SOLID SINNET VARIATIONS FOR AN AboK # 3037 BRAIDING TABLE Norbert Trupiano aka Nono – 2008 August – France

The realisation of ABoK # 3082 (40 spaces and 61 strands) five branches star is fairly simple. When working alone with the table, the most difficult part is to not skip a line. This braid is built with 4 rows (black arrows on the diagram) around a heart of 4 rows (red arrows).

Let us review some basic notions outlined by Clifford W. ASHLEY in his Ashley Book of Knots (ABoK). •

I offer with the second table a variant with one more rows in the diagram (will be # 3082-2) (50 spaces and 82 strands).

No space of the circumference is left empty when the strands are moved. This explains the disparity of the strands in the spaces around the circumference. In fact, the spaces of which we will move the strands first have an extra strand so that they do not remain empty at the start of the braid (the points have an extra strand). The spaces on the table are numbered in counterclockwise direction. The odd numbered strands are moved going around to the right, counter-clockwise. The even numbered strands are moved to the left, clockwise. The strands are moved around following the FIFO rule : "first come, first-out » (Clifford Ashley describes this system in the moves of pattern ABoK # 3041)

• • • •

More difficult will bean other variant, the 8 branches star sinnet (will be # 3082-3) with only 4 rows, with which I obtained 64 spaces and 97 strands. For tyers with computers at their disposal, I propose an Excel spreadsheet which allows one not to cross one’s wires ( not to mix one’s brushes in French ) while making ABoK # 3042 to # 3082. To get the spreadsheet please send me a personal message with your mail address using my mail on the KHWW (www.khww.net) search for “Norbert” in the member list. Translation by nautile 31

2 5

32

2 6

2 4

33

2 7

3 1

3 0

41 2 0

2 1

1 9

1 7 1 6

3 5

1 5 3 7

1 3

3

1 0

23 22 21

20 44

18 46

16

14

6 5 4

1

17

15

3

8

2

7

13 8 12

9 10

11

9

Figure 2 : # 3082-2 - 82 STRANDS PENTAGONAL SINNET

1 64

2

63 59

56

60

3

62

4 5

61

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10 11

55

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15 16

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49 47

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45

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21 22

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43 42 41

24

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50

Figure 1 : # 3082 - 61 STRANDS PENTALPHA

40

25

43

49

1 1

1

46

26

42

45

6 7

48

36

48

5

2

37

47

4

40

52

38

1 2

3 9

58

39

1 4

3 8

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40

27

1 8

3 4

3 6

28

35 2 2

2 9

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34

2 3

2 8 3 3

30

39

38

29

37

30

36

24 27

26

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31

35 34

28

32 33

Figure 3 : # 3082-3 : 97 STRANDS EIGHT POINTS

# 3082 : 61 STRANDS PENTALPHA Face

strands

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

3 1 2 1 1 1 2 1 3 1 2 1 1 1 2 1 3 1 2 1 1 2 1 2 2 1 2 1 2 1 2 1 2 2 1 2 1 1 2 1

# 3082-2 : 82 STRANDS PENTAGONAL SINNET

move 34 31 36 29 1 24 3 22 2 39 4 37 9 32 11 30 10 7 12 5 17 40 19 38 18 15 20 13 25 8 27 6 26 23 28 21 33 16 35 14



 



 



 



 



 



Face strands 32 35 30 37 25 2 23 4 40 3 38 5 33 10 31 12 8 11 6 13 1 18 39 20 16 19 14 21 9 26 7 28 24 27 22 29 17 34 15 36

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3 1 2 1 2 2 2 1 2 1 3 1 2 1 2 2 2 1 2 1 3 1 2 1 2 2 1 2 1 2 2 1 2 1 2 1 2 1 2 1 2 2 1 2 1 2 2 1 2 1

# 3082-3 : 97 STRANDS EIGHT POINTS Face strands move

move 42 39 44 37 46 1 30 3 28 5 2 49 4 47 6 11 40 13 38 15 12 9 14 7 16 21 50 23 48 25 22 19 24 17 26 31 10 33 8 35 32 29 34 27 36 41 20 43 18 45




























40 43 38 45 36 31 2 29 4 27 50 3 48 5 46 41 12 39 14 37 10 13 8 15 6 1 22 49 24 47 20 23 18 25 16 11 32 9 34 7 30 33 28 35 26 21 42 19 44 17

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

3 1 2 1 1 1 2 1 3 1 2 1 1 1 2 1 3 1 2 1 1 1 2 1 3 1 2 1 1 1 2 1 3 1 2 1 1 2 1 2 2 1 2 1 1 2 1 2 2 1 2 1 2 1 2 1 2 2 1 2 1 1 2 1

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



 



 



 



 



 



 



 



 



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