As we examine these three general classes of possible relationships we discover some
striking differences. In the adversary class, there is a net loss (loss of order). The
'parts' lose something, They are less together than they would be apart. Haskell called
conflictor's deficit"
. The neutral class reveals no change. They are the same
together as they would be apart (the order within is the same). However, in the
synergic class, there is a net gain(gain of order). The 'parts' gain something, they
are more together than they would be apart. Haskell called the synergic gain(the
gain of order)
in the synergic relationship the "cooperator's surplus".

We can now redraw our diagrams to include the conflictor’s deficitand the
cooperator’s surplus. We can represent the adversary lossas( - Z ), and the
synergic gainas( + Z ).This would alter our diagrams as follows:

Neutrality represents unchanging order

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Synergy represents increasing order

The 'part' is either unchanged by the relationship, injured by the relationship, or
benefited by the relationship. The relationship is either neutral, adversary, or
synergic. The effect can also be partial. There may be relationships that are partially
neutral, and/or partially adversary, and/or partially synergic.

Truth lies in eye of the beholder
For humans, each participant determines for himself whether a relationship is
synergic or adversary. This is determined from his point of view, and he cannot be
fooled. He is either more happy, more effective, more productive because of the
relationship; or he is less happy, less effective, less productive because of the
relationship, or he is unchanged by the relationship. The truth is in the eye of the
beholder.The effect can be partial. There may be relationships that are partially
synergic, and/or partially neutral, and/or partially adversary.

True Synergy
True synergy exists only when all 'parts' are benefited by the relationship True
synergy is WIN-WIN. True synergy is +,+. True synergy maximizes the synergic
gain
— maximizes (Z).

For humans, true synergyexists when all participants are more happy, more
effective, and more productive. True synergy maximizesthe cooperator’s
surplus.

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This is where our discussion ended in UCS•1-The Basics. But Haskell’s work went
much farther.

Haskell most important contribution may have been his development the Periodic
Coordinate System
. This system first appeared in 1940 as the Coaction Compass. It is
a geometric tool used to help visualize and graph the resultants of adversary, neutral,
and synergic relationships. Harold Cassidyexplains:

“The Periodic Coordinate System was first used to analyze Mendeleev’s
Periodic classification of the chemical elements. Mendeleev recognized a key
variable to categorizing the atomic elements was their atomic weight. Today,
later scientists standing on Medeleev’s shoulders have replaced atomic
weight
by the more operationally constant property atomic number.
Periodicity is displayed by the properties of the chemical elements when the
elements are arranged according to increasing atomic number. Haskell found
evidence that not only the Kingdom of Atoms, but that of Nuclei, of Plants, of

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Animals, and of cultures, displays a periodicity provided that the essential
variables are properly chosen. This choice depends on cybernetic analysis, and
its application leads directly to a sub pattern know as “Co-Action” ”11

It takes a small investment of time to understand, but once understood it becomes a
powerful tool for analyzing relationships. As example, I will analyze the relationship
between two humans, but Haskell used the Periodic Coordinate System (PCS) to
analyze relationships within all seven “kingdoms” — particles, atoms, molecules, geoid
systems, plants, animals, and humans. It can just as easily applied to groups of
animals or humans, communities or nations.

Haskell’s Periodic Coordinate Systemprovides a symbolic representation of the nine
possibilities whenever ‘parts’ relate with other ‘parts’ to form ‘wholes’ or unities, and
whenever choices are made by the ‘parts’ within the ‘whole’ or unity. This of course
applies equally well to Young’sStages ofProcessin Universe — Light, Particles,
Atoms, Molecules, Plants, Animals, and Humans.

When you are in relationship with another individual, the two of you function
scientifically as a single system. From the perspectic of synergic science, you and
the individual you are in relationship with form a “unity” — a “whole”. This is
regardless of your awareness or intention.

Let Xrepresent your condition both quanitatively and qualitatively at the beginning of
the relationship. Geometrically, we can represent your condition by a vector.

X

As for the other individual in this relationship, we will represent his condition both
quanitatively and qualitatively by the vector Y.

Y

11Harold Cassidy, Introduction to FULL CIRCLE: The Moral Force of Unified Science, Gordon and
Breach, New York, 1972

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At the beginning of a relationship the size of the vectors Xand Y, will usually differ. In
this example,the Xvector is longer meaning that X’s condition is greater than Y’s at
the beginning of the relationship, but this is arbitrary to this example.Now when X
and Yrelate, we represent their “union” as a “single” system. We geometrically sum
their vectors. This produces a co-Action vector that then represents the unity of their
relationship.

X

Y

+

=

Co-Action
Vector

We will come back to our co-Action Vector in a moment. But first let’s take a look at the
Periodic Coordinate System’s Xand Yaxis.

Y

X

Periodic Coordinate
System

At first glance it looks something like Newton’s Cartesian Coordinate system. .

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Y

X

-X

-Y

Newton’s
Cartesian Coordinate
System

Nonegative integers, the X-axisis left to right, and theY-axisfrom below to above.

Y

X

Periodic Coordinate
System

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Then place the co-Action Table over the Xand Yaxis of the Periodic Coordinate System.

Y

X

(+,+)

(-,+)

(-,-)

(+,-)

(0, +)

(0, -)

(-,0)

(+,0)

(0,0)

It is importantto be mindful that the minus signs represent loss(of order)and not

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