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Lo Shu Square

The Lo Shu square converts a date of birth into the Chinese calendar first and then lays the digits of that converted date into a 3x3 arrangement of palaces, so the square is built from a different date than the one on your passport.

The conversion happens before any counting

This is the one thing that separates the Lo Shu square from every other square on this site. The Pythagorean square and the birth chart count the digits of the date as written. Here the date is first expressed in the Chinese calendar — 14.08.1984 becomes 18.07.4682 — and only then do its digits go into the grid.

The conversion is a table rather than a formula, which is why the page names the converted date on screen next to the result: without it the square looks like an arrangement nobody can reproduce. If your date came out looking unfamiliar, that is the conversion working, not an error.

The consequence catches people out. Two dates a day apart in the Gregorian calendar can convert into the same lunar day, and a January birthday often converts into the previous lunar year. A square that does not match the one you built by hand from your written date is usually a square built from a different date.

Nine palaces, and the order that is not sequential

The grid is not numbered left to right. The classical arrangement is 4-9-2 on the top row, 3-5-7 in the middle and 8-1-6 at the bottom — the arrangement in which every row, every column and both diagonals add to fifteen. That constant is the reason the figure has been copied for two thousand years and the reason the positions are called palaces rather than cells.

Each palace shows its own digit repeated as many times as the converted date contains it, so three fours read as 444 and a palace the date did not reach stays empty. The empty palaces are part of the reading rather than a shortfall in the drawing.

How the square is read

A filled palace is read as a theme the date carries, and a repeated digit as that theme carrying emphasis rather than merit. An empty palace is read as a theme the date did not take up. None of the three is a score, and the tradition attaches no ranking to a full square over a sparse one.

Where the reading of a palace comes from matters more than it sounds: the meanings are the Eastern set, tied to the classical arrangement, and they do not transfer to the Pythagorean square even though both are three by three. Reading one figure with the other's vocabulary is the commonest way two calculators end up disagreeing about the same person.

This square and the Lo Shu grid are not the same page

The other Lo Shu page on this site takes the Gregorian date exactly as written, adds Mulank and Bhagyank, and reads the missing digits — the reading published in India. This page converts to the Chinese calendar first and reads palaces. Same name in circulation, two methods, two different squares from one birthday.

If you want the reading that starts from your written date, use the grid. If you want the Eastern reading with the conversion, this is it. Running both is reasonable and will produce two different drawings; neither corrects the other.

Frequently asked

Why is the date on screen not the date I entered?
Because the square is built from the Chinese-calendar version of your birthday, and the page shows that converted date so the result can be checked. The conversion is a lookup table, not a formula you can run in your head.
Why does my square differ from one I built by hand?
Almost always because the hand-built one used the written date. Convert first, then fill the palaces, and the two will agree.
What is the 4-9-2 / 3-5-7 / 8-1-6 order for?
It is the classical arrangement in which every row, column and diagonal sums to fifteen. The palace meanings are attached to those positions, so renumbering the grid sequentially would detach them.
Is an empty palace a weakness?
The tradition reads it as a theme the date did not take up, not as a deficit to correct. How many palaces fill depends on how many distinct digits the converted date happens to contain.
Can I use Pythagorean square meanings here?
They belong to a different figure. Both are three by three, but the palace meanings are the Eastern set tied to the classical arrangement, and mixing the two vocabularies is the usual reason two readings of one person disagree.
How is this different from the Lo Shu grid page?
That page reads the Gregorian date as written and adds Mulank and Bhagyank; this one converts to the Chinese calendar and reads palaces. Two methods that share a name, and two different squares from the same birthday.

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