Quando Pedro me fala sobre Paulo
Sei mais do Pedro do que do Paulo
Sigmund Freud
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Paralelipipid
Python Code:
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Python Listing: ../TikZ_Examples/Parallelepiped.py.
import os,sys
sys.path.append('/usr/local/Python')
from TikZ import *
from Vector import *
from Matrix import *
from Mesh import *
O=Vector([0,0,0])
P1=Vector([1,0,0])
P2=Vector([2,0,0])
P3=Vector([1,2,0])
ts=[-0.5,1.5]
CS=Vector([-0.25,-0.25,0])
P0=Vector([1,1,1])
u=Vector([1,0,0])
v=Vector([0.25,1,0])
w=Vector([0.25,0.25,-1])
ps1=[
P0,
P0+3*u,
P0+3*u+3*v,
P0+3*v,
]
ps2=[]
for p in ps1:
ps2.append(p+w)
ps=ps1+ps2
box=[
[0,1,5,4],
[3,2,6,7],
]
plane1=[1,4,7,2]
plane2=[0,5,6,3]
parallels2=[
[0,3],[5,6],
]
parallels1=[
[1,2],[4,7]
]
M1=Vector([0,0,0])
for i in range( len(box[0]) ):
M1=M1+ps[ box[0][i] ]
M1=0.25*M1
M2=Vector([0,0,0])
for i in range( len(box[1]) ):
M2=M2+ps[ box[1][i] ]
M2=0.25*M2
mytikz=TikZ()
#Styles
ucs_style="gray"
color_1="blue"
color_2="cyan"
color_meridional="orange"
style_connections=""
style_vector="-latex"
style_meridional=color_meridional+","+style_vector
style_diagonals=style_connections+",dashed"
style_1=color_1+",opacity=0.5"
style_2=color_2+",opacity=0.5"
tikz=[]
tikz+=mytikz.TikZ_UCS(
u,v,w,CS,
ucs_style,
titles=["u","v","w"]
)
tikz=tikz+mytikz.TikZ_Points(
ps,
titles=["A","B","C","D","E","F","G","H"],
node_style=["below","below","right","left","left","right","above","above"]
)
tikz+=mytikz.TikZ_Connections_Draw(
ps,box,
style_connections,
comment="Box"
)
tikz+=mytikz.TikZ_Connections_Draw(
ps,
[[0,3],[1,2],[4,7],[5,6]],
style_connections
)
tikz+=mytikz.TikZ_Connections_Draw(
ps,
[[2,7],[3,6]],
style_diagonals
)
tikz+=mytikz.TikZ_Connections_Draw(
ps,
[[0,5],[1,4]],
style_diagonals
)
pdf=mytikz.TikZ_LaTeX_Save_Run(
mytikz.TikZ_LaTeX_Picture(tikz),
"Parallelipiped.pdf"
)
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$\LaTeX$ Generated::
LaTeX Listing: ../TikZ_Examples/Images/Parallelepiped.tex.
PDF
ZIP*
\documentclass{standalone}
%%%%! Preamble from: /root/ufg/PreAmble.tikz.tex
\usepackage{xcolor}
\usepackage{graphicx}
\usepackage{ifthen}
\usepackage{xifthen}
\usepackage{amssymb,amsmath,amsthm}
\usepackage{pgfplots}
\usepackage{pgf,pgffor}
\newcommand{\Vector}[1]{\underline{\mathbf{#1}}}%\Vector{a}
\newcommand{\Matrix}[1]{\underline{\underline{{\mathbf{#1}}}}}
\usepackage{tikz}
\usepackage{tkz-euclide}
%%!
%%! For older versions of package tkz-euclide
%%! you may need uncomment the following line:
% \usetkzobj{all}
%%!
\usetikzlibrary
{
shapes.geometric,
arrows,
calc,
intersections,
arrows.meta,
decorations.markings,
positioning,
math,
angles,
quotes,
patterns,3d,
backgrounds,
fillbetween
}
\makeatletter
\newcommand{\gettikzxy}[3]{%
\tikz@scan@one@point\pgfutil@firstofone#1\relax
\edef#2{\the\pgf@x}%
\edef#3{\the\pgf@y}%
\tikzmath{\#2=#2/28.4527;};
\tikzmath{\#3=#3/28.4527;};
}
\makeatother
\pgfplotsset{compat=1.14}
%%%%! Preamble end: /root/ufg/PreAmble.tikz.tex
\begin{document}
\begin{tikzpicture}[]
%%! UCS
%%! UCS
\filldraw[blue] (-0.500000,-0.500000,0.000000) circle(1pt);
\draw[-latex,very thin,blue] (-0.500000,-0.500000,0.000000) -- (0.500000,-0.500000,0.000000);
\node[] at (0.600000,-0.500000,0.000000) {};
\draw[-latex,very thin,blue] (-0.500000,-0.500000,0.000000) -- (-0.250000,0.500000,0.000000);
\node[] at (-0.225000,0.600000,0.000000) {};
\draw[-latex,very thin,blue] (-0.500000,-0.500000,0.000000) -- (-0.250000,-0.250000,-1.000000);
\node[] at (-0.225000,-0.225000,-1.100000) {};
\node[blue] at (0.600000,-0.500000,0.000000) {\tiny{$u$}};
\node[blue] at (-0.225000,0.600000,0.000000) {\tiny{$v$}};
\node[blue] at (-0.225000,-0.225000,-1.100000) {\tiny{$w$}};
%%! Mesh
\filldraw[] (1.000000,1.000000,1.000000) circle(1pt);
\filldraw[] (1.000000,1.000000,1.000000) circle(1pt);
\node[above,font={\tiny}] at (0.950000,0.950000,1.000000) { $A$ };
\filldraw[] (2.000000,1.000000,1.000000) circle(1pt);
\filldraw[] (2.000000,1.000000,1.000000) circle(1pt);
\node[above,font={\tiny}] at (1.950000,0.950000,1.000000) { $B$ };
\filldraw[] (2.250000,2.000000,1.000000) circle(1pt);
\filldraw[] (2.250000,2.000000,1.000000) circle(1pt);
\node[above,font={\tiny}] at (2.200000,1.950000,1.000000) { $C$ };
\filldraw[] (1.250000,2.000000,1.000000) circle(1pt);
\filldraw[] (1.250000,2.000000,1.000000) circle(1pt);
\node[above,font={\tiny}] at (1.200000,1.950000,1.000000) { $D$ };
\filldraw[] (1.250000,1.250000,0.000000) circle(1pt);
\filldraw[] (1.250000,1.250000,0.000000) circle(1pt);
\node[above,font={\tiny}] at (1.200000,1.200000,0.000000) { $E$ };
\filldraw[] (2.250000,1.250000,0.000000) circle(1pt);
\filldraw[] (2.250000,1.250000,0.000000) circle(1pt);
\node[above,font={\tiny}] at (2.200000,1.200000,0.000000) { $F$ };
\filldraw[] (2.500000,2.250000,0.000000) circle(1pt);
\filldraw[] (2.500000,2.250000,0.000000) circle(1pt);
\node[above,font={\tiny}] at (2.450000,2.200000,0.000000) { $G$ };
\filldraw[] (1.500000,2.250000,0.000000) circle(1pt);
\filldraw[] (1.500000,2.250000,0.000000) circle(1pt);
\node[above,font={\tiny}] at (1.450000,2.200000,0.000000) { $H$ };
%%! Box
\draw[ultra thin](1.000000,1.000000,1.000000) -- (2.000000,1.000000,1.000000) -- (2.250000,1.250000,0.000000) -- (1.250000,1.250000,0.000000) -- cycle;
\draw[ultra thin](1.250000,2.000000,1.000000) -- (2.250000,2.000000,1.000000) -- (2.500000,2.250000,0.000000) -- (1.500000,2.250000,0.000000) -- cycle;
%%! Diagonals 1
\draw[ultra thin,dashed](2.250000,2.000000,1.000000) -- (1.500000,2.250000,0.000000) -- cycle;
\draw[ultra thin,dashed](1.250000,2.000000,1.000000) -- (2.500000,2.250000,0.000000) -- cycle;
%%! Diagonals 2
\draw[ultra thin,dashed](1.000000,1.000000,1.000000) -- (2.250000,1.250000,0.000000) -- cycle;
\draw[ultra thin,dashed](2.000000,1.000000,1.000000) -- (1.250000,1.250000,0.000000) -- cycle;
\draw[orange,-latex] (1.375000,0.125000,0.500000) -- (2.125000,3.125000,0.500000);
\filldraw[orange] (1.625000,1.125000,0.500000) circle(1pt);
\filldraw[orange] (1.875000,2.125000,0.500000) circle(1pt);
\fill[blue,opacity=0.5](2.000000,1.000000,1.000000) -- (1.250000,1.250000,0.000000) -- (1.500000,2.250000,0.000000) -- (2.250000,2.000000,1.000000) -- cycle;
\fill[cyan,opacity=0.5](1.000000,1.000000,1.000000) -- (2.250000,1.250000,0.000000) -- (2.500000,2.250000,0.000000) -- (1.250000,2.000000,1.000000) -- cycle;
\draw[blue,opacity=0.5,-latex] (1.750000,0.000000,1.000000) -- (2.500000,3.000000,1.000000);
\draw[blue,opacity=0.5,-latex] (1.000000,0.250000,0.000000) -- (1.750000,3.250000,0.000000);
\draw[cyan,opacity=0.5,-latex] (0.750000,0.000000,1.000000) -- (1.500000,3.000000,1.000000);
\draw[cyan,opacity=0.5,-latex] (2.000000,0.250000,0.000000) -- (2.750000,3.250000,0.000000);
\end{tikzpicture}
\end{document}
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