Square

1. What Is Square Theory

Square Theory has existed as a classical socionics theorysince the 1980s. Reinin's small-group theory (1986) formalized the 4-type cluster structure, and Shekhter & Kobrinskaya (1988) observationally established the "Square (relaxation group)." Since then, this stable 4-type cluster (including duality) has been widely documented in sources such as socioniko.net.

This page applies the classical Square Theory to the Model K 32-type system. Model K proposes no new theory: it maps the existing Square Theory onto 32 types × p/c position distinction, organizing them along two axes — Perception Community (PC) and Judgment Community (JC) — and adding the functional distinction between Square (rest mode) and Business Square (cooperation mode). The theoretical core remains classical Square Theory; this page simply restructures it for easier reference within the 32-type framework.

1.1 Origin of Classical Square Theory (Shekhter & Kobrinskaya, 1988)

In classical Square Theory, the description of the "Square" group by F. Shekhter and N. Kobrinskaya (1988, Russia) is the foundational text. The full translation appears below.

The Sq (Square) mode in this theory corresponds directly to the "Square" group above. The "duality + kindred + semi-duality" three-relation structure presented by Shekhter & Kobrinskaya is reproduced precisely as the 4-type internal relation structure in Model K. The descriptions of the relaxation group function, tensionless communication, and energy recovery directly capture the collective essence of Sq mode.

2. The Two Squares (PC & JC)

Each type belongs to two 4-type groups, each sharing two valued perception functions or two valued judgment functions.

PC and JC each have 8 groups, for a total of 16 compatible quartets that cover all 32 types.

2.1 The 32-Type Overview

The 32 types form two community structures: Perception Community (PC) sharing valued perception, and Judgment Community (JC) sharing valued judgment. Each is organized into 8 squares of 4 types.

Two diagrams below show how the same 32 types form different groupings along different binding axes. Click any Square name to open its individual page.

Perception Community (PC) — 8 Squares

A group of 4 types sharing the same valued perception. Sq (rest) and BSq (cooperation) form a pair sharing a value class.

Judgment Community (JC) — 8 Squares

A group of 4 types sharing the same valued judgment. Sq (rest) and BSq (cooperation) form a pair sharing a value class.

3. Two Modes (Sq & BSq)

Each Square (PC or JC) takes one of two modes depending on the internal relation structure of its 4 types. Groups synchronized at the p position become "seeker" communities; those synchronized at the c position become "creator" communities.

3.1 Theoretical Basis for Sq and BSq

Square (Duality + Kindred + Belonging) corresponds to the original definition of "Square (relaxation group)" by Shekhter & Kobrinskaya (1988).

Business Square (Duality + Business + Resonance) is already described as a similar structure in Reinin's complete small-group theory and Sociotype-system sources. Model K distinguishes these two types — "Square" and "Business Square" — by focusing on the synchronization axis (program-position synchronization vs. creative-position synchronization).

4. Structural Law

4.1 Each Type's Membership in Two Squares

Each type necessarily belongs to one PC and one JC.

4.2 Symmetry of Rationality and Mode

Each type necessarily holds one Sq and one BSq. In their primary domain (perception or judgment) they enter Sq mode = relaxation; in the secondary domain they enter BSq mode = cooperation.

4.3 Structural Law of p/c Position and "Seek / Create"

The functional difference between Square mode (Sq) and Business Square mode (BSq) stems from the leading-suggestive synchronization position (p / c).

• p position (program): recognizing and finding what already exists — companions seeking a shared object
• c position (creative): consciously producing outwardly — companions creating a shared object

5. Alliance and Opposition

For each PC/JC there is exactly one allied pair (sharing a value class) and one opposing pair (full value reversal). Both alliance and opposition always span Sq and BSq. Alliance and opposition are self-contained within PC or JC respectively (PC and JC sides are independent).

5.1 PC Allied Pairs (Shared Perception Values)

5.2 JC Allied Pairs (Shared Judgment Values)

6. Relation to Quadra Theory

Model K defines 8 Quadras (α, β, γ, δ, -α, -β, -γ, -δ). Quadras and PC/JC provide different grouping axes.

Each type simultaneously belongs to three quartets: one Quadra + one PC + one JC. Quadra remains the strongest bond ("full value sharing"), while PC/JC add broader bonds ("partial value sharing").

6.1 PC and JC Each Contain Two Quadras

The internal composition of each PC/JC is always two types each from two Quadras. These two Quadras are adjacent on Model K's Benefit Ring.

• PC binds isomorphic Quadras across "Judicious/Decisive + Democratic/Aristocratic" axes.
• JC binds isomorphic Quadras across "Merry/Serious + Democratic/Aristocratic" axes.

6.2 Functional Roles

• Quadra — psychological mothership (a complete home where all values match)
• PC — companions sharing how to see the world
• JC — companions sharing how to judge

A person "belongs" to one Quadra while "broadly connecting" through PC and JC. This three-layer structure covers all forms of social connection within the 32-type system.

7. Scope of Model K's Organization

Square Theory itself is already established as a classical socionics theory. Model K's role is limited to organizing these existing theories into a referable form within the 32-type system.

Inherited directly from classical Square Theory: the 16-group foundation organized in Reinin's complete small-group theory (1986), the Square by Shekhter & Kobrinskaya (1988) = 4-type group of duality + kindred + diagonal, and coexistence with the Quadra Club (Augustinavičiūtė) grouping axis.

Model K's organization makes the following easier to reference: separation along two axes — PC (Perception Community) and JC (Judgment Community); explicit functional distinction between Sq (rest mode) and BSq (cooperation mode); the structural view of binding two adjacent Quadras on the Benefit Ring. All of these are explicit re-articulations — in 32-type terminology — of structures already implicit in classical Square Theory.

For individual descriptions of the 16 groups, see:

View 16 Squares List →