Mirror, mirror on the wall...

[Teufellj]

For those players that aren't in the know and those that should,
mirror digits are very important to winning games of chance. Your various
lottery commissions are very shrewd and counting on our ignorance of
tiny things that can win or lose. It takes one number to make a bundle of
money and also, that same one number to lose your donkey.

Teufellj...

 

[Icewynd]

60% of the time you will find at least one of the mirrors from the previous result in the current result. If you look at the mirrors for the last 2 previous draws, 83% of the time at least one of them will show in the current result.

Combine this with repeats (non-mirror) from the previous draw and you might have a winner.

Good Luck!

 

[Frank]

It might be helpful, so that we are all on the same wavelength, if you were to define what you mean by mirror, there are more than one type of mirror.

 

[jack]

Hello also polindromos, inverted double 32 or 23 numca or two together
* Now either one or the other

 

[jack]

Hello, ice, beyond the mirror numbers, it is possible to create a mirror filter?

 

[Icewynd]

It might be helpful, so that we are all on the same wavelength, if you were to define what you mean by mirror, there are more than one type of mirror.

I think Teuf is talking about the digit games (Pick 2, 3, 4) so the mirrors for the digits 0-9 are:
0 1 2 3 4
5 6 7 8 9

Not sure what you could do with lottery games -- maybe something like the 6/49 Vtracs projects that PAB and I developed a few years ago.

Good Luck!

 

[jack]

hello ice the mirror and adjacent
* 03 are adjacent to example 02 04

 

[Teufellj]

Mirrors...

Thank you, Icewynd for the help! For Franks introspection---
I can devolve things a little closer for the Pick2, Pick3 and the Pick4.
Using this formulae-
12345
and
67890
I can further this descent into -
1--2--3--4--5 like this>1=sub dimensions>1.0=.50=.25-.55!!! These same reduced figures are all interrelated to the core digit of "1" and can be "mirrored" to give a different look to that figure but still be essentially the same number value with the attending add-ons.

Hope that this information clears any lack of knowledge that I created!

Teufellj...

 

[jack]

hello- 0,25- 0,12,5 ??? 0,55

 

[Frank]

I can further this descent into - 1--2--3--4--5 like this>1=sub dimensions>1.0=.50=.25-.55!!! These same reduced figures are all interrelated to the core digit of "1" and can be "mirrored" to give a different look to that figure but still be essentially the same number value with the attending add-ons. Hope that this information clears any lack of knowledge that I created! Teufellj...

No, Now I am really confused. I understood it as a transform of +5, but Sub dimensions in a lottery that uses integers ??

In 6/49 I use 50-n as my mirror transform for individual numbers, so 49 >1 and 30> 20, 25 remains the same at 25.
So individual numbers in Saturdays UK lotto result of
14,26,28,31,32,44 would mirror to :-
36,24,22,19,18,06.

For mirroring complete 6/49 results I take the Lexicographical value and mirror that. For example the lotto result 14,26,28,31,32,44 has a Lex of 12,320,065. Mirror that by subtracting it from ( 13,983,816 +1) to give a lex value of 1,663,752. This represents the combination 1,25,28,41,45, 48, its mirror counting in reverse direction from the top end.
I have converted all 2060 UK lotto results to Lex and added their mirror Lex's to the list to make 4120 results in Lex form, just to see if any result matched another's mirror. Only 2 results in 2060 were 1 away from a match with another's mirror. Eight were within 7 of anothers mirror. Had the current UK lotto format survived to 2200 draws (it dies on October 8th) then with the 2200 results and their mirrors, making 4400 'results' there would be a 50% chance of a repeated combination appearing soon in the list. Its not going to happen now though.

Mirrors conjure up a vision of symmetry before and behind the mirror don't they? Just as an aside here and to demonstrate how asymmetrical lotteries are, you might try and guess the mid point of a 649 lottery in terms of the 6 ball numbers. Well numbers 24,25 are in the middle so a good guess might be 22,23,24,25,26,27 as the middle combination?

Well its Lexicographical value is 13,607,077, not far fom the top end of Lex values and its 'mirror Lex' is 376,740 creating a mirror combination of 1,4,7,26,35,36. No symmetry there then !

What is the mid point of a 649 lottery then ? well its Lex values are 6,991,908 and 6,991,909 sitting astride the mirror.

Which evaluate to Combinations :-
6,7,16,20,28,47
6,7,16,20,28,48

Surprising isn't it ?

I've also toyed in the past with mirrors of the playslip grid, the one you would fill in at a shop. If you imagine a mirror along one edge of that rectangular grid and the reflected pattern of your black marks you filled in- they would cover different numbers on your real world grid, creating a new set from an old one. Another way of creating a random result using mirrors. That's what I understand as mirrors, but if we marked the balls in Roman Numerals there would be even more fun to be had with mirrors.

 

[Teufellj]

Hello Frank...Have you attempted Old Egyptian math-my understanding is that the Pyramids were built without a zero; maybe they rubbed their nose in the middle of measuring out a cubit and whoever was recording
considered the act as "+/-" perhaps depending upon the direction?
Anyway--- my thoughts bear the proof that in lottery, math mirrors have a
pictorial of one day in the future and the actual day plus, one day in the past in a manner of prospective reasoning.
Nice talking with you,

Teufellj...

 

[Tesla]

Wow Frank! - I'm totally blown away. Okay so now I don't understand this mirror thing at all. I was okay with 23 being the mirror of 32 and going say with 24 - 25 being the mirror point in a 1 to 49 so that 1 is the mirror of 49 but holy cow "a Lex of 12,320,065"

Any chance you can explain this in lamens terms? I'd really like to be able to wrap my head around this, because it sounds like something that might have real value to my evaluation along with adjacents.

Thanks! BTW- I really respect your posts ... they are just so far above my current skillset

 

[Frank]

Hi Tesla, I appreciate your comments, and I am aware that some of the stuff I write here can be difficult to get your head around, and I do try to keep things as simple as the context of the discussion will allow, some things you just have to hope the reader has come across before, otherwise one would end up writing War and Peace if starting at the very beginning every time. The question of "what is a lex value ?" has been asked before, most recently on a thread headed Lexographic 101 in the International & State Lotteries forum. Part way into that thread I gave this reply, which I have edited and expanded on:-



We are trying to give a number to each combination in an orderly logical fashion starting from 1-2-3-4-5-6 =Lex 1.

Well in the same way that a car odometer keeps track of your mileage, you have to have a counting system to understand a readout. We happen normally to use the decimal system, which means that when we increment by one, the rightmost digit of the odometer increases by one. However, when we get to the highest allowable value (9) on the last digit and want to increment by one ... the rule says that the last digit goes to zero and then second right digit goes up by one. This rule applies digit by digit working from the right.

We wish to create a combination sequence list for a particular lottery. So what about a lottery with 49 balls and there are 6 drawn balls ? Each combination starting from 1,2,3,4,5,6 right up to 44,45,46,47,48,49 can be represented by a Combination Sequence number instead. Its easy to do the first and the last numbers 1,2,3,4,5,6 = CSN 1 and 44,45,46,47,48,49 =CSN 13,983,816. Most people exchange the term CSV for Lex and vice versa.

Unlike the car odometer, where any value can sit in any position, sorted lottery results have upper and lower limits on a ball value in a position. The rule N6 has to be greater than N5, and N5 has to be greater than N4, etc working right to left must apply.

The Lex value for. 1- 2- 3- 4 - 5- 49 happens to be 44 (as demonstrated below) but how do we get the next sequence which has a Lex of 45?

The rules for indexing are similar to the odometer except when the rightmost figure gets to its highest allowable value for its position when sorted ascending then :-
First, the digit to its left is incremented by one (except when it has reached its highest allowable value for its position when sorted ascending - in which case it freezes there) and the rule carries on working right to left. In our example 5 becomes 6.

The rightmost digit reverts to its lowest allowable value for its position when sorted ascending - which is one more than the ball value to its left. In our example 49 reverts to 6+1 =7.

so we get 1 - 2 - 3- 4- 6- 7 has a Lex of 45.

Obviously the highest allowable values in each position are: 44-45-46-47-48-49.

Here are the first 94 CSV values and the combinations they represent. Note carefully what happens when the 6th digit reaches its upper limit ...

CSV..Combination or Lex value
01..... 1 2 3 4 5 6
02 ..... 1 2 3 4 5 7
03..... 1 2 3 4 5 8
04 ..... 1 2 3 4 5 9
05..... 1 2 3 4 5 10
06..... 1 2 3 4 5 11
07..... 1 2 3 4 5 12
08..... 1 2 3 4 5 13
09..... 1 2 3 4 5 14
10..... 1 2 3 4 5 15
11..... 1 2 3 4 5 16
12..... 1 2 3 4 5 17
13..... 1 2 3 4 5 18
14..... 1 2 3 4 5 19
15..... 1 2 3 4 5 20
16..... 1 2 3 4 5 21
17..... 1 2 3 4 5 22
18..... 1 2 3 4 5 23
19..... 1 2 3 4 5 24
20..... 1 2 3 4 5 25
21..... 1 2 3 4 5 26
22..... 1 2 3 4 5 27
23..... 1 2 3 4 5 28
24..... 1 2 3 4 5 29
25..... 1 2 3 4 5 30
26..... 1 2 3 4 5 31
27..... 1 2 3 4 5 32
28..... 1 2 3 4 5 33
29..... 1 2 3 4 5 34
30..... 1 2 3 4 5 35
31..... 1 2 3 4 5 36
32..... 1 2 3 4 5 37
33..... 1 2 3 4 5 38
34..... 1 2 3 4 5 39
35..... 1 2 3 4 5 40
36..... 1 2 3 4 5 41
37..... 1 2 3 4 5 42
38..... 1 2 3 4 5 43
39..... 1 2 3 4 5 44
40..... 1 2 3 4 5 45
41..... 1 2 3 4 5 46
42..... 1 2 3 4 5 47
43..... 1 2 3 4 5 48
44..... 1 2 3 4 5 49

45..... 1 2 3 4 6 7
46..... 1 2 3 4 6 8
47..... 1 2 3 4 6 9
48..... 1 2 3 4 6 10
49..... 1 2 3 4 6 11
50..... 1 2 3 4 6 12
51..... 1 2 3 4 6 13
52..... 1 2 3 4 6 14
53..... 1 2 3 4 6 15
54..... 1 2 3 4 6 16
55..... 1 2 3 4 6 17
56..... 1 2 3 4 6 18
57..... 1 2 3 4 6 19
58..... 1 2 3 4 6 20
59..... 1 2 3 4 6 21
60..... 1 2 3 4 6 22
61..... 1 2 3 4 6 23
62..... 1 2 3 4 6 24
63..... 1 2 3 4 6 25
64..... 1 2 3 4 6 26
65..... 1 2 3 4 6 27
66..... 1 2 3 4 6 28
67..... 1 2 3 4 6 29
68..... 1 2 3 4 6 30
69..... 1 2 3 4 6 31
70..... 1 2 3 4 6 32
71..... 1 2 3 4 6 33
72..... 1 2 3 4 6 34
73..... 1 2 3 4 6 35
74..... 1 2 3 4 6 36
75..... 1 2 3 4 6 37
76..... 1 2 3 4 6 38
77..... 1 2 3 4 6 39
78..... 1 2 3 4 6 40
79..... 1 2 3 4 6 41
80..... 1 2 3 4 6 42
81..... 1 2 3 4 6 43
82..... 1 2 3 4 6 44
83..... 1 2 3 4 6 45
84..... 1 2 3 4 6 46
85..... 1 2 3 4 6 47
86..... 1 2 3 4 6 48
87..... 1 2 3 4 6 49

88..... 1 2 3 4 7 8
89..... 1 2 3 4 7 9
90..... 1 2 3 4 7 10
91..... 1 2 3 4 7 11
92..... 1 2 3 4 7 12
93..... 1 2 3 4 7 13
94..... 1 2 3 4 7 14

Eventually at the very top of the Lex range, the last 3 values are:-
13,983,814..... 43 44 46 47 48 49
13,983,815..... 43 45 46 47 48 49
13,983,816..... 44 45 46 47 48 49

If you now read the thread I mentioned http://www.lottoforums.com/lottery/international-state-lotteries/13552-lexicographic-101-a.html

there is more detail and discussions about how computers use these rules to calculate lex and vice versa.

 

[Icewynd]

Anyone who recalls the Vtracs for 6/49 thread will see how I do "mirroring" for that game. Basically the lower half of the number distribution is combined with the upper half and the two digits are treated as one.

So, the 1 and 25 are combined, 2&26, 3&27 etc. The only exception is 24 which is combined with 25 and 49 to make the only group of 3 (necessary because of the extra number).

This system could be modified to fit any lottery. I find this "compressed" view of the lottery numbers makes trends easier to spot. You get a lot more repeats and often a pair of numbers will hit 4-5 times in a row, switching between the two members of the group (e.g. 17, 17, 42, 17, 42).

Good Luck!