pgfplots: 3D-Parameterfunktion mit zwei Veränderlichen zeichnen

Kann man die Funktion

M={(cosh(u)cos(v);cosh(u)sin(v);u)}: (u,-R,R), R>0, (v,-pi,pi)}

mit pgfplots schön darstellen?

Laut Sage

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u, v = var('u,v')
parametric_plot3d((cosh(u)*sin(v), cosh(u)*cos(v), u), (u,-1,1), (v,-pi,pi),  mesh=True, opacity=0.5, plot_points=[20,20])
 
 
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sieht die Funktion so aus:

Mit dem MWE bekomme ich nichts Gescheites hin:

Öffne in Overleaf

Code, hier editierbar zum Übersetzen:

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\documentclass[margin=2mm, tikz]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=newest}
\begin{document}
\begin{tikzpicture}
   \begin{axis}[view={60}{30},
                axis lines=center,axis on top,
                xlabel=$x$,ylabel=$y$,zlabel=$z$,
                xtick={2},ytick={2},ztick={2},
                no marks,axis equal,
                xmin=-4,xmax=4,ymin=-4,ymax=4,zmin=-1,zmax=4,
                enlargelimits={upper=0.1}]
\addplot3+[
no markers,
samples=51, 
samples y=0,
domain=-pi:pi,
variable=\v]
(
 {cosh(1)*cos(\v r)},
 {cosh(1)*sin(\v r)},
 {\v}
);
\end{axis}
\end{tikzpicture}
\end{document}
 
 
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pgfplots

gefragt 02 Jul '18, 16:15

cis
9.6k●103●460●491
Akzeptiert-Rate: 29%

bearbeitet 02 Jul '18, 16:16

Eine Antwort:

active answers älteste Antworten neueste Antworten Beliebteste Antworten

Das liegt daran, dass Du nur eine Funktion von einer Variablen plottest.

Öffne in Overleaf

Code, hier editierbar zum Übersetzen:

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\documentclass[margin=2mm, tikz]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=newest}
\begin{document}
\begin{tikzpicture}
   \begin{axis}[view={60}{30},
                axis lines=center,axis on top,
                xlabel=$x$,ylabel=$y$,zlabel=$z$,
                xtick={2},ytick={2},ztick={2},
                no marks,axis equal,
                xmin=-4,xmax=4,ymin=-4,ymax=4,zmin=-1,zmax=4,
                enlargelimits={upper=0.1}]
\addplot3+[
no markers,
samples=51, 
samples y=50,
domain=-180:180,domain y=-2:2]
(
 {cosh(y)*cos(x)},
 {cosh(y)*sin(x)},
 {y}
);
\end{axis}
\end{tikzpicture}
\end{document}
 
 
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
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Permanenter link

beantwortet 02 Jul '18, 17:13

Community
21
Akzeptiert-Rate: 56%

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gestellte Frage: 02 Jul '18, 16:15

Frage wurde gesehen: 4,658 Mal

zuletzt geändert: 02 Jul '18, 17:13

pgfplots: 3D-Parameterfunktion mit zwei Veränderlichen zeichnen

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