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Lo Shu grid
The grid is fixed and the placement is mechanical — what it means is a practitioner's reading, and this page keeps those apart. It also asks which school you work in, because the Indian and Chinese methods put different digits in the square.
The square itself
Nine cells, fixed positions, the same for everybody:
4 9 2
3 5 7
8 1 6
Every row, every column and both diagonals add to fifteen. That is what makes it a magic square, and it is the reason the arrangement never varies. This page checks that property when it loads rather than trusting the numbers were typed in correctly — if a future edit disturbed the layout, the calculator would refuse to run instead of quietly drawing a wrong grid.
The one thing that genuinely differs
Two people can take the same birth date and produce different grids, and it is almost always this. The Chinese original places only the digits of the date. Indian numerology also places the mulank — the day of the month reduced to one digit — and the bhagyank, the whole date reduced.
Those two extra digits change which numbers repeat and which are missing, which is the entire reading. Neither school is wrong. A calculator that picks one in silence hands you a grid you cannot reconcile with your teacher's, so this one asks and shows which is in use.
The same square, a different question
The badge on one cell is your Kua seat. The Kua number comes from feng shui rather than numerology, and it answers a different question — which direction to face — but it lands on this same square, because the eight trigrams sit in the eight outer cells of it. So your seat is one of the nine cells you are already looking at.
The two can disagree about which year you were born in, and neither is wrong. The grid places the digits of your date exactly as they are written. The Kua number runs on the solar year, which begins at Li Chun around 4 February — so anyone born in January or the first days of February gets the previous year's Kua. If you were born then, this page says so under the grid rather than leaving you to notice it.
Five has no seat. It is the centre of the square and the centre has no direction, so a Kua of 5 is read as 2 for a man and 8 for a woman — and the badge lands on that cell instead, which the line under the grid explains rather than leaving as a surprise.
The seat is all this page shows. Which of your four good directions is Sheng Chi and which is Tien Yi, and the full set of directions to avoid, are on the Kua number calculator. The full report works out both together from one date, along with everything else this site calculates.
Present, repeated, missing
A number that appears is read as present; one that appears several times as strongly present, sometimes to excess; one that is absent as an area that has to be worked at rather than one that comes freely. The grid settles which of those applies. It does not settle what it means for a person — that is a reading, and it belongs to whoever is doing the reading.
What your missing numbers mean, and what to do about them.
That part is a reading, and it is given by a person — Lubna Faraz, who practises numerology, vastu and palmistry. The calculators here stay free; nothing is held back behind it.
A reading →The arrows
A row, column or diagonal with all three numbers present is called an arrow of strength; one with all three absent, an arrow of weakness. There are eight lines — three rows, three columns, two diagonals.
The names for them vary between teachers, so this page prints the three numbers beside every name. If your tradition calls 4–9–2 something else, you can still see exactly which line is meant.