File:Simplest-linear-interlacing-knotwork.svg

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Description

Simplest linear interlacing patterns (knotwork), with 2 strands, 3 strands, and 4 strands. Note that the colorings in this image ignore the possibility that some of the strands might be connected together at the ends (or as part of a larger pattern).
The linear interlacing of two strands has the property that it can be unraveled simply by untwisting (i.e. without needing to bring in an end of one of the strands).
The linear interlacing (or braid) of three strands has the property that no two strands are mutually intertwined -- as seen at each crossing in the image, blue is always on top of green, green is always on top of red, and red is always on top of blue. This can be loosely considered to be a "Borromean" or "Brunnian" feature...

The linear interlacing of four strands has the property that each of the strands is mutually intertwined with all three of the other strands (i.e. each color in the image has some crossings where it is beneath and in other cases on top of each of the other colors).
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Source

Own work

Loosely based on black-and-white explanatory diagrams (of completely different visual appearance) on page 116 of "Celtic Art: The Methods of Construction" by George Bain.
Author AnonMoos
Permission
(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Other versions
Knotwork lower-case "k" using 2- and 4-ribbon patterns
Source code
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PostScript

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current20:32, 10 April 2023Thumbnail for version as of 20:32, 10 April 2023901 × 672 (28 KB)AnonMoos (talk | contribs){{Information |Description=Simplest linear interlacing patterns (knotwork), with 2 strands, 3 strands, and 4 strands. Note that the colorings in this image ignore the possibility that some of the strands might be connected together at the ends (or as part of a larger pattern).<br> The linear interlacing of two strands has the property that it can be unraveled simply by untwisting (i.e. without needing to bring in an end of one of the strands).<br> The linear interlacing (or braid) of three s...

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