does it take to generate 7 games of 6 numbers with a guarantee of 4 beginning with an attempt to cover all subs sets with 4 games? (Please specify computer speed)

My 800mhz processor took 1 min 30 secs to produce the following 7 games beginning with attempting to fit all subsets into 4 games:

Generating the above 7 games knowing 7 games will be required is instantanious whereas processing all combinations/permutations for 4 games, 5 games and 6 games (and failing) took 1 minute 30 seconds.

Likewise: attempting to cover all 4 digit subsets with 6 games using a range of 1 to 8 took 1 minute 10 seconds.

I do realize that it is unusual to clock a failure but in this instance it determins the processing power more accurately in its totality.

Your post was up in the forum for 5 days without a reply, so I thought I'd try to help.

Two suggestions for software for wheeling. Both of these are Freeware. They are: (1) Covermaster, and (2) Lottery Director Free Wheeling.

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(1) Covermaster.

Covermaster generates Abbreviated wheels.

Do a Google search for Covermaster software. It's freeware, but it does require an eBay registration (strange but true). You might find it available on other sites which don't need the eBay entry. It's excellent software, and well worth a search.

... Covermaster makes 'Abbreviated' wheels of the kind you are looking for. It will give you a wheel with a guarantee (like Match-4 to Win-4). It will optimize the wheel to finish with a small set of lines.

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(2) Lottery Director Free Wheeling.

LD Free Wheeling works differently from Covermaster.

It does not generate 'Abbreviated' wheels. Instead it starts with Full wheels and reduces them to a playable size using filtering.

For example, you can reduce a 6/30 wheel (593,775 lines) down to some reasonable size using filtering. Filters include:

... Sums, Even/Odd, Low/High, Consecutives, Final Digits, Decades, Size of Line, Positional Limits, and others.

... You can also filter out repeating subsets from any game. For example, you can eliminate subsets of 4 or more numbers which have already occurred together in the last 1000 draws of a game, and also eliminate subsets of 3 or more from the last 100 draws (your choice).

... You can even eliminate repeating subsets from multiple games. For example, if you think a set of 6 numbers which has already won recently in the BC49 game is not likely to hit again soon in the Canada 6/49, you can eliminate it from your wheel.

... You can do this with up to 12 sets of ranges from a game, or from multiple games. You can include or exclude Bonus numbers, as you like.

... You can also put numbers into "Zones" so that only a range of numbers are wheeled from each zone. There are a lot of options in the software.

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Not to dwell on it. Both of the above software take different approaches to wheeling. Both of them are Freeware.

The main difference:

... Covermaster builds an Abbreviated wheel "from the bottom up", giving you a known guarantee (like 4/4).

... Free Wheeling builds a filtered wheel "from the top down", giving you the precise lines you want.

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For Covermaster, do a Google search on "Covermaster" for the links. There are several of them.

For Lottery Director Free Wheeling, it's at the LD site: http://www.ldir.com ...You'll find a tutorial there, with an example of how to generate a wheel.

Thanks for the information Joe. I have yet to register Covermaster by attaining an Ebay registration as I have located several other programs, of which, some do generate unique wheels rather than regurgitate previous data.

I located some documents on balanced incomplete block designs, Hadamard maricies, Seiner triple systems and other such theoretical explorations. It's a mind bender but has sparked some ideas which have been rattling through my mind for the past few days.

Both top down adn bottom up methods have been examined. A few additional functions for analysing a complete wheel and a complete subset of guarantees showed little except a very symetric and ordered system. One point which has a potential use is that each sucessive subset (guarantee) exhibits a pure binary incrementation on all full wheeled sets of which it is a subset.

eg: for each successive guarantee subset of 7/6/4 the corresponding parent sets which contain it are indicated by 1 in the folowing list:

1110000
1101000
1011000
0111000
0110100
0101100
0011100
and so on for 35 subsets.

How this can be incorporated into a wheel program of substantial speed is unknown at this point. I feel as if I have noticed some interesting aspect of full balanced incomplete block designs which will go down in history as "so what?"

One suggested approach would be to design a large wheel as a series of smaller "zones" of numbers.

For example, a 24-number wheel could be laid out as 2 zones of 12 -- (or, 3 zones of 8; 4 zones of 6, etc).

The zones don't need to be symmetrical -- for example, the 24 numbers could be laid out as 3 zones of 4, 6, and 14 respectively.

The zones add an extra matching requirement (of course). For example, one would not only need to match 4 numbers of the 24, but would also need to match a certain amount of them in each zone. The player's matching requirement would all depend on how you constructed the zones.

The main point is that you wind up with a much smaller (and less costly) wheel than for a corresponding Abbreviated. Your wheel generation time is greatly reduced as well (it's much faster to generate a couple of 3/12 wheels than an 6/24 one).

The disadvantage is that the player has the additional matching requirement (for matching the numbers specifically within the various zones). On the positive side, the player's lower wheeling cost is a practical matter.

There is always "no free lunch", so there must always be a reduced win guarantee for a reduced wheel. As with all wheels, however, the player knows in advance how the matching works for his or her numbers, and of course knows the cost.