Kameas

     As far as I know Kameas are nothing more than a more mystical name for magick squares.  These were used by medieval and classical numerologists, magicians, and alchemists for the making of talismans.  Through my research I've found that the real authority on these squares seems to be Cornelius Agrippa.  Don't get me wrong Agrippa didn't 'invent' these squares, they have been around for a very long time.  There are many variations of the magick squares, however if you were to look them up in most books they are wrong!!!  If you have read any of my site at all you will find that I really don't say that often, however in this case it is warranted. 

    If you are curious about it, look in just about any book and the errors will be clear.  For instance, there are many times when the same number is used 2 times while others aren't used at all.  Sometimes the pattern within the squares do not hold.  Most people think that they just add up and down to certain numbers.  There are many more patterns than that.  Check opposite corners and opposite sides diagonally. These are just a few of the patterns.

    As to why this happened I'm not really sure.  It could be that their significance is truly profound, and that certain magicians didn't want people who didn't truly know what they were for, or how to use them properly, to get their hands on them.  So they created an alternate square that meets the minimum requirements of adding up and down, left and right, but didn't hold all the patterns.  Another possible cause was that someone very stupid a long time ago copied the work of some great people but made a transposition error that they were not able to catch.  And later people then copied these people's work and just continued the errors because they were 'great magicians' or it was based on a 'great magician's ' work, and they never checked it out.  Or they just thought that was the way it was supposed to be.  None of these 'answers' are right.  They are mistakes.

    There are three types of squares, two of which are 'perfect', and one of which is kind of messed up, but if you actually try to figure it out for yourselves you will see where the patterns break down and that some transpositions had to be made to make it work.

    The first is an 'Odd' square, this one is one of the 'perfect' ones.  Construct a grid to the order of magnitude that you wish, i.e. the Mars Square which is 5X5...

 

 

    Next, place the number 1 in the middle cell of the top row...

 

		1

    Place the following numbers in order along the diagonal that slopes up and to the right, except...

    -When the top row is reached write the next number in the bottom row as if it were above the top row

    -When the far right column is reached, put the next number in the far left column as if it were outside the right column.

    -When a cell is reached that already has a number in it, drop one square down and continue up and right diagonally as before.

 

17	24	1	8	15
23	5	7	14	16
4	6	13	20	22
10	12	19	21	3
11	18	25	2	9

    Now Agrippa modified this by going down and to the right from the cell below the center cell, and dropping two cells.  (An easy way to think of this is for every odd number it goes up from the bottom center square, for example a 5 (one up from three) will go in the second row from the bottom and the center square.

 

11	24	7	20	3
4	12	25	8	16
17	5	13	21	9
10	18	1	14	22
23	6	19	2	15

 

    The next 'perfect' set of squares are the doubly square Kameas.  For example a square where you can divide it through the center with a cross and end up with four even squares with an even root. (examples a 4X4 and an 8X8).

    Construct the grid...

 

    Place consecutive numbers in the lower- left corner beginning with 1 and go across to the right.  When finished go to the next row (above) and continue with the pattern from left to right...

 

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

 

Invert all diagonal numbers with their opposites across the center intersection...

 

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

 

 

    Now the 8X8 square is a little more confusing, you start off doing the exact same thing, however when you finish that you must then swap the other diagonals in each "mini-square" by taking the inner square (in red) and reversing it both left and right and up and down, (I know sounds confusing)...

 

57	58	59	60	61	62	63	64
49	50	51	52	53	54	55	56
41	42	43	44	45	46	47	48
33	34	35	36	37	38	39	40
25	26	27	28	29	30	31	32
17	18	19	20	21	22	23	24
9	10	11	12	13	14	15	16
1	2	3	4	5	6	7	8

 

 

    All of the empty squares above need to be swapped on their diagonal... Thus the finished result below...

   

 

Now for the confusing one, the singly square...

    The only singly square one that is used in magick is the table of the sun.  It is a six by six so that is the one we will use.

    As always construct the grid first...

 

 

Place consecutive numbers in the lower- left corner beginning with 1 and go across to the right.  When finished go to the next row (above) and continue with the pattern from left to right (just like the doubly square)...

 

Invert all diagonal numbers with their opposites across the center intersection...

 

    However, inverting the secondary diagonals will not make the square a magick square.  So Agrippa saw that the secondary grids (shown above in different colors) are actually order 3 squares.  So he used the Saturn Seal to make two inversions using three sets of numbers.  Hopefully I'll be getting the seals on the planet pages soon, but basically the lower left corner uses two interlocked "V's" with the numbers 9-2-13, and 7-14-3.  He inverted them 90 degrees and swapped them with the two sets of three in the upper left and lower right mini-squares.  9-13-2 and 5-18-10 in the lower right, and 7-3-14 and 25-33-20 in the upper left.

So after all that you get the finished square below...