The Jupiter Kamea: the 4×4 Magic Square and How It Is Traced

The jupiter kamea is the planetary magic square of order 4: sixteen cells, the numbers 1 to 16, and a line sum of 34. In the tradition it belongs to Jupiter, and Luckwell uses it as the drawing board for the luck and prosperity sigils. This page sets out where the square comes from, what its numbers are, and how a name is traced across it.

What a kamea is, and the history of this square

A kamea is a magic square assigned to a planet. Each row, each column and each main diagonal adds up to the same number. The seven planetary squares have orders 3 to 9, and Jupiter holds order 4. The general subject is described in the Wikipedia article on magic squares.

The lineage usually given for these squares runs through a chain of names: Jābir, al-Ghazālī, Ibn Zarkali, al-Būnī, the Picatrix, and Paracelsus. It ends with Agrippa, who prints the seven tables in his Book II, chapter xxii, in 1533. This archive does not add dates or details beyond that chain. Luckwell takes its numbers from Agrippa's tables as transcribed by Peterson from the 1651 edition.

In the Key of Solomon, Jupiter's operations include honours, acquiring riches, forming friendships and achieving what one desires. Agrippa lists the virtues of the planet's table as gain, riches, favour, love, peace and concord; he adds that it appeases enemies and confirms honours. These are the traditional attributions. Luckwell repeats them as history, not as a claim about anyone's life. More on the planet itself is on the page Jupiter in the tradition.

The grid of the Jupiter kamea

The square, as Luckwell stores it, reads row by row:

1. 4, 14, 15, 1
2. 9, 7, 6, 12
3. 5, 11, 10, 8
4. 16, 2, 3, 13

Every row adds to 34, and Luckwell's data check confirms the square as verified. The sixteen cells together total 136, which is 4 × 34.

Agrippa's table attaches an intelligence to the square: Iophiel, in Hebrew יהפיאל. The letters of that name add up to 136, the same number as the total of the whole grid. The divine names on the table follow the same pattern of numbers: Abba אבא (4), Hoh הוה and Ahi אהי (16), and El Ab אל אב (34). The metal is given differently by two sources: silver in Agrippa, tin in the Key of Solomon. The Key of Solomon and the Golden Dawn both give the colour blue, and the traditional stones listed in Luckwell's data are sapphire, lapis and amethyst.

How to trace a name on the Jupiter kamea

Tracing turns a word into a line drawn across the grid. The steps are these.

1. Take the letters of the name (and of the intention sentence, if there is one). Keep letters only, and remove repeated letters while keeping the order of first appearance. On a 4×4 square Luckwell caps this list at 10 letters.
2. Give each letter its number. For Latin letters Luckwell uses Agrippa's table in II.xx: A is 1, B 2, C 3, D 4, E 5, F 6, G 7, H 8, I 9, K 10, L 20, M 30, N 40, O 50, P 60, Q 70, R 80, S 90, T 100, V 200, X 300, Y 400 and Z 500. Agrippa's alphabet has 23 letters, so J, U and W are folded here into I, V and V. Hebrew letters use standard gematria.
3. Reduce each number until it fits the square. This is the Aiq Bekar step, in the Golden Dawn convention: while the value is larger than 16, divide by ten and drop the remainder. So 20 becomes 2, 200 becomes 20 and then 2, and 500 becomes 50 and then 5.
4. Find the cell that holds the reduced number and mark its centre.
5. Join the cell centres with straight segments, in the order of the letters.
6. Mark the ends. A small circle sits on the first cell, a short bar on the last, and a loop on any cell that is visited again.

An illustration with the word LUCK: L is 20, reduced to 2; U is 200, reduced to 20 and then 2; C is 3; K is 10. The line starts at cell 2 with a circle, loops there once because U lands on the same cell, runs to cell 3, and ends with a bar at cell 10.

What the kamea gives a Luckwell sigil

The traced line is the skeleton of the sigil. Every other layer, such as the rings, the rune and the accent lines, is arranged around it. Because the skeleton comes from letters and a fixed square, the same name and the same intention always give the same line, and changing one letter changes the line.

The plan you choose decides how the skeleton is repeated. On the day plan it is mirrored 2×. On the week plan it is mirrored 4× and an outer ring of dots is added, changing a little each day. On the month plan it is mirrored 8×, with a 24-petal lotus ring and a star polygon, and a new face each morning. Mirroring is a matter of composition: it gives the figure symmetry and does not change the underlying path.

How Luckwell builds it

In the engine, the letter core is built from the owner's name and the intention sentence. Letters are reduced to a first-appearance list, turned into numbers by Agrippa's table, reduced by Aiq Bekar and traced on the kamea that matches the intention's planet. The Jupiter 4×4 square is used by two of Luckwell's twelve intentions, luck and prosperity. The tags attached to the planet in Luckwell's data are luck, prosperity, honour, growth and friendship; these are routing labels chosen by Luckwell.

The same square carries a second trace. The intention's 72-Name is chosen from a fixed subset by a hash of the birth date and the intention, so it stays the same for one person and one intention. Its three letters sit on the outer ring and are traced on the same kamea in the accent colour. For a luck sigil, see also the sigil for luck, and for the other squares and symbols, the Luckwell archive index. If you would like to see your own name traced on this square, you can forge your own sigil.

FAQ

Luckwell is for entertainment and self-reflection; a sigil is a focus for your own intention, not a promise about health, money or the outcome of any event; 16+.