 (Knotscape image)
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See the full Thistlethwaite Link Table (up to 11 crossings).
Visit L4a1 at Knotilus!
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L4a1 is in the Rolfsen table of links. It frequently occurs in late Roman mosaics and some medieval decorations. In this context, it is called the "Solomon's knot" (sigillum Salomonis) or "guilloche knot". It is also the "Kramo-bone" symbol (meaning "one being bad makes all appear to be bad") of the Adinkra symbol system. Link L10a101 contains multiple L4a1 configurations.
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A Kolam with two cycles [1]
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Mosaic seen at Kibbutz Lahav [3]
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Carving above door of church in Italy
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(crossings along one side)
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Linked hearts used as symbol of Vendée region of France
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Composed of intersecting circles.
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Decorative fitting closely within square.
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Made of two (impossible) Penrose rectangles.
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Array of "Solomon's knots" forming overall circular patterns.
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Configuration of three L4a1
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Configuration of four L4a1
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Rotated knotwork cross with eight L4a1 sub-configurations
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Knotopologynn-diagram for "Solomon's knots"
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The coefficients of the monomials are shown, along with their alternating sums (fixed , alternation over ).
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-4 | -3 | -2 | -1 | 0 | χ |
0 | | | | | 1 | 1 |
-2 | | | | 1 | 1 | 0 |
-4 | | | | | | 0 |
-6 | | | 1 | | | 1 |
-8 | 1 | | | | | 1 |
-10 | 1 | | | | | 1 |
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