Ornamental depictions of links with 12 crossings: Difference between revisions

From Knot Atlas
Jump to navigationJump to search
No edit summary
(ranking by number of loops)
Line 1: Line 1:
Some decorative depictions of links with 12 crossings:
Some decorative depictions of links with 12 crossings :


With two loops
<gallery>
<gallery>
⚫
Image:Celtic-knot-square-3loops.png|3-loop link in the form of a quasi-Celtic knot
Image:Two-interlaced-hexagrams.png|Two interlaced open hexagrams
Image:Two-interlaced-hexagrams.png|Two interlaced open hexagrams
Image:Triquetra-double-interlaced.png|Two mutually-interlaced triquetras
⚫
Image:Brunnian-3-not-Borromean.gif|Three-component [[Brunnian link]]
⚫
Image:Ccross-two-link.png|Quasi-Celtic two-loop link
⚫
Image:Brunnian-link-12crossings-nonBorromean-quasi-Arabesque.png|More ornate Brunnian link depiction
Image:Triquetra-double-interlaced.png|Two mutually-interlaced triquetras.
Image:12crossing-twosymmetric-link.png|Two loops
⚫
Image:Link12-round.png|Two loops
⚫
Image:Three-L4a1-config.png|Three-loop link with three [[L4a1]] configurations
⚫
Image:Two-trefoils-triangles-link.png|Two loops, two trefoils
Image:Three-L4a1.png|Two-loop link
Image:Three-L4a1.png|Two-loop link
⚫
Image:4squares-12crossings.png|Four linked squares
⚫
Image:4intersecting-rounded-rectangles.png|Variant
⚫
Image:fourcircles.jpg|Variant with circles
⚫
Image:noeudsCarres-2.png|Variant with rectangles as an impossible object
⚫
Image:Four-loop-interlaced-circle.png|Four-fold looping interlaced with circle (two-loop link)
Image:Pleter50.png
Image:Pleter50.png
Image:12-crossing-link Tallara Lousame Galicia Spain.jpg|Sculpture of preceding
Image:12-crossing-link Tallara Lousame Galicia Spain.jpg|Sculpture of preceding
Image:Cross of Uppland Runestone-.jpg|Ca. 1000 A.D. runestone
Image:Cross of Uppland Runestone-.jpg|Ca. 1000 A.D. runestone
⚫
Image:Ccross-two-link.png|Quasi-Celtic two-loop link
⚫
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
Image:Trefoil-in-trefoil.png|Trefoil interlinked with smaller trefoil
Image:Trefoil-in-trefoil.png|Trefoil interlinked with smaller trefoil
⚫
Image:12crossings-pseudo-Celtic-link.png|One crossing of [[K13a1345]] eliminated, converting from knot to link...
</gallery>
With three loops
<gallery>
⚫
Image:Celtic-knot-square-3loops.png|3-loop link in the form of a quasi-Celtic knot
⚫
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:12-crossings-squares-16.png|3-loop link in square form
Image:12-crossings-squares-16.png|3-loop link in square form
Image:Three-loop-link-12-crossings-alternate.png|(alternate version)
Image:Three-loop-link-12-crossings-alternate.png|(alternate version)
Line 27: Line 28:
Image:12crossings-threesymmetric-link.png|Three loops symmetric
Image:12crossings-threesymmetric-link.png|Three loops symmetric
Image:12crossings-decorative-threefold-incircle-link.png|Three loops symmetric
Image:12crossings-decorative-threefold-incircle-link.png|Three loops symmetric
Image:12crossing-twosymmetric-link.png|Two loops
⚫
Image:Borromean-plus-triangle.png|Four loops (Borromean + triangle)
⚫
Image:Link12-round.png|Two loops
Image:Two-trefoils-loop-12crossings.png|Three loops, two trefoils
Image:Two-trefoils-loop-12crossings.png|Three loops, two trefoils
⚫
Image:Two-trefoils-triangles-link.png|Two loops, two trefoils
⚫
Image:Two-trefoils-granny-12crossings.png|Two trefoils on one loop linked with another loop
⚫
Image:12crossings-pseudo-Celtic-link.png|One crossing of [[K13a1345]] eliminated, converting from knot to link...
Image:12crossing-link-inrectangle.png|Two interlinked trefoils inside rectangle
Image:12crossing-link-inrectangle.png|Two interlinked trefoils inside rectangle
</gallery>
With four loops

<gallery>
⚫
Image:4squares-12crossings.png|Four linked squares
⚫
Image:4intersecting-rounded-rectangles.png|Variant
⚫
Image:fourcircles.jpg|Variant with circles
⚫
Image:noeudsCarres-2.png|Variant with rectangles as an impossible object
⚫
Image:Four-loop-interlaced-circle.png|Four-fold looping interlaced with circle (two-loop link)
⚫
Image:Borromean-plus-triangle.png|Four loops (Borromean + triangle)
⚫
Image:Two-trefoils-granny-12crossings.png|Two trefoils on one loop linked with another loop
</gallery>
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>
</gallery>


Revision as of 10:55, 31 July 2015

Some decorative depictions of links with 12 crossings :

With two loops

  • Two interlaced open hexagrams

    Two interlaced open hexagrams

  • Two mutually-interlaced triquetras

    Two mutually-interlaced triquetras

  • Quasi-Celtic two-loop link

    Quasi-Celtic two-loop link

  • Two loops

    Two loops

  • Two loops

    Two loops

  • Two loops, two trefoils

    Two loops, two trefoils

  • Two-loop link

    Two-loop link

  • Pleter50.png
  • Sculpture of preceding

    Sculpture of preceding

  • Ca. 1000 A.D. runestone

    Ca. 1000 A.D. runestone

  • Trefoil interlinked with smaller trefoil

    Trefoil interlinked with smaller trefoil

  • One crossing of K13a1345 eliminated, converting from knot to link...

    One crossing of K13a1345 eliminated, converting from knot to link...

With three loops

  • 3-loop link in the form of a quasi-Celtic knot

    3-loop link in the form of a quasi-Celtic knot

  • Three-component Brunnian link

    Three-component Brunnian link

  • More ornate Brunnian link depiction

    More ornate Brunnian link depiction

  • Three-loop link with three L4a1 configurations

    Three-loop link with three L4a1 configurations

  • 3-loop link in square form

    3-loop link in square form

  • (alternate version)

    (alternate version)

  • Three-loop link

    Three-loop link

  • Triangle and two circles

    Triangle and two circles

  • Three loops symmetric

    Three loops symmetric

  • Three loops symmetric

    Three loops symmetric

  • Three loops, two trefoils

    Three loops, two trefoils

  • Two interlinked trefoils inside rectangle

    Two interlinked trefoils inside rectangle

With four loops

  • Four linked squares

    Four linked squares

  • Variant

    Variant

  • Variant with circles

    Variant with circles

  • Variant with rectangles as an impossible object

    Variant with rectangles as an impossible object

  • Four-fold looping interlaced with circle (two-loop link)

    Four-fold looping interlaced with circle (two-loop link)

  • Four loops (Borromean + triangle)

    Four loops (Borromean + triangle)

  • Two trefoils on one loop linked with another loop

    Two trefoils on one loop linked with another loop

With six loops

  • Six rings

    Six rings

  • Decoration equivalent to a circle of six interlinked loops

    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.

Retrieved from "https://katlas.org/index.php?title=Ornamental_depictions_of_links_with_12_crossings&oldid=1723931"