Rules for Creating Systematic Tables

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Book 198Book Structure & ContentsPart OneRules for Creating Systematic Tables

A practical introduction to the principles that govern systematic numerical tables, including digit sets, structural keys, and rules of completeness.This chapter explains how numerical order is formed, how the main keys function, and how these patterns reveal deeper structural logic within the tables.

Diagram showing systematic tables, numerical keys, and digit structures in Book 198

1. General Rules for Creating Systematic Tables

A table may contain only numbers without zero, with different digits, and with the same number of digits in each number.

A table must not contain numbers with the same set of digits. For example, if the number 25 is present, the number 52 must not appear.

A complete section consists of three subsections. Each subsection contains nine numbers.

2. Completeness of a Table

In a complete table, all non-repeating sets of digits must be present.

Two-digit and seven-digit numbers: 36 sets.
Three-, four-, five-, and six-digit numbers: 81 sets.
Eight-digit numbers: 9 sets.

3. The Three Main Keys and the Hierarchical Key Structure

Order of Formation

The table must be formed in strict order according to number keys.

There are 30 three-digit keys and 3 six-digit keys. Each key has different variants of digit arrangements.

The Three Main Keys

The three main keys are: 1-4-7, 2-5-8, and 3-6-9. The most important key is 3-6-9.

The remaining 27 three-digit keys are divided into three groups of nine.

Three Groups of 27 Keys

Group 1 (Digital root: 6)
276-843-519
294-861-537
123-456-789

Group 2 (Digital root: 3)
183-759-426
453-129-786
723-489-156

Group 3 (Digital root: 9)
927-684-351
657-324-981
387-954-621

Alternative Arrangement of the 27 Keys

123-456-789  867-291-534  675-918-342 = 4995

597-831-264  315-648-972  753-186-429 = 4995

945-378-612  483-726-159  237-561-894 = 4995

On the Discovery of the Keys

If you analyze the three key rows above using a calculator, you will notice the remarkable precision and consistency in the arrangement of the digits. For centuries, even outstanding thinkers and researchers were unable to fully explain the number of the keys and their internal properties, despite numerous attempts.

The three main keys themselves have been known for thousands of years. However, most previous studies focused primarily on their influence on numerical values, rather than on their internal structural logic.

The true nature of the keys and their properties has only recently been revealed.

4. Structural Status of the Main Keys

The three main keys must not be placed inside table cells as this system identifies three main sets — 147, 258, and 369 — not as numerical values, but as principal structural keys. For this reason, they are not located in the table cells, but are used to construct tables in combination with the remaining 27 three-digit keys.

The same applies to: 147258, 147369, 258369.

Cyclic Properties

Only the three main keys return to their original digit sets in three steps.

Example: 147 → 258 → 369 → 471

Diagram showing the numerical cycle 147–258–369 illustrated as a dragon eating its tail in Book 198

This phenomenon reflects an ancient universal symbol — “a dragon eating its own tail” — known across different cultures as a sign of the eternal cycle of renewal and return.

All other numbers require nine steps.

Example: 123 → 234 → 345 → 456 → 567 → 678 → 789 → 891 → 912 → 123

5. Digital Roots of the Numbers

The digital root of a number is obtained by adding its digits until a single digit remains.

Example: 83 → 8+3 = 11 → 1+1 = 2

The digital root of numbers helps identify errors in a constructed table.

6. Sacred Geometric Forms in Systematic Tables

Connecting identical digits with each other, as well as connecting the digits of the keys within each section or table, consistently produces the same geometric figures: an equilateral cross, four triangles forming two hexagons, and an octagon.

Related hub: Divine Tables & Sacred Symbols — a structured overview of the book’s numerical tables, key sets, and recurring sacred geometric forms.


These related chapters and articles expand the main themes of this chapter — structural keys, digital roots, sacred number tables, and the geometric patterns that emerge from systematic numerical order.

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