Ornamental depictions of links with 12 crossings: Difference between revisions
mNo edit summary |
No edit summary |
||
| (45 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
Some decorative depictions of links with 12 crossings: |
Some decorative depictions of links with 12 crossings : |
||
;I) With two component |
|||
;a) Components are loops |
|||
<gallery> |
<gallery> |
||
| ⚫ | |||
Image:Two-interlaced-hexagrams.png|Two interlaced open hexagrams |
Image:Two-interlaced-hexagrams.png|Two interlaced open hexagrams |
||
Image:Ccross-two-link.png|Quasi-Celtic two-loop link |
|||
Image:12crossing-twosymmetric-link.png|Two loops |
|||
Image:Link12-round.png|Two loops |
|||
Image:Three-L4a1.png|Two-loop link |
|||
Image:Four-loop-interlaced-circle.png|Four-fold looping interlaced with circle (two-loop link) |
|||
Image:Noeudmongol.jpg|Mongolian ornament, equivalent to preceding |
|||
Image:Pleter50.png|Equivalent to preceding |
|||
Image:12-crossing-link Tallara Lousame Galicia Spain.jpg|Sculpture of preceding |
|||
Image:Carreau.jpg|Tiling ; equivalent to preceding |
|||
Image:assiette.sicile.jpg|Sicilian plate, also equivalent |
|||
Image:12crossings-pseudo-Celtic-link.png|One crossing of [[K13a1345]] eliminated, converting from knot to link... |
|||
</gallery> |
|||
;b) One component is knoted |
|||
<gallery> |
|||
| ⚫ | |||
Image:Trefoil-in-trefoil.png|Trefoil interlinked with smaller trefoil |
|||
Image:Two-trefoils-triangles-link.png|Two interlinked trefoils |
|||
Image:12crossing-link-inrectangle.png|Two interlinked trefoils inside rectangle |
|||
Image:Two-trefoils-granny-12crossings.png|Sum of two trefoils linked with a loop |
|||
</gallery> |
|||
;II) With three components |
|||
<gallery> |
|||
| ⚫ | |||
Image:Triplesalomon.jpeg|Same link in this work of the Mexican artist Daniela Azuela |
|||
Image:Cross of Uppland Runestone-.jpg|Ca. 1000 A.D. runestone, equivalent to preceding |
|||
Image:12-crossings-squares-16.png|Equivalent link in square form |
|||
Image:Kirche_Wien.jpg|in the Greek Orthodox Church in Wien |
|||
Image:Three-loop-link-12-crossings-alternate.png|(alternate version) |
|||
Image:Brunnian-3-not-Borromean.gif|Three-component [[Brunnian link]] |
Image:Brunnian-3-not-Borromean.gif|Three-component [[Brunnian link]] |
||
Image:Brunnian-link-12crossings-nonBorromean-quasi-Arabesque.png|More ornate Brunnian link depiction |
|||
| ⚫ | |||
Image:Three-L4a1-config.png|Three-loop link with three [[L4a1]] configurations |
Image:Three-L4a1-config.png|Three-loop link with three [[L4a1]] configurations |
||
Image: |
Image:12crossings-pseudo-Borromean.png|Three-loop link |
||
Image:Triang-two-circ.png|Triangle and two circles |
|||
Image:12crossings-threesymmetric-link.png|Three loops symmetric |
|||
Image:12crossings-decorative-threefold-incircle-link.png|Three loops symmetric |
|||
Image:Two-trefoils-loop-12crossings.png|Two trefoils and one loop |
|||
</gallery> |
</gallery> |
||
;III) With four loops |
|||
<gallery> |
|||
Image:4squares-12crossings.png|Four linked squares (alternated) |
|||
Image:4intersecting-rounded-rectangles.png|Variant |
|||
Image:fourcircles.jpg|Variant with circles |
|||
Image:noeudsCarres-2.png|Variant with rectangles as an impossible object |
|||
Image:adiadgib.jpg|Variant on the sphere ; the crossings are the vertices of the cuboctahedron |
|||
Image:Borromean-plus-triangle.png|Four loops (Borromean + triangle) |
|||
Image:stemariemajeure.jpg|Basilica of Saint Mary Major (not alternated) |
|||
</gallery> |
|||
;IV) With six loops |
|||
<gallery> |
|||
Image:Six-rings.png|Six rings |
|||
Image:Six-link-closed-chain-Hisham-Umayyad-palace-Jericho.jpg|Decoration equivalent to a circle of six interlinked loops |
|||
</gallery> |
|||
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]]. |
|||
Latest revision as of 10:06, 28 April 2020
Some decorative depictions of links with 12 crossings :
- I) With two component
- 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
- II) With three components
3-loop link in the form of a quasi-Celtic knot
Same link in this work of the Mexican artist Daniela Azuela
Ca. 1000 A.D. runestone, equivalent to preceding
Equivalent link in square form
in the Greek Orthodox Church in Wien
(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
- III) With four loops
Four linked squares (alternated)
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)
Basilica of Saint Mary Major (not alternated)
- IV) 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.
