Ficheiro:12crossings-rose-rhodonea-limacon-symmetrical-knot.svg
Ficheiro orixinal (ficheiro SVG; resolución de 620 × 600 píxeles; tamaño do ficheiro: 50 kB)
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Resumo
| Descrición |
Decorative knot with twelve crossings, depicted with three-fold visual symmetry. The curves were generated from the polar coordinates equation r=b+sin(aθ), which is a slight generalization of the Limaçon and Rose/rhodonea curves, using parameters a=(3/5) and b=(3/2). If the three outermost curve segments which directly connect the three outer crossings are deleted, and the lines which intersect at these three outer crossings are joined together there, then you get the 9-crossing knot seen in image File:Knot-9crossings-symmetrical.svg. If everything outside of the three next-to-outermost crossings is deleted, and the lines which intersect at these three crossings are joined together there, then you get the Borromean rings configuration. If everything outside of the three next-to-inner crossings is deleted, and the lines which intersect at these three crossings are joined together there, then you get a Triquetra (topologically equivalent to a Trefoil knot). If everything outside of the three innermost crossings is deleted, and the lines which intersect at these three crossings are joined together there, then you get a form of triangle (topologically equivalent to a simple circle or closed loop, i.e. "unknot"). |
| Data | |
| Orixe |
Self-made graphic, converted from the following vector PostScript source code: %!
300 396 translate 75 dup scale .125 setlinewidth 1
setgray/z{{w lineto}for stroke}def/ecc{1.5}def/w{/th
exch def th 3 mul 5 div/x exch def x sin ecc add th
cos mul x sin ecc add th sin mul}def/y{dup w moveto 1
add 1}def 0 y 1800{w lineto}for closepath gsave 0
setgray .325 setlinewidth stroke grestore stroke 0
setgray .325 setlinewidth 16 y 44 z 188 y 232 z 316 y
344 z 488 y 528 z 616 y 644 z 788 y 832 z 916 y 944 z
1088 y 1128 z 1216 y 1244 z 1388 y 1432 z 1516 y 1544
z 1688 y 1728 z 0.125 setlinewidth 1 setgray 15 y 45
z 187 y 233 z 315 y 345 z 487 y 529 z 615 y 645 z 787
y 833 z 915 y 945 z 1087 y 1129 z 1215 y 1245 z 1387
y 1433 z 1515 y 1545 z 1687 y 1729 z showpage
%EOF |
| Autoría | AnonMoos |
| Outras versións |
For other curves generated from the polar coordinates equation r=b+sin(aθ), see File:Mathematical-polar-equation-flowers.svg , File:Quinquetra-interlaced-alternate.svg , and File:Interlaced-Triangles Brunnian-link alternate.svg . For a different decorative knot, see File:12crossing-decorative-knot-triskele.svg . |
Licenza
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Eu, como posuidor dos dereitos de autor desta obra, libéroa para que pertenza ao dominio público. Isto é válido en todo o mundo. Nalgúns países, isto pode non ser legalmente posible; entón: Concedo a calquera o dereito de empregar esta obra para o propósito que considere oportuno, sen condicións, agás aquelas que sexan requiridas pola lei. |
Historial do ficheiro
Prema nunha data/hora para ver o ficheiro tal e como estaba nese momento.
| Data/Hora | Miniatura | Dimensións | Usuario | Comentario | |
|---|---|---|---|---|---|
| actual | 20 de febreiro de 2010 ás 03:44 | | 620 × 600 (50 kB) | AnonMoos | Decorative knot with twelve crossings, depicted with three-fold visual symmetry. The curves were generated from the polar coordinates equation r=b+sin(aθ), which is a slight generalization of the Limaçon and Rose/rhodonea curves, using parameters a=(3/ |
Uso do ficheiro
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- Uso en ru.wikipedia.org
