Tag Sphere -- Asymptote Gallery

🔗Asymptote Gallery Tagged by “Sphere” #165

🔗animations-fig007

size(16cm);
import graph3;
import animation;
import solids;

settings.render=0;
animation A;

int nbpts=500;
real q=2/5;
real pas=5*2*pi/nbpts;
int angle=3;
real R=3;

real x(real t){return R*cos(q*t)*cos(t);}
real y(real t){return R*cos(q*t)*sin(t);}
real z(real t){return R*sin(q*t);}

triple[] P;
real t=-pi;
for (int i=0; i<nbpts; ++i) {
  t+=pas;
  P.push((x(t),y(t),z(t)));
}

currentprojection=orthographic((0,5,2));
currentlight=(3,3,5);

pen p=rgb(0.1,0.1,0.58);
transform3 t=rotate(angle,(0,0,0),(1,0.25,0.25));

filldraw(box((-R-0.5,-R-0.5),(R+0.5,R+0.5)), p, 3mm+black+miterjoin);

revolution r=sphere(O,R);
draw(surface(r),p);

for (int phi=0; phi<360; phi+=angle) {
  bool[] back,front;
  save();

  for (int i=0; i<nbpts; ++i) {
    P[i]=t*P[i];
    bool test=dot(P[i],currentprojection.camera) > 0;
    front.push(test);
  }

  draw(segment(P,front,operator ..),linewidth(1mm));
  draw(segment(P,!front,operator ..),grey);
  A.add();
  restore();
}

A.movie();

🔗animations-fig008

size(16cm);
import graph3;
import animation;
import solids;

currentlight.background=black;
settings.render=0;
animation A;
A.global=false;

int nbpts=500;
real q=2/5;
real pas=5*2*pi/nbpts;
int angle=4;
real R=0.5;
pen p=rgb(0.1,0.1,0.58);
triple center=(1,1,1);
transform3 T=rotate(angle,center,center+X+0.25*Y+0.3*Z);

real x(real t){return center.x+R*cos(q*t)*cos(t);}
real y(real t){return center.y+R*cos(q*t)*sin(t);}
real z(real t){return center.z+R*sin(q*t);}

currentprojection=orthographic(1,1,1);
currentlight=(0,center.y-0.5,2*(center.z+R));

triple U=(center.x+1.1*R,0,0), V=(0,center.y+1.1*R,0);
path3 xy=plane(U,V,(0,0,0));
path3 xz=rotate(90,X)*xy;
path3 yz=rotate(-90,Y)*xy;

triple[] P;
path3 curve;
real t=-pi;
for (int i=0; i < nbpts; ++i) {
  t+=pas;
  triple M=(x(t),y(t),z(t));
  P.push(M);
  curve = curve..M;
}

curve=curve..cycle;

draw(surface(xy), grey);
draw(surface(xz), grey);
draw(surface(yz), grey);

triple xyc=(center.x,center.y,0);
path3 cle=shift(xyc)*scale3(R)*unitcircle3;
surface scle=surface(cle);
draw(scle, black);
draw(rotate(90,X)*scle, black);
draw(rotate(-90,Y)*scle, black);

draw(surface(sphere(center,R)), p);

triple vcam=1e5*currentprojection.camera-center;
for (int phi=0; phi<360; phi+=angle) {
  bool[] back,front;
  save();

  for (int i=0; i<nbpts; ++i) {
    P[i]=T*P[i];
    bool test=dot(P[i]-center,vcam) > 0;
    front.push(test);
  }

  curve=T*curve;
  draw(segment(P,front,operator ..), paleyellow);
  draw(segment(P,!front,operator ..),0.5*(paleyellow+p));
  draw((planeproject(xy)*curve)^^
       (planeproject(xz)*curve)^^
       (planeproject(yz)*curve), paleyellow);

  A.add();
  restore();
}

A.movie();

🔗solids-fig001

Figure solids 001 Generated with Asymptote

import solids;
import three;
currentprojection=orthographic(1,2,2);

size(6cm,0);

material m = material(
  diffusepen=yellow,
  emissivepen=black,
  specularpen=orange,
  shininess=0.25,
  metallic=0.5,
  fresnel0=0.07
);

draw(surface(sphere(1)), m);

🔗solids-fig002

Figure solids 002 Generated with Asymptote

import solids;
currentlight=light(paleyellow, specularfactor=3, (2,4,6));

size(6cm,0);
draw(sphere(1,n=4*nslice), linewidth(bp), m=10);
draw(surface(sphere(1,n=4*nslice)), orange);

🔗solids-fig003

Figure solids 003 Generated with Asymptote

// Author: John Bowman.
size(6cm, 0);
import solids;
currentprojection=orthographic(0, 10, 5);

nslice=4*nslice;

revolution r=sphere(O, 1);
draw(surface(r), lightgrey+opacity(0.75));

skeleton s;
r.transverse(s, reltime(r.g, 0.6), currentprojection);
r.transverse(s, reltime(r.g, 0.5), currentprojection);
draw(s.transverse.back, linetype("8 8", 8));
draw(s.transverse.front);

r.longitudinal(s, currentprojection);
draw(s.longitudinal.front);
draw(s.longitudinal.back, linetype("8 8", 8));

🔗solids-fig004

Figure solids 004 Generated with Asymptote

import solids;
size(6cm,0);

currentprojection=orthographic(100,150,30);

real r=1;

skeleton s;
revolution sph=sphere(O,r);
draw(surface(sph), palegray);

path3 cle=rotate(90,X)*scale3(r)*unitcircle3;

triple cam=unit(currentprojection.camera);
real a=degrees(xypart(cam),false)-90;
real b=-sgn(cam.z)*aCos(sqrt(cam.x^2+cam.y^2)/abs(cam));
cle=rotate(b,cross(Z,cam))*rotate(a,Z)*cle;
draw(cle,4pt+red);

🔗solids-fig005

Figure solids 005 Generated with Asymptote

import solids;
size(6cm,0);
currentlight=light(diffuse=yellow, specular=blue, specularfactor=5, (5,-5,10));
// currentprojection=orthographic(100,100,30);
real r=2;

skeleton s;
revolution sph=sphere(O,r);
draw(surface(sph),red);

triple cam=unit(currentprojection.camera);
revolution cle=revolution(O,r*(rotate(90,Z)*cam),cam);
draw(cle, 8pt+black);

🔗solids-fig006

Figure solids 006 Generated with Asymptote

// Author: John Bowman
import three;
size(6cm,0);
currentprojection=perspective(10,100,50);
real a=2.5;

draw(scale3(a)*unitsphere,lightyellow);
draw(align(unit(currentprojection.vector()))*scale3(a)*unitcircle3,2bp+red);

🔗solids-fig007

Figure solids 007 Generated with Asymptote

Show solids/fig0070.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 3D | Solids.asy
Tags : #Solid | #Surface | #Sphere | #Draw (3D)

import solids;
size(6cm,0);
currentprojection=orthographic(1,2,2);

surface s=surface(sphere(1,n=10));

material m = material(
  diffusepen = 0.8*red,
  emissivepen= yellow,
  specularpen= red
);

material[] p={m, red, 0.8*(red+blue) , green, 0.8*blue};
p.cyclic=true;

draw(s,p);

🔗solids-fig009

Figure solids 009 Generated with Asymptote

size(8cm, 0);
import solids;
import graph3;

//Draw 3D right angle (MA, MB)
void drawrightangle(picture pic=currentpicture,
                    triple M, triple A, triple B,
                    real radius=0,
                    pen p=currentpen,
                    pen fillpen=nullpen,
                    projection P=currentprojection)
{
  p=linejoin(0)+linecap(0)+p;
  if (radius==0) radius=arrowfactor*sqrt(2);
  transform3 T=shift(-M);
  triple OA=radius/sqrt(2)*unit(T*A),
    OB=radius/sqrt(2)*unit(T*B),
    OC=OA+OB;
  path3 tp=OA--OC--OB;
  picture tpic;
  draw(tpic, tp, p=p);
  if (fillpen!=nullpen) draw(tpic, surface(O--tp--cycle), fillpen);
  add(pic, tpic, M);
}

currentprojection=orthographic(10, 15, 3);

real r=10, h=6; // r=sphere radius; h=altitude section
triple Op=(0, 0, h);

limits((0, 0, 0), 1.1*(r, r, r));
axes3("x", "y", "z");

real rs=sqrt(r^2-h^2); // section radius
real ch=180*acos(h/r)/pi;
path3 arcD=Arc(O, r, 180, 0, ch, 0, Y, 50);

revolution sphereD=revolution(O, arcD, Z);
draw(surface(sphereD), opacity(0.5)+lightblue);
draw(shift(0, 0, h)*scale3(rs)*surface(unitcircle3), opacity(0.5));

path3 arcU=Arc(O, r, ch, 0, 0, 0, Y, 10);
revolution sphereU=revolution(O, arcU, Z);
draw(surface(sphereU), opacity(0.33)+lightgrey);

// right triangle OO'A
triple A=rotate(100, Z)*(rs, 0, h);
dot("$O$", O, NW);
dot("$O'$", Op, W);
dot("$A$", A, N);
draw(A--O--Op--A);
drawrightangle(Op, O, A);

if(!is3D())
  shipout(format="pdf", bbox(Fill(paleyellow)));

🔗solids-fig011

Figure solids 011 Generated with Asymptote

Show solids/fig0110.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 3D | Solids.asy
Tags : #Solid | #Revolution | #Wire frame | #Sphere

import solids;
unitsize(4cm);

currentprojection=orthographic(2,2,1);

draw(cylinder(c=(0,0,-1.5),r=1,h=3), m=3);
draw(sphere(r=1), m=2, frontpen=defaultbackpen);