## SYNDEX I

by Iona Miller, (c)1999

## Synchrographics & the Auric Key

**"Every minute is counting now" .... Bucky Fuller**

**Retrocity is Synchronization.**

**It can be displayed graphically.**

**Minimal elements encode maximal information.**

**Abstract: SYNDEX identifies and demonstrates various properties of the base ten number field, such as the symmetrical distribution of prime numbers. The continuum can be viewed as both progressive and regressive. The key to the comprehensive analysis of general number behavior is found in the concept of "circular unity." Synchrographics has been systematically contrived to formally illustrate behavioral patterns that have successfully led to a general understanding of the fundamental elements of the geometrical nature of the base ten system. The graphic importance of the Holotomic Sequence is that circular symmetry is being conserved and may be enlisted as the fundamental reference key in the graphic investigation of number behavior. The primes are deployed in symmetrical interface only within these specific Holotomic domains. Here, the enigma of prime number distribution has been solved.**

**Synchrographics regards symmetry as a primary analytical aspect of reference, making the Syndex archetypal system of classes of numbers possible. The foundation of this system is palindromes and transpalindromes, yielding 12 classes of number. Palindromes, or binomial reflection numbers are neither purely accidental nor without significance. Transpalindromes are the reversal of any particular number exceeding a single digit (for example, 16 and 61).**

**Numeronomy, the laws relating to the essential structure and dynamics of number, is a new word for an extremely ancient science. This science, (based on the knowledge that the continuum contains a definite structural order with general laws that describe the nature of that order), has laws that relate to the general behavior of nature itself. Each number has both a geometrical and numerical identity. It is the outcome of Synchrographics: numbers speak for themselves through structure and behavior. The first concern of Synchrographics is maximum information expressed via minimal graphic elements. Correspondences, such as those between geometry, numbers, colors, and frequency of divisibility form an integral part of the system.**

**All mandalogs (number wheels) are the product of the systematic generation of the exact sequence of minimax factorization. They have the perfect retrograde feature by which the patterns generated in the first half of the spiral are reversed at midpoint and are reflected as a mirrored image in the second half of the spiral. Comprehending the universal nature of the transpalindromic function of number behavior is not easy. We tend to see the number chain as a unidirectional continuum, which is too linear for a synergetic perspective.**

**Revisioning the number continuum with the concept of simultaneous counterflow yields a more accurate picture. Remember, this is also happening in Post-quantum Physics under the rubric of quantum backflow. With large spans of number, the complex interrelationships become difficult to visualize without good graphics. Because of the octave nature of the base cycle there cannot be more than four consecutive transpalindromic pairs in a single symmetrical sequence, regardless of the amount of digits in each individual number.**

**We cannot contemplate numeracy without an automatic involvement with geometry. A triangle is an expression of the number three and a square is an expression of number four, i.e. number and geometry are two sides of the same coin. Therefore, Synchrographics was contrived to analyze the geometrical properties of number and conversely the numerical properties of geometry. In the proceedures that will be explained in the text, we discovered the key sequence (Holotomic Sequence) which consists of a series of key numbers or circular unities in the rhythmic wave.**

**Buckminster Fuller was very excited, and "filled with joy" over these revelations, and we hope you will be also. After all, numbers are what they are, not what we wish them to be. They will not do what they cannot do, i.e. show symmetries where none exist. Nor can they hide their inherent qualities forever from the astute devotee. Using a general systems theory approach, we employ metaphors from many disciplines to demonstrate how this perspective can be employed in other fields of investigation.**

LETTERS FROM R. BUCKMINSTER FULLER

**These letters, from R. Buckminster Fuller to Bob Marshall speak of his delight at the discoveries and graphics of Syndex. He found them so intriguing, he wanted to use them in a third revision of Synergetics.**

**February 11, 1980**

**Dear Mr. Marshall:**

**Thank you for your letter and support material on the mandala and the use of prime number 7 in circular unity. As you know, I have a great deal about that in SYNERGETICS number 1, but even more in SYNERGETICS, number 2 on page 460. I couldn't have been more interested in those pictures. The final number which is then the product of all the prime numbers up to 50 which takes care of all the numbers which occur in trigonometry plus the series of second power of all the numbers to fifty are unique and turn around at fifty to return to zero and vice-versa. There is a basic wave running through the second powering of all numbers up to 50 and return(ing) to zero. The wave series (see Column 3, pg. 768, SYN. 1) is 24 integers long. I'm confident that the circle consisting of the 71-integer number shown on page 460 is the number employed by Universe as the comprehensive circular unity by virtue of which all interoperation of all numbers will always come out in whole rational results.**

**I'm including a xerox of the way in which I arranged that number which discloses considerable symmetry in its componentation.**

**Warmly, faithfully,**

**Buckminster Fuller**

**enc**

jb

jb

**March 3,1981**

**Dear Bob Marshall:**

**Very vigorous applause your very intelligent, scientifically systematic, synchrograph evolved elucidations binomial symmetries, tantalizing manifestations of which prominently published both SYNERGETICS Volumes 1 and 2, which to me clearly related to several fundamentals: firstly, that number behavior of Universe operates independently of arbitrary modular congruence systems employed by varoius [sic] societies and cultures of historical humans, secondly, that nature is always operating inher own modular system of four progressively additive, then progressively subtractive event octaves with a ninth null event altogether consisting of an octave nine system, all of which relate physically to two four vertexed-each tetrahedra as the tuned in or tuned out minimum structural experience of Universe; thirdly, as Plato apparently realized long ago that the failure to include the prime number seven in the comprehensive quotient of cyclic unity rendered physiomathematical epistemology eternally baffling. Plato does not say why he is concerned with the number twenty five twenty, but it is easy to discover as the product of the conventional 360 degrees of a circle being multiplied by the prime number 7, the circle's 360 degrees having included the first three primes to wit, two and three and five, wherefore omission of the seven in the inherently octaved pythagorean physical demonstrations of musical note progressing of tensed strings rendered inherently all irrational. The cyclic calculating referenced to the Babylonianly adopted 360 degrees as the comprehensive quotient of nature's cyclic behaviors.**

**Your cyclic synchrographing work clarifies and simplifies this whole matter to an epochal degree. I am assuming that you have read both volumes of SYNERGETICS, else you would not have sent the exciting three pages of your work to me, which could not have been as easily accomplished--if at all--without the advent of the electronic computer--the number of calculations involved in exploring each intuitive insight being possibly too much to be accomplished in the long hand method of the B.C. world (Before Calculator). [Editor's note: but this is not so, since the whole work was accomplished without calculator or computer]. At any rate, your work fills me with joy. Would you be willing to have me publish this work in another edition of SYNERGETICS with full credit to you?**

**Faithfully,**

**Buckminster Fuller**

**Excerpt from "HOW LITTLE I KNOW" (for the Saturday Review Series: "What Have I Learned?"), by Buckminster Fuller.**

1966.

**"Tell me -**

In five thousand

Written words" -

Equivalent, at my oral rate,

To three quarters of an hour's discourse)

"What have you learned --

In your life time,"

Said Norman Cousins.

"That ought to be easy," said I.

In five thousand

Written words" -

Equivalent, at my oral rate,

To three quarters of an hour's discourse)

"What have you learned --

In your life time,"

Said Norman Cousins.

"That ought to be easy," said I.

**Three weeks have gone by -**

I recall that

Thirty eight years ago

I invented a routine

Somewhat similar to

Muscle development

Accomplished through

A day-by-day lifting

Of progressively heavier weights.

But my new

Intellectual routine

Dealt with the weightless process

Of human thought development

Which subject is

Known to scholars

As

That such words as Epistomology

Stop most of humanity

From pursuing

Such important considerations

As the development

Of the thought processes.

So my new discipline

Was invented for dealing

Even with the ephemeral

Which word means

As is for instance

The

That on successive days

I ask myself

A progressively larger

And more inclusive question

Which must be answered

Only in terms of

Experience.

Hearsaids, beliefs, axioms,

Superstitions, guesses, opinions

Were and are

All excluded

As answer resources

For playing my particular

Intellectual development game.

However, when lacking

Any possible experience clues

I saw that it was ineffectual

To attempt to answer

Such questions as for instance

"Why I?"

Or

"Why - - -

Anything?"

And because it was my experience

That some individuals

Proved as persistently faithful

In reporting their experiences to me

As were my own senses

The rules of my game permitted

My inclusion of such individuals'

Directly reported experiences

For use in my progressively

Greater and greater

Self-questioned. answering.

I recall that

Thirty eight years ago

I invented a routine

Somewhat similar to

Muscle development

Accomplished through

A day-by-day lifting

Of progressively heavier weights.

But my new

Intellectual routine

Dealt with the weightless process

Of human thought development

Which subject is

Known to scholars

As

*epistomology.*

And I have learnedThat such words as Epistomology

Stop most of humanity

From pursuing

Such important considerations

As the development

Of the thought processes.

So my new discipline

Was invented for dealing

Even with the ephemeral

Which word means

__Conceptual but weightless__--As is for instance

The

__concept__of__circularity__*.*

My new strategy requiredThat on successive days

I ask myself

A progressively larger

And more inclusive question

Which must be answered

Only in terms of

Experience.

Hearsaids, beliefs, axioms,

Superstitions, guesses, opinions

Were and are

All excluded

As answer resources

For playing my particular

Intellectual development game.

However, when lacking

Any possible experience clues

I saw that it was ineffectual

To attempt to answer

Such questions as for instance

"Why I?"

Or

"Why - - -

Anything?"

And because it was my experience

That some individuals

Proved as persistently faithful

In reporting their experiences to me

As were my own senses

The rules of my game permitted

My inclusion of such individuals'

Directly reported experiences

For use in my progressively

Greater and greater

Self-questioned. answering.