## Asymptote using solids.asy – fig0110

Category: Asymptote,Examples 3D,solids.asyPh. Ivaldi @ 12 h 56 min

 (Compiled with Asymptote version 2.14svn-r5318)
```
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);

```

Étiquettes : , , ,

## Asymptote using solids.asy – fig0120

Category: Asymptote,Examples 3D,solids.asyPh. Ivaldi @ 13 h 56 min

 (Compiled with Asymptote version 2.14svn-r5318)
```
import solids;

size(10cm,0);
currentprojection=orthographic(-50,100,40);

//Draw right angle (MA,MB) in 3D
void drawrightangle(picture pic=currentpicture,
triple M, triple A, triple B,
pen p=currentpen,
pen fillpen=nullpen,
projection P=currentprojection)
{
p=linejoin(0)+linecap(0)+p;
transform3 T=shift(-M);
OC=OA+OB;
path3 _p=OA--OC--OB;
picture pic_;
draw(pic_, _p, p=p);
if (fillpen!=nullpen) draw(pic_, surface(O--_p--cycle), fillpen);
}

// *...............Construction starts here................*

real r=1, h=.75;
real gle=60;
real gleA=20;
transform3 tR=rotate(gle,Z);
transform3 tT=shift((0,0,-h));

triple H=(0,0,h),//the label is O in the picture.
A=rotate(gleA,Z)*(0,r,h),
F=tR*A,
B=tR*F,
D=tT*A,
C=tT*B,
Ei=intersectionpoint(H--F,A--B);

revolution r=cylinder(O,r,h,Z);
// draw(surface(r));
draw(r);

draw(O--H, dashed);
draw(O--D--C--cycle^^O--H^^B--C, dashed);

drawrightangle(Ei,H,B,fillpen=black);

dot(Label("\$O'\$",align=invert(NE+E,O)), O);
// layer();
draw(surface(A--B--C--D--cycle),lightgrey+opacity(.5));

dot(Label("\$A\$",align=NW), A);
dot(Label("\$B\$",align=N),B);
dot(Label("\$C\$",align=S), C);
dot(Label("\$D\$",align=NW), D);
dot(Label("\$E\$",align=S), Ei);
dot(Label("\$F\$",align=S), F);
dot(Label("\$O\$",align=N), H);

draw(H--B--F--A--cycle^^H--F^^A--B^^A--D);

```

Étiquettes : , , , ,

## Asymptote using solids.asy – fig0130

Category: Asymptote,Examples 3D,solids.asyPh. Ivaldi @ 14 h 56 min

 (Compiled with Asymptote version 2.14svn-r5318)
```
import solids;
size(8cm,0);
currentprojection=orthographic((2, 1, 2));

revolution r=cylinder((0, 0, 0), 1, -10, X);

draw(r);
draw("\$x\$",O--X,Arrow3);
draw("\$y\$",O--Y,Arrow3);
draw("\$z\$",O--Z,Arrow3);

label(XY()*(scale(2.5)*"This is not a cylinder"), (-5,0,1), align=Z);

```

Étiquettes : , , , ,

## Asymptote using solids.asy – fig0140

Category: Asymptote,Examples 3D,solids.asyPh. Ivaldi @ 15 h 56 min

 (Compiled with Asymptote version 2.14svn-r5318)
```
/*
Author: Jens Schwaiger
With its pleasant authorization.
*/

size(10cm,0);
import bsp;

currentprojection=perspective(10,3,-2);
guide achteck=polygon(8);
real lge=length(point(achteck,1)-point(achteck,0));
int n=8;
face[] faces;
guide3[] sq;
guide3[] tr;
triple a,b,c,d;

a=(point(achteck,0).x,point(achteck,0).y,-lge/2);
b=(point(achteck,1).x,point(achteck,1).y,-lge/2);
c=(point(achteck,1).x,point(achteck,1).y,lge/2);
d=(point(achteck,0).x,point(achteck,0).y,lge/2);

sq[0]=a--b--c--d--cycle;
for(int i=1;i<n;i=i+1) sq[i]=rotate(45*i,Z)*sq[0];
for(int i=0;i<3;i=i+1) sq[n+i]=rotate(90,Y)*sq[i];
for(int i=4;i<7;i=i+1) sq[n-1+i]=rotate(90,Y)*sq[i];
for(int i=2;i<3;i=i+1) sq[12+i]=rotate(90,X)*sq[i];
sq[14]=rotate(90,X)*sq[2];
sq[15]=rotate(90,X)*sq[4];
sq[16]=rotate(90,X)*sq[6];
sq[17]=rotate(90,X)*sq[0];

tr[0]=point(sq[2],3)--point(sq[2],2)--point(sq[14],1)--cycle;
for(int i=1;i<4;i=i+1) tr[i]=rotate(90*i,Z)*tr[0];
tr[4]=reverse(point(sq[2],0)--point(sq[2],1)--point(sq[9],2)--cycle);
for(int i=5;i<8;i=i+1) tr[i]=rotate(90*(i-4),Z)*tr[4];

real hgtsq=3;
triple[][][] pyrsq=new triple[18][4][3];
path3[] pyrsqfc=new path3[4*18];
int nofface=0;
for(int i=0;i<18;i=i+1){
triple cog=0.5(point(sq[i],0)+point(sq[i],2));
triple sp=cog+
hgtsq*unit(cross(point(sq[i],1)-point(sq[i],0),point(sq[i],3)-point(sq[i],0)));
for(int j=0;j<3;j=j+1){
pyrsq[i][j][0]=point(sq[i],j);
pyrsq[i][j][1]=point(sq[i],j+1);
pyrsq[i][j][2]=sp;
pyrsqfc[nofface]=pyrsq[i][j][0]--pyrsq[i][j][1]--pyrsq[i][j][2]--cycle;
nofface=nofface+1;
}
pyrsq[i][3][0]=point(sq[i],3);
pyrsq[i][3][1]=point(sq[i],0);
pyrsq[i][3][2]=sp;
pyrsqfc[nofface]=pyrsq[i][3][0]--pyrsq[i][3][1]--pyrsq[i][3][2]--cycle;
nofface=nofface+1;
}

for(int i=0;i<18*4;i=i+1) faces.push(pyrsqfc[i]);
for(int i=0;i<18*4;i=i+1) filldraw(faces[i],project(pyrsqfc[i]),yellow,black+2.5bp);

path3[] pyrtrfc=new path3[3*8];
real hgttr=2;
int nuoftr=0;

for(int i=0;i<8;i=i+1){
triple cog=(1/3)*(point(tr[i],0)+point(tr[i],1)+point(tr[i],2));
triple sp=cog+hgttr*unit(cross(point(tr[i],1)-point(tr[i],0),point(tr[i],2)-point(tr[i],0)));
pyrtrfc[nuoftr]=point(tr[i],0)--point(tr[i],1)--sp--cycle;
pyrtrfc[nuoftr+1]=point(tr[i],1)--point(tr[i],2)--sp--cycle;
pyrtrfc[nuoftr+2]=point(tr[i],2)--point(tr[i],0)--sp--cycle;
nuoftr=nuoftr+3;
}

for(int j=0;j<24;j=j+1) faces.push(pyrtrfc[j]);
for(int j=0;j<24;j=j+1) filldraw(faces[4*18+j],project(pyrtrfc[j]),orange+yellow,black+2bp);

```

Étiquettes : , ,

## Asymptote using solids.asy – fig0150

Category: Asymptote,Examples 3D,solids.asyPh. Ivaldi @ 16 h 56 min

 (Compiled with Asymptote version 2.14svn-r5318)
```
/*
Author: Jens Schwaiger
With its pleasant authorization.
*/
// PRC/OpenGL version

size(10cm,0);
import graph3;

currentprojection=orthographic(10,3,-2);
// currentlight=nolight;

guide achteck=polygon(8);
real lge=length(point(achteck,1)-point(achteck,0));
int n=8;
guide3[] sq;
guide3[] tr;
triple a,b,c,d;

a=(point(achteck,0).x,point(achteck,0).y,-lge/2);
b=(point(achteck,1).x,point(achteck,1).y,-lge/2);
c=(point(achteck,1).x,point(achteck,1).y,lge/2);
d=(point(achteck,0).x,point(achteck,0).y,lge/2);

sq[0]=a--b--c--d--cycle;
for(int i=1;i<n;i=i+1) sq[i]=rotate(45*i,Z)*sq[0];
for(int i=0;i<3;i=i+1) sq[n+i]=rotate(90,Y)*sq[i];
for(int i=4;i<7;i=i+1) sq[n-1+i]=rotate(90,Y)*sq[i];
for(int i=2;i<3;i=i+1) sq[12+i]=rotate(90,X)*sq[i];
sq[14]=rotate(90,X)*sq[2];
sq[15]=rotate(90,X)*sq[4];
sq[16]=rotate(90,X)*sq[6];
sq[17]=rotate(90,X)*sq[0];

tr[0]=point(sq[2],3)--point(sq[2],2)--point(sq[14],1)--cycle;
for(int i=1;i<4;i=i+1) tr[i]=rotate(90*i,Z)*tr[0];
tr[4]=reverse(point(sq[2],0)--point(sq[2],1)--point(sq[9],2)--cycle);
for(int i=5;i<8;i=i+1) tr[i]=rotate(90*(i-4),Z)*tr[4];

real hgtsq=3;
triple[][][] pyrsq=new triple[18][4][3];
path3[] pyrsqfc=new path3[4*18];
int nofface=0;
for(int i=0;i<18;i=i+1){
triple cog=0.5(point(sq[i],0)+point(sq[i],2));
triple sp=cog+
hgtsq*unit(cross(point(sq[i],1)-point(sq[i],0),point(sq[i],3)-point(sq[i],0)));
for(int j=0;j<3;j=j+1){
pyrsq[i][j][0]=point(sq[i],j);
pyrsq[i][j][1]=point(sq[i],j+1);
pyrsq[i][j][2]=sp;
pyrsqfc[nofface]=pyrsq[i][j][0]--pyrsq[i][j][1]--pyrsq[i][j][2]--cycle;
nofface=nofface+1;
}
pyrsq[i][3][0]=point(sq[i],3);
pyrsq[i][3][1]=point(sq[i],0);
pyrsq[i][3][2]=sp;
pyrsqfc[nofface]=pyrsq[i][3][0]--pyrsq[i][3][1]--pyrsq[i][3][2]--cycle;
nofface=nofface+1;
}

for(int i=0;i<18*4;i=i+1)
draw(surface(pyrsqfc[i]),yellow,black+2.5bp);

path3[] pyrtrfc=new path3[3*8];
real hgttr=2;
int nuoftr=0;

for(int i=0;i<8;i=i+1){
triple cog=(1/3)*(point(tr[i],0)+point(tr[i],1)+point(tr[i],2));
triple sp=cog+hgttr*unit(cross(point(tr[i],1)-point(tr[i],0),point(tr[i],2)-point(tr[i],0)));
pyrtrfc[nuoftr]=point(tr[i],0)--point(tr[i],1)--sp--cycle;
pyrtrfc[nuoftr+1]=point(tr[i],1)--point(tr[i],2)--sp--cycle;
pyrtrfc[nuoftr+2]=point(tr[i],2)--point(tr[i],0)--sp--cycle;
nuoftr=nuoftr+3;
}

for(int j=0;j<24;j=j+1)
draw(surface(pyrtrfc[j]),orange+yellow,black+2bp);

```

Étiquettes : , ,

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