Written by Ion Saliu on September 18, 2002.

I said in Probability of perfect line shapes in nature: rivers, mountains, trees:
Randomness creates all those shapes of matter.
Randomness also creates all those lottery combinations where '1,2,3,4,5,6' is noticeably missing! The same individual probability, but apparently, Randomness Almighty prefers certain shapes or combination thereof…

How about the graphical shapes created by random numbers on the grids of lotto play slips? Do such geometric patterns resemble perfect shapes? Or do they resemble shapes created by humans, such as drawings?
In the 1980s WEB I read New York lottery officials express worries about geometric shapes or patterns created by the numbers in some lotto draws. They have been aware that many lottery players have played their picks in a manner that created geometric patterns on the play slips. There aren't too many regular, geometric shapes that lotto numbers can create. Therefore, a large number of players would play the same sets of numbers. If such sets would hit the jackpot, the jackpot would be depressingly meager. The main attraction of lotto games is, of course, big jackpots! The officials were right to worry about the possibility of regular (geometric) patterns in the lottery drawings — or resemblance thereof.

I remember of all kinds of lotto systems based on geometric patterns. Some also mixed in astrology. If we are in the Pisces zone, we must play geometric shapes resembling a fish or two, perhaps a shark. I name all such lotto systems the Koffotzuntz patterns. I didn't pay much attention to such patterns and shapes until recently. First of all, lotto is numerical not graphical. The lottery draws numbers; it does not draw shapes (get the pun?) Secondly, the lottery is a phenomenon ruled by Randomness the Almighty. Therefore, the result cannot resemble a human act, such as drawing regular shapes. Nevertheless, I have noticed certain things on other lotto players' playing cards. I've noticed, for example, many numbers in the same column, or on the same line. I understand better in hindsight. All lotto play slips are designed as matrices or grids. My local lottery, Pennsylvania lottery, uses the following formats:
- 8 rows by 5 columns in the 5/39 lotto game
- 9 rows by 8 columns in the 6/69 lotto game.
I assume other lotto games elsewhere use different grid formats.

According to the Koffotzuntz patterns theory, the players must plot their lotto picks in a manner that creates meaningful (geometric, regular) patterns on the cards. For example: crosses, swords, astral configurations, candles, parts of human body, money, animals, religious symbols, even dreams, etc.

A few lottery outlets where I've been playing are also eatery facilities. Many players leave their lotto play slips at the table. I did take home some cards (kind of like helping with the table cleaning!) What did I notice, o incredibly axiomatic magistrates of symmetrical judgment? For I also noticed, with a high probability, the age and the professions of the players. It's not hard at all to assume that one is in the police force — the uniforms are unmistaken! The judges use a lot of these strings in their...sentences (pun intended): "I hereby sentence this thought..." Other humans simply say: “I think so/not”. Only prosecutors say it specifically differently: "I condemn such an idea for its perpetrating irrelevancy"... One way to say that particular numbers will not hit as winners.

The elderly prefer such Koffotzuntz patterns as crosses and candles. The younger players prefer shapes resembling the female or male organ; or both members, if (young) husband and (young) wife play together. Police play usually the sword geometric pattern, while judges prefer the gallows pattern. Some doctors prefer the scythe shape, others the cross or the semi Luna (Crescent). Etc., etc., etc.

How is a sword, for example, plotted? Well, write 4 numbers on the same line. Then, add to a number in the lower column to the third number; add also to the 3rd number a number in the higher column. This is a sword plotted on a lotto 6/49 game (like the one played in Pennsylvania, 2004): 18, 23, 24, 25, 26, 32. The number 26 represents the handle of the “sword”. The number 25 is the third number. The numbers directly above and under it (contiguous columns) are 18 and 32 (a delta of 14, since there are 7 numbers per line; therefore 2 columns differential).

I plotted the last 5 Pennsylvania lottery draws.
1) The 5/39 lotto game: 3 numbers in column 3; 2nd draw: 2 numbers in column 1, 2 numbers in column 2; 3rd draw: 3 numbers in column 4; 4th draw: 2 numbers in column 2, 2 numbers in column 3; 5th draw: 2 numbers in column 3, 2 numbers in columns 4; or, 3 numbers on line 2.
I can't detect any meaningful pattern or shape.

2) The 6/69 lotto game: 2 numbers in column 3; 2nd draw: 2 numbers in column 4, 2 numbers in column 5; 3rd draw: only one number in the same column, or on the same line; 4th draw: 2 numbers in column 3; 5th draw: 2 numbers in column 8. I can't detect any meaningful pattern or shape.

I can notice, however, some numeric patterns. The lotto-5 game can have regularly at least 2 numbers in the same column. The lotto-6 game does not have 3 numbers in the same column; 2 numbers in the same column is a more rare occurrence. Today, September 18, 2 WE, is the draw day of Pennsylvania lotto 6/69. I used a strategy that can hit around this time. I generated a handful of combinations. I plotted them on the play slip. To my dismay, most combinations had 3, even 4 numbers in the same column. I decided against playing today. I am curious to see the real draw pattern tonight. I can only think now of introducing new restrictions in my loto programs. If the software can create various grid formats and eliminate further the combinations with numbers that clump in the same column! 'Cuz now looks like I have to plot the numbers in pencil first… Tedious and inefficient...

In hindsight again: Those combinations were not winners! The patterns were too regular, or organized on my card grids. There is something about the patterns, really. Several numbers on the same line or in the same column red flag too much order. Order is human made, in an attempt to be in contempt to Almighty Randomness.

I am thinking also of something else. What if I draw as patterns the faces of my googoos? There must be high randomness in their faces. I can pattern the face of Boober Zan on the stretcher; gGeetzer gGooskey after a bottle of whisky; Wheely Spindoktor while praying; Joytsar chopping wood; Bullgill milking a goat. If their face patterns hit the jackpot, I'll share the money with them.

Dixi.

• IonSaliuGenerator, version 7.0, January 2005 — The Best Random Numbers, Combinations Generator.

• Version 7.0 of the super generator implements superior inner (innate) filtering for lotto games, including Keno, Powerball, Mega-Millions, Euro-Millions. The Saliusian filters are founded on the most significant parameters of probability theory and statistics. You'll notice on your lotto cards. The patterns follow more closely the patterns of real lottery drawings. Just take 10+10 lottery cards (grids). Mark the last 10 drawings on 10 lotto grids. Put an "R" (for real) on the back of the grids, so that nobody can see the marks. Next, run the super generator, say, 21 times. Scroll to the middle of the combination file. Take any 10 combinations you want. Mark them on the other 10 lotto grids. Put a "G" (for generate) on the back of the grids, so that nobody can see the marks. Mix up the lotto cards, without seeing the back marks. Look at the grids. Pick 5 or 10 of them. You'll be around 50% between the cards showing the real lottery draws and the cards plotting the randomly generated lotto combinations. A real obliteration of the Koffotzuntx patterns theory!

• Download SKIPx.EXE from the free FTP downloads site.

Resources in Theory of Probability, Mathematics, Statistics, Combinatorics, Software.
See a comprehensive directory of the pages and materials on the subject of theory of probability, mathematics, statistics, combinatorics, plus software.

Theory of Probability: Best introduction, formulae, algorithms, software.

• Lotto Combination '1,2,3,4,5,6': Probability and Reality;
  ~ Consider the standard deviation as well!
• Probability, Odds of New York Lottery Draw 911 on September 11.
• Software to generate combinations and find the probability of a lottery drawing to match its date.
• Probability That Player Index N Draws Ticket Number N.
• Enigma: Encryption decryption, cipher, code breakers.
• Probability of perfect shapes in nature: rivers, mountains, trees.
• Coin tossing hits by date: heads = 1st day, tails = 2nd day.
• Randomizing: An Art of Scientific Philosophy, Science of Philosophical Art, Philosophy of Artistic Science.
• 1,2,3,4,5,6: Probable but not likely.
• Software and formulae to calculate lotto odds using the hypergeometric distribution probability.

Of interest:

• Fundamental Formula of Gambling (FFG).
• Mathematics of Fundamental Formula of Gambling.

Remember to check the free software downloads site:

• Probability, Mathematics, Statistics, Combinatorics Software.

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Comments:
: : Geometric regular patterns on lotto play slips cards grids. Randomness creates all those shapes of matter. Randomness also creates all those lottery combinations where '1,2,3,4,5,6' is noticeably missing! The same individual probability, but apparently, Randomness Almighty prefers certain shapes or combination. How about the graphical shapes created by random numbers on the grids of lotto play slips? Do such geometric patterns resemble perfect shapes? Or do they resemble shapes created by humans, such as drawings? In the 1980s WEB I read New York lottery officials express worries about geometric shapes or patterns created by the numbers in some lotto draws. They have been aware that many lottery players have played their picks in a manner that created geometric patterns on the play slips. There aren't too many regular, geometric shapes that lotto numbers can create. Therefore, a large number of players would play the same sets of lotto numbers. If such sets would hit the lotto jackpot, the jackpot would be depressingly meager. The main attraction of lotto games is, of course, big jackpots! I remember of all kinds of lotto systems based on geometric patterns. If we are in the Pisces zone, we must play geometric shapes resembling a fish or two, perhaps a shark. I name all such lotto systems the Koffotzuntz patterns. I didn't pay much attention to such lottery patterns and shapes until recently. First of all, lotto is numerical not graphical. The lottery draws numbers; it does not draw shapes or patterns. Secondly, the lottery is a phenomenon ruled by Randomness the Almighty. Therefore, the result cannot resemble a human act, such as drawing regular shapes. My local lottery, Pennsylvania lottery, uses the following formats: by 5 columns in the 5/39 lotto game; 9 rows by 8 columns in the 6/69 lotto game. Analysis of "Geometric, regular, patterns on lotto, lottery play slips, cards, grids, tickets." I assume other lotto games elsewhere use different grid formats. According to the Koffotzuntz patterns theory, the players must plot their lotto picks in a matter that creates meaningful geometric patterns on the cards. For example: crosses, swords, astral configurations, candles, parts of human body, money, animals, religious symbols, even dreams. A few lottery outlets where I've been playing are also eatery facilities. Many players leave their lotto play slips at the table. I plotted the last 5 Pennsylvania lottery draws. The 5/39 lotto game: 3 numbers in column 3; 2nd draw: 2 numbers in column 1, 2 numbers in column 2; 3rd draw: 3 numbers in column 4; 4th draw: 2 numbers in column 2, 2 numbers in column 3; 5th draw: 2 numbers in column 3, 2 numbers in columns 4; or, 3 numbers on line 2. I can't detect any meaningful pattern or shape. The 6/69 lotto game: 2 numbers in column 3; 2nd draw: 2 numbers in column 4, 2 numbers in column 5; 3rd draw: only one number in the same column, or on the same line; 4th draw: 2 numbers in column 3; 5th draw: 2 numbers in column 8. I can't detect any meaningful pattern or shape. Analyze, analyse Geometric, regular, patterns on lotto, lottery play slips, cards, grids, tickets. I can notice, however, some numeric patterns. The lotto-5 game can have regularly at least 2 numbers in the same column. The lotto-6 game does not have 3 numbers in the same column; 2 numbers in the same column is a more rare occurrence. I can only think now of introducing new restrictions in my loto programs. If the lottery software can create various grid formats and eliminate further the combinations with numbers that clump in the same column! I am thinking also of something else. Geometric or regular patterns on lotto play slips, cards, grids. What is the probability for a river to flow in straight line, all the way, without deviation? Randomness also creates all those lottery combinations where '1,2,3,4,5,6' is noticeably missing! The same individual probability, but apparently, Randomness Almighty prefers certain shapes; they are RANDOM. Only the humans create perfect shapes in very short lengths of time. Wherever self-aware intelligence exists, perfect shapes exist as well. I wonder why the gods in this Universe create such irregular, rugged shapes? Lotto players aim at geometric or regular patterns and shapes on the lotto play slips, grids when selecting their numbers. Pattern, lottery patterns, geometric, regular, shape, shapes, faces, randomness. Almighty, lotto, lottery, loto, combination, combinations, number, numbers. Column, columns, row, rows, draw, drawing, line, lines, human, humans. Play, slip, slips, card, grid, grids, googoos, fish, shark, numerical, numeric, jackpot, loterie, loteria, plot, plotting, astrology.

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