ਅਸਲ ਫ਼ਾਈਲ(742 × 826 ਪਿਕਸਲ, ਫ਼ਾਈਲ ਅਕਾਰ: 51 KB, MIME ਕਿਸਮ: image/jpeg)

ਇਹ ਫ਼ਾਈਲ Wikimedia Commons ਦੀ ਹੈ ਅਤੇ ਹੋਰ ਪਰਿਯੋਜਨਾਵਾਂ ਵਿੱਚ ਵੀ ਵਰਤੀ ਜਾ ਸਕਦੀ ਹੈ । ਇਸ ਫ਼ਾਈਲ ਦੇ ਵੇਰਵਾ ਸਫ਼ੇ ਵਿੱਚ ਮੌਜੂਦ ਵੇਰਵਾ ਹੇਠ ਦਿਸ ਰਿਹਾ ਹੈ।

ਸਾਰ

ਵੇਰਵਾ
English: A Hexahedron (cube). A regular polyhedron.
ਸਰੋਤ see below
ਲਿਖਾਰੀ The original uploader was Cyp at ਅੰਗਰੇਜ਼ੀ ਵਿਕੀਪੀਡੀਆ.
File:Hexahedron.svg is a vector version of this file. It should be used in place of this JPG file when not inferior.

File:Hexahedron.jpg → File:Hexahedron.svg

For more information, see Help:SVG.

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ਲਸੰਸ

GNU head ਇਸ ਸਫ਼ੇ ਨੂੰ ਗਨੂ ਲਸੰਸ, ਵਰਜ਼ਨ 1.2 ਜਾਂ ਫਰੀ ਸਾਫਟਵੇਅਰ ਫਾਊਂਡੇਸ਼ਨ ਦੁਆਰਾ ਪ੍ਰਕਾਸ਼ਿਤ ਕੀਤੇ ਨਵੇਂ ਵਰਜ਼ਨ ਤਹਿਤ ਕਾਪੀ ਕਰਨ, ਵੰਡਣ ਜਾਂ/ਅਤੇ ਤਬਦੀਲੀ ਕਰਨ ਦੀ ਖੁੱਲ ਹੈ; ਬਿਨਾ ਕਿਸੇ ਸਥਿਰ ਫਰੰਟ-ਕਵਰ ਜਾਂ ਬੈਕ ਕਵਰ ਲਿਖਤਾਂ ਤੋਂ ਬਿਨਾਂ। ਇਸ ਲਸੰਸ ਦੀ ਇੱਕ ਕਾਪੀ ਇਸ ਗਨੂ ਫਰੀ ਲਸੰਸ ਭਾਗ ਵਿੱਚ ਮੌਜੂਦ ਹੈ।
w:en:Creative Commons
ਗੁਣਾਂ ਦੀ ਦੱਸ ਸ਼ੇਅਰ ਅਲਾਈਕ
ਇਸ ਫ਼ਾਈਲ ਦਾ ਲਸੰਸ ਕ੍ਰਿਏਟਿਵ ਕਾਮਨਜ਼ ਐਟ੍ਰੀਬਿਊਸ਼ਨ-ਸ਼ੇਅਰ ਅਲਾਈਕ 3.0 ਅਨਪੋਰਟੇਡ ਹੈ।
ਤੁਹਾਨੂੰ ਖੁੱਲ੍ਹ ਹੈ:
  • ਸਾਂਝਾ ਕਰਨ ਦੀ – ਰਚਨਾ ਨੂੰ ਕਾਪੀ, ਵੰਡਣਾ ਅਤੇ ਭੇਜਣਾ
  • ਮੁੜ-ਰਲ਼ਾਉਣ ਦੀ – ਰਚਨਾ ਨੂੰ ਢਾਲਣਾ
ਥੱਲੇ ਲਿਖੀਆਂ ਸ਼ਰਤਾਂ ਹੇਠ:
  • ਗੁਣਾਂ ਦੀ ਦੱਸ – ਉਚਿਤ ਕ੍ਰੈਡਿਟ ਦੇਵੋ, ਲਾਇਸੰਸ ਦਾ ਇੱਕ ਲਿੰਕ ਪ੍ਰਦਾਨ ਕਰੋ ਅਤੇ ਇਹ ਦਰਸਾਓ ਕਿ ਕੀ ਤਬਦੀਲੀਆਂ ਕੀਤੀਆਂ ਗਈਆਂ ਸਨ। ਤੁਸੀਂ ਇਹ ਕਿਸੇ ਵੀ ਵਾਜਬ ਤਰੀਕੇ ਨਾਲ ਕਰ ਸਕਦੇ ਹੋ, ਪਰ ਇਹ ਤਰੀਕਾ ਅਜਿਹਾ ਨਹੀਂ ਹੋਣਾ ਚਾਹੀਦਾ ਜੋ ਇਹ ਦਰਸਾਵੇ ਕਿ ਲਾਇਸੰਸਕਰਤਾ ਤੁਹਾਨੂੰ ਜਾਂ ਤੁਹਾਡੀ ਵਰਤੋਂ ਦਾ ਸਮਰਥਨ ਕਰਦਾ ਹੈ।
  • ਸ਼ੇਅਰ ਅਲਾਈਕ – ਜੇਕਰ ਤੁਸੀਂ ਸਮੱਗਰੀ ਨੂੰ ਰੀਮਿਕਸ ਕਰਦੇ ਹੋ, ਬਦਲਦੇ ਹੋ ਜਾਂ ਬਣਾਉਂਦੇ ਹੋ, ਤਾਂ ਆਪਣੇ ਯੋਗਦਾਨ ਇੱਕੋ ਜਿਹੇ ਜਾਂ ਅਨੁਕੂਲ ਲਾਇਸੰਸ ਦੇ ਅਧੀਨ ਕਰੋ।
This licensing tag was added to this file as part of the GFDL licensing update.

Povray src code

Hexahedron, made by me using POV-Ray, see en:User:Cyp/Poly.pov for source.}}

//Picture   ***  Use flashiness=1 !!! ***
//
//   +w1024 +h1024 +a0.3 +am2
//   +w512 +h512 +a0.3 +am2
//
//Movie   ***  Use flashiness=0.25 !!! ***
//
//   +kc +kff120 +w256 +h256 +a0.3 +am2
//   +kc +kff60 +w256 +h256 +a0.3 +am2
//"Fast" preview
//   +w128 +h128
#declare notwireframe=1;
#declare withreflection=0;
#declare flashiness=0.25; //Still pictures use 1, animated should probably be about 0.25.

#macro This_shape_will_be_drawn()
   //PLATONIC SOLIDS ***********
  //tetrahedron() #declare rotation=seed(1889/*1894*/);
  //hexahedron() #declare rotation=seed(7122);
  //octahedron() #declare rotation=seed(4193);
  //dodecahedron() #declare rotation=seed(4412);
  //icosahedron() #declare rotation=seed(7719);


  //weirdahedron() #declare rotation=seed(7412);


   //ARCHIMEDIAN SOLIDS ***********
  //cuboctahedron() #declare rotation=seed(1941);
  //icosidodecahedron() #declare rotation=seed(2241);

  //truncatedtetrahedron() #declare rotation=seed(8717);
  //truncatedhexahedron() #declare rotation=seed(1345);
  //truncatedoctahedron() #declare rotation=seed(7235);
  //truncateddodecahedron() #declare rotation=seed(9374);
  //truncatedicosahedron() #declare rotation=seed(1666);

  //rhombicuboctahedron() #declare rotation=seed(6124);
  //truncatedcuboctahedron() #declare rotation=seed(1156);
  //rhombicosidodecahedron() #declare rotation=seed(8266);
  //truncatedicosidodecahedron() #declare rotation=seed(1422);

  //snubhexahedron(-1) #declare rotation=seed(7152);
  //snubhexahedron(1) #declare rotation=seed(1477);
  //snubdodecahedron(-1) #declare rotation=seed(5111);
  //snubdodecahedron(1) #declare rotation=seed(8154);


   //CATALAN SOLIDS ***********
  //rhombicdodecahedron() #declare rotation=seed(7154);
  //rhombictriacontahedron() #declare rotation=seed(1237);

  //triakistetrahedron() #declare rotation=seed(7735);
  //triakisoctahedron() #declare rotation=seed(5354);
  //tetrakishexahedron() #declare rotation=seed(1788);
  //triakisicosahedron() #declare rotation=seed(1044);
  //pentakisdodecahedron() #declare rotation=seed(6100);

  //deltoidalicositetrahedron() #declare rotation=seed(5643);
  //disdyakisdodecahedron() #declare rotation=seed(1440);
  //deltoidalhexecontahedron() #declare rotation=seed(1026);
  //disdyakistriacontahedron() #declare rotation=seed(1556);

  //pentagonalicositetrahedron(-1) #declare rotation=seed(7771);
  //pentagonalicositetrahedron(1) #declare rotation=seed(3470);
  //pentagonalhexecontahedron(-1) #declare rotation=seed(1046);
  //pentagonalhexecontahedron(1) #declare rotation=seed(1096);

   //PRISMS, ANTIPRISMS, ETC... ***********
  //rprism(5) #declare rotation=seed(6620);
  antiprism(5) #declare rotation=seed(6620);
  //bipyramid(5) #declare rotation=seed(6620);
  //trapezohedron(17) #declare rotation=seed(6620);

#end


#declare tau=(1+sqrt(5))/2;
#declare sq2=sqrt(2);
#declare sq297=sqrt(297);
#declare xi=(pow(sq297+17,1/3)-pow(sq297-17,1/3)-1)/3;
#declare sqweird=sqrt(tau-5/27);
#declare ouch=pow((tau+sqweird)/2,1/3)+pow((tau-sqweird)/2,1/3);
#declare alfa=ouch-1/ouch;
#declare veta=(ouch+tau+1/ouch)*tau;

#macro tetrahedron()
  addpointsevensgn(<1,1,1>)
  autoface()
#end

#macro hexahedron()
  addpointssgn(<1,1,1>,<1,1,1>)
  autoface()
#end

#macro octahedron()
  addevenpermssgn(<1,0,0>,<1,0,0>)
  autoface()
#end

#macro dodecahedron()
  addpointssgn(<1,1,1>,<1,1,1>)
  addevenpermssgn(<0,1/tau,tau>,<0,1,1>)
  autoface()
#end

#macro icosahedron()
  addevenpermssgn(<0,1,tau>,<0,1,1>)
  autoface()
#end


#macro weirdahedron()
  addpermssgn(<1,2,3>,<1,1,1>)
  autoface()
#end


#macro cuboctahedron()
  addevenpermssgn(<0,1,1>,<0,1,1>)
  autoface()
#end

#macro icosidodecahedron()
  addevenpermssgn(<0,0,2*tau>,<0,0,1>)
  addevenpermssgn(<1,tau,1+tau>,<1,1,1>)
  autoface()
#end


#macro truncatedtetrahedron()
  addevenpermsevensgn(<1,1,3>)
  autoface()
#end

#macro truncatedhexahedron()
  addevenpermssgn(<sq2-1,1,1>,<1,1,1>)
  autoface()
#end

#macro truncatedoctahedron()
  addpermssgn(<0,1,2>,<0,1,1>)
  autoface()
#end

#macro truncateddodecahedron()
  addevenpermssgn(<0,1/tau,2+tau>,<0,1,1>)
  addevenpermssgn(<1/tau,tau,2*tau>,<1,1,1>)
  addevenpermssgn(<tau,2,1+tau>,<1,1,1>)
  autoface()
#end

#macro truncatedicosahedron()
  addevenpermssgn(<0,1,3*tau>,<0,1,1>)
  addevenpermssgn(<2,1+2*tau,tau>,<1,1,1>)
  addevenpermssgn(<1,2+tau,2*tau>,<1,1,1>)
  autoface()
#end


#macro rhombicuboctahedron()
  addevenpermssgn(<1+sq2,1,1>,<1,1,1>)
  autoface()
#end

#macro truncatedcuboctahedron()
  addpermssgn(<1,1+sq2,1+sq2*2>,<1,1,1>)
  autoface()
#end

#macro rhombicosidodecahedron()
  addevenpermssgn(<1,1,1+2*tau>,<1,1,1>)
  addevenpermssgn(<tau,2*tau,1+tau>,<1,1,1>)
  addevenpermssgn(<2+tau,0,1+tau>,<1,0,1>)
  autoface()
#end

#macro truncatedicosidodecahedron()
  addevenpermssgn(<1/tau,1/tau,3+tau>,<1,1,1>)
  addevenpermssgn(<2/tau,tau,1+2*tau>,<1,1,1>)
  addevenpermssgn(<1/tau,1+tau,3*tau-1>,<1,1,1>)
  addevenpermssgn(<2*tau-1,2,2+tau>,<1,1,1>)
  addevenpermssgn(<tau,3,2*tau>,<1,1,1>)
  autoface()
#end


#macro snubhexahedron(s)
  addpermsaltsgn(<1,1/xi,xi>*s)
  autoface()
#end

#macro snubdodecahedron(s)
  addevenpermsevensgn(<2*alfa,2,2*veta>*s)
  addevenpermsevensgn(<alfa+veta/tau+tau,-alfa*tau+veta+1/tau,alfa/tau+veta*tau-1>*s)
  addevenpermsevensgn(<-alfa/tau+veta*tau+1,-alfa+veta/tau-tau,alfa*tau+veta-1/tau>*s)
  addevenpermsevensgn(<-alfa/tau+veta*tau-1,alfa-veta/tau-tau,alfa*tau+veta+1/tau>*s)
  addevenpermsevensgn(<alfa+veta/tau-tau,alfa*tau-veta+1/tau,alfa/tau+veta*tau+1>*s)
  autoface()
#end

#macro rhombicdodecahedron()
  cuboctahedron() dual()
#end

#macro rhombictriacontahedron()
  icosidodecahedron() dual()
#end

#macro triakistetrahedron()
  truncatedtetrahedron() dual()
#end

#macro triakisoctahedron()
  truncatedhexahedron() dual()
#end

#macro tetrakishexahedron()
  truncatedoctahedron() dual()
#end

#macro triakisicosahedron()
  truncateddodecahedron() dual()
#end

#macro pentakisdodecahedron()
  truncatedicosahedron() dual()
#end

#macro deltoidalicositetrahedron()
  rhombicuboctahedron() dual()
#end

#macro disdyakisdodecahedron()
  truncatedcuboctahedron() dual()
#end

#macro deltoidalhexecontahedron()
  rhombicosidodecahedron() dual()
#end

#macro disdyakistriacontahedron()
  truncatedicosidodecahedron() dual()
#end

#macro pentagonalicositetrahedron(s)
  snubhexahedron(s) dual()
#end

#macro pentagonalhexecontahedron(s)
  snubdodecahedron(s) dual()
#end

#macro rprism(n)
  #local a=sqrt((1-cos(2*pi/n))/2);
  #local b=0; #while(b<n-.5)
    addpointssgn(<sin(2*pi*b/n),cos(2*pi*b/n),a>,<0,0,1>)
  #local b=b+1; #end
  autoface()
#end

#macro antiprism(n)
  #local a=sqrt((cos(pi/n)-cos(2*pi/n))/2);
  #local b=0; #while(b<2*n-.5)
    addpoint(<sin(pi*b/n),cos(pi*b/n),a>)
  #local a=-a; #local b=b+1; #end
  autoface()
#end

#macro bipyramid(n)
  rprism(n) dual()
#end

#macro trapezohedron(n)
  antiprism(n) dual()
#end


#declare points=array[1000];
#declare npoints=0;
#declare faces=array[1000];
#declare nfaces=0;
#macro addpoint(a)
  #declare points[npoints]=a;
  #declare npoints=npoints+1;
#end
#macro addevenperms(a)
  addpoint(a)
  addpoint(<a.y,a.z,a.x>)
  addpoint(<a.z,a.x,a.y>)
#end
#macro addperms(a)
  addevenperms(a)
  addevenperms(<a.x,a.z,a.y>)
#end
#macro addpointssgn(a,s)
  addpoint(a)
  #if(s.x) addpointssgn(a*<-1,1,1>,s*<0,1,1>) #end
  #if(s.y) addpointssgn(a*<1,-1,1>,s*<0,0,1>) #end
  #if(s.z) addpoint(a*<1,1,-1>) #end
#end
#macro addevenpermssgn(a,s)
  addpointssgn(a,s)
  addpointssgn(<a.y,a.z,a.x>,<s.y,s.z,s.x>)
  addpointssgn(<a.z,a.x,a.y>,<s.z,s.x,s.y>)
#end
#macro addpermssgn(a,s)
  addevenpermssgn(a,s)
  addevenpermssgn(<a.x,a.z,a.y>,<s.x,s.z,s.y>)
#end
#macro addpointsevensgn(a)
  addpoint(a)
  addpoint(a*<-1,-1,1>)
  addpoint(a*<-1,1,-1>)
  addpoint(a*<1,-1,-1>)
#end
#macro addevenpermsevensgn(a)
  addevenperms(a)
  addevenperms(a*<-1,-1,1>)
  addevenperms(a*<-1,1,-1>)
  addevenperms(a*<1,-1,-1>)
#end
#macro addpermsaltsgn(a)
  addevenpermsevensgn(a)
  addevenpermsevensgn(<a.x,a.z,-a.y>)
#end
/*#macro addevenpermssgn(a,s) //Calls addevenperms with, for each 1 in s, a.{x,y,z} replaced with {+,-}a.{x,y,z}
  addevenperms(a)
  #if(s.x) addevenpermssgn(a*<-1,1,1>,s*<0,1,1>) #end
  #if(s.y) addevenpermssgn(a*<1,-1,1>,s*<0,0,1>) #end
  #if(s.z) addevenperms(a*<1,1,-1>) #end
#end*/
#macro addface(d,l)
  #local a=vnormalize(d)/l; 
  #local f=1;
  #local n=0; #while(n<nfaces-.5)
    #if(vlength(faces[n]-a)<0.00001) #local f=0; #end
  #local n=n+1; #end
  #if(f)
    #declare faces[nfaces]=a;
    #declare nfaces=nfaces+1;
  #end
#end
#macro dual()
  #declare temp=faces;
  #declare faces=points;
  #declare points=temp; 
  #declare temp=nfaces;
  #declare nfaces=npoints;
  #declare npoints=temp; 
#end

#macro autoface() //WARNING: ONLY WORKS IF ALL EDGES HAVE EQUAL LENGTH
  //Find edge length 
  #declare elength=1000;
  #local a=0; #while(a<npoints-.5) #local b=0; #while(b<npoints-.5)
    #local c=vlength(points[a]-points[b]); #if(c>0.00001 & c<elength) #local elength=c; #end
  #local b=b+1; #end #local a=a+1; #end

  //Find planes
  //#macro planes()
  #local a=0; #while(a<npoints-.5)
    #local b=a+1; #while(b<npoints-.5)
      #if(vlength(points[a]-points[b])<elength+0.00001) #local c=b+1; #while(c<npoints-.5)
        #if(vlength(points[a]-points[c])<elength+0.00001)
          #local n=vnormalize(vcross(points[b]-points[a],points[c]-points[a]));
          #local d=vdot(n,points[a]);
          #if(d<0) #local n=-n; #local d=-d; #end
          #local f=1;
          #local e=0; #while(e<npoints-.5)
            #if(vdot(n, points[e])>d+0.00001) #local f=0; #end
          #local e=e+1; #end
          #if(f)
            #declare ld=d;
            addface(n,d) //plane { n, d }
          #end
        #end
      #local c=c+1; #end #end
    #local b=b+1; #end
  #local a=a+1; #end
#end

This_shape_will_be_drawn()

//Random rotations are (hopefully) equally distributed...
#declare rot1=rand(rotation)*pi*2;
#declare rot2=acos(1-2*rand(rotation));
#declare rot3=(rand(rotation)+clock)*pi*2;
#macro dorot()
  rotate rot1*180/pi*y
  rotate rot2*180/pi*x
  rotate rot3*180/pi*y
#end

//Scale shape to fit in unit sphere
#local b=0;
#local a=0; #while(a<npoints-.5)
  #local c=vlength(points[a]); #if(c>b) #local b=c; #end
#local a=a+1; #end
#local a=0; #while(a<npoints-.5)
  #local points[a]=points[a]/b;
#local a=a+1; #end
#local a=0; #while(a<nfaces-.5)
  #local faces[a]=faces[a]*b;
#local a=a+1; #end

//Draw edges
#macro addp(a)
  #declare p[np]=a;
  #declare np=np+1;
#end
#local a=0; #while(a<nfaces-.5)
  #declare p=array[20];
  #declare np=0;
  #local b=0; #while(b<npoints-.5)
    #if(vdot(faces[a],points[b])>1-0.00001) addp(b) #end
  #local b=b+1; #end
  #local c=0; #while(c<np-.5)
    #local d=0; #while(d<np-.5) #if(p[c]<p[d]-.5)
      #local f=1;
      #local e=0; #while(e<np-.5) #if(e!=c & e!=d & vdot(vcross(points[p[c]],points[p[d]]),points[p[e]])<0)
        #local f=0;
      #end #local e=e+1; #end
      #if(f)
        object {
          cylinder { points[p[c]], points[p[d]], .01 dorot() }
          pigment { colour <.3,.3,.3> }
          finish { ambient 0 diffuse 1 phong 1 }
        }
      #end #end        
    #local d=d+1; #end
  #local c=c+1; #end
#local a=a+1; #end
/*#local a=0; #while(a<npoints-.5)
  #local b=a+1; #while(b<npoints-.5)
    #if(vlength(points[a]-points[b])<elength+0.00001)
      object {
        cylinder { points[a], points[b], .01 dorot() }
        pigment { colour <.3,.3,.3> }
        finish { ambient 0 diffuse 1 phong 1 }
      }
    #end
  #local b=b+1; #end
#local a=a+1; #end*/

//Draw points
#local a=0; #while(a<npoints-.5)
  object {
    sphere { points[a], .01 dorot() }
    pigment { colour <.3,.3,.3> }
    finish { ambient 0 diffuse 1 phong 1 }
  }
#local a=a+1; #end

#if(notwireframe)
//Draw planes
object {
  intersection {
    #local a=0; #while(a<nfaces-.5)
      plane { faces[a], 1/vlength(faces[a]) }
    #local a=a+1; #end
    //planes()
    //sphere { <0,0,0>, 1 }
    //sphere { <0,0,0>, ld+.01 inverse }
    dorot()
  }
  pigment { colour rgbt <.8,.8,.8,.4> }
  finish { ambient 0 diffuse 1 phong flashiness #if(withreflection) reflection { .2 } #end }
  //interior { ior 1.5 }
  photons {
    target on
    refraction on
    reflection on
    collect on
  }
}
#end

//  CCC Y Y PP
//  C   Y Y P P
//  C    Y  PP
//  C    Y  P
//  CCC  Y  P

#local a=0;
#while(a<11.0001)
  light_source { <4*sin(a*pi*2/11), 5*cos(a*pi*6/11), -4*cos(a*pi*2/11)> colour (1+<sin(a*pi*2/11),sin(a*pi*2/11+pi*2/3),sin(a*pi*2/11+pi*4/3)>)*2/11 }
  #local a=a+1;
#end

background { color <1,1,1> }

camera {
  perspective
  location <0,0,0>
  direction <0,0,1>
  right x/2
  up y/2
  sky <0,1,0>
  location <0,0,-4.8>
  look_at <0,0,0>
}

global_settings {
  max_trace_level 40
  photons {
    count 200000
    autostop 0
  }
}

Captions

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ਚਿਤਰਨ

copyright status ਅੰਗਰੇਜ਼ੀ

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ਫ਼ਾਈਲ ਦਾ ਅਤੀਤ

ਤਾਰੀਖ/ਸਮੇਂ ’ਤੇ ਕਲਿੱਕ ਕਰੋ ਤਾਂ ਉਸ ਸਮੇਂ ਦੀ ਫਾਈਲ ਪੇਸ਼ ਹੋ ਜਾਵੇਗੀ।

ਮਿਤੀ/ਸਮਾਂਨਮੂਨਾਨਾਪਵਰਤੋਂਕਾਰਟਿੱਪਣੀ
ਮੌਜੂਦਾ20:28, 6 ਜਨਵਰੀ 200520:28, 6 ਜਨਵਰੀ 2005 ਵੇਲੇ ਦੇ ਵਰਜਨ ਦਾ ਅੰਗੂਠਾਕਾਰ ਰੂਪ742 × 826 (51 KB)Kjell AndréA Hexahedron (cube). A regular polyhedron.

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ਇਸ ਫ਼ਾਈਲ ਦੀ ਹੋਰ ਵਿਆਪਕ ਵਰਤੋਂ ਵੇਖੋ।