Mathematical Discovery: Model G has its own Functional Dichotomy system, Elemental Dichotomy system and Type Dichotomy system!

Recently, I discovered a new system of functional/positional dichotomies for Socionics Model G. Alongside that, I discovered a new system elemental dichotomies that are compatible with these functional/positional dichotomies (since the classical Model A elemental dichotomies aren't compatible with these new Gulenko-Newman dichotomies). I also discovered (several years ago) how an existing set of type dichotomies, the Tencer-Minaev dichotomies, creates a unique system of 35 small group systems (independent from the 35 Reinin small group systems) which describes the workings of Socionics Model G. If any of those terms confuse you, don't worry, since in this article I will give some references that will make it easy to understand them. This post will not prove the validity of my discoveries; if you want the proof, see this much longer and more thorough encyclopedia (https://varlawend.blogspot.com/2023/06/encyclopedia-of-model-g-and-model.html). This article is only going to present the dichotomy systems and interpretations that I discovered, and compare them briefly to their more familiar counterparts in Model A.

Note: I might update the article with more pictures soon to make it more easily understandable.

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A New System of Functional/Positional Dichotomies

If you are unfamiliar with the functional/positional dichotomies of Socionics, then please read this article from WikiSocion (https://www.wikisocion.net/en/index.php/Function_dichotomies). It will show you what the functional/positional dichotomies are in Model A, and what they mean. I discovered a new system of functional/positional dichotomies for Model G which I am calling the Gulenko-Newman dichotomies (since Victor Gulenko contributed at least as much to them with his own research). Here I'll show what the dichotomies are (based on how they divide the position numbers in Model G, just like you saw happen with Model A in the article above) and show what blockings they form.

Gulenko-Newman Functional/Positional Dichotomies (Under Model G names and numbers)

Opening/Closing (corresponds to Mental/Vital in Model A):

- Opening: 1, 3, 5, 7

- Closing: 2, 4, 6, 8

Stable/Unstable (corresponds to Accepting/Producing in Model A):

- Stable: 1, 3, 6, 8

- Unstable: 2, 4, 5, 7

Externality/Internality (corresponds to Bold/Cautious in Model A):

- Externality: 1, 2, 3, 4

- Internality: 5, 6, 7, 8

Energetic/Informational (new):

- Energetic: 1, 2, 5, 6

- Informational: 3, 4, 7, 8

Excitable/Inhibitable (new):

- Excitable: 1, 4, 5, 8

- Inhibitable: 2, 3, 6, 7

Impressionable/Unimpressionable (new):

- Impressionable: 1, 4, 6, 7

- Unimpressionable: 2, 3, 5, 8

Tensioned/Relaxed (new):

- Tensioned: 1, 2, 7, 8

- Relaxed: 3, 4, 5, 6

Note: Names could possibly be changed soon if a better interpretation becomes available, since some of these are fairly new or not used a lot.

... ... ... ...

Gulenko-Newman Functional/Positional Sets of Blockings (Under Model G names and position numbers)

Temperament Blocking Set:

- Opening/Closing

- Stable/Unstable

- Externality/Internality

- 1+3: Opening, Stable, Externality

- 5+7: Opening, Unstable, Internality

- 6+8: Closing, Stable, Internality

- 2+4: Closing, Unstable, Externality

Revision Blocking Set (these are the 4 vertical dimension blocks of Model G):

- Opening/Closing

- Energetic/Informational

- Excitable/Inhibitable

- 1+5: Opening, Energetic, Excitable

- 3+7: Opening, Informational, Inhibitable

- 2+6: Closing, Energetic, Inhibitable

- 4+8: Closing, Informational, Excitable

Cross-Revision Blocking Set:

- Opening/Closing

- Tensioned/Relaxed

- Impressionable/Unimpressionable

- 1+7: Opening, Tensioned, Impressionable

- 3+5: Opening, Relaxed, Unimpressionable

- 2+8: Closing, Tensioned, Unimpressionable

- 4+6: Closing, Relaxed, Impressionable

Diagonal Blocking Set:

- Stable/Unstable

- Energetic/Informational

- Impressionable/Unimpressionable

- 1+6: Stable, Energetic, Impressionable

- 3+8: Stable, Informational, Unimpressionable

- 2+5: Unstable, Energetic, Unimpressionable

- 4+7: Unstable, Informational, Impressionable

Cross-Diagonal Blocking Set:

- Stable/Unstable

- Excitable/Inhibitable

- Tensioned/Relaxed

- 1+8: Stable, Excitable, Tensioned

- 3+6: Stable, Inhibitable, Relaxed

- 4+5: Unstable, Excitable, Relaxed

- 2+7: Unstable, Inhibitable, Tensioned

Order Blocking Set (these are blocks like Social Mission/Self-Affirmation/Social Adaptation/Inflation):

- Externality/Internality

- Energetic/Informational

- Tensioned/Relaxed

- 1+2: Externality, Energetic, Tensioned

- 3+4: Externality, Informational, Relaxed

- 5+6: Internality, Energetic, Relaxed

- 7+8: Internality, Informational, Tensioned

Cross-Order Blocking Set:

- Externality/Internality

- Excitable/Inhibitable

- Impressionable/Unimpressionable

- 1+4: Externality, Excitable, Impressionable

- 2+3: Externality, Inhibitable, Unimpressionable

- 5+8: Internality, Excitable, Unimpressionable

- 6+7: Internality, Inhibitable, Impressionable

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A New System of Elemental Dichotomies

This is exactly the same as the last section, just about the elemental dichotomies I discovered instead of the functional/positional one's. Here is the Model A analog, in much the same way, which you can use to familiarize yourself with the concept if it is new to you (https://www.wikisocion.net/en/index.php/Information_elements#Information_Element_Dichotomies). The second section of this article by Victor Gulenko might also serve as a good explanation, since that last one is a little sparse (https://web.archive.org/web/20140410022344/http://socionics.kiev.ua/articles/methodology/ischez/). Now I'll just show the new Model G versions of the dichotomies and blockings. The letters "HEF" refer to the high energy functions of the listed types in Model G:

Gulenko/Newman Elemental Dichotomies

Static/Dynamic:

- Static: Ne, Se, Ti, Fi

- Dynamic: Ni, Si, Te, Fe

Irrational/Rational:

- Irrational: Ne, Se, Ni, Si

- Rational: Ti, Fi, Te, Fe

Extroverted/Introverted:

- Extroverted: Ne, Se, Te, Fe

- Introverted: Ni, Si, Ti, Fi

LII+EIE HEF/ESI+LSE HEF:

- LII+EIE HEF: Ne, Ni, Fe, Ti

- ESI+LSE HEF: Se, Si, Te, Fi

LIE+EII HEF/ESE+LSI HEF:

- LIE+EII HEF: Ne, Ni, Te, Fi

- ESE+LSI HEF: Se, Si, Fe, Ti

ILE+SLI HEF/SEE+IEI HEF:

- ILE+SLI HEF: Ne, Si, Te, Ti

- SEE+IEI HEF: Se, Ni, Fe, Fi

IEE+SEI HEF/SLE+ILI HEF:

- IEE+SEI HEF: Ne, Si, Fe, Fi

- SLE+ILI HEF: Se, Ni, Te, Ti

In the future, new names can be made for these dichotomies which are more descriptive, but current one’s are used more for clarity of reference.

... ... ... ...

Gulenko/Newman Elemental Sets of Blockings

Temperament Blocking Set:

- Static/Dynamic

- Irrational/Rational

- Extroverted/Introverted

- Ne+Se: Static, Irrational, Extroverted

- Ti+Fi: Static, Rational, Introverted

- Ni+Si: Dynamic, Irrational, Introverted

- Te+Fe: Dynamic, Rational, Extroverted

Asking Revision Blocking Set:

- Static/Dynamic

- LII+EIE HEF/ESI+LSE HEF

- ILE+SLI HEF/SEE+IEI HEF

- Ne+Ti: Static, LII+EIE HEF, ILE+SLI HEF

- Se+Fi: Static, ESI+LSE HEF, SEE+IEI HEF

- Ni+Fe: Dynamic, LII+EIE HEF, SEE+IEI HEF

- Si+Te: Dynamic, ESI+LSE HEF, ILE+SLI HEF

Declaring Revision Blocking Set:

- Static/Dynamic

- LIE+EII HEF/ESE+LSI HEF

- IEE+SEI HEF/SLE+ILI HEF

- Ne+Fi: Static, LIE+EII HEF, IEE+SEI HEF

- Se+Ti: Static, ESE+LSI HEF, SLE+ILI HEF

- Ni+Te: Dynamic, LIE+EII HEF, SLE+ILI HEF

- Si+Fe: Dynamic, ESE+LSI HEF, IEE+SEI HEF

Irrational Extinguishment Rational Duality Diagonal Blocking Set:

- Irrational/Rational

- LII+EIE HEF/ESI+LSE HEF

- LIE+EII HEF/ESE+LSI HEF

- Ne+Ni: Irrational, LII+EIE HEF, LIE+EII HEF

- Se+Si: Irrational, ESI+LSE HEF, ESE+LSI HEF

- Fe+Ti: Rational, LII+EIE HEF, ESE+LSI HEF

- Te+Fi: Rational, ESI+LSE HEF, LIE+EII HEF

Irrational Duality Rational Extinguishment Diagonal Blocking Set:

- Irrational/Rational

- ILE+SLI HEF/SEE+IEI HEF

- IEE+SEI HEF/SLE+ILI HEF

- Ne+Si: Irrational, ILE+SLI HEF, IEE+SEI HEF

- Se+Ni: Irrational, SEE+IEI HEF, SLE+ILI HEF

- Te+Ti: Rational, ILE+SLI HEF, SLE+ILI HEF

- Fe+Fi: Rational, SEE+IEI HEF, IEE+SEI HEF

Negativist Order Blocking Set:

- Extroverted/Introverted

- LII+EIE HEF/ESI+LSE HEF

- IEE+SEI HEF/SLE+ILI HEF

- Ne+Fe: Extroverted, LII+EIE HEF, IEE+SEI HEF

- Se+Te: Extroverted, ESI+LSE HEF, SLE+ILI HEF

- Ni+Ti: Introverted, LII+EIE HEF, SLE+ILI HEF

- Si+Fi: Introverted, ESI+LSE HEF, IEE+SEI HEF

Positivist Order Blocking Set:

- Extroverted/Introverted

- LIE+EII HEF/ESE+LSI HEF

- ILE+SLI HEF/SEE+IEI HEF

- Ne+Te: Extroverted, LIE+EII HEF, ILE+SLI HEF

- Se+Fe: Extroverted, ESE+LSI HEF, SEE+IEI HEF

- Ni+Fi: Introverted, LIE+EII HEF, SEE+IEI HEF

- Si+Ti: Introverted, ESE+LSI HEF, ILE+SLI HEF

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A New System of Small Groups For Model G (Derived from Tencer-Minaev dichotomies)

In much the same way as last time, I'll cite a WikiSocion article here to familiarize you with the concept of small groups if you aren't already familiar (https://www.wikisocion.net/en/index.php/Small_groups). This page is very well-illustrated and thorough, and also lists a helpful encyclopedia of all small groups generated by the Reinin dichotomies, the most widely known dichotomy system for the Socionics types. It will be helpful even to experienced Socionics practitioners. If you are unfamiliar with the Reinin dichotomies, here is another resource on it (https://www.wikisocion.net/en/index.php/Reinin_dichotomies).

In 2011, Ibrahim Tencer discovered a new set of dichotomies for Socionics types, which was apparently discovered by another Eastern Socionist named Yuri Minaev at some point. Tencer details his own discovery in this paper here, which may only be accessible if you have a lot of familiarity with higher mathematics (https://www.sedecology.com/math). Thus, I currently call these dichotomies the Tencer-Minaev dichotomies. They work with the Sociotypes in exactly the same structural way as the 15 Reinin dichotomies (and even share 7 dichotomies), and they are as follows:

Tencer-Minaev Dichotomies

Extroverted/Introverted

Irrational/Rational

Static/Dynamic

Democratic/Aristocratic

Positivist/Negativist

Process/Result

Asking/Declaring

1stAlpha/1stGamma

5thAlpha/5thGamma

1stDelta/1stBeta

5thBeta/5thDelta

1stDetached/1stInvolved

5thDetached/5thInvolved

1stImplicit/1stExplicit

5thExplicit/5thImplicit

The designations "1st" and "5th" refer to the 1st and 5th functions in Model G. So, for example, a type that is "5thDetached" would have a Demonstrative function that is Ti, Te, Ni or Ne (since those are the "detached" functions). The 7 dichotomies shared by the systems (which I listed first for the sake of convenience) are called Orbital dichotomies, and they will be important in the next section. The last 8 listed are the new dichotomies that were discovered by Ibrahim Tencer and Yuri Minaev. Just as the Reinin dichotomies produce 35 small group systems which describe the types by grouping them into 4 types that share a similar property (like temperament, club a.k.a. activity orientation and cognitive style), so do the Tencer-Minaev dichotomies, and this is where these lesser known dichotomies explain something about Model G (which the Reinin dichotomies don't explain).

They share 7 small group systems (you can check and find these same 7 small group systems in the WikiSocion small groups page I linked), which makes sense since they are based on the 7 Orbital dichotomies shared by the Reinin and Tencer-Minaev dichotomy systems. I give each small group a description in parentheses next to the three dichotomies that generate it (these descriptions may be improved with more research):

Orbital Small Group Systems (Reinin + Tencer-Minaev)

• Temperament
  • Extroverted, Irrational, Static (Flexible-Maneuvering)
    • ILE SLE SEE IEE
  • Extroverted, Rational, Dynamic (Linear-Assertive)
    • ESE EIE LIE LSE
  • Introverted, Irrational, Dynamic (Receptive-Adapative)
    • SEI IEI ILI SLI
  • Introverted, Rational, Static (Balanced-Stable)
    • LII LSI ESI EII
• Positivity Groups
  • Extroverted, Democratic, Positivist (Approaching)
    • ILE ESE SEE LIE
  • Extroverted, Aristocratic, Negativist (Shaping)
    • EIE SLE LSE IEE
  • Introverted, Democratic, Negativist (Abstaining)
    • SEI LII ILI ESI
  • Introverted, Aristocratic, Positivist (Integrating)
    • LSI IEI EII SLI
• Order Rings
  • Extroverted, Process, Asking (Revolutionary)
    • ILE EIE SEE LSE
  • Extroverted, Result, Declaring (Transformative)
    • ESE SLE LIE IEE
  • Introverted, Process, Declaring (Evolutionary)
    • SEI LSI ILI EII
  • Introverted, Result, Asking (Involutionary)
    • LII IEI ESI SLI
• Stress Resistance
  • Irrational, Democratic, Process (Stress-Trained)
    • ILE SEI SEE ILI
  • Irrational, Aristocratic, Result (Stress-Resistant)
    • SLE IEI IEE SLI
  • Rational, Democratic, Result (Stress-Braked)
    • ESE LII LIE ESI
  • Rational, Aristocratic, Process (Stress-Absorbant)
    • EIE LSI LSE EII
• Activity Orientation Shift
  • Irrational, Positivist, Asking (Beneficiaries)
    • ILE IEI SEE SLI
  • Irrational, Negativist, Declaring (Alternatives)
    • SEI SLE ILI IEE
  • Rational, Positivist, Declaring (Streamliners)
    • ESE LSI LIE EII
  • Rational, Negativist, Asking (Iconoclasts)
    • LII EIE ESI LSE
• Challenge-Response Groups
  • Static, Democratic, Asking (Reorienters)
    • ILE LII SEE ESI
  • Static, Aristocratic, Declaring (Foundationalists)
    • LSI SLE EII IEE
  • Dynamic, Democratic, Declaring (Slackeners)
    • SEI ESE ILI LIE
  • Dynamic, Aristocratic, Asking (Sharpeners)
    • EIE IEI LSE SLI
• Revision Rings (Cognitive Styles)
  • Static, Positivist, Process (Causal-Determinist)
    • ILE LSI SEE EII
  • Static, Negativist, Result (Holographic-Panoramic)
    • LII SLE ESI IEE
  • Dynamic, Positivist, Result (Vortical-Synergetic)
    • ESE IEI LIE SLI
  • Dynamic, Negativist, Process (Dialectical-Algorithmic)
    • SEI EIE ILI LSE

Naturally, these 7 small group systems are relevant both to Model A and Model G, so nothing new here.

... ... ... ...

12 more of the small group systems are called Mixed Small Group Systems. For all of the sets of 4 types listed in these Mixed Systems, you will also find that they already exist in the small groups I already linked to you from WikiSocion (which were generated from Reinin dichotomies). Although all these small groups already exist in the Reinin dichotomy system, they are all grouped with different sets of 4 types in the Tencer-Minaev small group system, so overall these new small group systems are a little bit different. To give an example of what I'm talking about, the small group "ILE LII ILI LIE" is paired with other small groups representing the various "clubs" of Socionics in the Reinin dichotomies. However, this same small group of types is paired with some different groups in the Tencer-Minaev dichotomies which represent something about Detached vs Involved functions, such as "LSI IEI LSE IEE" (which have all their Detached elements as "Inert"), as you will see below:

Mixed Small Group Systems (Tencer-Minaev)

• Dual Axis (Democratic Elements)
  • Democratic, 1stAlpha, 5thAlpha (Alpha Dualities NOT Informational + Inhibitable, Gamma Dualities NOT Energetic + Excitable)
    • ILE SEI ESE LII
  • Democratic, 1stGamma, 5thGamma (Gamma Dualities NOT Informational + Inhibitable, Alpha Dualities NOT Energetic + Excitable)
    • SEE ILI LIE ESI
  • Aristocratic, 1stAlpha, 5thGamma (Alpha Dualities NOT Informational + Excitable, Gamma Dualities NOT Energetic + Inhibitable)
    • EIE LSI IEE SLI
  • Aristocratic, 1stGamma, 5thAlpha (Gamma Dualities NOT Informational + Excitable, Alpha Dualities NOT Energetic + Inhibitable)
    • SLE IEI LSE EII
• Dual Axis (Aristocratic Elements)
  • Democratic, 1stDelta, 5thBeta (Delta Dualities NOT Informational + Excitable, Beta Dualities NOT Energetic + Inhibitable)
    • ILE SEI LIE ESI
  • Democratic, 1stBeta, 5thDelta (Beta Dualities NOT Informational + Excitable, Delta Dualities NOT Energetic + Inhibitable)
    • ESE LII SEE ILI
  • Aristocratic, 1stDelta, 5thDelta (Delta Dualities NOT Informational + Inhibitable, Beta Dualities NOT Energetic + Excitable)
    • LSE EII IEE SLI
  • Aristocratic, 1stBeta, 5thBeta (Beta Dualities NOT Informational + Inhibitable, Delta Dualities NOT Energetic + Excitable)
    • EIE LSI SLE IEI
• Activity Orientation Axis (Democratic Elements)
  • Democratic, 1stDetached, 5thDetached (Detached NOT Informational + Inhibitable, Involved NOT Energetic + Excitable)
    • ILE LII ILI LIE
  • Democratic, 1stInvolved, 5thInvolved (Involved NOT Informational + Inhibitable, Detached NOT Energetic + Excitable)
    • SEI ESE SEE ESI
  • Aristocratic, 1stDetached, 5thInvolved (Detached NOT Energetic + Inhibitable, Involved NOT Informational + Excitable)
    • LSI IEI LSE IEE
  • Aristocratic, 1stInvolved, 5thDetached (Involved NOT Energetic + Inhibitable, Detached NOT Informational + Excitable)
    • EIE SLE EII SLI
• Activity Orientation Axis (Aristocratic Elements)
  • Democratic, 1stImplicit, 5thExplicit (Implicit NOT Energetic + Inhibitable, Explicit NOT Informational + Excitable)
    • ILE ESE ILI ESI
  • Democratic, 1stExplicit, 5thImplicit (Explicit NOT Energetic + Inhibitable, Implicit NOT Informational + Excitable)
    • SEI LII SEE LIE
  • Aristocratic, 1stImplicit, 5thImplicit (Implicit NOT Informational + Inhibitable, Explicit NOT Energetic + Excitable)
    • EIE IEI EII IEE
  • Aristocratic, 1stExplicit, 5thExplicit (Explicit NOT Informational + Inhibitable, Implicit NOT Energetic + Excitable)
    • LSI SLE LSE SLI
• High/Low Energy Dual Axis
  • Irrational, 1stAlpha, 1stDelta (Peripheral Energetic/Central Informational)
    • ILE SEI IEE SLI
  • Irrational, 1stGamma, 1stBeta (Central Energetic/Peripheral Informational)
    • SLE IEI SEE ILI
  • Rational, 1stAlpha, 1stBeta (Ascending Energetic/Descending Informational)
    • ESE LII EIE LSI
  • Rational, 1stGamma, 1stDelta (Descending Energetic/Ascending Informational)
    • LIE ESI LSE EII
• High/Low Brakes Dual Axis
  • Irrational, 5thAlpha, 5thBeta (Ascending Excitable/Descending Inhibitable)
    • ILE SEI SLE IEI
  • Irrational, 5thGamma, 5thDelta (Descending Excitable/Ascending Inhibitable)
    • SEE ILI IEE SLI
  • Rational, 5thAlpha, 5thDelta (Peripheral Excitable/Central Inhibitable)
    • ESE LII LSE EII
  • Rational, 5thGamma, 5thBeta (Central Excitable/Peripheral Inhibitable)
    • EIE LSI LIE ESI
• High/Low Brakes Redemption Axis
  • Irrational, 1stDetached, 1stImplicit (Intuition Excitable/Sensing Inhititable)
    • ILE IEI ILI IEE
  • Irrational, 1stInvolved, 1stExplicit (Sensing Excitable/Intuitive Inhibitable)
    • SEI SLE SEE SLI
  • Rational, 1stDetached, 1stExplicit (Logic Excitable/Ethics Inhibitable)
    • LII LSI LIE LSE
  • Rational, 1stInvolved, 1stImplicit (Ethics Excitable/Logic Inhibitable)
    • ESE EIE ESI EII
• High/Low Energy Redemption Axis
  • Irrational, 5thDetached, 5thExplicit (Logic Energetic/Ethics Informational)
    • ILE SLE ILI SLI
  • Irrational, 5thInvolved, 5thImplicit (Ethics Energetic/Logic Informational)
    • SEI IEI SEE IEE
  • Rational, 5thDetached, 5thImplicit (Intuition Energetic/Sensing Informational)
    • LII EIE LIE EII
  • Rational, 5thInvolved, 5thExplicit (Sensing Energetic/Intuition Informational)
    • ESE LSI ESI LSE
• Dual Axis (Asymmetric Process Passionarity Result Centrality)
  • Process, 1stAlpha, 5thBeta (Ascending NOT Informational + Inhibitable, Centrality NOT Energetic + Inhibitable)
    • ILE SEI EIE LSI
  • Process, 1stGamma, 5thDelta (Descending NOT Informational + Inhibitable, Peripherality NOT Energetic + Inhibitable)
    • SEE ILI LSE EII
  • Result, 1stAlpha, 5thDelta (Peripherality NOT Informational + Inhibitable, Descending NOT Energetic + Inhibitable)
    • ESE LII IEE SLI
  • Result, 1stGamma, 5thBeta (Centrality NOT Informational + Inhibitable, Ascending NOT Energetic + Inhibitable)
    • SLE IEI LIE ESI
• Dual Axis (Asymmetric Process Centrality Result Passionarity)
  • Process, 1stDelta, 5thAlpha (Peripherality NOT Informational + Inhibitable, Ascending NOT Energetic + Inhibitable)
    • ILE SEI LSE EII
  • Process, 1stBeta, 5thGamma (Centrality NOT Informational + Inhibitable, Descending NOT Energetic + Inhibitable)
    • EIE LSI SEE ILI
  • Result, 1stDelta, 5thGamma (Descending NOT Informational + Inhibitable, Centrality NOT Energetic + Inhibitable)
    • LIE ESI IEE SLI
  • Result, 1stBeta, 5thAlpha (Ascending NOT Informational + Inhibitable, Peripherality NOT Energetic + Inhibitable)
    • ESE LII SLE IEI
• Process Implementation Result Project Groups
  • Process, 1stDetached, 5thExplicit (Logic NOT Informational + Inhibitable, Intuition NOT Energetic + Inhibitable)
    • ILE LSI ILI LSE
  • Process, 1stInvolved, 5thImplicit (Ethics NOT Informational + Inhibitable, Sensing NOT Energetic + Inhibitable)
    • SEI EIE SEE EII
  • Result, 1stDetached, 5thImplicit (Intuition NOT Informational + Inhibitable, Logic NOT Energetic + Inhibitable)
    • LII IEI LIE IEE
  • Result, 1stInvolved, 5thExplicit (Sensing NOT Informational + Inhibitable, Ethics NOT Energetic + Inhibitable)
    • ESE SLE ESI SLI
• Process Project Result Implementation Groups
  • Process, 1stImplicit, 5thDetached (Intuition NOT Informational + Inhibitable, Ethics NOT Energetic + Inhibitable)
    • ILE EIE ILI EII
  • Process, 1stExplicit, 5thInvolved (Sensing NOT Informational + Inhibitable, Logic NOT Energetic + Inhibitable)
    • SEI LSI SEE LSE
  • Result, 1stImplicit, 5thInvolved (Ethics NOT Informational + Inhibitable, Intuition NOT Energetic + Inhibitable)
    • ESE IEI ESI IEE
  • Result, 1stExplicit, 5thDetached (Logic NOT Informational + Inhibitable, Sensing NOT Energetic + Inhibitable)
    • LII SLE LIE SLI

These might be somewhat interesting because they are new ways to pair small groups together, and their meanings in Model G relate to the blockings that we've named using the new Gulenko-Newman dichotomy system. However, they aren't the most interesting since the small groups already existed before. 

... ... ... ...

The last 16 small group systems generated by the Tencer-Minaev dichotomies are truly unique sets of 4 types which aren't generated by the Reinin dichotomies at all. And all of them either mirror the fractal structure of Model G, or directly describe its workings based on High Energy vs Low Energy functions (Energetic vs Informational) and Low Brakes vs High Brakes functions (Excitable vs Inhibitable). They are very interesting:

Pure Tencer-Minaev Small Group Systems

• Program Function Aristocratic Order Pairs
  • Extroverted, 1stAlpha, 1stImplicit (Ne or Fe Program)
    • ILE ESE EIE IEE
  • Extroverted, 1stGamma, 1stExplicit (Se or Te Program)
    • SLE SEE LIE LSE
  • Introverted, 1stAlpha, 1stExplicit (Si or Ti Program)
    • SEI LII LSI SLI
  • Introverted, 1stGamma, 1stImplicit (Ni or Fi Program)
    • IEI ILI ESI EII
• Program Function Democratic Order Pairs
  • Extroverted, 1stDelta, 1stDetached (Ne or Te Program)
    • ILE LIE LSE IEE
  • Extroverted, 1stBeta, 1stInvolved (Se or Fe Program)
    • ESE EIE SLE SEE
  • Introverted, 1stDelta, 1stInvolved (Si or Fi Program)
    • SEI ESI EII SLI
  • Introverted, 1stBeta, 1stDetached (Ni or Ti Program)
    • LII LSI IEI ILI
• Demonstrative Function Aristocratic Order Pairs
  • Extroverted, 5thAlpha, 5thExplicit (Si or Ti Demonstrative)
    • ILE ESE SLE LSE
  • Extroverted, 5thGamma, 5thImplicit (Ni or Fi Demonstrative)
    • EIE SEE LIE IEE
  • Introverted, 5thAlpha, 5thImplicit (Ne or Fe Demonstrative)
    • SEI LII IEI EII
  • Introverted, 5thGamma, 5thExplicit (Se or Te Demonstrative)
    • LSI ILI ESI SLI
• Demonstrative Function Democratic Order Pairs
  • Extroverted, 5thBeta, 5thDetached (Ni or Ti Demonstrative)
    • ILE EIE SLE LIE
  • Extroverted, 5thDelta, 5thInvolved (Si or Fi Demonstrative)
    • ESE SEE LSE IEE
  • Introverted, 5thBeta, 5thInvolved (Se or Fe Demonstrative)
    • SEI LSI IEI ESI
  • Introverted, 5thDelta, 5thDetached (Ne or Te Demonstrative)
    • LII ILI EII SLI
• Program Function Democratic Revision Pairs
  • Static, 1stAlpha, 1stDetached (Ne or Ti Program)
    • ILE LII LSI IEE
  • Static, 1stGamma, 1stInvolved (Se or Fi Program)
    • SLE SEE ESI EII
  • Dynamic, 1stAlpha, 1stInvolved (Si or Fe Program)
    • SEI ESE EIE SLI
  • Dynamic, 1stGamma, 1stDetached (Ni or Te Program)
    • IEI ILI LIE LSE
• Program Function Aristocratic Revision Pairs
  • Static, 1stDelta, 1stImplicit (Ne or Fi Program)
    • ILE ESI EII IEE
  • Static, 1stBeta, 1stExplicit (Se or Ti Program)
    • LII LSI SLE SEE
  • Dynamic, 1stDelta, 1stExplicit (Si or Te Program)
    • SEI LIE LSE SLI
  • Dynamic, 1stBeta, 1stImplicit (Ni or Fe Program)
    • ESE EIE IEI ILI
• Demonstrative Function Democratic Revision Pairs
  • Static, 5thAlpha, 5thDetached (Ne or Ti Demonstrative)
    • ILE LII SLE EII
  • Static, 5thGamma, 5thInvolved (Se or Fi Demonstrative)
    • LSI SEE ESI IEE
  • Dynamic, 5thAlpha, 5thInvolved (Si or Fe Demonstrative)
    • SEI ESE IEI LSE
  • Dynamic, 5thGamma, 5thDetached (Ni or Te Demonstrative)
    • EIE ILI LIE SLI
• Demonstrative Function Aristocratic Revision Pairs
  • Static, 5thBeta, 5thExplicit (Se or Ti Demonstrative)
    • ILE LSI SLE ESI
  • Static, 5thDelta, 5thImplicit (Ne or Fi Demonstrative)
    • LII SEE EII IEE
  • Dynamic, 5thBeta, 5thImplicit (Ni or Fe Demonstrative)
    • SEI EIE IEI LIE
  • Dynamic, 5thDelta, 5thExplicit (Si or Te Demonstrative)
    • ESE ILI LSE SLI
• High/Low Energy Aristocratic Order Pairs
  • Positivist, 1stAlpha, 5thExplicit (Energetic SiTi/Informational NiFi)
    • ILE ESE LSI SLI
  • Positivist, 1stGamma, 5thImplicit (Energetic NiFi/Informational SiTi)
    • IEI SEE LIE EII
  • Negativist, 1stAlpha, 5thImplicit (Energetic NeFe/Informational SeTe)
    • SEI LII EIE IEE
  • Negativist, 1stGamma, 5thExplicit (Energetic SeTe/Informational NeFe)
    • SLE ILI ESI LSE
• High/Low Energy Democratic Order Pairs
  • Positivist, 1stDelta, 5thDetached (Energetic NeTe/Informational SeFe)
    • ILE LIE EII SLI
  • Positivist, 1stBeta, 5thInvolved (Energetic SeFe/Informational NeTe)
    • ESE LSI IEI SEE
  • Negativist, 1stDelta, 5thInvolved (Energetic SiFi/Informational NiTi)
    • SEI ESI LSE IEE
  • Negativist, 1stBeta, 5thDetached (Energetic NiTi/Informational SiFi)
    • LII EIE SLE ILI
• High/Low Brakes Aristocratic Order Pairs
  • Positivist, 1stImplicit, 5thAlpha (Excitable NeFe/Inhibitable SeTe)
    • ILE ESE IEI EII
  • Positivist, 1stExplicit, 5thGamma (Excitable SeTe/Inhibitable NeFe)
    • LSI SEE LIE SLI
  • Negativist, 1stImplicit, 5thGamma (Excitable NiFi/Inhibitable SiTi)
    • EIE ILI ESI IEE
  • Negativist, 1stExplicit, 5thAlpha (Excitable SiTi/Inhibitable NiFi)
    • SEI LII SLE LSE
• High/Low Brakes Democratic Order Pairs
  • Positivist, 1stDetached, 5thBeta (Excitable NiTi/Inhibitable SiFi)
    • ILE LSI IEI LIE
  • Positivist, 1stInvolved, 5thDelta (Excitable SiFi/Inhibitable NiTi)
    • ESE SEE EII SLI
  • Negativist, 1stDetached, 5thDelta (Excitable NeTe/Inhibitable SeFe)
    • LII ILI LSE IEE
  • Negativist, 1stInvolved, 5thBeta (Excitable SeFe/Inhibitable NeTe)
    • SEI EIE SLE ESI
• High/Low Energy Democratic Revision Pairs
  • Asking, 1stAlpha, 5thDetached (Energetic NeTi/Informational SeFi)
    • ILE LII EIE SLI
  • Asking, 1stGamma, 5thInvolved (Energetic SeFi/Informational NeTi)
    • IEI SEE ESI LSE
  • Declaring, 1stAlpha, 5thInvolved (Energetic SiFe/Informational NiTe)
    • SEI ESE LSI IEE
  • Declaring, 1stGamma, 5thDetached (Energetic NiTe/Informational SiFe)
    • SLE ILI LIE EII
• High/Low Energy Aristocratic Revision Pairs
  • Asking, 1stDelta, 5thExplicit (Energetic SiTe/Informational NiFe)
    • ILE ESI LSE SLI
  • Asking, 1stBeta, 5thImplicit (Energetic NiFe/Informational SiTe)
    • LII EIE IEI SEE
  • Declaring, 1stDelta, 5thImplicit (Energetic NeFi/Informational SeTi)
    • SEI LIE EII IEE
  • Declaring, 1stBeta, 5thExplicit (Energetic SeTi/Informational NeFi)
    • ESE LSI SLE ILI
• High/Low Brakes Democratic Revision Pairs
  • Asking, 1stDetached, 5thAlpha (Excitable NeTi/Inhibitable SeFi)
    • ILE LII IEI LSE
  • Asking, 1stInvolved, 5thGamma (Excitable SeFi/Inhibitable NeTi)
    • EIE SEE ESI SLI
  • Declaring, 1stDetached, 5thGamma (Excitable NiTe/Inhibitable SiFe)
    • LSI ILI LIE IEE
  • Declaring, 1stInvolved, 5thAlpha (Excitable SiFe/Inhibitable NiTe)
    • SEI ESE SLE EII
• High/Low Brakes Aristocratic Revision Pairs
  • Asking, 1stImplicit, 5thBeta (Excitable NiFe/Inhibitable SiTe)
    • ILE EIE IEI ESI
  • Asking, 1stExplicit, 5thDelta (Excitable SiTe/Inhibitable NiFe)
    • LII SEE LSE SLI
  • Declaring, 1stImplicit, 5thDelta (Excitable NeFi/Inhibitable SeTi)
    • ESE ILI EII IEE
  • Declaring, 1stExplicit, 5thBeta (Excitable SeTi/Inhibitable NeFi)
    • SEI LSI SLE LIE

As you can see, these sets of 4 types directly group the types based on Model G properties, such as which horizontal and vertical blocks of functions are high energy and which are low energy, and which blocks are low brakes and which have high brakes. The others seem to describe this same Model G block structure, just on the level of the Program or Demonstrative function of the types instead of the functions within the type, so it's essentially another fractal level of the same phenomenon.

... ... ... ...

Conclusion

All of these new discoveries really confirm the mathematical symmetry and elegance of Model G and show how it relates to the deeper structure of Socionics beyond Model G. Socionists who take mathematics and logic seriously can't just dismiss Model G anymore; it has to be dealt with on empirical grounds, and it must be taken seriously.

If you want to learn more about this, I really recommend that you check out my encyclopedia where a much more thorough proof and exploration of the details of these ideas takes place (https://varlawend.blogspot.com/2023/06/encyclopedia-of-model-g-and-model.html).