diff options
Diffstat (limited to 'Build/source/utils/asymptote/examples/Klein.asy')
-rw-r--r-- | Build/source/utils/asymptote/examples/Klein.asy | 41 |
1 files changed, 34 insertions, 7 deletions
diff --git a/Build/source/utils/asymptote/examples/Klein.asy b/Build/source/utils/asymptote/examples/Klein.asy index 43199200276..bba99023f7d 100644 --- a/Build/source/utils/asymptote/examples/Klein.asy +++ b/Build/source/utils/asymptote/examples/Klein.asy @@ -1,17 +1,44 @@ import graph3; -size(200,0); -currentprojection=perspective(40,-100,40); +size(469pt); + +viewportmargin=0; + +currentprojection=perspective( +camera=(25.0851928432063,-30.3337528952473,19.3728775115443), +up=Z, +target=(-0.590622314050054,0.692357205025578,-0.627122488455679), +zoom=1, +autoadjust=false); -// From http://local.wasp.uwa.edu.au/~pbourke/surfaces_curves/klein/ triple f(pair t) { real u=t.x; real v=t.y; - real r=4*(1-cos(u)/2); - real x=6*cos(u)*(1+sin(u))+(u < pi ? r*cos(u)*cos(v) : r*cos(v+pi)); - real y=16*sin(u)+(u < pi ? r*sin(u)*cos(v) : 0); + real r=2-cos(u); + real x=3*cos(u)*(1+sin(u))+r*cos(v)*(u < pi ? cos(u) : -1); + real y=8*sin(u)+(u < pi ? r*sin(u)*cos(v) : 0); real z=r*sin(v); return (x,y,z); } -draw(surface(f,(0,0),(2pi,2pi),8,8,Spline),lightgray); +surface s=surface(f,(0,0),(2pi,2pi),8,8,Spline); +draw(s,lightolive+white); + +string lo="$\displaystyle u\in[0,\pi]: \cases{x=3\cos u(1+\sin u)+(2-\cos u)\cos u\cos v,\cr +y=8\sin u+(2-\cos u)\sin u\cos v,\cr +z=(2-\cos u)\sin v.\cr}$"; + +string hi="$\displaystyle u\in[\pi,2\pi]:\\\cases{x=3\cos u(1+\sin u)-(2-\cos u)\cos v,\cr +y=8\sin u,\cr +z=(2-\cos u)\sin v.\cr}$"; + +real h=0.0125; + +draw(labelsurface(xscale(-0.38)*yscale(-0.18)*lo,s,0,1.7,h)); +draw(labelsurface(xscale(0.26)*yscale(0.1)*rotate(90)*hi,s,4.9,1.4,h)); +draw(s.uequals(0),blue+dashed); +draw(s.uequals(pi),blue+dashed); + +currentpicture.add(new void(frame f, transform3 t, picture pic, projection P) { + draw(f,invert(box(min(f,P),max(f,P)),P)); + }); |