The Eight Planets

September 16, 2018

Now that Pluto has been kicked out of the League of Planets (poor Pluto!), with the eight remainders I can present the above diagram.

The Sun and the Moon, not planets either, are usually thought of as a pair. I’ll add them in by themselves for good measure.

Further Reading:





The Archic Matrix

September 13, 2018

Now that I am presenting sixteen-folds, let me briefly return to a subject I’ve mentioned previously. The Archic Matrix of Walter Watson and David Dilworth is a four-by-four matrix representing different aspects of the “personalities” of philosophers, determined by their writings. It is adapted from the Philosophical Semantics of philosopher Richard McKeon.

The four aspects of the Archic Matrix (also called Archic Variables) in this diagram are Perspective (upper left), Reality (lower left), Method (upper right), and Principle (lower right). The archic variable Perspective can have values Personal, Agonistic, Existential, and Creative, and similarly for the other three variables.

Each of the values of each of the variables is conditioned by one of the variables. For example, Personal is only conditioned by the Archic Variable Perspective, even though it is already a value of that variable. The value Agonistic is conditioned by the Archic Variable Method, Existential by Reality, and Creative by Principle.

Whereas the Myers-Briggs Type Indicator is a two-by-four matrix giving sixteen different combinations for its four personality “variables”, each having two values, the four-by-four Archic Matrix has four values for each of four variables and so gives 256 different combinations. It would be interesting if someone mapped the larger scheme into the smaller.

Further Reading:

Archic Matrix: Perspectives

Archic Matrix: Realities

Archic Matrix: Methods

Archic Matrix: Principles


The only work that seems to mention both the Archic Matrix and Myers-Briggs is as follows:

Mondo Secter / The Architectonics of Culture: A Critique, Modification, and Extension of Hofstede’s Study of Societal Culture with a Chinese-Based Typology, Ph.D. Dissertation, Simon Fraser University, August 2003

Secter is elsewhere mentioned to be completing an adaption of this dissertation (albeit long ago), called “The Architectonics of Culture and Personality: Six Core Dimensions of Who We Are”. It would useful to know anything else about this work. Updates, anyone?

[* 10.151]





The Myers-Briggs Type Indicator

September 7, 2018

I am not a number, I am a free man!

— Number Six from the 1960’s television series, The Prisoner

The Myers-Briggs Type Indicator (MBTI) is usually shown as a four-by-four grid of “personality types”. Rebel that I am, here is a triangular version for your personal edification or confusion.

Interestingly, some say that there is an association between the MBTI and Astrology. If they are being positive, they are seeing parallels between the personality pigeonholes of the two schemas. If they are being negative, they are saying that both classification systems are pseudo-science rubbish.

One might think that this is part of the larger discussion of a person being a “blank slate”, and whether we are determined by nature or nurture or a combination of the two, or are free to be who we desire to be.

Further Reading:

More Images of the MBTI:

Comparisons of MBTI and Astrology to chew on:






The Standard Model of Particle Physics

September 5, 2018

Until a few years ago, the Standard Model of particle physics had sixteen particles verified. Recently, the Higgs Boson was added, so just imagine another triangle hanging off somewhere. Or, alternately, one may combine the Z and W Bosons when adding the Higgs, so a sixteen-fold scheme is maintained.

Also, the Standard Model is much more than a list of these seventeen particles and their attributes. Not shown are a plethora of equations that describe the properties of these entities and their interactions.

I admit that this diagram is not very useful for scientific knowledge, but the reader may contemplate it as they please.

Further Reading:




The Diurnal Cycle and Chinese Hours

August 23, 2018

Long ago in a distant land, I, Aku… wait… let me start over.

Long ago in China, the diurnal cycle of day, dusk, night, and dawn was divided into twelve two-hour hours and each hour was named after an animal in the Chinese Zodiac. The Hour of the Rat was from 11 P.M. to 1 A.M., and so on. These animals were also assigned directions: Rat being North, Ox being NNE, etc. Many are familiar with the animals having “years”, so if you were born in a certain animal’s year, you might have certain attributes. These twelve animals are certainly multi-purpose!

Further Reading:




The Seasons and the Zodiac

August 22, 2018

This isn’t a bad little diagram of the four seasons along with the twelve zodiac names and symbols. However, it might be oriented wrong by convention or going clockwise instead of counter-clockwise.  Interestingly, old horoscope charts that show what was in the sky (the positions of the zodiac stars and the eight or nine planets in regards to the twelve “astrological houses”) at the time of a person’s birth were shown using the outside ring of twelve triangles instead of the more familiar circle that is used today. The inner square might be for notes or some nice drawing.

Further Reading:





Ohm’s Law

August 21, 2018

Unfortunately it has finally come to this: enter the sixteenfolds!

  • Voltage = V = P/I = sqrt(P·R) = I·R
  • Resistance = R = V^2/P = V/I = P/I^2
  • Current = I = V/R = sqrt(P/R) = P/V
  • Power = P = I^2·R = V·I = V^2/R

Further Reading:

[*8.4, *8.5, *8.8-8.10, *10.62, *10.112]



Free Four

July 11, 2018

One, two, free, four!

— Pink Floyd

There ain’t no such thing as a free lunch.

— Origin unknown

In the United States of America we celebrated freedom on July 4th. Here are four free or not so free things.

It is useful to consider Richard McKeon’s words on freedom from his Philosophic Semantics and Philosophic Inquiry:

The question, What is freedom? is one of the recurrent ambiguous questions of philosophy which has opened up new dimensions in contemporary thought and action. It is a significant question because the initial interpretation, “freedom is the absence of external impediments to action,” focuses attention on the need to remove the ambiguities of “absence”, “external”, “impediments”, and “actions” and the growing host of ambiguities in each clarifying statement. The semantic scheme constructed from the modes of thought sets forth, thus far (see chart p.253), three sets of determinations of the question, What is freedom? What is freedom in fact or interpretation, What things are free?; What is freedom in thought or method, What property do free things share?; What is freedom in being or principle, What are the grounds of the possibility or the actuality of freedom? The question takes on a vast scope of meanings under these distinctions; and since a complete interpretation of the question makes use of all four semantic headings, the number is increased by the number of possible combinations of the four. The indefinitely large number of possible meanings is the source of the richness of philosophic inquiry, for each interpretation may be used as the hypothesis for further investigation.

Further Reading:


Four Freedoms






The Eisenhower Matrix

July 7, 2018

What is important is seldom urgent and what is urgent is seldom important.

— Dwight Eisenhower, 34th President of the USA.

For your self improvement, here is a simple two by two matrix that can help you decide how to prioritize your “To Do” list. Sort everything into four groups, depending on whether it is important or not, and whether it is urgent or not:

  • Important & Urgent : Do First
  • Not Important & Urgent : Delegate
  • Important & Not Urgent : Do Later
  • Not Important & Not Urgent : Eliminate

Further Reading:

Other images of the Eisenhower Matrix:






July 3, 2018

Soon it will be Tanabata (七夕) in Japan on July 7th.

Make a wish!

  • Orihime: 織姫
  • Hikoboshi: 彦星
  • Vega: 織女星
  • Altair: 牽牛星
  • Deneb: デネブ
  • Amanogawa (Milky Way): 天の川 or 銀河?

Further Reading:





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