my pi code

"In her mind she thought she could hear one joyous shout amidst a clamor of other voices." Ellen Arroway has just received confirmation that the signal that has been picked up, is not 'local'. It's the first contact with extra terrestrials. It's a palimpsest.

A mindquake is a batched retrieval of memories from the past, assembled in a movie like linearity, that occurs in a fraction of a second as best I can explain it. The long strings of retrieved memories were specific, yet somehow each was visible at the time. The purpose of this page is to illustrate something I experienced in a flash of time in 1989 as best I can date it, I named it my 'pi' quake, and it was the fourth such event. I believed the first one had happened in the 10 days between July 31 and August 11, 1984 while the Los Angeles Olympic Games were played until after the second one happened in 1989. That one revealed that the first one, much smaller, had happened one night in 1982 while I waited for a square dance class to begin. It was a critical event, I remembered it and what it contained but I could not have understood it because so much had to happen, that had not yet happened.

I had begun to hear and see differently by that time, a very great change had slipped into my mind, in my personal life and my relationship with certain significant people who were not family members that I knew at that point in Time was a kind of relationship that was new to me: my 'thought' was different, my mind was different and I felt very unlike my normal self. . Everything merged as though designed long ago to happen just so.

Some information to begin with:

I was born 1-2-32. On 2-11-85 I drove through the security gates of the Boeing Fabrication division in Auburn, Washington for the first time. There was a 9 ft tall model of the pi symbol in the plaza that I was surprised to see. My red Datsun 210 had a license tab: ETW 651 and I reluctantly joined a union: IAM 751. All of these details, were just numbers, there was nothing significant, they were not linked in my mind, in any way. ETW 651 had a history because at first glance ETW transformed into Extra Terrestrial Woman. That had happened automatically in my thought. I noticed it and thought it was 'funny'. . Extra Terrestrial Woman 651 was amusing but meant nothing at that point. Later, other incidents happened that caused me to feel like a satellite; I had a sense of being maneuvered from afar: Later I saw a computer generated portrait of myself, using x and o's that I'd gotten in 1983 or thereabouts. It was just an image until much later, a few years had passed when I happened to look at it again. Then an association formed in my thought, that caused me to realize I had felt like a machine when the picture was constructed. Every picture I took during a two years period (19811983) was hazy, out of focus and I noticed this in the same way, later. What could have caused my 'camera' to photograph how I felt, hazy, out of focus? I wondered at such a relationship over such a span of Time.

The first block of decimals from Petr Beckmann's History of Pi, is a rectangle that contains the first 10 decimals of the first 10 hundreds... This is the only arrangement that brings certain numbers into neighborhood. Further down on this page I've given several different arrangements to verify that the numbers in this rectangle 'meet' only in this arrangement. The reason that's important is not easy to describe to anyone else but this page is an attempt to explain my 'pi' quake in 1989.

1415926535 8…

8214808651

4428810975

7245870066

3305727036

9833673362

0005681271

4201995611

5024459455

5982534904 ...

The Beginning of Pi (Your basic first 1000 digits) In this arrangement copied from Greg's' Page of Pi site, from which I took the first rectangle. It's the same one Petr Beckman used in The History of Pi. The first 1000 digits are arranged in 10 columns, marked with a space between each 10 decimals, thus each line contains 100 decimals.

This block is on the page that I was looking at when I had my 'pi' quake in 1989. What is a 'pi' quake? It's an enormous batch of information shaped around what I was looking at specifically at the moment. But it was formed by using memories from my past that were retrieved and presented like a 'movie' in a fraction of a second. This event was an unexpected, literally stunning revelation of a hidden thread of activity in my life that I could realize immediately had begun with my first memory on this planet. It was possible because I had learned by then, to recognize a presentation of a 'moebius twist mirroring' pattern that I would not have recognized my self, in the first 11 numbers, 31415926535. (The Fibonacci numbers, 1,1,2,3,5,8 are in the first 10 decimals) Seeing and understanding the 'moebius twist pattern' in those first 10 numbers was the result of a 'program' that had begun when I was about 9 years old. That's when an impulse that was not connected to anything I'd read or learned from someone else, caused me to do some trivial seeming action. I learned from the impulse which was at that point just a thought in my head: "..add the double numbers (the products) in each of the times tables." There's a hidden repeating pattern in each times tables, and I thought it quite interesting.

That impulse has caused me to see something or do something that no person ever was involved in.

The first 10 numbers are coded in several ways that just flipped in a rapid sequence into my mind. That first 'display' was followed by other relationships that no other person but me would ever notice or understand. I could not have any doubt after it that I was not imagining the meanings of what I had named 'second underlying contexts', a new kind of inner event that had begun to emerge in my mind in the two years prior to 1984. It was not easy to notice this 'inner event' because it happened so rapidly, that it took two years to be somewhat certain it was happening. Two events happened that caused me to understand what was happening. A rapid 'replay' of my thought occurred, 'batched' with no space between words. The 'replay' seemed to turn the thought around and 'speak' to me as a person would speak. This is important to keep in mind, it was new to me and it altered everything for more than a few years between 1984 and 1989, and even afterwards. Literally it is 'second sight'! It caused a kind of 'twinning' effect that caused lights at night to seem paired like eyes, somehow frightening. But that was also not easy to recognize until a few years of experience had made this 'effect' somewhat distinct.

After 1984 whatever was 'in' my head was as visible to me as any object outside of my body is visible, but the ability to relate to what I saw in my mind when it happened, did not exist until several years later. It's not easy to explain how an event has visibility in the mind, but that it cannot be related to eventually, but not 'now'. It has to be discovered as though it were in a different galaxy. A connection develops very, very slowly automatically, if anyone experiences anything similar to what I've experienced. It is not in a location where it can be spoken even then, although automatic writing is somehow available!

By 1989, I had become aware that the kind of event that I had named with my own term 'second underlying contexts' was what C. G. Jung had named 'meaningful coincidence. But prior to knowing anything about Jung's ideas I had become aware that Emanuel Swedenborg's writing had other names for the same kind of 'event'. It became obvious that whatever it was that Swedenborg and Jung had written about, it was embedded in Time as a pattern. It seems likely that in different times there were other words for the same kind of 'event'. I believe the word 'illustrations' in the Bible is about this kind of interpretation

This was actually the third major 'mindquake' I've had, because now I realize I've had several that I didn't recognize until years had passed. An important one happened in 1982, it was the first 'inner event' in which events from my past were 'retrieved' that had a symbolic relationship to what was happening at the time, in my real life!!! This relationship was not easy to notice and then have some faith in as a way to identify me, and in a real way 'speak' at me, by describing TO me, what was happening in my life!!! When my daughter and I stepped off a bus in downtown Paris I was filled with an understanding of the labor and suffering that built this city but it was in a form that was not as confusing or painful as it was in the beginning.

If you have seen the movie, Mercury Rising there's a scene where an autistic boy looks at a page in his new puzzle book. While he looks the numbers, symbols and letters on the page seem to shift about, then he goes to the phone, dials a number and says: "You are a stranger." This is a phone call nobody was supposed to ever make, but in a glance a code that was supposed to be unbreakable has been broken. About a year ago I looked for a definition and the origin of my name, Eldridge. The first link I clicked onto said that Eldritch was the original form of my name and it meant: 'strange'. "You are a stranger." had a special significance to me although it was later that I recognized this was an event that 'named' me specifically. This kind of 'coincidence' is quite specific in that attribute.

Unsuspectingly I looked in the index of The History Of Pi by Petr Beckmann for a reference then noticed two pages of decimals at the back of the book. At least 13 incidents had happened in the 6 months prior to that day, that caused me to be able to relate to what the 'shifting and rearrangements of the digits' in this rectangle revealed. They were just ordinary events until this day revealed their hidden significance. In addition to those incidents I had lived for 6 decades and had certain experiences relating to what I saw, so I was made aware of a connection through events I had not suspected were a 'hidden vein' of events, aimed towards the future.

1415926535 8…

8214808651

4428810975

7245870066

3305727036

9833673362

0005681271

4201995611

5024459455

5982534904 ...

Below are examples of different arrangements that can be made of the first 1,000 decimals of pi. But only one arrangement brings certain numbers into precise neighborhoods in that rectangle. If they were arranged in any other form, they would not have 'danced about' into a form that I recognized, that made relationships that were significant to me in 1989. The first one in 1984 was like an earth quake in that it opened up two 'fault lines' in the past, neither one of which was relevant to my real world life as a female, it exposed fault lines in a 'collective past'.. I didn't realize that until after several years of experiences because my first response in 1984 was a sense of having been tricked by someone I knew very well. In the first one I was suddenly 'given' information that linked to an old pattern that I had not experienced yet. It's a pattern that began with Eve when a real burden began to be carried by the female. The second 'fault line' was more personal, it began with my marriage and something my husband had said the first night we were married. "Have you said your prayers? That memory was followed by an inner display of stings of events taken from our past that told a story like a movie would, but in an incredibly small fraction unit of time. This 'display' and others that happened later were proof that any memory of my past can be retrieved, (regenerated is an appropriate word) assembled into a 'story' on a kind of movie like string that conveys information.

This one nearly caused me to faint because of the way it happened, so completely unexpected. I just happened to glance at the back of Petr Beckmann's book, History of Pi, looking for something in an index. For some reason I read the copyright statement and noticed at one point a 'back of the mind mental activity' that I had become familiar with by that time. This 'back of the mind activity' would require that I give a lot of background information for anyone else to understand it, but briefly it was as though some other observer in my mind was 'ruminating' about why 100,265 decimals were calculated rather than a rounded off number, such as 100,000, 100250. What a strange thing to notice, but this had happened in the past, very rarely in fact, as I read something. In addition I would have to write about a few incidents that had happened in the few months prior to this event concerning some numbers that I had noticed, gradually over a longer period of time. 651, 156; 256, 265 and 751. I was not aware of 'numerology' until after 1992 when I received a letter from Martin Gardner in reply to a letter I wrote to him in which he mentioned 'numerology'.

It was this 1989 event that linked backwards, all the way back through my life to the first thought I remembered having. Then a hidden 'thread of endeavor', a 'line of thought' that had been carried through my life was made quite distinct by a retrieval of specific memories related to an impulse. Certain events, seemingly very mundane and ordinary had happened as the result of an impulse, one that I could distinguish due to the fact that a 'thought' had occurred to me to do something and I'd responded without hesitation to that impulse. The activities of this one embedded impulse was made quite explicit in that 'mindquake'.

8888888888888888

The first arrangement is an unbroken string of digits. The next 3 arrangements have a space between each 10 decimals, but in different fonts. I've seen different arrangements, in groups of 3 decimals, in groups of 5 decimals. Different arrangements would never have created what I saw in the particular arrangement that Petr Beckman chose.

Take the time to examine the way a space between each 10 decimals marks off rectangular columns in the arrangement Petr Beckmann used in his History of Pi.

3.
1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679 8214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196 4428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273 7245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094 3305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912 9833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132 0005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235 4201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859 5024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303 5982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201...

Here is the expansion of arranged in groups of 50 digits
3.14159265358979323846264338327950288419716939937510 58209749445923078164062862089986280348253421170679 82148086513282306647093844609550582231725359408128 48111745028410270193852110555964462294895493038196 44288109756659334461284756482337867831652712019091 45648566923460348610454326648213393607260249141273 72458700660631558817488152092096282925409171536436 78925903600113305305488204665213841469519415116094 33057270365759591953092186117381932611793105118548 07446237996274956735188575272489122793818301194912 98336733624406566430860213949463952247371907021798 60943702770539217176293176752384674818467669405132 00056812714526356082778577134275778960917363717872 14684409012249534301465495853710507922796892589235 42019956112129021960864034418159813629774771309960 51870721134999999837297804995105973173281609631859 50244594553469083026425223082533446850352619311881 71010003137838752886587533208381420617177669147303 59825349042875546873115956286388235378759375195778 18577805321712268066130019278766111959092164201989

The Beginning of Pi (Your basic first 1000 digits) This is the same 1000 digits, in a smaller font, courier to make it easier to read. There are 15 columns now, thus 150 decimals are on each line.

The Beginning of Pi (Your basic first 1000 digits) This again is the same 1000 digits, arranged in a font that allows 110 decimals on each row, 11 columns.

The arrangement of 100 decimals in each row is the arrangement I first saw at the back of Peter Beckmann's History of Pi in which two pages contain the first 10,000 decimals of 100,265 decimals calculated in July 1962.

I read the book for no other reason than that the pi symbol was the Boeing company logo for their awards program, Pride In Excellence. The only 'angle' was that literally pi sounds like the initials, PIE. I had belonged to two small square dance clubs for about 9 years by the time 1984 scrolled through Time, and without awareness I had learned about a concept that governs not only squaredancing but the I Ching, chess, checker, ideas about quantum physics, and last but certainly not least, the idea of 'projection' in psychiatry. Projection is defined in an unusual form as 'self observation' twisted around; some inner material is experienced as though it is outside, as in the myth of Narcissus and Echo and perhaps in the story of Eve who heard a snake talk. In The Field of Dreams, it's a cornfield that 'talks'. Much has to be written about this mechanism, which creates what I named 'second underlying contexts' because new contexts are generated, irregardless of the former use of words, events and circumstances. There is a 'twist' involved that creates 'self reference'. The square dance set involves the interaction of opposites, in a particular kind of mirroring which I believed I'd discovered and named the 'moebius twist'.

The kind of 'mirroring' that I learned about in a very private form, was from noticing new 'thought' and being gripped by, governed by a distinctly new kind of 'attention' and curiosity about a strange 'difference' that did not actually alter any real thing. I began to grasp that the change was in my own mind, but there were individuals in my life then who gave every evidence of knowing what was developing, evolving in my 'thought'. This requires a lot of explanation, and I want to confine this to describing the 'pi quake'.

In the back of Petr Beckmann's History of Pi are two pages of pi's decimals. "The first 10,000 of 100,265 calculated in 1962..." reads the copyright acknowledgement which I read before looking at the first page. At first glance I noticed that the first line contained the number 265, which I'd just read and thought about because it seemed an 'odd' number. Why not an 'even' 100,000 or 100,200, or 100,250? My thought in that moment of reflection was connected to and derived from memories in the past to some specific memories and experiences in my past that at that point were not related to pi. Then I turned back to the first page of decimals.

The first glance settled on the numbers I'd just been 'reflecting about', 265 in the first line of decimals. Then a kind of 'shuffling' occurred.

In a flash of time the decimals in this arrangement generated an almost magical flow of 'data' that I had no problem remembering afterwards. That in itself is quite remarkable that I remembered so much. I saw the Fibonacci numbers, 1,1,2,3,5,8 in the first 10 decimals. I'd just read about them in the book. They formed a pattern by which a kind of transformation occurred instantly, but in a form I had learned about in a very private way that I had named the 'moebius twist' concept. 3. 14 15 92 65 3 followed by this new one: 3. 5 6 2 653 This had happened according to a 'rule' that I recognized. The numbers separated by the Fibonacci numbers were 'cross summed' on the left side of the center 2, but not on the right side and immediately I saw that now the numbers mirror from the center out: 356 2 653 The rule involved a 'moebius twist' in that the numbers 9 + 2 11, and 1 + 1 = 2, which implied more than one 'use' of the 92.

The moebius twist is a mirror image concept; a concept I had to discover, bit by bi. Then I named it believing I had discovered it! I'd learned of it while I struggled to learn challenge level square dancing when I had to learn to dance with 'phantom dancers' as though they were real people. The the 'instruction' had come very slowly when I was forced to try to 'visualize' in my head where I was, and where the 'phantom dancers' were as they moved about. They had to be 'acted with' as though they were actually there and with every step every dancers location changed! ! Phantoms added to the set was what initiated having to learn to visualize in my head, an almost indescribably difficult new place to try at age 55+ to enter.

There was also another worrisome fact: I puzzled over why people used the term 'mirror image' to describe the relationship of one half of the set to the other half. It was obviously not the normal kind of 'mirror image' where I would see my counterpart directly in front of me. She was beside the person in front of me! I found myself doing something odd one day: If you take a transparent strip and draw one half of a square dance formation facing the end of it, on the end of it, and do the same on the opposite end, then join the ends, this is a typical mirroring but it's not the relationships in the square dance set. But if the band is twisted one half turn, then joined the result is a legitimate picture of any square dance formation. I was astonished that day to realize that I had not understood the concept of a 'binary unit', that is where 2 = 1, or each couple is a unit, one a left hand, the other a right hand. They actually dance separately but the caller has to match each person to their original dancer by the end of the tip. There are 4 binary units in a set, but 8 individuals form one unit ( 8 = 1) who must do the right thing (whatever the caller chants) as though they were 1 or the dance collapses into embarrassing chaos.

The word 'concept' had come to mean something specific to me by then: a rule was added to a simple mainstream movement and it was suddenly difficult to do. One such 'concept' call creates imaginary people in the set who have to be tracked and danced with as they move through the sequence. I could not move when the caller chanted: "In your phantom set up...." At that point every dancer must be aware of the formation, of their position in the formation and their position in the genderless couple and the empty spots where the phantoms are at that moment. The next steps alter everything so this 'scanning' has to be repeated almost immediately. There are no males or female roles at that level. Having to learn to dance 'belle' and 'beaux' positions makes squaredancing very difficult to do, but concept calls extend the difficulty into a 'whole other level'! There was another 'concept' call that taught me something unrelated to square dancing: "once removed". AT some point I began to realize I was somehow added to what was in front of me in a peculiar 'bodiless' way, so I was experiencing everything from a 'once removed' viewing point. This requires more explanation but the effect was of being both audience and actor in a drama. This 'effect' changed later. 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888

I did not look for anything, these relationships exploded in a flash of time, but I remembered afterwards much of what was 'shown' to me.

After seeing '265' in the first line, I noticed 1,1,2,3,5,8 which I'd just read about in the book, these were the Fibonacci sequence.....

Then the first 6 decimals: 14 15 92 formed into 5,6,2. and in a flash I saw 56 2 65, a mirror reversal of the numbers.

Then I saw 3.56 2 653 when the whole number 3 was brought into relationship. The following may help understand:

1415926535 8… 1. The first 6 Fibonacci numbers are in the

8214808651 first 11 decimals. 1x1xx2xx35 8…

4428810975

7245870066 The numbers can be paired according to

3305727036 this form: 14 15 92 65 35 8 (92 is a twisted pair)

9833673362

0005681271 This means the numbers have a double use

4201995611 on the first level of coding. 9+2 = 11 5024459455 1 = 1 = 2

5982534904

14 15 xx 65 3x = x5 x6 xx 65 3x (3 = 1, counting by 3's) I see 651 in all directions, up and down,

82 14 xx x6 51 = x1 x5 xx x6 51 cross summed on the left side, literal on the right side. this is a pattern

x4 2x xx xx 75 = xx 6x xx xx 75 that repeated later in a different 'pi' event! It was even more amazing in a way.

xx xx xx xx x6 = xx xx xx xx x6

xx xx xx xx xx

I repeat myself but keep in mind that when I read the copyright statement on the last page. “100,265 decimals calculated in July 1961…” I noticed a different observer within me, that wondered about ‘265’, that it seemed an ‘odd’ number, why was it not rounded off to, 100,000 or 100,250. I 'looked at', this that seemed to do something 'odd'. This kind of ‘wondering’ has occurred a few times in the past. I believe I do not ‘generate it’, I watch it, listen to it, it seems to be me ‘wondering’, it seems to be thought of mine, self generated but I believe now this is the Other, the ‘kingdom’; Jung named it the ‘transcendental function’s operation’, the Self.

In the few weeks prior I’d had three unusual experiences relating to ‘265’, so they were still fresh in my mind.

The first line contains xxxxx265xx which I had ‘wondered about’ as being an ‘odd choice’. Then the 'slide show' began:

At a glance the first 6 Fibonacci numbers sprang into prominence:

1 1 2 35 8 (I had just read about them in The History Of Pi. My dad's birth date 52311 emerged, reversed

with the 32 a twisted pair. I did not look for this.)

A pairing in the first 10 decimals occurred, using a pattern of addition I’d learned from an impulse, when I was 9 years old: ‘add the double numbers across’ 14 = 5 15 = 6 9+2 = 11 = 2 6+5 = 11 = 1 . There were three layers to this one:

3. 14 15 92 65 35 8 = 3. X5 X 6 11 11 8 8

x 1 1 x 2 2 8 8 (5 + 6 = 11) (1 + 1 = 2) (1 + 1 + 2) 8 8 =

3. 2 2 2 8 8

3 8 8 = 11 = 2 =

2 2 2 2 = 8 = 2³

"Adding the numbers" in the product was 'taught' to me at age 9 by a 'thought', an impulse, not from reading a book. There are several different names for the same process that I became aware of privately when I was about 9 years old but I learned them later in life. I noticed that the multiplication tables of 9 had a strange point where everything reversed. 9, 18, 27, 36, 45, 54 63, 72 81. That seemed like a gift that made it easier to memorize them!

Modulo 9 is a mathematical term, meaning ‘divide a number by 9 and use the remainder if there is one. It’s used to test whether a number is divisible evenly by any number, and I’m using ‘modulo 9’ in this case, because 9 is the number I’m testing. I could ‘test’ modulo 5, or ‘mod 5’ or I could test ‘mod 6’ if 5 or 6 were the number I wanted to test for divisibility.

14 15 xx xx xx 5 6 XX 65 3X 5 6 XX 65 3X 5 6 65 1 651 backwards and forwards, up and down, coded on the

82 14 xx xx xx 1 5 XX XX X1 1 5 XX XX 51 1 5 51 left side, literal on the right side.

x4 2x xx xx xx X6 XX XX X5 X6 XX XX 75 6 75

xx xx xx xx xx XX XX XX X6 XX XX XX X6 6

xx xx xx xx xx

Notice 5,6,1 in several forms in the first five lines, after transforming according to the rules of modulo 9.

The first block again:

1415926535 8…

8214808651

4428810975

7245870066

3305727036

9833673362

0005681271

4201995611

5024459455

5982534904

The 'decoding' was automatic, I didn't look for it. I recognized in the left hand corner a pattern of familiar numbers, 561 and it repeated in the right hand corner! And the numbers mirrored 561 651, 156 in all permutations in the left corner. The right hand corner was differently arranged, but I saw the same numbers 653 that I had just noticed were mirrored in the first line, after the first 6 decimals were 'decoded'. The number 651 is at the end of the second row, it's formed in the last numbers of the second, third and fourth column. (I noticed 751 also, 157, 751 inside the 651, but at that point 751 meant nothing to me. I've belonged to a union, IAM 751 since 1985, but this fact did not become prominent until about 2 years later. The Chudnovsky episode.

14 15 xx 65 3x x5 x6 xx 65 3x Counting by '3's a 3 is the same as 1. The number 651 has a long string of events behind it, beginning

82 14 xx x6 51 x1 x5 xx x6 51 with a red Datsun 210 station wagon that I acquired in 1984 that was tabbed ETW 651 when I bought

x4 2x xx xx 75 xx 6x xx xx 75 it. It was not a vanity plate but my mind formed Extra Terrestrial Woman 651 at the first glance of the tab.

xx xx xx xx x6 xx xx xx xx x6 That kind of 'instantaneous' decoding of ETW had never happened to me except in familiar letters, FYI,

xx xx xx xx xx xx xx xx xx xx BYOB, etc.

xx xx xx xx xx xx xx xx xx xx

1415926535 8… 14xxxxxxxx 1 4 The numbers form mirrored pairs up and down: 1/4, 1/2 ,1/8

8214808651 82148xxxxx 8 2 14 1/2 up, down, across, backwards and forward, everywhere. .

4428810975 44288xxxxx 28 44 x 2 = 88 How odd?

7245870066 xxxxxxxxxx

3305727036 xxxxxxxxxx

9833673362 xxxxxxxxxx

0005681271 xxxxxxxxxx

4201995611 xxxxxxxxxx

5024459455 xxxxxxxxxx

5982534904 xxxxxxxxxx

There are several names for the same process that I became aware of privately when I was about 9 years old. I noticed that the multiplication tables of 9 had a strange point where everything reversed.

Modulo 9 is a mathematical term, meaning ‘divide a number by 9 and consider the remainder. It’s used to test whether a number is divisible evenly by any number, and I’m using ‘modulo 9’ in this case, because 9 is the number I’m testing. I could ‘test’ modulo 5, or ‘mod 5’ or I could test ‘mod 6’ if 5 or 6 were the number I wanted to test for divisibility.

14 15 xx xx xx 5 6 XX 65 3X 5 6 XX 65 3X

82 14 xx xx xx 1 5 XX X6 51 1 5 XX X6 51

x4 2x xx xx xx X6 XX XX X5 X6 XX XX 75

xx xx xx xx xx XX XX XX X6 XX XX XX X6

xx xx xx xx xx

Notice 5,6,1 in several forms in the first five lines, after transforming according to the rules of modulo 9. The associations with 751 came about later.