Franklin’s Construction Method Part 2
Franklin’s original 16x16 broken down
| A |
|
12 |
13 |
14 |
15 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
|
3 |
2 |
1 |
0 |
15 |
14 |
13 |
12 |
11 |
10 |
9 |
8 |
7 |
6 |
5 |
4 |
|
12 |
13 |
14 |
15 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
|
3 |
2 |
1 |
0 |
15 |
14 |
13 |
12 |
11 |
10 |
9 |
8 |
7 |
6 |
5 |
4 |
|
12 |
13 |
14 |
15 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
|
3 |
2 |
1 |
0 |
15 |
14 |
13 |
12 |
11 |
10 |
9 |
8 |
7 |
6 |
5 |
4 |
|
12 |
13 |
14 |
15 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
|
3 |
2 |
1 |
0 |
15 |
14 |
13 |
12 |
11 |
10 |
9 |
8 |
7 |
6 |
5 |
4 |
|
12 |
13 |
14 |
15 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
|
3 |
2 |
1 |
0 |
15 |
14 |
13 |
12 |
11 |
10 |
9 |
8 |
7 |
6 |
5 |
4 |
|
12 |
13 |
14 |
15 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
|
3 |
2 |
1 |
0 |
15 |
14 |
13 |
12 |
11 |
10 |
9 |
8 |
7 |
6 |
5 |
4 |
|
12 |
13 |
14 |
15 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
|
3 |
2 |
1 |
0 |
15 |
14 |
13 |
12 |
11 |
10 |
9 |
8 |
7 |
6 |
5 |
4 |
|
12 |
13 |
14 |
15 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
|
3 |
2 |
1 |
0 |
15 |
14 |
13 |
12 |
11 |
10 |
9 |
8 |
7 |
6 |
5 |
4 | |
|
| B |
|
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
|
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
|
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
|
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
|
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
|
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
|
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
|
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
|
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
|
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
|
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
|
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
|
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
|
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
|
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
|
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
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This square is the same as his 8x8. The differences are starting the consecutive sequence in row one of square A in column five to produce half rows with half row totals and placing complimentary pairs in column one of square B in rows one and five, two and six, three and seven, and four and eight, repeating that pattern in rows nine to sixteen.
Some materials on this site are Copyright © Donald Morris 2005 all rights reserved
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