TeX - LaTeX Asked by Allan Ray on August 1, 2021
I have the following image based on the code below. Is there a way to remove the front planes so that the 3D surface will really appear to be inside the box? Thank you.
settings.render=0;
import graph3;
import smoothcontour3;
import palette;
import grid3;
size3(10cm, IgnoreAspect);
limits((-3,-3,-3),(3,3,3));
xaxis3(Label("$x$",0.5),Bounds,InTicks);
yaxis3(Label("$y$",0.5),Bounds,InTicks);
zaxis3(Label("$z$",0.5),Bounds,InTicks);
grid3(XYZgrid, above=true);
currentprojection=orthographic(0.75,3,1);
real f(real x, real y, real z) {return ((x^2 -x -2)*(y^2 + 2*y)) -z;}
surface s=implicitsurface(f,(-3,-3,-3),(3,-1,3),overlapedges=true);
s.colors(palette(s.map(zpart),Gradient(rgb(0.24,0.67,0.79)+opacity(0.83), rgb(0.86,0.94,0.96)+opacity(0.83))));
draw(s,render(merge=true),light=nolight);
draw((0.5,-1,-3)--(0.5,-1,2.25),red+dashed+linewidth(2));
surface s=implicitsurface(f,(-3,-1,-3),(3,3,3),overlapedges=true);
s.colors(palette(s.map(zpart),Gradient(rgb(0.24,0.67,0.79)+opacity(0.83), rgb(0.86,0.94,0.96)+opacity(0.83))));
draw(s,render(merge=true),light=nolight);
Here's my workaround but I still wonder if there's a more efficient way to do this.
settings.render=0;
import graph3;
import smoothcontour3;
import palette;
import grid3;
size3(10cm, IgnoreAspect);
limits((-3,-3,-3),(3,3,3));
xaxis3(Label("$x$",0.5),Bounds,InTicks);
yaxis3(Label("$y$",0.5,align=(10,0,0)),Bounds,NoTicks3);
zaxis3(Label("$z$",0.5),Bounds,InTicks(Label(align=(0.71,-0.71,0))));
grid3(XYZgrid, above=true);
currentprojection=orthographic(0.75,3,1);
real f(real x, real y, real z) {return ((x^2 -x -2)*(y^2 + 2*y)) -z;}
surface s=implicitsurface(f,(-3,-3,-3),(3,-1,3),overlapedges=true);
s.colors(palette(s.map(zpart),Gradient(rgb(0.24,0.67,0.79)+opacity(0.83), rgb(0.86,0.94,0.96)+opacity(0.83))));
draw(s,render(merge=true),light=nolight);
draw((0.5,-1,-3)--(0.5,-1,2.2),rgb(0.87,0.44,0.14)+dashed+linewidth(2));
surface s=implicitsurface(f,(-3,-1,-3),(3,3,3),overlapedges=true);
s.colors(palette(s.map(zpart),Gradient(rgb(0.24,0.67,0.79)+opacity(0.83), rgb(0.86,0.94,0.96)+opacity(0.83))));
draw(s,render(merge=true),light=nolight);
draw((3,-3,3)--(3,3,3));
draw((-3,3,3)--(3,3,3));
draw((3,3,-3)--(3,3,3));
for(int i=-2; i<=2; ++i) {
label("$"+string(i)+"$", (3,i,-3), align=(2,0,0));
}
Answered by Allan Ray on August 1, 2021
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