Ornamental depictions of links with 12 crossings: Difference between revisions
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Some decorative depictions of links with 12 crossings : |
Some decorative depictions of links with 12 crossings : |
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With two components |
;With two components |
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a) Components are loops |
;a) Components are loops |
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<gallery> |
<gallery> |
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Image:Two-interlaced-hexagrams.png|Two interlaced open hexagrams |
Image:Two-interlaced-hexagrams.png|Two interlaced open hexagrams |
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Image:12-crossing-link Tallara Lousame Galicia Spain.jpg|Sculpture of preceding |
Image:12-crossing-link Tallara Lousame Galicia Spain.jpg|Sculpture of preceding |
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Image:Carreau.jpg|Tiling ; equivalent to preceding |
Image:Carreau.jpg|Tiling ; equivalent to preceding |
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Image:assiette.sicile.jpg| |
Image:assiette.sicile.jpg|Sicilian plate, also equivalent |
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Image:12crossings-pseudo-Celtic-link.png|One crossing of [[K13a1345]] eliminated, converting from knot to link... |
Image:12crossings-pseudo-Celtic-link.png|One crossing of [[K13a1345]] eliminated, converting from knot to link... |
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</gallery> |
</gallery> |
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b) One component is knoted |
;b) One component is knoted |
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<gallery> |
<gallery> |
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Image:Triquetra-double-interlaced.png|Two mutually-interlaced triquetras |
Image:Triquetra-double-interlaced.png|Two mutually-interlaced triquetras |
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Image:Two-trefoils-granny-12crossings.png|Sum of two trefoils linked with a loop |
Image:Two-trefoils-granny-12crossings.png|Sum of two trefoils linked with a loop |
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</gallery> |
</gallery> |
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With three components |
;With three components |
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<gallery> |
<gallery> |
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Image:Celtic-knot-square-3loops.png|3-loop link in the form of a quasi-Celtic knot |
Image:Celtic-knot-square-3loops.png|3-loop link in the form of a quasi-Celtic knot |
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Image:Two-trefoils-loop-12crossings.png|Two trefoils and one loop |
Image:Two-trefoils-loop-12crossings.png|Two trefoils and one loop |
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</gallery> |
</gallery> |
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| ⚫ | |||
| ⚫ | |||
<gallery> |
<gallery> |
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Image:4squares-12crossings.png|Four linked squares |
Image:4squares-12crossings.png|Four linked squares |
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Image:Borromean-plus-triangle.png|Four loops (Borromean + triangle) |
Image:Borromean-plus-triangle.png|Four loops (Borromean + triangle) |
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</gallery> |
</gallery> |
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With six loops |
;With six loops |
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<gallery> |
<gallery> |
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Image:Six-rings.png|Six rings |
Image:Six-rings.png|Six rings |
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Revision as of 22:59, 5 February 2017
Some decorative depictions of links with 12 crossings :
- With two components
- a) Components are loops
Two interlaced open hexagrams
Quasi-Celtic two-loop link
Two loops
Two loops
Two-loop link
Four-fold looping interlaced with circle (two-loop link)
Mongolian ornament, equivalent to preceding
Equivalent to preceding
Sculpture of preceding
Tiling ; equivalent to preceding
Sicilian plate, also equivalent
One crossing of K13a1345 eliminated, converting from knot to link...
- b) One component is knoted
Two mutually-interlaced triquetras
Trefoil interlinked with smaller trefoil
Two interlinked trefoils
Two interlinked trefoils inside rectangle
Sum of two trefoils linked with a loop
- With three components
3-loop link in the form of a quasi-Celtic knot
Ca. 1000 A.D. runestone, equivalent to preceding
Equivalent link in square form
(alternate version)
Three-component Brunnian link
More ornate Brunnian link depiction
Three-loop link with three L4a1 configurations
Three-loop link
Triangle and two circles
Three loops symmetric
Three loops symmetric
Two trefoils and one loop
- With four loops
Four linked squares
Variant
Variant with circles
Variant with rectangles as an impossible object
Variant on the sphere ; the crossings are the vertices of the cuboctahedron
Four loops (Borromean + triangle)
- With six loops
Six rings
Decoration equivalent to a circle of six interlinked loops
For ornamental depictions of knots with 12 crossings, see K12a477, K12a503, K12a541, K12a561, K12a975, K12a991, K12a1019, K12a1210, K12n242, and (non-prime) Image:Trefoil-of-trefoils.png, Image:Celtic-knot-insquare-green-transparentbg.png, Image:Three-figure8-knot triang1.png, and Image:Three-figure8-knot triang2.png.
