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rows · columns · diagonals

The lines of the Pythagorean Square: rows, columns and diagonals

The lines of the psychomatrix are three rows, three columns and two diagonals of the 3×3 grid. A line's sum is made up of the repeats in its three cells. Enter your date: rays fan out across your grid, and below appear all eight sums and the share of dates with the same sum.

Example · 03.06.1983

Pace of emotional response: sum 4in 19,4 % of dates

Who is it for
Your birth date

Grid and numbers — free, no sign-up

Map of sums: which line sums are more common

Rows are the eight lines of the psychomatrix, columns are the line sum. Each cell shows what percent of the 27,759 dates of 1950–2025 give that sum (a share of dates, not of people). The example's sums are outlined — enter your own date.

Share of dates by the sum of each line of the Pythagorean Square, %
Line01234567891011+
<1361626251562<1
5192928125<1<1
67202623135<1<1
<1271723251782<1<1
<1513242418104<1<1
2918222014951<1
5142122191251<1
<11591822201463<1<1

The eight lines of the psychomatrix: rows, columns and diagonals

column · 1-2-3

Response to feedback

The first column: cells 1, 2 and 3 — initiative, pace and interest. The sum shows how many repeats are gathered in these themes; the model links it to how you react to praise and criticism.

Most often: sum 6 — 26,4 % of dates, sum 7 — 24,7 % of dates

column · 4-5-6

Practicality, home life and work rhythm

The second column: cells 4, 5 and 6 — wellbeing, decisions and practice. The model reads it as the theme of everyday chores, work rhythm and practicality.

Most often: sum 2 — 29,2 % of dates, sum 3 — 28,3 % of dates

column · 7-8-9

Skill development

The third column: cells 7, 8 and 9 — opportunities, agreements and learning. In the model this is the theme of how skills develop.

Most often: sum 3 — 25,9 % of dates, sum 4 — 22,7 % of dates

row · 1-4-7

Goals and completion

The top row: cells 1, 4 and 7. The model views it as the theme of goals: how you set tasks and see them through.

Most often: sum 5 — 24,6 % of dates, sum 4 — 22,7 % of dates

row · 2-5-8

Closeness and personal space

The middle row: cells 2, 5 and 8. In the model this is the theme of closeness and personal space — at home, in a couple and among friends.

Most often: sum 4 — 24,1 % of dates, sum 3 — 23,9 % of dates

row · 3-6-9

Habits and change

The bottom row: cells 3, 6 and 9. The model links it to habits and to how you go through change.

Most often: sum 3 — 21,7 % of dates, sum 4 — 20 % of dates

diagonal · 3-5-7

Pace of emotional response

The diagonal from bottom-left to top-right: cells 3, 5 and 7. In the model this is the theme of the pace of emotional response — how quickly and vividly you react.

Most often: sum 3 — 22,1 % of dates, sum 2 — 21 % of dates

diagonal · 1-5-9

Meaning and values

The diagonal from top-left to bottom-right: cells 1, 5 and 9. The model reads it as the theme of meaning and values.

Most often: sum 5 — 22,4 % of dates, sum 6 — 20 % of dates

Frequently asked questions

What are the lines in the Pythagorean Square?
These are three rows, three columns and two diagonals of the 3×3 grid. A line's sum is the sum of the repeats in its three cells. In the Arcanika author model each line is a separate theme for reflection.
How do you calculate a line's sum?
Add up the number of digits in the line's three cells. For example, if cell 1 has “111”, cell 2 has “22”, and cell 3 is empty, the sum of column 1-2-3 equals 3 + 2 + 0 = 5.
Which line sum is considered high?
Most often the sums lie in the 2–5 range. The scale of the lines in the model is an author's guide based on the calendar corpus of dates, not a norm for people; a high sum does not mean “better”.
Where are temperament and spirituality in the Pythagorean Square?
That is what popular tables call the diagonals 3-5-7 and 1-5-9. In the Arcanika model these are “Pace of emotional response” and “Meaning and values” — neutral themes, because a birth date does not determine temperament or spirituality.

Calculate your square
and compare your line sums with the calendar

Eight sums — rows, columns, diagonals — appear as soon as you enter the date.

Calculate the Pythagorean Square