Step 5. The Pattern

Previously: Step 1. Digitizing
Previously: Step 2. Visualization
Previously: Step 3. SumMatrix is defined
Previously: Step 4. Video pause

To better recognize the pattern I draw SumMatrix Level1 for cow chromosome 1:

SumMatrix Level1 has only 0 and 1 values. I took this file and put it into Excel spreadsheet.

It was fairly easy to analyze. 

Here is a picture of the resulted pattern as I was able to extract from the SumMatrix.

Definitely the pattern has 4 well distinguished objects inside (again four! Number 4 is everywhere!): 

3 "square-shape" and one "fence". Square-shapes have border thickness 16, 4, and 1. The fence-shape has thickness 1. Than is why I decided to called them S16, S4, S1, and F1.

Let's describe parameters of each of them. HEX numbers are prefixed with "0x"

Pattern S16

There are 4 squares separated by 16-number "borders".
There are 0x80 x 0x80 squares offset 0 with border width 0x10

1 stripe (width=16): 0x70 - 0x7F 

Formula:

(0x70 <= X < 0x80) OR (0x70 <= Y < 0x80)

Pattern S4

There are 4 in a row  0x40 x 0x40 squares, offset 0x20 with border width 4

4 stripes (width=4): 0x1C-0x1F, 0x5C-0x5F, 0x9C-0x9F, 0xDC-0xDF

Pattern S1

There are 16 in a row 0x10 x 0x10 squares, offset 0x8 with border width 1

16 stripes (width=1):
0x07, 0x17, 0x27, 0x37, 0x47, 0x57, 0x67, 0x77, 0x87, 0x97, 0xA7, 0xB7, 0xC7, 0xD7, 0xE7, 0xF7

Pattern F1

There are 64 only vertical stripes started from 0xC0 down to 0xFF offset 0x2 with border width 1.

I notices that 0xC0 is 1/4 from the edge. 

Maybe I'm wrong  but for symmetry keepsake I would add the same 1/4 from the edge to the horizontal side:

In this case the resulting pattern would be more symmetrical too:

Now everything is perfect and a multiple of 4!

I put pattern parameters in the table:

Pattern	Stripe width	Num of stripes per dimension	Offset	Gap	Stripe range
S16	16	1	0=128	128	0 - 255
S4	4	4	32	64	0 - 255
S1	1	16	8	16	0 - 255
F1	1	64	2	4	192 - 255

or, in HEX:

Pattern	Stripe width	Num of stripes per dimension	Offset	Gap	Stripe range
S16	0x10	0x1	0=0x80	0x80	0x0 - 0xFF
S4	0x4	0x4	0x20	0x40	0x0 - 0xFF
S1	0x1	0x10	0x8	0x10	0x0 - 0xFF
F1	0x1	0x40	0x2	0x4	0xC0 - 0xFF

Now I need to come up with explanation of the patterns in the real world.

Any ideas / hypothesis are welcomed!