Asymptote 3D graphics

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Last Updated

a year ago

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Creative Commons CC BY 4.0

Sammanfattning

This example shows how to get asymptote 3D drawings working on Overleaf. All the drawings in this example were taken from the Asymptote documentation.

If you download the PDF and open it in Adobe Reader, you'll get interactive views of the 3D objects!

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Dynamic Figures

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\documentclass[12pt,twocolumn]{article}
\usepackage[inline]{asymptote}
\usepackage[paper=a4paper,hmargin=2cm,vmargin=2.5cm]{geometry}
\usepackage{parskip}
\setlength{\columnsep}{3em}

\title{Asymptote 3D graphics}
\begin{document}

Purely 2D asymptote drawings:

\begin{asy}
  size(5cm);
  draw(circle((1,0), 1.5), blue);
  draw(ellipse((1,0), 1.5, 0.5));
\end{asy}

3D asymptote drawings with \verb|import three;|

\begin{asy}
  size(5cm,0);
  import three;
  currentprojection=orthographic(5,4,2);
  draw(unitcube,magenta);
\end{asy}

\begin{asy}
size(6cm,0);
import bsp;
real u=2.5;
real v=1;
currentprojection=oblique;
path3 y=plane((2u,0,0),(0,2v,0),(-u,-v,0));
path3 l=rotate(90,Z)*rotate(90,Y)*y;
path3 g=rotate(90,X)*rotate(90,Y)*y;
face[] faces;
filldraw(faces.push(y),project(y),yellow);
filldraw(faces.push(l),project(l),lightgrey);
filldraw(faces.push(g),project(g),green);
add(faces);
\end{asy}

\begin{asy}
size(5cm,0);
import three;
draw(unitsphere,lightcyan);
\end{asy}

3D plots work too!

\begin{asy}
import graph3;
size(0,200);
size3(200,IgnoreAspect);
currentprojection=orthographic(4,6,3);
real x(real t) {return cos(2pi*t);}
real y(real t) {return sin(2pi*t);}
real z(real t) {return t;}
path3 p=graph(x,y,z,0,2.7,operator ..);
draw(p,Arrow3);
scale(true);
xaxis3(XZ()*"$x$",Bounds,red,InTicks(Label,2,2));
yaxis3(YZ()*"$y$",Bounds,red,InTicks(beginlabel=false,Label,2,2));
zaxis3(XZ()*"$z$",Bounds,red,InTicks);
\end{asy}

Awwww beautiful!

\begin{asy}
import graph3;
size(200,0);
currentprojection=perspective(10,8,4);
real f(pair z) {return 0.5+exp(-abs(z)^2);}
draw((-1,-1,0)--(1,-1,0)--(1,1,0)--(-1,1,0)--cycle);
draw(arc(0.12Z,0.2,90,60,90,25),ArcArrow3);
surface s=surface(f,(-1,-1),(1,1),nx=5,Spline);
xaxis3(Label("$x$"),red,Arrow3);
yaxis3(Label("$y$"),red,Arrow3);
zaxis3(XYZero(extend=true),red,Arrow3);
draw(s,lightgray,meshpen=black+thick(),nolight,render(merge=true));
label("$O$",O,-Z+Y,red);
\end{asy}

\textbf{Download the PDF and open it in a suitable viewer like Adobe Reader. You'll get interactive views of the 3D objects!}

\end{document}