File:WedgeSumSpheres.png
Jump to navigation
Jump to search
Size of this preview: 800 × 600 pixels. Other resolutions: 320 × 240 pixels | 640 × 480 pixels | 1,024 × 768 pixels.
Original file (1,024 × 768 pixels, file size: 230 KB, MIME type: image/png)
Summary
| Description |
English: A wedge sum of two spheres with a cover appropriate to apply the Mayer-Vietoris sequence to calculate its homology groups. |
| Date | |
| Source | Own work using POV-Ray and Inkscape. Based on a drawing by User:GeometryGirl (public domain) |
| Author | RobHar |
Data file
The spheres were produced using POV-Ray v3.6 using the following code:
#include "colors.inc"
#include "shapes.inc"
#include "textures.inc"
camera
{
location <0, 0, -2>
look_at <0, 0, 0>
}
//Striped textures
#declare bluestripes = texture
{
pigment
{
gradient y
colour_map{[0 rgb <0,0,1>][0.1 rgb <1,1,1>]}
}
scale 0.05
finish { ambient 0.3 }
rotate <0,0,45>
}
#declare redstripes = texture
{
pigment
{
gradient y
colour_map{[0 rgb <0.8,0,0>][0.1 rgb <1,1,1>]}
}
scale 0.05
finish { ambient 0.3 }
rotate <0,0,-45>
}
#declare blueredstripes = texture
{
pigment
{
gradient y
colour_map{[0 rgb <0.8,0,0>][0.1 rgb <1,1,1>]}
}
scale 0.05
finish { ambient 0.3 }
rotate <0,0,-45>
}
texture
{
pigment
{
gradient y
colour_map{[0 rgb <0,0,0.8>][0.1 rgb <1,1,1> filter 1]}
}
scale 0.05
finish { ambient 0.3 }
rotate <0,0,45>
}
//Blue sphere
object
{
sphere
{
<-0.5, 0, 0>, 0.5
texture
{
bluestripes
}
}
clipped_by{plane{x,-0.20}}
}
//Red sphere
object
{
sphere
{
<0.5, 0, 0>, 0.5
texture
{
redstripes
}
}
clipped_by{plane{-x,-0.20}}
}
//Middle part
union
{
sphere
{
<-0.5, 0, 0>, 0.5
clipped_by{plane{-x,0.2}}
}
sphere
{
<0.5, 0, 0>, 0.5
clipped_by{plane{x,0.2}}
}
texture
{
blueredstripes
}
}
//Basepoint
sphere
{
<0,0,-0.2> 0.02
pigment {colour Black}
}
//Empty background
plane
{
<0, 1, 0>, -2
no_image
}
light_source { <0, 1.5, -2> color White}
Licensing
|
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 02:44, 18 December 2008 | | 1,024 × 768 (230 KB) | wikimediacommons>RobHar | {{Information |Description={{en|1=A wedge sum of two spheres with a cover appropriate to apply the Mayer-Vietoris sequence to calculate its homology groups.}} |Source=Own work using POV-Ray and Inkscape |Author=RobHar |Date=2008-12-17 |Per |
File usage
There are no pages that use this file.
