File:"Knot with 48 crossings" on a clock face.svg
Size of the above preview of this SVG file: 960 × 960 pixels. Other resolutions: 250 × 250 pixels | 500 × 500 pixels | 1,280 × 1,280 pixels | 3,840 × 3,840 pixels.
Original file (SVG file, nominally 750 × 750 pixels, file size: 3 KB)
Summary
| Description |
English: The integers from 1 to 12 written on the image number either the twelve hours of half a day on a clock face or the twelve bends along a race track. Along the loop there are forty‑eight bridges. Every straight line crosses eight other parts of the track, passing alternatively under and above. The twelve bends are parts of parabolas produced by 'q' commands in SVG language. Through this drawing of knot, it is easy to explain arithmetic modulo 12. For example, if it is eleven o'clock now, five hours later the clock hand will indicate four o'clock, because 11 + 5 = 4 modulo 12. By turning clockwise, we pass through the terms of an arithmetic progression with common difference +5 or –7. This also explains "{12,5}": a Schläfli notation that denotes nonconvex regular dodecagons, all similar. For more informations see another version.
Français : Les nombres entiers de 1 à 12 inscrits dans l’image numérotent soit les douze heures d’une demi‑journée sur un cadran d’horloge, soit les douze virages d’une piste de course. Le long du circuit il y a quarante‑huit ponts. Chaque ligne droite croise huit autres parties de la piste, en passant alternativement en dessous et au‑dessus. Les douze virages sont des portions de paraboles produites par des commandes 'q' en langage SVG. Avec ce dessin de nœud, il est facile d’expliquer l’arithmétique modulo 12. Par exemple, si maintenant il est onze heures, dans cinq heures l’aiguille de l’horloge indiquera quatre heures, parce que 11 + 5 = 4 modulo 12. En tournant dans le sens des aiguilles d’une montre, on passe par les termes d’une progression arithmétique de raison +5 ou –7. Cela explique aussi "{12,5}" : une notation de Schläfli qui désigne des dodécagones réguliers étoilés, tous semblables. Pour plus d’informations voir une autre version. |
| Date | |
| Source | Own work |
| Author | Baelde |
| Other versions |
|
| SVG development |  This /Baelde was created with a text editor. |
Licensing
Baelde, the copyright holder of this work, hereby publishes it under the following licenses:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
Attribution:
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
|
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
You may select the license of your choice.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 06:48, 7 August 2012 | | 750 × 750 (3 KB) | Baelde | central ornament more interesting |
| 19:35, 2 August 2012 |  | 750 × 750 (3 KB) | Baelde | knot with lines more thick | |
| 04:51, 15 July 2012 |  | 750 × 750 (3 KB) | Baelde | the PNG conversion was bad | |
| 04:26, 15 July 2012 |  | 750 × 750 (2 KB) | Baelde | SVG code improved by using transform ="rotate (…)" | |
| 09:23, 13 July 2012 |  | 750 × 750 (3 KB) | Baelde | {{Information |Description ={{en|1=We can consider that the integers from 1 to 12, written on the clock face, are the twelve hour numbers, or the numbers of twelve bends along a race track. Along the loop, there are forty-eight brid... |
File usage
The following page uses this file:
