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Psychomatrix (Pythagorean square) · Line 1 of 8 · the top row

The top row, 1-4-7: purposefulness, or how firmly aims are held

The top row of the Psychomatrix is the line that joins cells 1, 4 and 7, Character, Health and Luck, and the school reads its total as purposefulness: how fixed a person's aims are and how hard they are pursued. Its total averages 4.73 for the 1900s and 4.09 since 2000.

A 3 by 3 square drawn 1 4 7, 2 5 8, 3 6 9, with the top row, cells 1, 4 and 7, marked and joined by a line. Beside it a bar chart of the share of dates in each band of the row's total, 0 to 6 or more: for 1900 to 1999 the bars rise to 29.5 percent at 6 or more; for 2000 to 2099 they peak at 4. Cells 1-4-7 1 4 7 2 5 8 3 6 9 1900 to 1999 2000 to 2099 Share of dates by line total 0% 10% 20% 30% 40% 50% 0 1 2 3 4 5 6+ Digits in the three cells, by band Average total: 4.73 (1900 to 1999), 4.09 (2000 to 2099)
The top row in the square, and the share of dates in each band of its total over the twentieth century (filled) and the twenty-first (outlined): our own count under the classic formula, on the thresholds we use.

Facts

Cells
1, 4, 7: Character, Health, Luck
Kind of line
A row, the top row, as drawn 1 4 7 / 2 5 8 / 3 6 9
The tradition's name
Purposefulness (целеустремлённость)
What is counted
The number of digits in its three cells
Bands on our thresholds
0 none; 1 weak; 2 normal; 3 strong but unstable; 4 strong; 5 maximal; 6+ overload
Average total
4.73 (1900 to 1999); 4.09 (2000 to 2099); at most 11 on any date
In the Western birth chart
Phillips's "arrow of Practicality", read only when all three cells are full or all empty

Meaning

The top row as the Russian tools draw it joins character, health and luck, and the school reads its total as purposefulness: how fixed a person's aims are and how hard they are pursued. No digits is read as aims that come from other people; one as goals set and soon given up; two as realistic drive matched to means; three as strong drive with an unclear direction; four as goals first and the means found later; five as everything thrown at the goal; and six or more as ambition that has burnt out into talk.

In our own words, the row describes how a person holds an aim: lightly, realistically, or so tightly that the aim becomes the point. Two of its cells carry the traditional names Health and Luck, which in this line count only as digits.

Every band, in our words

The line is read by the number of digits in its three cells, on thresholds of its own. Our reading of each band follows, with the share of dates that fall in it over every day of the twentieth century and of the twenty-first.

  • 0, none. No fixed aims; goals come from other people. Dates: no date of 1900 to 1999, 0.6 percent of 2000 to 2099.
  • 1, weak. Goals set, and soon given up. Dates: 1.2 percent of 1900 to 1999, 3.9 percent of 2000 to 2099.
  • 2, normal. Realistic drive, matched to means. Dates: 5.6 percent of 1900 to 1999, 11.7 percent of 2000 to 2099.
  • 3, strong but unstable. Strong drive with an unclear direction. Dates: 14.6 percent of 1900 to 1999, 21.8 percent of 2000 to 2099.
  • 4, strong. Goals first, the means found later. Dates: 22.9 percent of 1900 to 1999, 22.8 percent of 2000 to 2099.
  • 5, maximal. Everything thrown at the goal. Dates: 26.2 percent of 1900 to 1999, 19.4 percent of 2000 to 2099.
  • 6+, overload. Ambition burnt out into talk. Dates: 29.5 percent of 1900 to 1999, 19.8 percent of 2000 to 2099.

What fills the line

The row's total is mostly the count of 1s, which every twentieth-century date supplies in its year; the 4s and 7s are scarce, each empty in about four dates in ten. So the row is full for the 1900s, where 29.5 percent of dates reach six or more, and lower from 2000, when the 1s thin out: the average falls from 4.73 to 4.09.

What this page leaves out

The school compares two people's lines for compatibility and teaches transitions between cells; we compute neither. Births from 2000 are read on the classic formula, with the "+19" variant as a labelled option.

Health (cell 4), Luck (cell 7) and Money and everyday life (the column 4-5-6) are the tradition's names, kept as names: nothing in the square is a medical or financial statement or forecast, and nothing on this page is medical or financial advice.

Correspondences

Each item with how it stands: “sourced” is in the work cited, “our construction” is EsoTerrier’s own, and “disputed” means the sources disagree.

Line name (Alexandrov school)
Purposefulness (целеустремлённость); the English name is ours sourced
Thresholds
0 none; 1 weak; 2 normal; 3 strong but unstable; 4 strong; 5 maximal; 6+ overload: the common Russian scheme; whether they match Alexandrov's own in every band is open disputed
Readings of each band (EsoTerrier)
Written fresh in our own words; the Russian sites' readings repeat Alexandrov's books and are not translated our construction
Arrow in the Western birth chart (Phillips, as summarised)
"Practicality": the same three cells in a grid flipped top to bottom, date digits only sourced

How the schools read it

Alexandrov's school and the Russian tools
Add the digits in cells 1, 4, 7 and read the total on the line's own thresholds; the line is Purposefulness.
Afisha and a few others
The same cells, drawn with 1 2 3 across the top, so that this row is drawn as a column.
Practitioners of "+19"
For births from 2000 the digits counted change, and with them the total. A convention, offered by us only as a labelled option.
Templeton and Phillips
The "arrow of Practicality": a strength when all three cells hold date digits, a weakness when all three are empty; no bands.
EsoTerrier
The row describes how a person holds an aim: lightly, realistically, or so tightly that the aim becomes the point. Two of its cells carry the traditional names Health and Luck, which in this line count only as digits.

Claims about it

  • The purposefulness line is Pythagorean.

    false

    What the record shows: Pythagoras wrote nothing and no early source has a digit square. The eight lines are the Alexandrov school's addition to the Russian square, in print from 1999.

  • The square's lines add up like those of a magic square.

    false

    What the record shows: In a magic square, such as the Lo Shu or Dürer's of 1514, every line makes the same sum. Here a line is the number of digits in three cells, and its total varies from date to date.

  • Phillips's "arrow of Practicality" for these cells is an arrow of Pythagoras.

    false

    What the record shows: The grid of date digits with its arrows comes from Hettie Templeton in Sydney, 1940, carried on by David Phillips. Pythagoras is the brand, not the source.

  • In a couple the man should have the stronger top row.

    unverified

    What the record shows: A gendered rule of web calculators, not traced to Alexandrov. We use no rule by sex.

  • A difference of 0 or 1 between two people's totals on this line means good compatibility.

    unverified

    What the record shows: A practitioners' rule of thumb across Russian compatibility sites, not traced to Alexandrov's text and never tested. We compare no squares.

Elsewhere on EsoTerrier

Sources

Primary texts (3)
  1. David A. Phillips, The Complete Book of Numerology. Hay House, 1992 (and 2005); known from a published summary; facts only. shortform.com/summary/the-complete-book-of-numerology-summary-david-a-phillips
  2. Hettie Templeton, Numbers and Their Influence. Sydney, 1940; reissued by Rockpool as Numerology: Numbers and Their Influence. Known from the publisher's description; facts only. simonandschuster.co.uk/books/Numerology/RoseMaree-Templeton/9781921295508
  3. Aleksandr F. Aleksandrov, with a preface by Alla Aleksandrova, Большая книга нумерологии. Цифровой анализ, 2025 edition: the publisher's description and the preface, as the retailer's record gives them. Facts only. litres.com/book/aleksandr-aleksandrov/bolshaya-kniga-numerologii-71501734
Studies and other sources (8)
  1. numeroscop.ru, the pages on the cells, rows, columns and diagonals of the Psychomatrix. numeroscop.ru/kvadrat_pifagora/psikhomatrica
  2. numerolog.ru, "Как рассчитать квадрат Пифагора" and "Расшифровка значений". numerolog.ru/pifagor/kak-rasschitat-kvadrat-pifagora.html
  3. "Numerology and the arrows of Pythagoras", chinesemedicinehistoryandphilosophy.blogspot.com, 2016 (a summary of Phillips's birth chart). chinesemedicinehistoryandphilosophy.blogspot.com/2016/07/numerology-and-arrows-of-pythagoras.html
  4. Afisha Daily, "Квадрат (матрица) Пифагора: что это, как рассчитать по дате рождения и как расшифровать". daily.afisha.ru/poleznye-stati/30489-kvadrat-matrica-pifagora-chto-eto-kak-rasschitat-po-date-rozhdeniya-i-kak-rasshifrovat
  5. yolkki.ru, "Расчёт матрицы Пифагора онлайн" (the "+19 constant" as a calculator states it). yolkki.ru/construction/raschet-matricy-pifagora-onlain-kak-rasschitat-kvadrat-pifagora-po-date
  6. numeroscop.ru, "Совместимость по квадрату Пифагора" and "Совместимость по темпераменту". numeroscop.ru/sovmestimost/po_psikhomatrice
  7. inpot.ru, tayniymir.com, chronos.mg and phido.ru: eight-line pair texts with rules by sex. inpot.ru/?p=17468
  8. numpif.blogspot.com (an Alexandrov-method practitioner), "Переходы энергий в психоматрице" (the transitions), September 2007. numpif.blogspot.com/2007/09/blog-post_5047.html
Our own research (3)
  1. EsoTerrier calculation engine, the Psychomatrix service and its documentation.
  2. EsoTerrier, numerology, Psychomatrix and gematria research, 10 to 13 October 2026, with the own-words readings of every cell and line.
  3. EsoTerrier, the count of every cell and line over every date from 1900 to 2099 under the classic formula (October 2026), recounted with separate code for these pages.

Your Psychomatrix reading, $3.99. Includes this system's raw data. Written for you by AI. Read a sample. Charts and the written text are free in every account.

By EsoTerrier. Written with AI assistance from our research and checked against its sources; last revised 20 October 2026. How we write these pages.

First published ; last revised . Corrections: support@esoterrier.com.