1. Introductory notes to lotto, lottery wheeling
• Wheeling lotto numbers or playing lotto wheels (abbreviated lotto systems) is the main tool of the so-called expert lotto players. The concept has been around for over two hundred years. In fact, it is a tiny part of a mathematical branch named theory of sets. Let's take the most basic set and wheel its elements: 12 numbers. We can divide the numbers in 4 groups of 3 numbers each: A, B, C, D. Group A=1,2,3; group B=4,5,6; group C=7,8,9; group D=10,11,12. We can combine the 4 groups 2 at a time in a total of C(4,2)=6 combinations of 6 numbers. AB, AC, AD, BC, BD, CD. Converting the groups to their initial compositions, we get:

1,2,3,4,5,6
1,2,3,7,8,9
1,2,3,10,11,12
4,5,6,7,8,9
4,5,6,10,11,12
7,8,9,10,11,12

2. Gambling mathematics, theory of probability applied to lotto, lottery wheeling
This is a new sub-set, constructed from the inclusive set C(12,6)=924 combinations of 6 numbers each. In my theory of sets, if the inclusive set has a main completion rule, a sub-set can be constructed if and only if it has a specific completion rule derived from the main completion rule. Six winning numbers are drawn for the example above. The drawing is random, therefore the 6 winning numbers will have a random spread among the 4 3-number groups: 3,3,0,0; 3,2,1,0; 2,2,2,0; 2,2,1,1; etc. Since all the groups are paired with one another, our 6-combination sub-set cannot have fewer than 4 winning numbers. This is a most basic 'abbreviated lotto system' or 'lotto wheel'. It assures a so-called 'minimum guarantee': '4 of 6' in this example. If the 6 winning numbers are among the 12, the wheel guarantees that at least one combination will contain at least 4 of the winning numbers.

Knowledgeable players will not play combinations such as 1,2,3,4,5,6. I detailed in another message how wasteful such play really is. The players will usually select their own numbers, also known as 'picks'. For example: 7,13,24,8,33,35,42,28,19,37,40,49. The next important step is wheeling the picks. That is, the player needs to replace the theoretical numbers 1,2,3,4,…12 by the picks 7,13,24,8,…49. The process can be done manually, but it is tedious and error prone. The players use software to wheel their lotto numbers. Software wheeling cost money, up until I released freeware to wheel lotto numbers.

Previous software wheelers were also limited in scope. They could only wheel their own abbreviated lotto systems. Generally, they were unable to wheel third-party wheels or powerball systems. My free wheeler software is the most comprehensive to date. It can wheel any kind of wheel, for up to 100 numbers per combination. It can also wheel Powerball, Mega Millions and Keno lotto wheels or systems.

Enter the scene:
• FillWheel.EXE - August 2002 - Freeware.
• LottoWheeler.EXE - September 2006 - The best - Free 32-bit lotto wheeling software.
That's the easiest way to convert the theoretical lotto wheels or systems ('1,2,3,4,5,6' etc.) to combinations of real picks ('29,13,33,2,44,39' etc.)

The set theory and wheeling are not priorities for me now. But I have been able to find very efficient completion rules. Also, using my own software, I have been able to devise the most efficient possible lotto wheels. For example, my 10-number lotto wheel in 3 combinations offers the '4 of 6' minimal guarantee, following exactly the lotto odds. The previous best wheel in that category consisted of 5 combinations.

But be aware that the lotto wheels can do more harm than good. Read my post "The myth of lotto wheels or abbreviated lotto systems". The player must use a good strategy of picking lotto numbers, before using lotto wheels. Please read the main lotto lottery strategy page at this site. My own software, LotWon, SuperPower and MDIEditor and Lotto WE comes with a number of lotto wheels or systems. Please keep in mind that those systems were not optimized according to my own set theory. The wheels contain more combinations than the respective lotto odds. Such systems aimed at hitting better prizes. They are meant to be used in conjunction with the lottery strategies I have presented at this website.

* 10 numbers, 100% '4 of 6', 3 combinations (exactly the lotto odds)
1 2 3 4 5 6
1 3 4 8 9 10
2 5 6 7 9 10

* 11 numbers, 100% '4 of 6', 5 combinations (20% over the lotto odds)
1 2 3 4 5 6
1 2 8 9 10 11
1 3 5 8 10 11
2 3 5 7 9 10
4 6 7 8 9 11

Check out:
Resources in Lotto, Lottery Software, Wheeling.
Lists the main pages on the subject of lottery, lotto, software, wheels and systems.

Genuine Euromillions wheels.

Everybody loves to feast on great software, especially when it is free! My lotto wheeling software (and other categories) is absolutely free to run, for an unlimited period of time. However, only the registered members have a right to download the software. Membership requires a nominal fee — the most reasonable there is to connect to the greatest and most useful software ever created. No kidding! Read the conditions to becoming a registered member: Download Great Free Software: Paid Membership Required.

• Download lottery and lotto software from the download site:

• Wheel-632.exe, Wheel-532.exe, the best on-the-fly wheeling software; applies real lottery filtering.
  ~ Superseded by the most powerful integrated packages
• Pick532.EXE, Pick532.EXE and, especially, the Bright software packages.
  
• Combinations.exe, the universal combinations generator for any lotto, Keno, Powerball, Mega Millions, Euromillions;
  
• LexicoWheels.EXE, generator of lotto wheels based on lexicographical indexing; applies to any lotto, Keno, Powerball, Mega Millions, Euromillions or two-in-one lotto games.
  
• WheelCheck5.EXE, WheelCheck6.EXE, software to verify lotto wheels for missing combinations and generate lotto-5 and lotto6 systems.
  
• LottoWheeler.EXE, free wheeling software: fill out lotto wheels with player lotto numbers. Supersedes the old-time favorite FillWheel.exe (still offered). The two pieces of software replace the theoretical lotto numbers in the SYS/WHEEL files by your picks (the lotto numbers you want to play).

• Shuffle.EXE, SuperFormula.EXE to shuffle (randomize, randomly arrange) your lotto picks. Repeat the randomizing procedure several times. The randomized wheels can be used directly, without shuffling your lotto picks first.

Subject:

Comments:
: : Primer: Wheeling lotto numbers, playing wheels or abbreviated lotto systems. Wheeling lotto numbers or playing lotto wheels (abbreviated lotto systems) is the main tool of the so-called expert lotto players. The concept has been around for over two hundred years. In fact, it is a tiny part of a mathematical branch named theory of sets. Let's take the most basic set and lotto wheel its elements: 12 numbers. We can divide the lotto numbers in 4 groups of 3 numbers each: A, B, C, D. Group A=1,2,3; group B=4,5,6; group C=7,8,9; group D=10,11,12. We can combine the 4 groups 2 at a time in a total of C(4,2)=6 combinations of 6 numbers. AB, AC, AD, BC, BD, CD. This is a new sub-set, constructed from the inclusive set C(12,6)=924 combinations of 6 lotto numbers each. In my theory of sets, if the inclusive set has a main completion rule, a sub-set can be constructed if and only if it has a specific completion rule derived from the main completion rule. The lotto drawing is random, therefore the 6 winning numbers will have a random spread among the 4 3-number groups: 3,3,0,0; 3,2,1,0; 2,2,2,0; 2,2,1,1; etc. Since all the groups are paired with one another, our 6-lotto-number combination set cannot have fewer than 4 winning numbers. This is a most basic 'abbreviated lotto system' or 'lotto wheel'. It assures a so-called 'minimum guarantee': '4 of 6' in this example. If the 6 winning numbers are among the 12, the wheel guarantees that at least one combination will contain at least 4 of the winning numbers. Knowledgeable players will not play combinations such as 1,2,3,4,5,6. I detailed in another message how wasteful such play really is. The lottery players will usually select their own numbers, also known as 'picks'. For example: 7,13,24,8,33,35,42,28,19,37,40,49. The next important step is wheeling the lotto picks. That is, the player needs to replace the theoretical numbers 1,2,3,4,…12 by the lotto picks (numbers to play) 7,13,24,8,…49. The process can be done manually, but it is tedious and error prone. The players use lottery software to wheel their lotto numbers. Software wheeling cost money, up until I released freeware to wheel lotto numbers. Previous software wheelers were also limited in scope. They could only wheel their own abbreviated lotto systems. Generally, they were unable to wheel third-party wheels or powerball systems. My free wheeler is the most comprehensive to date. It can wheel any kind of wheel, for up to 100 numbers per combination. It can also wheel powerball abbreviated and keno wheels systems. Programs: LottoWheeler and FillWheel.EXE, available as a free download from the download site. Using my own lotto software, I have been able to devise the most efficient possible lotto wheels. My 10-number lotto wheel in 3 combinations offers the '4 of 6' minimal guarantee, following exactly the lotto odds. The previous best lottery wheel in that category consisted of 5 lotto combinations. But be aware that the lotto wheels can do more harm than good. The player must use a good strategy of picking lotto numbers, before using lotto wheels. Please read the main lotto lottery strategy page at this site. My own software, LotWon, SuperPower and 'MDIEditor and Lotto' comes with a number of lotto wheels or systems. Please keep in mind that those systems were not optimized according to my own set theory. The lotery wheels contain more combinations than the respective lotto odds. Such systems aimed at hitting better prizes. Title: Wheeling lotto, lottery, powerball, mega-million; how to wheel; wheels, abbreviated lotto systems. Theory of wheeling lotto wheels or abbreviated lotto systems. The best wheeling software to create efficient wheels. Best on wheels, wheeling, abbreviated lotto systems, wheel. Presenting formula, probability, software, lottery, freeware, wheeler. Solid mathematics, theory of games, set, sets, rule, rules, gambling formula, system, powerball, Mega Millions lotto, Powerball, Keno.

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