चित्र:Hexahedron.jpg
पृष्ठ की सामग्री दूसरी भाषाओं में उपलब्ध नहीं है।
मुक्त ज्ञानकोश विकिपीडिया से
इस पूर्वावलोकन का आकार: 538 × 599 पिक्सेल। दूसरे रेसोल्यूशन्स: 216 × 240 पिक्सेल | 431 × 480 पिक्सेल | 742 × 826 पिक्सेल।
मूल चित्र ((742 × 826 पिक्सेल, फ़ाइल का आकार: 51 KB, MIME प्रकार: image/jpeg))
यह फ़ाइल विकिमेडिया कॉमन्स से है। वहाँ पर इसका विवरण पृष्ठ निम्नोक्त है। कॉमन्स मुक्त लाइसेंसों के अंतर्गत उपलब्ध मीडिया फ़ाइलों का संग्रह है। आप भी इसमें मदद कर सकते हैं। |
सारांश
विवरणHexahedron.jpg |
English: A Hexahedron (cube). A regular polyhedron. |
स्रोत | see below |
लेखक | इसका मूल अपलोड करने वाला अंग्रेज़ी विकिपीडिया पर Cyp है। |
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.
|
लाइसेंस
इस दस्तावेज़ को Free Software Foundation द्वारा प्रकाशित GNU मुक्त प्रलेख लाइसेंस के संस्करण 1.2 या नए (बिना किसी अपरिवर्तनीय अनुभागों और अगले या पिछले आवरण के टेक्स्ट के) के अंतर्गत प्रतिलिपि बनाने, बाँटने और/या बदलने की अनुमति प्रदान की जाती है। इस लाइसेंस की एक प्रतिलिपि GNU मुक्त प्रलेख लाइसेंस नामक अनुभाग में शामिल है।http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
इस फ़ाइल को क्रिएटिव कॉमन्स श्रेय-समानसांझा 3.0 अनरिपोर्टेड लाइसेंस के अंतर्गत लाइसेंस किया गया है। | ||
| ||
This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue |
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
}
}
File:Hexahedron.svg is a vector version of this file. It should be used in place of this JPG file.
File:Hexahedron.jpg → File:Hexahedron.svg
For more information, see Help:SVG.
|
Items portrayed in this file
चित्रण
चित्र का इतिहास
फ़ाइलका पुराना अवतरण देखने के लिये दिनांक/समय पर क्लिक करें।
दिनांक/समय | थंबनेल | आकार | सदस्य | प्रतिक्रिया | |
---|---|---|---|---|---|
वर्तमान | 20:28, 6 जनवरी 2005 | 742 × 826 (51 KB) | Kjell André | A Hexahedron (cube). A regular polyhedron. |
चित्र का उपयोग
इस चित्र से कोई पन्ने नहीं जुड़ते
चित्र का वैश्विक उपयोग
इस चित्र का उपयोग इन दूसरे विकियों में किया जाता है:
- ar.wikipedia.org पर उपयोग
- ary.wikipedia.org पर उपयोग
- az.wikipedia.org पर उपयोग
- bg.wikipedia.org पर उपयोग
- ca.wikipedia.org पर उपयोग
- cs.wikipedia.org पर उपयोग
- da.wikipedia.org पर उपयोग
- de.wikipedia.org पर उपयोग
- en.wikipedia.org पर उपयोग
- en.wikibooks.org पर उपयोग
- en.wikiversity.org पर उपयोग
- eo.wikipedia.org पर उपयोग
- es.wikipedia.org पर उपयोग
- eu.wikipedia.org पर उपयोग
- fr.wikipedia.org पर उपयोग
- fr.wiktionary.org पर उपयोग
- gl.wikipedia.org पर उपयोग
- he.wikipedia.org पर उपयोग
- he.wikibooks.org पर उपयोग
- he.wiktionary.org पर उपयोग
इस चित्र के वैश्विक उपयोग की अधिक जानकारी देखें।
"https://hi.wikipedia.org/wiki/चित्र:Hexahedron.jpg" से प्राप्त