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Constructing dynamic coverings

Topic closed. 29 replies. Last post 8 years ago by Todd.

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Greece
Member #2815
November 18, 2003
502 Posts
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Posted: October 13, 2008, 11:35 am - IP Logged

Well, greetings to everyone. It's been a while since my last post but I have some good news to announce. In the past I used to talk about a system (named Wheel Generator [WG]- search older posts here f you want more info) that can construct coverings on demand and also incorporating constraints (filters) to the final outcome. This is the first time I have actual testing data to present, as it currently forms, and I'd like to hear your comments.

I'll use an 18,6,4,6=42 covering to illustrate some interesting observations. This covering was picked randomly for this example.
First, I plan to play with my 18 randomly selected numbers (lotto 6/49 game) which are: 3,6,7,8,12,15,19,23,24,25,26,28,30,34,35,39,43,46
I also plan to introduce the following filters: Sums accept 80-160, Odd/even accept 2-4 and Common accept 2-3 where my common set is: 6,7,8,24,25,26,28,30 (that means I want 2-3 numbers from this common set to appear in every ticket produced, if possible).

First I present a typical (18,6,4,6,L=1)=42 covering as found in the internet and applied my 18 numbers set to it:

03 - 06 - 07 - 08 - 12 - 15 * 51, 3,3
03 - 06 - 07 - 19 - 23 - 24 * 82, 4,3
03 - 06 - 07 - 25 - 26 - 28 * 95, 3,5
03 - 06 - 07 - 30 - 34 - 35 * 115,3,3
03 - 06 - 07 - 39 - 43 - 46 * 144,4,2
03 - 08 - 19 - 25 - 30 - 39 * 124,4,3
03 - 08 - 23 - 26 - 34 - 43 * 137,3,2
03 - 08 - 24 - 28 - 35 - 46 * 144,2,2
03 - 12 - 19 - 26 - 34 - 46 * 140,2,1
03 - 12 - 23 - 28 - 35 - 39 * 140,4,1
03 - 12 - 24 - 25 - 30 - 43 * 137,3,3
03 - 15 - 19 - 28 - 35 - 43 * 143,5,1
03 - 15 - 23 - 25 - 30 - 46 * 142,4,2
03 - 15 - 24 - 26 - 34 - 39 * 141,3,2
06 - 08 - 19 - 28 - 30 - 46 * 137,1,4
06 - 08 - 23 - 25 - 34 - 39 * 135,3,3
06 - 08 - 24 - 26 - 35 - 43 * 142,2,4
06 - 12 - 19 - 25 - 34 - 43 * 139,3,2
06 - 12 - 23 - 26 - 35 - 46 * 148,2,2
06 - 12 - 24 - 28 - 30 - 39 * 139,1,4
06 - 15 - 19 - 26 - 35 - 39 * 140,4,2
06 - 15 - 23 - 28 - 30 - 43 * 145,3,3
06 - 15 - 24 - 25 - 34 - 46 * 150,2,3
07 - 08 - 19 - 26 - 30 - 43 * 133,3,4
07 - 08 - 23 - 28 - 34 - 46 * 146,2,3
07 - 08 - 24 - 25 - 35 - 39 * 138,4,4
07 - 12 - 19 - 28 - 34 - 39 * 139,3,2
07 - 12 - 23 - 25 - 35 - 43 * 145,5,2
07 - 12 - 24 - 26 - 30 - 46 * 145,1,4
07 - 15 - 19 - 25 - 35 - 46 * 147,5,2
07 - 15 - 23 - 26 - 30 - 39 * 140,4,3
07 - 15 - 24 - 28 - 34 - 43 * 151,3,3
08 - 12 - 15 - 19 - 23 - 24 * 101,3,2
08 - 12 - 15 - 25 - 26 - 28 * 114,2,4
08 - 12 - 15 - 30 - 34 - 35 * 134,2,2
08 - 12 - 15 - 39 - 43 - 46 * 163,3,1
19 - 23 - 24 - 25 - 26 - 28 * 145,3,4
19 - 23 - 24 - 30 - 34 - 35 * 165,3,2
19 - 23 - 24 - 39 - 43 - 46 * 194,4,1
25 - 26 - 28 - 30 - 34 - 35 * 178,2,4
25 - 26 - 28 - 39 - 43 - 46 * 207,3,3
30 - 34 - 35 - 39 - 43 - 46 * 227,3,1

In the above covering, after the * are displayed the columns [Sum/Odd-Even/Common] and in red the tickets that failed in at least one filter (in bold the filter failed). The above wheel offers the 4if6 100%, however it fails quite miserably to the filters requirements (21/42 of tickets pass the filters): Sums pass 35/42 (83.3%), Odd-Evenpass 36/42 (85.7%), Common pass 26/42 (61.9%).

WG, was set to produce the above covering from scratch with the requested constraints. All filters and coverage have been set to equal priority (50%) [think of this as boosting everything as much as it can get without degrading the importance of any of the constraints] and the produced covering was:

03 06 07 35 39 46 * 136,4,2
03 06 08 15 24 34 * 90, 2,3
03 06 15 25 30 39 * 118,4,3
03 06 19 23 26 30 * 107,3,3
03 06 26 30 43 46 * 154,2,3
03 07 12 15 26 43 * 106,4,2
03 07 19 23 24 25 * 106,5,3
03 08 12 26 34 35 * 118,2,2
03 08 15 25 26 43 * 120,4,3
03 08 23 28 30 34 * 126,2,3
03 08 24 28 35 43 * 141,3,3
03 12 19 28 30 39 * 131,3,2
03 12 25 30 34 43 * 147,3,2
03 19 25 28 39 46 * 160,4,2
03 23 24 26 34 39 * 149,3,2
06 07 23 28 34 43 * 141,3,3
06 07 24 25 26 28 * 116,2,5
06 08 15 23 28 39 * 119,3,3
06 08 25 34 35 46 * 154,2,3
06 08 26 30 39 43 * 152,2,4
06 12 19 25 43 46 * 151,3,2
06 12 23 24 30 35 * 130,2,3
06 15 19 26 28 35 * 129,3,3
06 24 34 39 43 46 * 192,2,2
07 08 12 19 34 39 * 119,3,2
07 08 12 23 43 46 * 139,3,2
07 08 15 19 30 35 * 114,4,3
07 08 24 25 30 39 * 133,3,5
07 12 26 28 35 39 * 147,3,3
07 15 23 25 35 46 * 151,5,2
07 15 26 30 34 46 * 158,2,3
07 19 24 28 34 46 * 158,2,3
07 19 25 26 34 43 * 154,4,3
08 12 19 25 28 46 * 138,2,3
08 19 24 26 35 46 * 158,2,3
12 15 19 23 34 46 * 149,3,1
12 15 24 25 35 39 * 150,4,2
12 15 24 28 30 46 * 155,1,3
12 23 25 26 28 46 * 160,2,3
15 19 23 24 26 43 * 150,4,2
15 25 28 34 35 43 * 180,4,2
19 23 30 35 39 43 * 189,5,1

The above covering offers 4if6 in 99.14% (missing 160/18564) and the filters requirements (33/42 tickets pass): Sums pass 39/42 (92.8%), Odd-Even pass 38/42 (90.5%), Common pass 37/42 (88.1%). That translates as we made 12 more tickets passing our filters :!:
Now, although we don't have a complete 4if6 100% covering, possibly due to the equal priority and the constraints set, we see a good boost in the conditions set by the filters and a 'maximization' of coverage offered under these constraints. Regarding the 4if6 coverage, it might be an utopia to expect it to be 100% based on the filter constraints we have set, for the same amount of tickets required by a minimal construction without constraints (42 in this example). This is mainly because aminimal construction is quite tight to 'allow' many alterations and 'room' for further constraints (filters) and still maintain the 100% guarantee. Of course nothing tell us that such a covering doesn't exist. We could try and set the engine to give more priority to the coverage or alternatively we could add a few more tickets as as implified way to compete with the 100% requirement whilst retaining these constraints. My observation is that we do actually play more tickets which 'look-like-winning-tickets' when using such an optimization whilst maintaining a very high coverage ratio, compared to playing just a minimal covering and applying our numbers on it without any optimization. I'm looking forward to your comments.

cheers
lottoarchitect

If you have something to do, at least do it well...

    JKING's avatar - Kaleidoscope 3.gif

    United States
    Member #5599
    July 13, 2004
    1192 Posts
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    Posted: October 14, 2008, 8:44 am - IP Logged

    Hi,

      It has been a long time. Welcome back. *S*

      How long before you release your newest software?

      What about 5 ball lotteries?

    You are a slave to the choices you have made.  jk

    Even a blind squirrel will occasioanlly find an acorn.

      lottoarchitect's avatar - waveform

      Greece
      Member #2815
      November 18, 2003
      502 Posts
      Offline
      Posted: October 14, 2008, 1:39 pm - IP Logged

      Hi JKing,

      the logic is universal and the system allows working with 2-12 ball lotteries. Up to 7 balls games, you can deal with a pool of 99 balls. Beyond 7 ball games, the total numbers you can deal with is reduced to a minimum 37 for a 12 ball lottery. I think this i more than enough for any sort of lottery game around the world.Wink As for the release date, I expect it to be within next month, probably mid to end of November.

      However, I'd like everybody's comments on the results presented above; what they think, what is missing, what is good, what is bad etc.

      cheers

      lottoarchitect

      If you have something to do, at least do it well...

        Amazing Grace's avatar - lion
        rainbow lake
        Canada
        Member #25177
        November 2, 2005
        10764 Posts
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        Posted: October 16, 2008, 11:30 am - IP Logged

        Hi JKing,

        the logic is universal and the system allows working with 2-12 ball lotteries. Up to 7 balls games, you can deal with a pool of 99 balls. Beyond 7 ball games, the total numbers you can deal with is reduced to a minimum 37 for a 12 ball lottery. I think this i more than enough for any sort of lottery game around the world.Wink As for the release date, I expect it to be within next month, probably mid to end of November.

        However, I'd like everybody's comments on the results presented above; what they think, what is missing, what is good, what is bad etc.

        cheers

        lottoarchitect

         03 06 07 35 39 46 * 136,4,2
        03 06 08 15 24 34 * 90, 2,3
        03 06 15 25 30 39 * 118,4,3
        03 06 19 23 26 30 * 107,3,3
        03 06 26 30 43 46 * 154,2,3
        03 07 12 15 26 43 * 106,4,2
        03 07 19 23 24 25 * 106,5,3
        03 08 12 26 34 35 * 118,2,2
        03 08 15 25 26 43 * 120,4,3
        03 08 23 28 30 34 * 126,2,3
        03 08 24 28 35 43 * 141,3,3
        03 12 19 28 30 39 * 131,3,2
        03 12 25 30 34 43 * 147,3,2
        03 19 25 28 39 46 * 160,4,2
        03 23 24 26 34 39 * 149,3,2
        06 07 23 28 34 43 * 141,3,3
        06 07 24 25 26 28 * 116,2,5
        06 08 15 23 28 39 * 119,3,3
        06 08 25 34 35 46 * 154,2,3
        06 08 26 30 39 43 * 152,2,4
        06 12 19 25 43 46 * 151,3,2
        06 12 23 24 30 35 * 130,2,3
        06 15 19 26 28 35 * 129,3,3
        06 24 34 39 43 46 * 192,2,2
        07 08 12 19 34 39 * 119,3,2
        07 08 12 23 43 46 * 139,3,2
        07 08 15 19 30 35 * 114,4,3
        07 08 24 25 30 39 * 133,3,5
        07 12 26 28 35 39 * 147,3,3
        07 15 23 25 35 46 * 151,5,2
        07 15 26 30 34 46 * 158,2,3
        07 19 24 28 34 46 * 158,2,3
        07 19 25 26 34 43 * 154,4,3
        08 12 19 25 28 46 * 138,2,3
        08 19 24 26 35 46 * 158,2,3
        12 15 19 23 34 46 * 149,3,1
        12 15 24 25 35 39 * 150,4,2
        12 15 24 28 30 46 * 155,1,3
        12 23 25 26 28 46 * 160,2,3
        15 19 23 24 26 43 * 150,4,2
        15 25 28 34 35 43 * 180,4,2
        19 23 30 35 39 43 * 189,5,1

         

        07-09-15-21-38-40, Bonus: 13

        national 6-49 canada , Nice try

        25-32-33-38-45-46 western 6-49 uncommon combos

        Secret to $uccess=Law of Attraction

          Amazing Grace's avatar - lion
          rainbow lake
          Canada
          Member #25177
          November 2, 2005
          10764 Posts
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          Posted: October 16, 2008, 11:47 am - IP Logged

          When playing the Canadian 6-49 lottery in my mind all combos should be construced as follows

          1xxxx40 to 49

          2xxxx40 to 49

          3xxxx40 to 49

          etc

          9xxxx40 to 49.

          from these you choose your start number to be even or odd when playing, that is to filter to play less combos.

          Secret to $uccess=Law of Attraction

            Amazing Grace's avatar - lion
            rainbow lake
            Canada
            Member #25177
            November 2, 2005
            10764 Posts
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            Posted: October 16, 2008, 11:55 am - IP Logged

            When playing the Canadian 6-49 lottery in my mind all combos should be construced as follows

            1xxxx40 to 49

            2xxxx40 to 49

            3xxxx40 to 49

            etc

            9xxxx40 to 49.

            from these you choose your start number to be even or odd when playing, that is to filter to play less combos.

            Wed, Oct 15, 200807-09-15-21-38-40, Bonus: 13
            Sat, Oct 11, 200807-08-23-38-39-45, Bonus: 47
            Wed, Oct 8, 200804-13-19-32-40-45, Bonus: 28
            Sat, Oct 4, 200812-19-23-25-36-46, Bonus: 02
            Wed, Oct 1, 200802-08-22-29-34-48, Bonus: 47
            Sat, Sep 27, 200811-19-29-33-44-46, Bonus: 34
            Wed, Sep 24, 200810-27-36-40-42-43, Bonus: 37
            Sat, Sep 20, 200802-10-24-31-33-49, Bonus: 03
            Wed, Sep 17, 200807-09-17-23-27-32, Bonus: 22
            Sat, Sep 13, 200805-18-20-26-37-39, Bonus: 14
            Wed, Sep 10, 200802-15-25-31-38-49, Bonus: 48
            Sat, Sep 6, 200802-05-09-17-32-35, Bonus: 36
            Wed, Sep 3, 200805-21-28-32-43-46, Bonus: 13
            Sat, Aug 30, 200802-26-29-36-37-45, Bonus: 31
            Wed, Aug 27, 200802-12-25-28-35-48, Bonus: 03
            Sat, Aug 23, 200803-07-13-30-38-46, Bonus: 24
            Wed, Aug 20, 200803-06-09-27-28-36, Bonus: 45

             

            when you filter your combos for less play then you can choose

            oddxxxxodd

            oddxxxxeven

            evenxxxxodd

            ect...

            my next play for this draw would be.

            evenxxxxeven

            so

            2xxxx40

            2xxxx42

            2xxxx44

            2xxxx46

            2xxxx48

            4xxxx40

            4xxxx42

            etc...

            8xxxx40

            8xxxx48

            Secret to $uccess=Law of Attraction

              Amazing Grace's avatar - lion
              rainbow lake
              Canada
              Member #25177
              November 2, 2005
              10764 Posts
              Offline
              Posted: October 16, 2008, 11:59 am - IP Logged

              To filter more i would go high low

              2,4 low.6,8 high

              40,42,44, low

              46,48, high.

              I choose high low

              so

              6xxxx40

              6xxxx42

              6xxxx44

              8xxxx40

              8xxxx42

              8xxxx44

               

              by doing this it allow me to play more of the inside combos.( xxxx)

              Secret to $uccess=Law of Attraction

                lottoarchitect's avatar - waveform

                Greece
                Member #2815
                November 18, 2003
                502 Posts
                Offline
                Posted: October 16, 2008, 1:16 pm - IP Logged

                These are interesting ideas Amazing Grace, however I'm not talking about filtering down a set of tickets to reduce the cost, neither I understand why you compare the 2nd covering to what had been drawn in Canada. The selection of numbers was random.

                I propose a totally different approach here. We have the total cost (tickets) to play predetermined e.g. I want to play 40 tickets with my own selection of numbers. I also want the tickets generated to conform to some constraints I want (filters) such as sums, odd/even etc. So far is common knowledge and any filtering program can do this. However, the crucial part missing is the guarantee offered by playing these generated tickets. Playing a predesigned wheel doesn't offer the ability of conforming the tickets to our filters, thus even if we have the guarantee of the wheel (the reason we use a wheel in first place), we still play tickets that are not in a 'winning tickets' form by the means of the filters we have set. This is the example I demonstrated with the first covering. On the other side, generating tickets by filtering, we do have our tickets pass the filters, however we miss any potential guarantee that we could have by playing those tickets. Hope you understand the problem addressed here. The 2nd covering I present tries to improve as much as possible both of these properties.

                For example,  I doubt you'd ever play these tickets on your own

                03 - 06 - 07 - 08 - 12 - 15
                25 - 26 - 28 - 30 - 34 - 35
                25 - 26 - 28 - 39 - 43 - 46
                30 - 34 - 35 - 39 - 43 - 46

                which are produced by the 1st covering. This is the real problem. Predefined wheels do not 'care' about what tickets we play as soon as we play all the tickets together to ensure the guarantee. The 2nd covering tries to avoid all such 'non-winning-tickets' by using the constraints of the filters we have set. You'll not see such combinations, or at least to these extremes, in the 2nd covering which I'd rather not spend my money playing just to ensure the guarantee. I'd much more prefer to play the 2nd covering and still benefit from the guarantee offered.

                The last example you present here could be used as a filter in this construction process, the positioning filter as I call it.

                Also think of this dynamic process a bit differently. Nobody wants to play many of the numbers drawn in the last couple of draws. What you do, if you still want to include these numbers in your selection for the next draw? If you use an existing wheel, you have absolutely no control over how your numbers will be applied to the tickets produced. Setting the constraint of e.g. "I want only 1-3 of the numbers last drawn to be in any of the produced tickets but I still want the highest coverage possible", we try to ensure we never play bad tickets. This is just one of the possibilities of the new system.

                In short, we try to benefit from both worlds; conforming the produced tickets to our filters and wheels at the same time to get the best of both worlds Wink

                cheers

                lottoarchitect

                If you have something to do, at least do it well...

                  Amazing Grace's avatar - lion
                  rainbow lake
                  Canada
                  Member #25177
                  November 2, 2005
                  10764 Posts
                  Offline
                  Posted: October 17, 2008, 2:12 am - IP Logged

                  These are interesting ideas Amazing Grace, however I'm not talking about filtering down a set of tickets to reduce the cost, neither I understand why you compare the 2nd covering to what had been drawn in Canada. The selection of numbers was random.

                  I propose a totally different approach here. We have the total cost (tickets) to play predetermined e.g. I want to play 40 tickets with my own selection of numbers. I also want the tickets generated to conform to some constraints I want (filters) such as sums, odd/even etc. So far is common knowledge and any filtering program can do this. However, the crucial part missing is the guarantee offered by playing these generated tickets. Playing a predesigned wheel doesn't offer the ability of conforming the tickets to our filters, thus even if we have the guarantee of the wheel (the reason we use a wheel in first place), we still play tickets that are not in a 'winning tickets' form by the means of the filters we have set. This is the example I demonstrated with the first covering. On the other side, generating tickets by filtering, we do have our tickets pass the filters, however we miss any potential guarantee that we could have by playing those tickets. Hope you understand the problem addressed here. The 2nd covering I present tries to improve as much as possible both of these properties.

                  For example,  I doubt you'd ever play these tickets on your own

                  03 - 06 - 07 - 08 - 12 - 15
                  25 - 26 - 28 - 30 - 34 - 35
                  25 - 26 - 28 - 39 - 43 - 46
                  30 - 34 - 35 - 39 - 43 - 46

                  which are produced by the 1st covering. This is the real problem. Predefined wheels do not 'care' about what tickets we play as soon as we play all the tickets together to ensure the guarantee. The 2nd covering tries to avoid all such 'non-winning-tickets' by using the constraints of the filters we have set. You'll not see such combinations, or at least to these extremes, in the 2nd covering which I'd rather not spend my money playing just to ensure the guarantee. I'd much more prefer to play the 2nd covering and still benefit from the guarantee offered.

                  The last example you present here could be used as a filter in this construction process, the positioning filter as I call it.

                  Also think of this dynamic process a bit differently. Nobody wants to play many of the numbers drawn in the last couple of draws. What you do, if you still want to include these numbers in your selection for the next draw? If you use an existing wheel, you have absolutely no control over how your numbers will be applied to the tickets produced. Setting the constraint of e.g. "I want only 1-3 of the numbers last drawn to be in any of the produced tickets but I still want the highest coverage possible", we try to ensure we never play bad tickets. This is just one of the possibilities of the new system.

                  In short, we try to benefit from both worlds; conforming the produced tickets to our filters and wheels at the same time to get the best of both worlds Wink

                  cheers

                  lottoarchitect

                  maybe i am reading this wrong, But constructing dynamic coverings, in my mind would be the best possible way to build a combination set to ensure more low and high level wins,

                  So why not concentrate on the inside four numbers drawn.

                  and have your outside sent up as banker numbers,

                  so banker numbers 1 to 9 first postion, 40 to 49 in last , if playing a 6-49 lottery.

                  heres a simple search on my criteria.

                   

                  Thu, Oct 16, 2008New JerseyPick 603-09-20-23-37-38
                  Thu, Oct 16, 2008Washington, D.C.DC Daily 602-03-09-17-21-32, Bonus: 04
                  Thu, Oct 16, 2008West VirginiaCash 2507-09-12-17-20-22
                  Thu, Oct 16, 2008WisconsinSuper Cash05-15-16-20-23-29
                  Wed, Oct 15, 2008ArizonaThe Pick01-03-09-10-18-34
                  Wed, Oct 15, 2008ColoradoLotto04-07-14-23-29-38
                  Wed, Oct 15, 2008DelawareMulti-Win Lotto08-11-23-28-30-35
                  Wed, Oct 15, 2008FloridaLotto07-12-17-19-42-53
                  Wed, Oct 15, 2008IndianaLotto03-04-21-25-30-46
                  Wed, Oct 15, 2008Ireland (Irish)Lotto Plus 104-10-13-27-30-42, Bonus: 22
                  Wed, Oct 15, 2008Ireland (Irish)Lotto Plus 207-12-25-38-39-41, Bonus: 27
                  Wed, Oct 15, 2008LouisianaLotto01-06-09-26-33-40
                  Wed, Oct 15, 2008MarylandMulti-Match02-05-12-39-41-42
                  Wed, Oct 15, 2008MassachusettsMegabucks04-05-06-14-33-36
                  Wed, Oct 15, 2008MichiganClassic Lotto 4702-16-25-30-31-44
                  Wed, Oct 15, 2008MissouriLotto04-06-16-18-22-30
                  Wed, Oct 15, 2008Multi-StateCanada Lotto 6/4907-09-15-21-38-40, Bonus: 13
                  Wed, Oct 15, 2008Multi-StateTri-State Megabucks04-07-08-09-25-28, Bonus: 22
                  Wed, Oct 15, 2008OntarioOntario 4905-08-20-40-41-46, Bonus: 12
                  Wed, Oct 15, 2008OregonMegabucks02-04-06-10-35-48

                   

                  Now some are 6-49 some others but notice first and last numbers.

                  so to be dynamic, would it not be better to have banker numbers and construct your ideas in the middle.

                  Would this work better?Smile

                  Secret to $uccess=Law of Attraction

                    Amazing Grace's avatar - lion
                    rainbow lake
                    Canada
                    Member #25177
                    November 2, 2005
                    10764 Posts
                    Offline
                    Posted: October 17, 2008, 2:24 am - IP Logged

                    maybe i am reading this wrong, But constructing dynamic coverings, in my mind would be the best possible way to build a combination set to ensure more low and high level wins,

                    So why not concentrate on the inside four numbers drawn.

                    and have your outside sent up as banker numbers,

                    so banker numbers 1 to 9 first postion, 40 to 49 in last , if playing a 6-49 lottery.

                    heres a simple search on my criteria.

                     

                    Thu, Oct 16, 2008New JerseyPick 603-09-20-23-37-38
                    Thu, Oct 16, 2008Washington, D.C.DC Daily 602-03-09-17-21-32, Bonus: 04
                    Thu, Oct 16, 2008West VirginiaCash 2507-09-12-17-20-22
                    Thu, Oct 16, 2008WisconsinSuper Cash05-15-16-20-23-29
                    Wed, Oct 15, 2008ArizonaThe Pick01-03-09-10-18-34
                    Wed, Oct 15, 2008ColoradoLotto04-07-14-23-29-38
                    Wed, Oct 15, 2008DelawareMulti-Win Lotto08-11-23-28-30-35
                    Wed, Oct 15, 2008FloridaLotto07-12-17-19-42-53
                    Wed, Oct 15, 2008IndianaLotto03-04-21-25-30-46
                    Wed, Oct 15, 2008Ireland (Irish)Lotto Plus 104-10-13-27-30-42, Bonus: 22
                    Wed, Oct 15, 2008Ireland (Irish)Lotto Plus 207-12-25-38-39-41, Bonus: 27
                    Wed, Oct 15, 2008LouisianaLotto01-06-09-26-33-40
                    Wed, Oct 15, 2008MarylandMulti-Match02-05-12-39-41-42
                    Wed, Oct 15, 2008MassachusettsMegabucks04-05-06-14-33-36
                    Wed, Oct 15, 2008MichiganClassic Lotto 4702-16-25-30-31-44
                    Wed, Oct 15, 2008MissouriLotto04-06-16-18-22-30
                    Wed, Oct 15, 2008Multi-StateCanada Lotto 6/4907-09-15-21-38-40, Bonus: 13
                    Wed, Oct 15, 2008Multi-StateTri-State Megabucks04-07-08-09-25-28, Bonus: 22
                    Wed, Oct 15, 2008OntarioOntario 4905-08-20-40-41-46, Bonus: 12
                    Wed, Oct 15, 2008OregonMegabucks02-04-06-10-35-48

                     

                    Now some are 6-49 some others but notice first and last numbers.

                    so to be dynamic, would it not be better to have banker numbers and construct your ideas in the middle.

                    Would this work better?Smile

                    If doing so then we would apply your ideas or observations to the inside 4 number sets drawn.

                     

                    Wed, Oct 15, 200807-09-15-21-38-40, Bonus: 13 inside sum 123, 3 odd 1 even 
                    Sat, Oct 11, 200807-08-23-38-39-45, Bonus: 47 inside sum 153, 2 odd 2 even
                    Wed, Oct 8, 200804-13-19-32-40-45, Bonus: 28 inside sum 149,2 odd, 2 even
                    Sat, Oct 4, 200812-19-23-25-36-46, Bonus: 02 inside sum 149,3 odd 1 even
                    Wed, Oct 1, 2008

                    02-08-22-29-34-48, Bonus: 47 inside sum 141,1 odd 3 even

                     

                    Just a small example.

                    Secret to $uccess=Law of Attraction

                      lottoarchitect's avatar - waveform

                      Greece
                      Member #2815
                      November 18, 2003
                      502 Posts
                      Offline
                      Posted: November 19, 2008, 1:27 pm - IP Logged

                      I'd like to announce the availability of Wheel Generator on this Friday.

                      I have a good example analysed of what it aims to achieve as well.

                       

                      cheers

                      lottoarchitect

                      If you have something to do, at least do it well...

                        BobP's avatar - bobp avatar.png
                        Dump Water Florida
                        United States
                        Member #380
                        June 5, 2002
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                        Posted: November 19, 2008, 1:50 pm - IP Logged

                        I'd like to announce the availability of Wheel Generator on this Friday.

                        I have a good example analysed of what it aims to achieve as well.

                         

                        cheers

                        lottoarchitect

                        Cool !!! Can't wait to try it.  BobP

                                                                    Banana

                          RJOh's avatar - chipmunk
                          mid-Ohio
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                          Member #9
                          March 24, 2001
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                          Posted: November 19, 2008, 5:04 pm - IP Logged

                          What is dynamic covering?  I think of a wheel as a fixed covering of the possible combinations of a set of numbers.

                           * you don't need to buy more tickets, just buy a winning ticket * 
                             
                                       Evil Looking       

                            lottoarchitect's avatar - waveform

                            Greece
                            Member #2815
                            November 18, 2003
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                            Posted: November 19, 2008, 5:40 pm - IP Logged

                            What is dynamic covering?  I think of a wheel as a fixed covering of the possible combinations of a set of numbers.

                            A dynamic covering is the one that is being constructed on the fly to fulfill the constraints set. A fixed covering, such all all those found on the internet fail to this simply because they cannot be adjusted to accept additional constraints; the only constraint they hold by design is the coverage aspect (the primary reason they were build for). However, when you apply your own selection of numbers to a fixed covering, although you are guarenteed the coverage offered, you actually play a lot of tickets that will be completely out of anything you you wished for to play; i.e. tickets like 1 2 3 4 5 6 (I doubt anyone will ever play such tickets). In dynamic coverings, such as those constructed by Wheel generator, we try to eliminate all these 'improbable occurring tickets' with others, as defined by our additional constraints (or filters if you prefer) and still maintain the guarentee - if possible of course since we introduce additional constraints. This is the example I demonstrated here and at the website. In simple words, you have a much greater exposure of your tickets to contain more winning numbers, simply because the filters we have set define what we expect the winniing ticket should look like. To clarify my statements above, I am talking about minimal coverings; not serotic/grouped designs which have completely different properties (to be included as well).

                            Of course, the whole idea is radically different from any application of filtering by the usual means everyone knows about. We do not filter out anything; we conform our tickets to maintain the guarantee and pass the filters. A completely new and advanced approach to play with wheels in my opinion.

                            You can think of a dynamic covering as a specialized covering which has been built specifically for the particular draw you want to play a wheel for and aims to get the most out of your selection of numbers (win more).

                             

                            cheers

                            lottoarchitect

                            If you have something to do, at least do it well...

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                              Greece
                              Member #2815
                              November 18, 2003
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                              Posted: November 19, 2008, 6:06 pm - IP Logged

                              If doing so then we would apply your ideas or observations to the inside 4 number sets drawn.

                               

                              Wed, Oct 15, 200807-09-15-21-38-40, Bonus: 13 inside sum 123, 3 odd 1 even 
                              Sat, Oct 11, 200807-08-23-38-39-45, Bonus: 47 inside sum 153, 2 odd 2 even
                              Wed, Oct 8, 200804-13-19-32-40-45, Bonus: 28 inside sum 149,2 odd, 2 even
                              Sat, Oct 4, 200812-19-23-25-36-46, Bonus: 02 inside sum 149,3 odd 1 even
                              Wed, Oct 1, 2008

                              02-08-22-29-34-48, Bonus: 47 inside sum 141,1 odd 3 even

                               

                              Just a small example.

                              AmazingGrace, you say the following:

                                Now some are 6-49 some others but notice first and last numbers.

                                so to be dynamic, would it not be better to have banker numbers and construct your ideas in the middle.

                                Would this work better?Smile

                               

                              Definitely! Something similar is to be added as well. Actually I have already a good list of additions to be made including bankers. However, the approach you demonstrate requires a lot of thinking so not to hinder drastically the coverage aspect of the constructed covering. Remember: the whole ticket participates at the coverage and fixing a particular number in a particular position will introduce a severe contraint to the actual outcome in terms of coverage. I'll think of this in depth and see what I can come up with. Having simply banker numbers is different to fixed bankers in particular positions in a ticket.

                               

                              cheers

                              lottoarchitect

                              If you have something to do, at least do it well...