1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
|
% Copyright 2006 by Till Tantau
%
% This file may be distributed and/or modified
%
% 1. under the LaTeX Project Public License and/or
% 2. under the GNU Free Documentation License.
%
% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Paper Folding Diagrams Library}
\label{section-calender-folding}
\begin{tikzlibrary}{folding}
This library defines pic types for creating paper folding
diagrams. Many thanks to Nico van Cleemput for providing most of the
code.
\end{tikzlibrary}
Here is a big example that produces a diagram for a calendar:
\begin{codeexample}[leave comments]
\sffamily\scriptsize
\tikz \pic [
transform shape,
every calendar/.style={
at={(-8ex,4ex)},
week list,
month label above centered,
month text=\bfseries\textcolor{red}{\%mt} \%y0,
if={(Sunday) [black!50]}
},
folding line length=2.5cm,
face 1={ \calendar [dates=\the\year-01-01 to \the\year-01-last];},
face 2={ \calendar [dates=\the\year-02-01 to \the\year-02-last];},
face 3={ \calendar [dates=\the\year-03-01 to \the\year-03-last];},
face 4={ \calendar [dates=\the\year-04-01 to \the\year-04-last];},
face 5={ \calendar [dates=\the\year-05-01 to \the\year-05-last];},
face 6={ \calendar [dates=\the\year-06-01 to \the\year-06-last];},
face 7={ \calendar [dates=\the\year-07-01 to \the\year-07-last];},
face 8={ \calendar [dates=\the\year-08-01 to \the\year-08-last];},
face 9={ \calendar [dates=\the\year-09-01 to \the\year-09-last];},
face 10={\calendar [dates=\the\year-10-01 to \the\year-10-last];},
face 11={\calendar [dates=\the\year-11-01 to \the\year-11-last];},
face 12={\calendar [dates=\the\year-12-01 to \the\year-12-last];}
] {dodecahedron folding};
\end{codeexample}
The foldings are sorted by number of faces.
\begin{pictype}{tetrahedron folding}{}
This pic type draws a folding diagram for a tetrahedron.
The following keys influence the pic:
\begin{key}{/tikz/folding line length=\meta{dimension}}
Sets the length of the base line for folding. For the dodecahedron
this is the length of all the sides of the pentagons.
\end{key}
\begin{key}{/tikz/face 1=\meta{code}}
The \meta{code} is executed for the first face of the
dodecahedron. When it is executed, the coordinate system will have
been shifted and rotated such that it lies at the middle of the
first face of the dodecahedron.
\end{key}
\begin{key}{/tikz/face 2=\meta{code}}
Same as |face 1|, but for the second face.
\end{key}
\begin{key}{/tikz/face 3=\meta{code}}
\end{key}
\begin{key}{/tikz/face 4=\meta{code}}
\end{key}
There are further similar options for more faces (for commands
shown later).
Here is a simple example:
\begin{codeexample}[]
\tikz \pic [
transform shape,
folding line length=6mm,
face 1={ \node[red] {1};},
face 2={ \node {2};},
face 3={ \node {3};},
face 4={ \node {4};}
] {tetrahedron folding};
\end{codeexample}
The appearance of the cut and folding lines can be influenced using
the following styles:
\begin{stylekey}{/tikz/every cut (initially \normalfont empty)}
Executed for every line that should be cut using scissors.
\end{stylekey}
\begin{stylekey}{/tikz/every fold (initially help lines)}
Executed for every line that should be
folded.
\begin{codeexample}[]
\tikz \pic[
every cut/.style=red,
every fold/.style=dotted,
folding line length=6mm
] { tetrahedron folding };
\end{codeexample}
\end{stylekey}
There is one style that is mainly useful for the present
documentation:
\begin{stylekey}{/tikz/numbered faces}
Sets |face |\meta{i} to |\node {|\meta{i}|};| for all~$i$.
\end{stylekey}
\end{pictype}
\begin{pictype}{tetrahedron truncated folding}{}
A folding of a truncated tetrahedron.
\begin{codeexample}[width=5cm]
\tikz \pic [folding line length=6mm, numbered faces, transform shape]
{ tetrahedron truncated folding };
\end{codeexample}
\end{pictype}
\begin{pictype}{cube folding}{}
A folding of a cube.
\begin{codeexample}[]
\tikz \pic [folding line length=6mm, numbered faces, transform shape]
{ cube folding };
\end{codeexample}
\end{pictype}
\begin{pictype}{cube truncated folding}{}
A folding of a truncated cube.
\begin{codeexample}[width=5cm]
\tikz \pic [folding line length=6mm, numbered faces, transform shape]
{ cube truncated folding };
\end{codeexample}
\end{pictype}
\begin{pictype}{octahedron folding}{}
A folding of an octahedron.
\begin{codeexample}[]
\tikz \pic [folding line length=6mm, numbered faces, transform shape]
{ octahedron folding };
\end{codeexample}
\end{pictype}
\begin{pictype}{octahedron folding}{}
A folding of a truncated octahedron.
\begin{codeexample}[]
\tikz \pic [folding line length=6mm, numbered faces, transform shape]
{ octahedron truncated folding };
\end{codeexample}
\end{pictype}
\begin{pictype}{dodecahedron folding}{}
A folding of a dodecahedron.
\begin{codeexample}[]
\tikz \pic [folding line length=6mm, numbered faces, transform shape]
{ dodecahedron folding };
\end{codeexample}
\end{pictype}
\begin{pictype}{dodecahedron' folding}{}
This is an alternative folding of a dodecahedron.
\begin{codeexample}[]
\tikz \pic [folding line length=6mm, numbered faces, transform shape]
{ dodecahedron' folding };
\end{codeexample}
\end{pictype}
\begin{pictype}{cuboctahedron folding}{}
A folding of a cuboctahedron.
\begin{codeexample}[]
\tikz \pic [folding line length=6mm, numbered faces, transform shape]
{ cuboctahedron folding };
\end{codeexample}
\end{pictype}
\begin{pictype}{cuboctahedron truncated folding}{}
A folding of a truncated cuboctahedron.
\begin{codeexample}[]
\tikz \pic [folding line length=6mm, numbered faces, transform shape]
{ cuboctahedron truncated folding };
\end{codeexample}
\end{pictype}
\begin{pictype}{icosahedron folding}{}
A folding of an icosahedron.
\begin{codeexample}[]
\tikz \pic [folding line length=6mm, numbered faces, transform shape]
{ icosahedron folding };
\end{codeexample}
\end{pictype}
\begin{pictype}{rhombicuboctahedron folding}{}
A folding of an rhombicuboctahedron.
\begin{codeexample}[]
\tikz \pic [folding line length=6mm, numbered faces, transform shape]
{ rhombicuboctahedron folding };
\end{codeexample}
\end{pictype}
\begin{pictype}{snub cube folding}{}
A folding of a snub cube.
\begin{codeexample}[width=5cm]
\tikz \pic [folding line length=6mm, numbered faces, transform shape]
{ snub cube folding };
\end{codeexample}
\end{pictype}
\begin{pictype}{icosidodecahedron folding}{}
A folding of an icosidodecahedron.
\begin{codeexample}[]
\tikz \pic [folding line length=6mm, numbered faces, transform shape]
{ icosidodecahedron folding };
\end{codeexample}
\end{pictype}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "pgfmanual-pdftex-version"
%%% End:
|
