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Numerical Chess: Revealing the Numerical Structure of the Game

NUMERICAL CHESS – CURRENT STATE 2026
Episode 21 – Structural Analysis [5] – Recognizing and Counting Connections [4] – Exercise 3
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Numerical Chess — Credo
Chess positions are numerical structures.
Pieces create connections that generate measurable influence.
The game unfolds through the transformation of these numbers.
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Exercise 3 – Recognizing Advancing Connections (AC)
In this exercise, the task is to count all Advancing Connections (AC) for White.
The zonal AC values (shown in the green rows of the table) are, as always, already entered in the Numerical Chess Algorithm Table.
Below you can find the individual Advancing Connections generated by White in both strategic zones (20-zones) and their respective sub-zones.
The procedure for calculating connections in the subzones was explained in Episode 19.
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White
Zone 1
Qa1 → {a4 (battery connection), c3, d4}
Ra3 → {a4, b3, c3, d3, e3}
Nb5 → {c3, d4}
Re5 → {e4, e3}
Bf1 → {d3, c4}
AC = 14
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Zone 2
Qa1 → {d4}
Ra3 → {d3, e3, f3, g3, h3}
Nb5 → {d4}
Re5 → {e4, e3}
Bf1 → {d3}
g2 → {g4}
h2 → {h4}
AC = 12
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What are Advancing Connections?
Advancing Connections (AC) represent advancing pressure that may later develop into Invasive Connections (IC).
However, they also play an important role in defense, as they control forward lines and influence the opponent’s territory before actual invasion occurs.
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Question for readers
Which single white piece generates the largest number of Advancing Connections in this position?
Share your answer in the comments.
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Numerical Chess
Exploring the hidden numerical structure of chess.

Numerical Chess: Revealing the Numerical Structure of the Game

NUMERICAL CHESS – CURRENT STATE 2026

Episode 20 – Structural Analysis [4] – Recognizing and Counting Connections [3] – Exercise 2
________________________________________
Numerical Chess — Credo
Chess positions are numerical structures.
Pieces create connections that generate measurable influence.
The game unfolds through the transformation of these numbers.
________________________________________
Exercise 2 – Recognizing Invasive Connections (IC)

In this exercise, the task is to count all Invasive Connections (IC) for both White and Black.
The final values are already entered in the Numerical Chess Algorithm Table.
If you attempted the exercise and would like to verify your results, the connections for both sides in the Strategic 20-Zones 1 and 2 are listed below.
(The sub-zone IC values can be calculated according to the rules explained in Episode 19.)
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White
20-Zone 1
Qa5→b5
Qa5→c5
Qa5→d5
Qa5→b6
Qa5→a6
Qa5→a7
Qa5→c7
Qa5→d8
Qa5→a8
Total: 9 IC
20-Zone 2
Qa5→d5
Qa5→d8
Total: 2 IC
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Black
20-Zone 1
Qb1→b4
d5→c4
d5→d4
d5→e4
Qb1→e4
Nf6→e4
Qb1→d3
Qb1→b3
Qb1→a2
Qb1→b2
Qb1→c2
Qb1→e1
Qb1→d1
Qb1→c1
Qb1→a1
Total: 15 IC
20-Zone 2
d5→d4
d5→e4
Qb1→e4
Nf6→e4
Nf6→g4
Qb1→d3
Qb1→d1
Qb1→e1
Qb1→f1
Qb1→g1
Qb1→h1
Total: 11 IC
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Numerical Chess
Exploring the hidden numerical structure of chess.