File:Hexahedron.jpg
![File:Hexahedron.jpg](http://upload.wikimedia.org/wikipedia/commons/thumb/7/78/Hexahedron.jpg/538px-Hexahedron.jpg)
本预览的尺寸:538 × 599像素。 其他分辨率:216 × 240像素 | 431 × 480像素 | 742 × 826像素。
原始文件 (742 × 826像素,文件大小:51 KB,MIME类型:image/jpeg)
摘要
描述Hexahedron.jpg |
English: A Hexahedron (cube). A regular polyhedron. |
来源 | see below |
作者 | 原上传者为英语维基百科的Cyp |
![]() |
File:Hexahedron.svg是此文件的矢量版本。 如果此文件质量不低于原点阵图,就应该将这个JPG格式文件替换为此文件。
File:Hexahedron.jpg → File:Hexahedron.svg
更多信息请参阅Help:SVG/zh。
|
许可协议
![]() |
已授权您依据自由软件基金会发行的无固定段落及封面封底文字(Invariant Sections, Front-Cover Texts, and Back-Cover Texts)的GNU自由文件许可协议1.2版或任意后续版本的条款,复制、传播和/或修改本文件。该协议的副本请见“GNU Free Documentation License”。http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
![]() ![]() ![]() |
本文件采用知识共享署名-相同方式共享 3.0 未本地化版本许可协议授权。 | |
| ||
本许可协议标签作为GFDL许可协议更新的组成部分被添加至本文件。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是此文件的矢量版本。 应当将此点阵图片替换为该文件。
File:Hexahedron.jpg → File:Hexahedron.svg
更多信息请参阅Help:SVG/zh。
|
说明
添加一行文字以描述该文件所表现的内容
Image of Cube
此文件中描述的项目
描绘内容
文件历史
点击某个日期/时间查看对应时刻的文件。
日期/时间 | 缩略图 | 大小 | 用户 | 备注 | |
---|---|---|---|---|---|
当前 | 2005年1月6日 (四) 20:28 | ![]() | 742 × 826(51 KB) | Kjell André | A Hexahedron (cube). A regular polyhedron. |
文件用途
全域文件用途
以下其他wiki使用此文件:
- ar.wikipedia.org上的用途
- ary.wikipedia.org上的用途
- az.wikipedia.org上的用途
- bg.wikipedia.org上的用途
- ca.wikipedia.org上的用途
- cs.wikipedia.org上的用途
- da.wikipedia.org上的用途
- de.wikipedia.org上的用途
- en.wikipedia.org上的用途
- en.wikibooks.org上的用途
- en.wikiversity.org上的用途
- eo.wikipedia.org上的用途
- es.wikipedia.org上的用途
- eu.wikipedia.org上的用途
- fr.wikipedia.org上的用途
- fr.wiktionary.org上的用途
- gl.wikipedia.org上的用途
- he.wikipedia.org上的用途
- he.wikibooks.org上的用途
- he.wiktionary.org上的用途
查看此文件的更多全域用途。