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authorSebastiano Tronto <sebastiano@tronto.net>2022-05-19 15:47:53 +0200
committerSebastiano Tronto <sebastiano@tronto.net>2022-05-19 15:47:53 +0200
commit967f4abac97ac120a281e3b530791d7bb310e590 (patch)
tree6e65952faffe6aa530e436a7207f2059f4b9e0e1
downloadplatonicsolids-967f4abac97ac120a281e3b530791d7bb310e590.tar.gz
platonicsolids-967f4abac97ac120a281e3b530791d7bb310e590.zip
Initial commit
Diffstat
-rw-r--r--README.md4
-rw-r--r--coord-cube.tex8
-rw-r--r--coord-dod.tex20
-rw-r--r--coord-ico.tex12
-rw-r--r--coord-oct.tex6
-rw-r--r--coord-tet.tex4
-rwxr-xr-xcoord.py32
-rw-r--r--cube.aux3
-rw-r--r--cube.pdfbin0 -> 1282 bytes
-rw-r--r--cube.tex31
-rw-r--r--dodecahedron.aux3
-rw-r--r--dodecahedron.log424
-rw-r--r--dodecahedron.pdfbin0 -> 1435 bytes
-rw-r--r--dodecahedron.tex44
-rw-r--r--icosahedron.aux3
-rw-r--r--icosahedron.log424
-rw-r--r--icosahedron.pdfbin0 -> 1398 bytes
-rw-r--r--icosahedron.tex55
-rw-r--r--octahedron.aux3
-rw-r--r--octahedron.log424
-rw-r--r--octahedron.pdfbin0 -> 1274 bytes
-rw-r--r--octahedron.tex35
-rw-r--r--settings.ttt32
-rw-r--r--tetrahedron.aux3
-rw-r--r--tetrahedron.log424
-rw-r--r--tetrahedron.pdfbin0 -> 1245 bytes
-rw-r--r--tetrahedron.tex23
27 files changed, 2017 insertions, 0 deletions
diff --git a/README.md b/README.md
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1# Platonic solids in tikz
2
3This repository contains the Tikz (Latex) source code for drawing the5
4platonic solids. The coordinates are projected using the script `coord.py`.
diff --git a/coord-cube.tex b/coord-cube.tex
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1\coordinate (P0) at (-0.5696813314905527, 0.5728160673358398);
2\coordinate (P1) at (-0.5696813314905527, -1.3378569109153722);
3\coordinate (P2) at (1.2943968404439, 0.7869841443124108);
4\coordinate (P3) at (1.2943968404439, -1.1236888339388011);
5\coordinate (P4) at (-1.2943968404439, 1.1236888339388011);
6\coordinate (P5) at (-1.2943968404439, -0.7869841443124108);
7\coordinate (P6) at (0.5696813314905527, 1.3378569109153722);
8\coordinate (P7) at (0.5696813314905527, -0.5728160673358398);
diff --git a/coord-dod.tex b/coord-dod.tex
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--- /dev/null
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1\coordinate (P0) at (1.2508566957869456, 0.7603474449732492);
2\coordinate (P1) at (1.2508566957869456, -1.1503255332779627);
3\coordinate (P2) at (0.6598162824642664, 1.3249899183682845);
4\coordinate (P3) at (0.6598162824642664, -0.5856830598829275);
5\coordinate (P4) at (-0.6598162824642664, 0.5856830598829275);
6\coordinate (P5) at (-0.6598162824642664, -1.3249899183682845);
7\coordinate (P6) at (-1.2508566957869456, 1.1503255332779627);
8\coordinate (P7) at (-1.2508566957869456, -0.7603474449732492);
9\coordinate (P8) at (0.18264153207910092, 1.3712827900732547);
10\coordinate (P9) at (0.18264153207910092, -1.7202510301231948);
11\coordinate (P10) at (-0.18264153207910092, 1.7202510301231948);
12\coordinate (P11) at (-0.18264153207910092, -1.3712827900732547);
13\coordinate (P12) at (1.0685921597130592, -0.40283109341752804);
14\coordinate (P13) at (0.11226868223217829, 0.5107796200274473);
15\coordinate (P14) at (-0.11226868223217829, -0.5107796200274473);
16\coordinate (P15) at (-1.0685921597130592, 0.40283109341752804);
17\coordinate (P16) at (1.5457669100982248, 0.7317368768227392);
18\coordinate (P17) at (-1.5457669100982248, 0.44912396512249836);
19\coordinate (P18) at (1.5457669100982248, -0.44912396512249836);
20\coordinate (P19) at (-1.5457669100982248, -0.7317368768227392);
diff --git a/coord-ico.tex b/coord-ico.tex
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--- /dev/null
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1\coordinate (P0) at (0.19866933079506122, 1.3910718630305983);
2\coordinate (P1) at (0.19866933079506122, -1.7804902053392486);
3\coordinate (P2) at (-0.19866933079506122, 1.7804902053392486);
4\coordinate (P3) at (-0.19866933079506122, -1.3910718630305983);
5\coordinate (P4) at (1.301520307589847, -0.27557655385046137);
6\coordinate (P5) at (0.6586128480926363, 0.35451555984757627);
7\coordinate (P6) at (-0.6586128480926363, -0.35451555984757627);
8\coordinate (P7) at (-1.301520307589847, 0.27557655385046137);
9\coordinate (P8) at (1.5857810341849234, 1.0439295752119735);
10\coordinate (P9) at (-1.5857810341849234, 0.9162035804705098);
11\coordinate (P10) at (1.5857810341849234, -0.9162035804705098);
12\coordinate (P11) at (-1.5857810341849234, -1.0439295752119735);
diff --git a/coord-oct.tex b/coord-oct.tex
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--- /dev/null
+++ b/coord-oct.tex
@@ -0,0 +1,6 @@
1\coordinate (P0) at (-0.27516333805159693, -0.21095489306059886);
2\coordinate (P1) at (0.27516333805159693, 0.21095489306059886);
3\coordinate (P2) at (-0.9613974918795568, 0.06037778654840108);
4\coordinate (P3) at (0.9613974918795568, -0.06037778654840108);
5\coordinate (P4) at (-0.0, -0.9756293127952373);
6\coordinate (P5) at (-0.0, 0.9756293127952373);
diff --git a/coord-tet.tex b/coord-tet.tex
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--- /dev/null
+++ b/coord-tet.tex
@@ -0,0 +1,4 @@
1\coordinate (P0) at (-1.1042758977624227, 1.3096936302264104);
2\coordinate (P1) at (0.8835014100843277, -0.3031514993551603);
3\coordinate (P2) at (-0.8835014100843277, -1.4214862452202075);
4\coordinate (P3) at (1.1042758977624227, 0.41494411434895745);
diff --git a/coord.py b/coord.py
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index 0000000..6fe33f9
--- /dev/null
+++ b/coord.py
@@ -0,0 +1,32 @@
1#!/usr/bin/python
2
3from math import sqrt, sin, cos
4
5phi = (1.0+sqrt(5.0))/2.0
6
7def projcoord(P, alpha, beta):
8 x, y, z = P
9 xnew = x*cos(alpha) + y*sin(alpha)
10 ynew = x*sin(alpha)*sin(beta) - y*cos(alpha)*sin(beta) + z*cos(beta)
11 return xnew, ynew
12
13def printtikz(shape, alpha, beta):
14 for i in range(len(shape)):
15 x, y = projcoord(shape[i], alpha, beta)
16 print("\coordinate (P" + str(i) + ") at (" + str(x) + ", " + str(y) + ");")
17
18tetrahedron = [(1,1,1), (1,-1,-1), (-1,1,-1), (-1,-1,1)]
19
20octahedron = [(1,0,0), (-1,0,0), (0,1,0), (0,-1,0), (0,0,1), (0,0,-1)]
21
22cube = [(1,1,1), (1,1,-1), (1,-1,1), (1,-1,-1), (-1,1,1), (-1,1,-1), (-1,-1,1), (-1,-1,-1)]
23
24dodecahedron = cube + [(0,1/phi,phi), (0,1/phi,-phi), (0,-1/phi,phi), (0,-1/phi,-phi),
25 (1/phi,phi,0), (1/phi,-phi,0), (-1/phi,phi,0), (-1/phi,-phi,0),
26 (phi,0,1/phi), (-phi,0,1/phi), (phi,0,-1/phi), (-phi,0,-1/phi)]
27
28icosahedron = [(0,1,phi), (0,1,-phi), (0,-1,phi), (0,-1,-phi),
29 (1,phi,0), (1,-phi,0), (-1,phi,0), (-1,-phi,0),
30 (phi,0,1), (-phi,0,1), (phi,0,-1), (-phi,0,-1)]
31
32printtikz(icosahedron, 0.2, 0.2)
diff --git a/cube.aux b/cube.aux
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1\relax
2\@gobbletwo \sa@multi@setnumpages {1}
3\gdef \@abspage@last{1}
diff --git a/cube.pdf b/cube.pdf
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diff --git a/cube.tex b/cube.tex
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1\input{settings.ttt}
2
3\begin{document}
4\begin{tikzpicture}[scale=2, line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
5
6\input{coord-cube.tex}
7
8% Background varying in size depending on the main figure
9\fill[color=white] (-2,-2) rectangle (2,2);
10
11\filldraw[very thick, draw=my-color-draw-main,
12 fill=my-color-fill-main, fill opacity = 0.7]
13 (P0) -- (P1) -- (P3) -- (P2) -- cycle;
14
15\filldraw[very thick, draw=my-color-draw-main,
16 fill=my-color-fill-main, fill opacity = 0.3]
17 (P0) -- (P1) -- (P5) -- (P4) -- cycle;
18
19\filldraw[very thick, draw=my-color-draw-main,
20 fill=my-color-fill-main, fill opacity = 0.5]
21 (P0) -- (P2) -- (P6) -- (P4) -- cycle;
22
23
24\draw[very thick, draw=my-color-draw-main, dashed] (P7) -- (P6);
25\draw[very thick, draw=my-color-draw-main, dashed] (P7) -- (P5);
26\draw[very thick, draw=my-color-draw-main, dashed] (P7) -- (P3);
27
28
29\end{tikzpicture}
30\end{document}
31
diff --git a/dodecahedron.aux b/dodecahedron.aux
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@@ -0,0 +1,3 @@
1\relax
2\@gobbletwo \sa@multi@setnumpages {1}
3\gdef \@abspage@last{1}
diff --git a/dodecahedron.log b/dodecahedron.log
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1This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/VoidLinux) (preloaded format=pdflatex 2022.4.21) 19 MAY 2022 15:43
2entering extended mode
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diff --git a/icosahedron.pdf b/icosahedron.pdf
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diff --git a/icosahedron.tex b/icosahedron.tex
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diff --git a/octahedron.pdf b/octahedron.pdf
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diff --git a/octahedron.tex b/octahedron.tex
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diff --git a/settings.ttt b/settings.ttt
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diff --git a/tetrahedron.pdf b/tetrahedron.pdf
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23

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