File:Finite regular polyhedra relations vertical.svg
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[edit]DescriptionFinite regular polyhedra relations vertical.svg |
English: Relations between the finite regular polyhedra in 3-space. |
Date | 19:44, 28 January 2024 (UTC) |
Source |
Own work. Based on a figure from McMullen & Schulte. This vector image was created with LaTeX. |
Source code InfoField | LaTeX code\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{cd,fit}
\tikzset{tail reversed/.code={\pgfsetarrowsstart{tikzcd to}}}
\begin{document}
\begin{tikzpicture}
[ commutative diagrams/every diagram
, ampersand replacement=\&
]
\matrix[matrix of math nodes, name=A, commutative diagrams/every cell]{
{\{4,3\}_3} \&\& {\{3,3\}}
\\ \\
{\{4,3\}} \&\& {\{6,3\}_4}
\\ \\
{\{3,4\}} \&\& {\{6,4\}_3}
\\ \\
{\{3,5\}} \&\& {\{10,5\}_3}
\\ \\
{\{6,5\}_{5/2}} \&\& {\{5/2,5\}}
\\ \\
{\{6,5/2\}_5} \&\& {\{5,5/2\}}
\\ \\
{\{3,5/2\}} \&\& {\{10/3,5/2\}_3}
\\ \\
{\{5/2,3\}} \&\& {\{10/3,3\}_{5/2}}
\\ \\
{\{10,3\}_5} \&\& {\{5,3\}}
\\
};
\node[draw, fit=(A-1-1) (A-1-3), rounded corners=10, label=left:$A_3$] {};
\node[draw, fit=(A-3-1) (A-5-3), rounded corners=10, label=left:$B_3$] {};
\node[draw, fit=(A-7-1) (A-17-3), rounded corners=10, label=left:$H_3$] {};
\path
[ commutative diagrams/.cd
, every arrow
, every label
, tail reversed
, color={rgb,255:red,153;green,92;blue,214}
, description
]
(A-1-1) edge node[fill=white] {$\pi$} (A-1-3)
(A-3-1) edge node[fill=white] {$\pi$} (A-3-3)
(A-7-1) edge node[fill=white] {$\pi$} (A-7-3)
(A-9-1) edge node[fill=white] {$\pi$} (A-9-3)
(A-11-1) edge node[fill=white] {$\pi$} (A-11-3)
(A-13-1) edge node[fill=white] {$\pi$} (A-13-3)
(A-15-1) edge node[fill=white] {$\pi$} (A-15-3)
(A-17-1) edge node[fill=white] {$\pi$} (A-17-3)
;
\path
[ commutative diagrams/.cd
, every arrow
, every label
, tail reversed
, color={rgb,255:red,153;green,92;blue,214}
, shift left=2
, description
]
(A-5-1) edge node[fill=white] {$\pi$} (A-5-3)
;
\path
[ commutative diagrams/.cd
, every arrow
, every label
, tail reversed
, color={rgb,255:red,214;green,92;blue,92}
, shift right=2
, description
]
(A-5-1) edge node[fill=white] {$\kappa$} (A-5-3)
;
\path
[ commutative diagrams/.cd
, every arrow
, every label
, tail reversed
, color={rgb,255:red,214;green,92;blue,92}
, description
]
(A-1-1) edge node[fill=white] {$\kappa$} (A-3-1)
(A-1-3) edge node[fill=white] {$\kappa$} (A-3-3)
(A-7-1) edge node[fill=white] {$\kappa$} (A-9-1)
(A-7-3) edge node[fill=white] {$\kappa$} (A-9-3)
(A-11-1) edge node[fill=white] {$\kappa$} (A-13-1)
(A-11-3) edge node[fill=white] {$\kappa$} (A-13-3)
(A-15-1) edge node[fill=white] {$\kappa$} (A-17-1)
(A-15-3) edge node[fill=white] {$\kappa$} (A-17-3)
;
\path
[ commutative diagrams/.cd
, every arrow
, every label
, tail reversed
, color={rgb,255:red,92;green,92;blue,214}
, description
]
(A-3-1) edge node[fill=white] {$\delta$} (A-5-1)
(A-9-3) edge node[fill=white] {$\delta$} (A-11-3)
(A-13-1) edge node[fill=white] {$\delta$} (A-15-1)
(A-7-1) edge node[fill=white] {$\delta$} (A-17-3)
;
\end{tikzpicture}
\end{document}
|
Author | AquitaneHungerForce |
Other versions |
|
Licensing
[edit]I, the copyright holder of this work, hereby publish it under the following license:
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- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 19:44, 28 January 2024 | 224 × 565 (88 KB) | AquitaneHungerForce (talk | contribs) | {{Information |Description= {{en|Relations between the finite regular polyhedra in 3-space.}} |Source = {{own}}. Based on a figure from McMullen & Schulte. {{Igen|LaTeX|v|code=<nowiki>\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{cd,fit} \tikzset{tail reversed/.code={\pgfsetarrowsstart{tikzcd to}}} \begin{document} \begin{tikzpicture} [ commutative diagrams/every diagram , ampersand replacement=\& ] \matrix[matrix of math nodes, name=A, commutative diagrams/every cell]{... |
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Width | 179.302pt |
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Height | 451.759pt |