commit 967f4abac97ac120a281e3b530791d7bb310e590
Author: Sebastiano Tronto <sebastiano@tronto.net>
Date: Thu, 19 May 2022 15:47:53 +0200
Initial commit
Diffstat:
27 files changed, 2017 insertions(+), 0 deletions(-)
diff --git a/README.md b/README.md
@@ -0,0 +1,4 @@
+# Platonic solids in tikz
+
+This repository contains the Tikz (Latex) source code for drawing the5
+platonic solids. The coordinates are projected using the script `coord.py`.
diff --git a/coord-cube.tex b/coord-cube.tex
@@ -0,0 +1,8 @@
+\coordinate (P0) at (-0.5696813314905527, 0.5728160673358398);
+\coordinate (P1) at (-0.5696813314905527, -1.3378569109153722);
+\coordinate (P2) at (1.2943968404439, 0.7869841443124108);
+\coordinate (P3) at (1.2943968404439, -1.1236888339388011);
+\coordinate (P4) at (-1.2943968404439, 1.1236888339388011);
+\coordinate (P5) at (-1.2943968404439, -0.7869841443124108);
+\coordinate (P6) at (0.5696813314905527, 1.3378569109153722);
+\coordinate (P7) at (0.5696813314905527, -0.5728160673358398);
diff --git a/coord-dod.tex b/coord-dod.tex
@@ -0,0 +1,20 @@
+\coordinate (P0) at (1.2508566957869456, 0.7603474449732492);
+\coordinate (P1) at (1.2508566957869456, -1.1503255332779627);
+\coordinate (P2) at (0.6598162824642664, 1.3249899183682845);
+\coordinate (P3) at (0.6598162824642664, -0.5856830598829275);
+\coordinate (P4) at (-0.6598162824642664, 0.5856830598829275);
+\coordinate (P5) at (-0.6598162824642664, -1.3249899183682845);
+\coordinate (P6) at (-1.2508566957869456, 1.1503255332779627);
+\coordinate (P7) at (-1.2508566957869456, -0.7603474449732492);
+\coordinate (P8) at (0.18264153207910092, 1.3712827900732547);
+\coordinate (P9) at (0.18264153207910092, -1.7202510301231948);
+\coordinate (P10) at (-0.18264153207910092, 1.7202510301231948);
+\coordinate (P11) at (-0.18264153207910092, -1.3712827900732547);
+\coordinate (P12) at (1.0685921597130592, -0.40283109341752804);
+\coordinate (P13) at (0.11226868223217829, 0.5107796200274473);
+\coordinate (P14) at (-0.11226868223217829, -0.5107796200274473);
+\coordinate (P15) at (-1.0685921597130592, 0.40283109341752804);
+\coordinate (P16) at (1.5457669100982248, 0.7317368768227392);
+\coordinate (P17) at (-1.5457669100982248, 0.44912396512249836);
+\coordinate (P18) at (1.5457669100982248, -0.44912396512249836);
+\coordinate (P19) at (-1.5457669100982248, -0.7317368768227392);
diff --git a/coord-ico.tex b/coord-ico.tex
@@ -0,0 +1,12 @@
+\coordinate (P0) at (0.19866933079506122, 1.3910718630305983);
+\coordinate (P1) at (0.19866933079506122, -1.7804902053392486);
+\coordinate (P2) at (-0.19866933079506122, 1.7804902053392486);
+\coordinate (P3) at (-0.19866933079506122, -1.3910718630305983);
+\coordinate (P4) at (1.301520307589847, -0.27557655385046137);
+\coordinate (P5) at (0.6586128480926363, 0.35451555984757627);
+\coordinate (P6) at (-0.6586128480926363, -0.35451555984757627);
+\coordinate (P7) at (-1.301520307589847, 0.27557655385046137);
+\coordinate (P8) at (1.5857810341849234, 1.0439295752119735);
+\coordinate (P9) at (-1.5857810341849234, 0.9162035804705098);
+\coordinate (P10) at (1.5857810341849234, -0.9162035804705098);
+\coordinate (P11) at (-1.5857810341849234, -1.0439295752119735);
diff --git a/coord-oct.tex b/coord-oct.tex
@@ -0,0 +1,6 @@
+\coordinate (P0) at (-0.27516333805159693, -0.21095489306059886);
+\coordinate (P1) at (0.27516333805159693, 0.21095489306059886);
+\coordinate (P2) at (-0.9613974918795568, 0.06037778654840108);
+\coordinate (P3) at (0.9613974918795568, -0.06037778654840108);
+\coordinate (P4) at (-0.0, -0.9756293127952373);
+\coordinate (P5) at (-0.0, 0.9756293127952373);
diff --git a/coord-tet.tex b/coord-tet.tex
@@ -0,0 +1,4 @@
+\coordinate (P0) at (-1.1042758977624227, 1.3096936302264104);
+\coordinate (P1) at (0.8835014100843277, -0.3031514993551603);
+\coordinate (P2) at (-0.8835014100843277, -1.4214862452202075);
+\coordinate (P3) at (1.1042758977624227, 0.41494411434895745);
diff --git a/coord.py b/coord.py
@@ -0,0 +1,32 @@
+#!/usr/bin/python
+
+from math import sqrt, sin, cos
+
+phi = (1.0+sqrt(5.0))/2.0
+
+def projcoord(P, alpha, beta):
+ x, y, z = P
+ xnew = x*cos(alpha) + y*sin(alpha)
+ ynew = x*sin(alpha)*sin(beta) - y*cos(alpha)*sin(beta) + z*cos(beta)
+ return xnew, ynew
+
+def printtikz(shape, alpha, beta):
+ for i in range(len(shape)):
+ x, y = projcoord(shape[i], alpha, beta)
+ print("\coordinate (P" + str(i) + ") at (" + str(x) + ", " + str(y) + ");")
+
+tetrahedron = [(1,1,1), (1,-1,-1), (-1,1,-1), (-1,-1,1)]
+
+octahedron = [(1,0,0), (-1,0,0), (0,1,0), (0,-1,0), (0,0,1), (0,0,-1)]
+
+cube = [(1,1,1), (1,1,-1), (1,-1,1), (1,-1,-1), (-1,1,1), (-1,1,-1), (-1,-1,1), (-1,-1,-1)]
+
+dodecahedron = cube + [(0,1/phi,phi), (0,1/phi,-phi), (0,-1/phi,phi), (0,-1/phi,-phi),
+ (1/phi,phi,0), (1/phi,-phi,0), (-1/phi,phi,0), (-1/phi,-phi,0),
+ (phi,0,1/phi), (-phi,0,1/phi), (phi,0,-1/phi), (-phi,0,-1/phi)]
+
+icosahedron = [(0,1,phi), (0,1,-phi), (0,-1,phi), (0,-1,-phi),
+ (1,phi,0), (1,-phi,0), (-1,phi,0), (-1,-phi,0),
+ (phi,0,1), (-phi,0,1), (phi,0,-1), (-phi,0,-1)]
+
+printtikz(icosahedron, 0.2, 0.2)
diff --git a/cube.aux b/cube.aux
@@ -0,0 +1,3 @@
+\relax
+\@gobbletwo \sa@multi@setnumpages {1}
+\gdef \@abspage@last{1}
diff --git a/cube.pdf b/cube.pdf
Binary files differ.
diff --git a/cube.tex b/cube.tex
@@ -0,0 +1,31 @@
+\input{settings.ttt}
+
+\begin{document}
+\begin{tikzpicture}[scale=2, line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
+
+\input{coord-cube.tex}
+
+% Background varying in size depending on the main figure
+\fill[color=white] (-2,-2) rectangle (2,2);
+
+\filldraw[very thick, draw=my-color-draw-main,
+ fill=my-color-fill-main, fill opacity = 0.7]
+ (P0) -- (P1) -- (P3) -- (P2) -- cycle;
+
+\filldraw[very thick, draw=my-color-draw-main,
+ fill=my-color-fill-main, fill opacity = 0.3]
+ (P0) -- (P1) -- (P5) -- (P4) -- cycle;
+
+\filldraw[very thick, draw=my-color-draw-main,
+ fill=my-color-fill-main, fill opacity = 0.5]
+ (P0) -- (P2) -- (P6) -- (P4) -- cycle;
+
+
+\draw[very thick, draw=my-color-draw-main, dashed] (P7) -- (P6);
+\draw[very thick, draw=my-color-draw-main, dashed] (P7) -- (P5);
+\draw[very thick, draw=my-color-draw-main, dashed] (P7) -- (P3);
+
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/dodecahedron.aux b/dodecahedron.aux
@@ -0,0 +1,3 @@
+\relax
+\@gobbletwo \sa@multi@setnumpages {1}
+\gdef \@abspage@last{1}
diff --git a/dodecahedron.log b/dodecahedron.log
@@ -0,0 +1,424 @@
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+entering extended mode
+ \write18 enabled.
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diff --git a/tetrahedron.pdf b/tetrahedron.pdf
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diff --git a/tetrahedron.tex b/tetrahedron.tex
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