# Periodic Chart Grid Found in the Lo Shu

Periodic Chart Grid Found in the Lo Shu. Simple knowledge of arithmetic and geometry is all that is required here.

First, what is the Lo shu? The ancient Chinese mathematical and divine  art of geomancy.  John Michell defines geomancy as  the placement of objects in relation to the flow of qi () “natural energy”.

The prime periodic chart grid is the 1st number square, being the 3 x 3. All others relate to this prime number square. Ancients preferred using these seven. Larger number squares had specialized uses.

### Seven Ancient Number Squares for Reference

 4 9 2 3 5 7 8 1 6
 2 16 13 3 11 5 8 10 7 9 12 6 14 4 1 15
 1 23 16 4 21 15 14 7 18 11 24 17 13 9 2 20 8 19 12 6 5 3 10 22 25
 13 22 18 27 11 20 31 4 36 9 29 2 12 21 14 23 16 25 30 3 5 32 34 7 17 26 10 19 15 24 8 35 28 1 6 33
 46 8 16 20 29 7 49 3 40 35 36 18 41 2 44 12 33 23 19 38 6 28 26 11 25 39 24 22 5 37 31 27 17 13 45 48 9 15 14 32 10 47 1 43 34 30 21 42 4
 61 3 2 64 57 7 6 60 12 54 55 9 16 50 51 13 20 46 47 17 24 42 43 21 37 27 26 40 33 31 30 36 29 35 34 32 25 39 38 28 44 22 23 41 48 18 19 45 52 14 15 49 56 10 11 53 5 59 58 8 1 63 62 4
 31 76 13 36 81 18 29 74 11 22 40 58 27 45 63 20 38 56 67 4 49 72 9 54 65 2 47 30 75 12 32 77 14 34 79 16 21 39 57 23 41 59 25 43 61 66 3 48 68 5 50 70 7 52 35 80 17 28 73 10 33 78 15 26 44 62 19 37 55 24 42 60 71 8 53 64 1 46 69 6 51

### Periodic Chart Grid

Periodic Chart comes to life on the first number square.  Vertical differences use numbers 2,8,8, 18, 18,32,32…Two plus eight plus eight equal 18, so eighteen and thirty-two become the two primary vertical number differences  on the chart.  The diagonal that traverses the 3 x 3 number square is longer by the √2.  Thus 3 x √2 = 4.2426…That is the square root of 18.

Thirty two uses the following grid formula: Around the outside of the grid, draw a line from  2 to 8. Make a second line from 8 to 6. Then draw the diagonal. Then, 3 + 3 + 4.2426…= 10.24…By number, 32 x 32 = 1024. Of course this can also be done from the other side.

Now the questions become:

1. How ignorant really were the ancients?
2. Could they have been smarter than us?
3. Finally could there have been an advanced civilization that used number squares as modus operandi?