File:Braid product.svg
Jump to navigation
Jump to search
Size of this PNG preview of this SVG file: 331 × 76 pixels. Other resolutions: 320 × 73 pixels | 640 × 147 pixels | 1,024 × 235 pixels | 1,280 × 294 pixels | 2,560 × 588 pixels.
Original file (SVG file, nominally 331 × 76 pixels, file size: 13 KB)
Captions
Captions
The product of braids is their concatenation
Summary
[edit]
| Description |
English: The product (or multiplication) of two braids with the same number of strands is defined to be the braid obtained by concatenating the right ends of the strands of the first braid with the
left ends of the strands of the second braid. |
| Date | |
| Source | Own work |
| Author | MauveAccueil |
LaTeX source
[edit]
\documentclass[tikz,border=10pt]{standalone}
\usepackage{mathtools}
\usetikzlibrary{braids}
\begin{document}
\begin{tikzpicture}[scale=0.4, every node/.style={scale=0.4}]
\pic[
rotate=90,
line width=1.5pt,
braid/control factor=0,
braid/nudge factor=0,
braid/gap=0.11,
braid/number of strands = 4,
name prefix=braid,
] at (-0.25,0) {braid={
11111
}};
\draw[dashed,draw=black, very thick, fill=white] (1-0.5,0-0.25) rectangle ++(4,3.5);
\node at (2.5,1.5) {\fontsize{40pt}{\baselineskip}\selectfont $\alpha$};
\node at (6,1.5) {\fontsize{40pt}{\baselineskip}\selectfont $\ast$};
\pic[
rotate=90,
line width=1.5pt,
braid/control factor=0,
braid/nudge factor=0,
braid/gap=0.11,
braid/number of strands = 4,
name prefix=braid,
] at (7-0.25,0) {braid={
11111
}};
\draw[dashed,draw=black, very thick, fill=white] (8-0.5,0-0.25) rectangle ++(4,3.5);
\node at (9.5,1.5) {\fontsize{40pt}{\baselineskip}\selectfont $\beta$};
\node at (13.5,1.5) {\fontsize{40pt}{\baselineskip}\selectfont $\vcentcolon=$};
\pic[
rotate=90,
line width=1.5pt,
braid/control factor=0,
braid/nudge factor=0,
braid/gap=0.11,
braid/number of strands = 4,
name prefix=braid,
] at (15-0.25,0) {braid={
111
111
}};
\draw[dashed,draw=black, very thick, fill=white] (16-0.5,0-0.25) rectangle ++(2,3.5);
\node at (16.5,1.5) {\fontsize{40pt}{\baselineskip}\selectfont $\alpha$};
\draw[dashed,draw=black, very thick, fill=white] (19-0.5,0-0.25) rectangle ++(2,3.5);
\node at (19.5,1.5) {\fontsize{40pt}{\baselineskip}\selectfont $\beta$};
\end{tikzpicture}
\end{document}
Licensing
[edit]
I, the copyright holder of this work, hereby publish it under the following license:
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
|
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 12:18, 17 April 2023 | | 331 × 76 (13 KB) | MauveAccueil (talk | contribs) | Uploaded own work with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on ru.wikipedia.org
