Gaps
This Analysis relies on placing the Numbers in Numerical Order.
I don’t know, but Gap is a more pleasing word than Difference. The Fact is I call a Difference a Gap. If that bothers you then move on and Fish Somewhere Else.
Anyone that looks at Pairs is actually looking at a Gap. Pair = N1&N2; N2=N1+Gap.
In a 5/39 Draw there are 5 Numbers that equal 10 Pairs. The List below are the Pairs by Position.
12
|
13
|
14
|
15
|
23
|
24
|
25
|
34
|
35
|
45
|
We Focus on 5 Pairs or Gaps in this Selection Process
It is Easy and Fun to build Combinations by Gaps.
Biggest Hitters by Position are shown below (All of California Fantasy 5 Draws)
12
|
13
|
14
|
15
|
23
|
24
|
25
|
34
|
35
|
45
|
2
|
10
|
18
|
25
|
1
|
11
|
16
|
1
|
12
|
1
|
1070
|
528
|
449
|
454
|
1173
|
493
|
392
|
1172
|
514
|
1201
|
I like to begin with the 15 Gap.
This First Guess has a Range of 13 to 38. A Selection near the high end is a fairly Radical Reduction in the Number of Combinations. For example, Look at a Gap of 30. There are only 9 Possible “Pairs” in the 1 and 5 Position.
P1_P5 Gap
|
30
|
P1
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
P5
|
31
|
32
|
33
|
34
|
35
|
36
|
37
|
38
|
39
|
There are still too many Combinations to Play that Match This Criteria.
Next Look at the P1_P2 Gap.
This is a Guess that can be Narrowed down to from 1 to 10. Larger Gaps are much lower in frequency but have a more radical impact on the Inventory. The Larger Gaps do hit with some regularity, so don’t be afraid to go there occasionally. For this example, Look at a Gap of 7.
P1
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
P2
|
8
|
9
|
10
|
11
|
12
|
13
|
14
|
15
|
16
|
P5
|
31
|
32
|
33
|
34
|
35
|
36
|
37
|
38
|
39
|
There are still too Many combinations to Play that Match this Criteria
Next look at P2_P3 Gap
This is a Guess that can be Limited to from 1 to 9. As an example, look at a Gap of 3.
P1
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
P2
|
8
|
9
|
10
|
11
|
12
|
13
|
14
|
15
|
16
|
P3
|
11
|
12
|
13
|
14
|
15
|
16
|
17
|
18
|
19
|
P5
|
31
|
32
|
33
|
34
|
35
|
36
|
37
|
38
|
39
|
Now We are getting a reasonable inventory. The 9 Sets above each has 19 combinations Possible for an Inventory of 171 Combinations.
The Next Selection Reduces the Set to Just 9 Combinations. Selecting the P3_P4 Gap fixes the P4_P5 Gap because P5 was Set in the First Guess.
A Guess that can be Limited to from 1 to 8. Looking at a Gap of 1
P1
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
P2
|
8
|
9
|
10
|
11
|
12
|
13
|
14
|
15
|
16
|
P3
|
11
|
12
|
13
|
14
|
15
|
16
|
17
|
18
|
19
|
P4
|
12
|
13
|
14
|
15
|
16
|
17
|
18
|
19
|
20
|
P5
|
31
|
32
|
33
|
34
|
35
|
36
|
37
|
38
|
39
|
Resulting in 9 Sets.
Each Selection has a different Reduction Effect. Larger Numbers produce more radical reductions because they eliminate more numbers. Think of a Gap between adjacent Position as a Filter that discards all numbers that would fall under the Gap. It all starts with the P1_P5 Gap.
You might be tempted to Attack Gaps with a Bunch of Blocks, Structures and Codes. Been there Done That. MrB and Gary are Correct. There are too Many Codes to Worry about and your brain will scramble trying to develop a reason to pick one over the other. It is not worth it. Instead think of it as a hop across a stream. More like Hop Scotch where you jump across first and then hop Back to a rock in Mid Stream. That makes no sense unless you realize that the Gaps are your Fishing Net.
Good Fishing
Below are Links to a Word File containing a few Graphs not Shown here and an Excel File that you can use to Generate Combinations. Go Getum!
Excel File
https://1drv.ms/x/s!As5vGPYDVqVmijtpV1Ey93AYddBA
Word File
https://1drv.ms/w/s!As5vGPYDVqVmijqwDq_jTiAPSSO0