File:Dodecahedron S-realization map.svg
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DescriptionDodecahedron S-realization map.svg |
English: Symmetric realizations of the dodecahedron (or its Petrial). Crossed nodes indicate a non-faithful realization. Edges represent blending by a pure realization. Parallel edges, or edges of the same color/style correspond to blends by the same polyhedron. This is the Hasse diagram on the lattice formed with blending as the meet. |
Date | 21:02, 28 December 2023 (UTC) |
Source |
This vector image was created with LaTeX. |
Source code InfoField | LaTeX code\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing,calc}
\newcommand\ax{-8}
\newcommand\bx{-3}
\newcommand\cx{2}
\newcommand\dx{3}
\newcommand\ex{6}
\newcommand\ay{3}
\newcommand\by{3}
\newcommand\cy{4}
\newcommand\dy{4}
\newcommand\ey{5}
\NewDocumentCommand\blend{md()}{
\draw[l#2]($#1$)--($#1+(#2)$)
}
\begin{document}
\begin{tikzpicture}
[ every node/.style={outer sep=0pt,thick,minimum size=.1,circle,draw=black,fill=white,solid}
, cross/.style=
{ draw=none
, fill=none
, path picture={
\draw[black](path picture bounding box.south west)--(path picture bounding box.north east);
\draw[black](path picture bounding box.south east)--(path picture bounding box.north west);
}
}
, lA/.style={thick, blue}
, lB/.style={thick, green, dashed}
, lC/.style={thick, red, double}
, lD/.style={thick, yellow, decorate, decoration=snake}
, lE/.style={thick, magenta, dash dot}
]
\coordinate (Z) at (0,0);
\coordinate (A) at (\ax,\ay);
\coordinate (B) at (\bx,\by);
\coordinate (C) at (\cx,\cy);
\coordinate (D) at (\dx,\dy);
\coordinate (E) at (\ex,\ey);
\foreach \dim in {0,3,4,5,6,7,8,9,10,11,12,13,14,15,16,19}{
\draw[semithick, dashed](\ax+\bx-1,\dim)node[draw=none,fill=none,left]{\dim}--(\cx+\dx+\ex+1,\dim);
}
\node[left,fill=none,draw=none]()at(\ax+\bx-1,20){Dim:};
\foreach \bOn in {Z,B}{
\foreach \cOn in {Z,C}{
\foreach \dOn in {Z,D}{
\foreach \eOn in {Z,E}{
\blend{(\bOn)+(\cOn)+(\dOn)+(\eOn)}(A);
}
}
}
}
\foreach \aOn in {Z,A}{
\foreach \cOn in {Z,C}{
\foreach \dOn in {Z,D}{
\foreach \eOn in {Z,E}{
\blend{(\aOn)+(\cOn)+(\dOn)+(\eOn)}(B);
}
}
}
\foreach \bOn in {Z,B}{
\foreach \dOn in {Z,D}{
\foreach \eOn in {Z,E}{
\blend{(\aOn)+(\bOn)+(\dOn)+(\eOn)}(C);
}
}
\foreach \cOn in {Z,C}{
\foreach \eOn in {Z,E}{
\blend{(\aOn)+(\bOn)+(\cOn)+(\eOn)}(D);
}
\foreach \dOn in {Z,D}{
\blend{(\aOn)+(\bOn)+(\cOn)+(\dOn)}(E)node{};
\draw($(\aOn)+(\bOn)+(\cOn)+(\dOn)$)node{};
}
}
}
}
\foreach \unfaithfulNode in {Z,D,E} {
\draw(\unfaithfulNode)node[cross]{};
}
\draw($(D)+(E)$)node[cross]{};
\end{tikzpicture}
\end{document}
|
Author | AquitaneHungerForce |
Licensing edit
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- 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.
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 21:08, 28 December 2023 | 890 × 739 (144 KB) | AquitaneHungerForce (talk | contribs) | Fixed faithful realizations. | |
21:02, 28 December 2023 | 890 × 739 (144 KB) | AquitaneHungerForce (talk | contribs) | {{Information |Description = {{en|Symmetric realizations of the dodecahedron (or its Petrial). Crossed nodes indicate a non-faithful realization. Edges represent blending by a pure realization. Parallel edges, or edges of the same color/style correspond to blends by the same polyhedron. This is the Hasse diagram on the lattice formed with blending as the meet.}} |Source = {{Igen|LaTeX|v|code=<nowiki>\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathmorphing,calc} \... |
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Width | 711.741pt |
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Height | 591.246pt |