Katäfalsen: Difference between revisions

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The script uses five strands, which will be pictured vertically and numbered from left to right in this article. Four crossings of adjacent strands are possible, these ''elementary braids'' will be named s<sub>1</sub>, s<sub>2</sub>, s<sub>3</sub> and s<sub>4</sub>. It is important that the left strand in such crossings does always cross over the right one. The letter patterns are concatenations of elementary braids as summarised in the following table:
The script uses five strands, which will be pictured vertically and numbered from left to right in this article. Four crossings of adjacent strands are possible, these ''elementary braids'' will be named s<sub>1</sub>, s<sub>2</sub>, s<sub>3</sub> and s<sub>4</sub>. It is important that the left strand in such crossings does always cross over the right one. The letter patterns are concatenations of elementary braids as summarised in the following table:


{| class="wikitable"
!Representation
!Transliteration
!Initial set
!Final set
|-
|s<sub>1</sub>
|j
|{1}
|{1}
|-
|s<sub>2</sub>
|w
|{2}
|{2}
|-
|s<sub>3</sub>
|{3}
|{3}
|-
|s<sub>4</sub>
|{4}
|{4}
|-
|s<sub>1</sub>s<sub>3</sub>
|p
|{1, 3}
|{1, 3}
|-
|s<sub>1</sub>s<sub>4</sub>
|t
|{1, 4}
|{1, 4}
|-
|s<sub>2</sub>s<sub>4</sub>
|k
|{2, 4}
|{2, 4}
|-
|s<sub>1</sub>s<sub>2</sub>s<sub>1</sub>
|b
|{1, 2}
|{1, 2}
|-
|s<sub>2</sub>s<sub>3</sub>s<sub>2</sub>
|d
|{2, 3}
|{2, 3}
|-
|s<sub>3</sub>s<sub>4</sub>s<sub>3</sub>
|g
|{3, 4}
|{3, 4}
|-
|s<sub>1</sub>s<sub>3</sub>s<sub>1</sub>s<sub>3</sub>
|f
|{1, 3}
|{1, 3}
|-
|s<sub>1</sub>s<sub>4</sub>s<sub>1</sub>s<sub>4</sub>
|s
|{1, 4}
|{1, 4}
|-
|s<sub>2</sub>s<sub>4</sub>s<sub>2</sub>s<sub>4</sub>
|h
|{2, 4}
|{2, 4}
|}




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