The following R&D paper is a major part of the research into the Physics of Thought. ©Copyright 1978 - 2002  Advanced Research Consultants, Inc.  P1-3, P4-6, P7-10, P11-16, P17-20

We still have other directions (addresses).  We can read 13 of 16 words in the +XY direction as shown in Figure 7 and Table 5.

            Figure 7

 

             Table 5

NR.

Read

 Address

Sequence of cores read

 

 

SC

Dir

Binary

Hex

  0

 2

+XY

   2,7,12,1 

 0000

 0

  1

12

+XY

  12,1,6,11

 0001

 1

  2

 4

+XY

    4,3,8,2

 0010

 2

  3

 1

+XY

  1,6,11,16

 0011

 3

  4

 3

+XY

    3,8,2,7

 0100

 4

  -

10

+XY

 10,15,9,14

 0111

 7

  -

11

+XY

 11,16,5,10

 1110

 E

  7

 6

+XY

  6,11,16,5

 0111

 7

  8

 8

+XY

   8,2,7,12

 1000

 8

  9

13

+XY

   13,4,3,8

 1001

 9

  -

 7

+XY

   7,12,1,6

 0000

 0

 11

 5

+XY

  5,10,15,9

 1011

 B

 12

14

+XY

  14,13,4,3

 1100

 C

 13

16

+XY

 16,5,10,15

 1101

 D

 14

 9

+XY

  9,14,13,4

 1110

 E

 15

15

+XY

 15,9,14,13

 1111

 F

©Copyright 2002 Advanced Research Consultants, Inc.                                             Page 7 of 20 pages

We still have other directions (addresses).  We can read 13 of 16 words in the -XY direction as shown in Figure 8 and Table 6.

             Figure 8

 

            Table 6

NR.

Read

Address

Sequence of cores read

 

 

SC

Dir

Binary

Hex

  0

 6

-XY

   6,1,12,7 

 0000

 0

  1

12

-XY

   12,7,2,8

 0001

 1

  2

 7

-XY

    7,2,8,3

 0010

 2

  3

 3

-XY

  3,4,13,14

 0011

 3

  4

 2

-XY

    2,8,3,4

 0100

 4

  -

 5

-XY

  5,16,11,6

 1110

 7

  -

10

-XY

 10,5,16,11

 0111

  E

  7

 4

-XY

  4,13,14,9

 0111

 7

  8

11

-XY

  11,6,1,12

 1000

 8

  9

 8

-XY

   8,3,4,13

 1001

 9

  -

 1

-XY

   1,12,7,2

 0000

 0

 11

15

-XY

 15,10,5,16

 1011

 B

 12

16

-XY

  16,11,6,1

 1100

 C

 13

 9

-XY

  9,15,10,5

 1101

 D

 14

14

-XY

 14,9,15,10

 1110

 E

 15

13

-XY

 13,14,9,15

 1111

 F

©Copyright 2002 Advanced Research Consultants, Inc.                                             Page 8 of 20 pages

There are two more directions (addresses).  We can read 12 of 16 words in the +YX direction as shown in Figure 9 and Table 7.

                Figure 9

 

                Table 7

NR.

Read

Addres s

Sequence of cores read

 

 

SC

Dir

Binary

Hex

  -

 3

+YX

  3,13,10,7

 0100

 4

  1

10

+YX

  10,7,4,14

 0001

 1

  2

 6

+YX

  6,3,13,10

 0010

 2

  3

 7

+YX

  7,4,14,11

 0011

 3

  4

 2

+YX

    2,9,6,3

 0100

 4

  5

 1

+YX

    1,5,2,9 

 0101

 5

  -

16

+YX

   16,1,5,2

 0010

 2

  7

 4

+YX

  4,14,11,8

 0111

 7

  8

13

+YX

  13,10,7,4

 1000

 8

  9

 9

+YX

   9,6,3,13

 1001

 9

 10

 5

+YX

    5,2,9,6

 1010

 A

  -

12

+YX

  12,16,1,5

 0101

 5

  -

15

+YX

 15,12,16,1

 1010

 A

 13

 8

+YX

 8,15,12,16

 1101

 D

 14

11

+YX

 11,8,15,12

 1110

 E

 15

14

+YX

 14,11,8,15

 1111

 F

©Copyright 2002 Advanced Research Consultants, Inc.                                             Page 9 of 20 pages

Finally we stop with one more direction (address).  We can read 12 of 16 words in the -YX direction as shown in Figure 10 and Table 8.

             Figure 10

 

             Table 8

NR.

Read

Address

Sequence of cores read

 

 

SC

Dir

Binary

Hex

-

 6

-YX

    6,9,2,5

 0101

 5

  1

 4

-YX

  4,7,10,13

 0001

 1

  2

 3

-YX

    3,6,9,2

 0010

 2

  -

 7

-YX

  7,10,13,3

 0010

 2

  4

10

-YX

  10,13,3,6

 0100

 4

  5

 1

-YX

 1,16,12,15 

 0101

 5

  -

 2

-YX

   2,5,1,16

 0101

 5

  7

12

-YX

 12,15,8,11

 0111

 7

  8

14

-YX

  14,4,7,10

 1000

 8

  9

13

-YX

   13,3,6,9

 1001

 9

 10

 9

-YX

    9,2,5,1

 1010

 A

 11

16

-YX

 16,12,15,8

 1011

 B

 12

11

-YX

  11,14,4,7

 1100

 C

  -

 5

-YX

  5,1,16,12

 1010

 A

 14

 8

-YX

  8,11,14,4

 1110

 E

 15

15

-YX

 15,8,11,14

 1111

 F

We have read 110 words (4-bit) from this 4 X 4  fixed core array. Each has a unique address including the words in red. 

©Copyright 2002 Advanced Research Consultants, Inc.                                             Page 10 of 20 pages