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Psychomatrix (Pythagorean square) · Cell 5 of 9

Cell 5, Logic: the centre of the square and the reasoning mind

Cell 5 of the Psychomatrix, called Logic, is the cell that counts the fives and sits at the centre of the square. The school reads it as reasoning and intuition together; because it lies on both diagonals and the middle row and column, it counts in four of the eight lines.

A 3 by 3 square drawn 1 4 7, 2 5 8, 3 6 9, with the centre cell, 5, marked. Beside it a bar chart of the share of dates by the number of 5s: about 41 percent of dates have none and about 41 percent have one in both centuries; two or more are much rarer. Cell 5 1 4 7 2 5 8 3 6 9 1900 to 1999 2000 to 2099 Share of dates by count of 5s 0% 20% 40% 60% 0 1 2 3 4 5+ How many 5s in the square Empty: 40.7% of dates (1900 to 1999), 41.6% (2000 to 2099)
Cell 5 at the centre of the square, and how many 5s a square holds over every date of the twentieth century (filled) and the twenty-first (outlined): our own count under the classic formula.

Facts

Digit counted
5: every 5 in the date and in the four working numbers
The tradition's name
Logic (логика)
Read by the school as
reasoning and intuition
Place in the square
Middle row, middle column, as drawn 1 4 7 / 2 5 8 / 3 6 9
Lines through it
Family (2-5-8); Money and everyday life (4-5-6); Spirituality (1-5-9); Temperament (3-5-7)
Dates with the cell empty
40.7 percent of 1900 to 1999; 41.6 percent of 2000 to 2099
Average count
0.81 (1900 to 1999); 0.81 (2000 to 2099); at most 5 on any date
The school's transitions
99 to 5 and 55 to 9 (taught by the school; not computed)

Meaning

The centre cell collects every 5, and the school reads it as logic in a wide sense: reasoning, planning and the intuition that runs ahead of them. An empty cell is read as imagination outrunning planning; one 5 as enough logic for the short term; two as sound reasoning with good intuition; three as sharp insight that comes and goes; four as reasoning the school likens to seeing ahead; five or more as thinking that loops and cannot decide.

In our own words, the cell describes how a person reaches a decision: by feeling the way, by working it out, or by a hunch that arrives first. The school's talk of second sight at high counts is its own image; we do not say that anyone sees the future, and a low count does not mean that someone cannot plan.

Every count, in our words

The tradition's scale for a cell runs from none to overload. Our reading of each count of fives follows, with the share of dates that have it, over every day of the twentieth century and of the twenty-first.

  • 0. Imagination ahead of planning; the person feels the way and does better with notes than with long plans. Dates: 40.7 percent of 1900 to 1999, 41.6 percent of 2000 to 2099.
  • 1. Enough logic to avoid obvious mistakes and judge the short term; long plans are a stretch. Dates: 41.5 percent of 1900 to 1999, 40.3 percent of 2000 to 2099.
  • 2. Good intuition and sound reasoning, enough to think ahead and to see through a bluff. Dates: 14.7 percent of 1900 to 1999, 14.8 percent of 2000 to 2099.
  • 3. Sharp intuition that comes and goes: brilliant when it works, unreliable to lean on. Dates: 2.8 percent of 1900 to 1999, 2.9 percent of 2000 to 2099.
  • 4. Reasoning so quick that causes and consequences seem visible before others see them. Dates: 0.3 percent of 1900 to 1999, 0.4 percent of 2000 to 2099.
  • 5. Overthinking: every situation is analysed until nothing can be decided. Dates: under 0.1 percent of 1900 to 1999, 0.1 percent of 2000 to 2099.
  • 6 or more. Overload: logic in loops, prone to fixed ideas. Dates: no date of 1900 to 1999, no date of 2000 to 2099.

How often the cell fills

Fives are as scarce as fours: 0.81 on average in both centuries, with 40.7 percent of twentieth-century dates and 41.6 percent of twenty-first-century dates leaving the centre empty. One 5 is the commonest count; three or more fall to about 3 in 100 dates.

Four lines through the centre

The centre is the only cell in four lines: the middle row (family), the middle column (money and everyday life), the falling diagonal (spirituality) and the rising diagonal (temperament). An empty centre therefore lowers four totals at once, and a full one raises them; the lines' pages show how often each falls in each band. The school teaches that two full cells can pass digits to the centre, 99 to 5, and that two 5s can pass to cell 9; that is its doctrine, and we compute no transitions.

What this page leaves out

Alexandrov's school teaches transitions that touch this cell (99 to 5 and 55 to 9); we record them as the school's doctrine and compute none of them. Nothing here compares two people's squares. Births from 2000 are read on the classic formula, with the "+19" variant as a labelled option.

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.

Cell name (Alexandrov school)
Logic (логика); the one-word English name is ours sourced
What the count is read as
reasoning and intuition sourced
The bands
none, weak, normal, strong but unstable, strong, maximal, overload, for 0 to 6 or more: the tradition's scale sourced
Readings of each count (EsoTerrier)
Written fresh in our own words; the Russian sites' readings repeat Alexandrov's books and are not translated our construction
Western birth chart (Phillips, as summarised)
The same digit in a grid of the date's digits only, drawn 3 6 9 / 2 5 8 / 1 4 7, with no working numbers sourced
Transitions (Alexandrov school)
99 to 5 and 55 to 9: digits said to move between cells; the school's doctrine, not computed sourced

How the schools read it

Alexandrov's school and the Russian tools
Count the fives and read the count on the scale from none to overload; the cell is Logic.
Afisha and a few others
The same cell, drawn with 1 2 3 across the top instead of 1 4 7.
Practitioners of "+19"
For births from 2000, the third working number is the first plus 19, which changes the digits counted. A convention, offered by us only as a labelled option.
Templeton and Phillips
The Western birth chart counts only the date's digits and reads a line when its three cells are all full or all empty.
EsoTerrier
The cell describes how a person reaches a decision: by feeling the way, by working it out, or by a hunch that arrives first. The school's talk of second sight at high counts is its own image; we do not say that anyone sees the future, and a low count does not mean that someone cannot plan.

Claims about it

  • The meaning of cell 5 goes back to Pythagoras.

    false

    What the record shows: Pythagoras wrote nothing, and no early source mentions a square of birth-date digits. The cell and its name come from the Russian tradition that Alexandrov's school fixed, in print from 1999.

  • The nine cell names come from antiquity.

    false

    What the record shows: The names character, energy, interest, health, logic, labour, luck, duty and memory are the Russian tradition as Alexandrov's school fixed them; calculators print them without saying whose they are.

  • Digits move into and out of cell 5 by fixed transitions (99 to 5 and 55 to 9).

    unverified

    What the record shows: A doctrine of Alexandrov's school, taught as a way of reading and strengthening the square, with nothing that tests it. We compute no transitions.

  • A full cell 5 shows a measurable gift of intuition.

    false

    What the record shows: No study of the square exists, and the one large test of birth dates against personality found nothing. "Second sight" is the school's image, not a finding.

  • The "+19" rule is Alexandrov's own correction for births from 2000.

    false

    What the record shows: His provision for this century, as his followers summarise it, concerns how the lines are read. "+19" is a practitioner convention, and we offer it only as a labelled option.

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. 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
  3. 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
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. numpif.blogspot.com (an Alexandrov-method practitioner), "Переходы энергий в психоматрице" (the transitions), September 2007. numpif.blogspot.com/2007/09/blog-post_5047.html
  4. Peter Hartmann, Martin Reuter and Helmuth Nyborg, "The relationship between date of birth and individual differences in personality and general intelligence: a large-scale study", Personality and Individual Differences 40 (2006), 1349 to 1362. doi.org/10.1016/j.paid.2005.11.017
  5. "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
  6. 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
  7. 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
  8. tayniymir.com, "Прогноз по методу Натальи Сидоровой" (Natalia Sidorova's "Ideal" forecasting method). tayniymir.com/numerology/prognoz.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.

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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.