File:Beige concertina cube; Hasse.png
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Size of this preview: 432 × 599 pixels. Other resolutions: 173 × 240 pixels | 346 × 480 pixels | 554 × 768 pixels | 739 × 1,024 pixels | 1,478 × 2,048 pixels | 3,070 × 4,255 pixels.
Original file (3,070 × 4,255 pixels, file size: 806 KB, MIME type: image/png)
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Structured data
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Summary[edit]
DescriptionBeige concertina cube; Hasse.png |
This Hasse diagram as a plain solid This image was created with POV-Ray. |
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Date | |||
Source | Own work | ||
Author |
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Other versions |
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
POV-Ray source[edit]
#include "colors.inc"
light_source { <1500,2500,-2500> color White shadowless }
camera {
angle 32
location <0, -1 ,-13.0>
look_at <0, -0.1, 0>
up <0, 1, 0>
right <1, 0, 0>
}
// define vertices
#macro V(a1,a2,a3)
sphere{ <a1,a2,a3>, 0.1 pigment{color rgb<1,0.8,0.65>*0.05} }
#end
// define thin edges
#macro E1( a1,a2,a3, b1,b2,b3 )
cylinder{ <a1,a2,a3>, <b1,b2,b3>, 0.02 pigment{color rgb<1,0.8,0.65>*0.3} }
#end
// define thick edges
#declare StrongEdgeColor = rgb<1,0.8,0.65>*0.15;
#macro E2( a,b,c,d )
cylinder{ a, b, 0.04 pigment{color StrongEdgeColor} }
cylinder{ b, c, 0.04 pigment{color StrongEdgeColor} }
cylinder{ c, d, 0.04 pigment{color StrongEdgeColor} }
cylinder{ d, a, 0.04 pigment{color StrongEdgeColor} }
#end
union {
// faces
union{
polygon{ 6, <0,0,0> <2,0,0> <3,0,1> <3,0,3> <1,0,3> <0,0,2> }
polygon{ 6, <0,0,0> <2,0,0> <3,1,0> <3,3,0> <1,3,0> <0,2,0> }
polygon{ 6, <0,0,0> <0,2,0> <0,3,1> <0,3,3> <0,1,3> <0,0,2> }
polygon{ 6, <4,4,4> <4,2,4> <3,1,4> <1,1,4> <1,3,4> <2,4,4> }
polygon{ 6, <4,4,4> <2,4,4> <1,4,3> <1,4,1> <3,4,1> <4,4,2> }
polygon{ 6, <4,4,4> <4,4,2> <4,3,1> <4,1,1> <4,1,3> <4,2,4> }
polygon{ 4, <2,0,0> <3,1,0> <4,1,1> <3,0,1> }
polygon{ 4, <0,2,0> <1,3,0> <1,4,1> <0,3,1> }
polygon{ 4, <0,0,2> <1,0,3> <1,1,4> <0,1,3> }
polygon{ 4, <3,3,0> <4,3,1> <4,4,2> <3,4,1> }
polygon{ 4, <3,0,3> <4,1,3> <4,2,4> <3,1,4> }
polygon{ 4, <0,3,3> <1,4,3> <2,4,4> <1,3,4> }
polygon{ 4, <3,1,0> <3,3,0> <4,3,1> <4,1,1> }
polygon{ 4, <4,1,1> <4,1,3> <3,0,3> <3,0,1> }
polygon{ 4, <1,3,0> <3,3,0> <3,4,1> <1,4,1> }
polygon{ 4, <0,3,1> <0,3,3> <1,4,3> <1,4,1> }
polygon{ 4, <1,0,3> <3,0,3> <3,1,4> <1,1,4> }
polygon{ 4, <0,1,3> <0,3,3> <1,3,4> <1,1,4> }
texture {
pigment{ color rgbt<1,0.8,0.65,0.2> }
finish { diffuse 0.6 phong 0.5 reflection 0 }
}
}
//put vertices
V(0,0,0) V(0,2,0) V(1,3,0) V(2,0,0) V(3,1,0) V(3,3,0)
V(0,3,1) V(1,4,1) V(3,0,1) V(3,4,1) V(4,1,1) V(4,3,1)
V(0,0,2) V(4,4,2)
V(0,1,3) V(0,3,3) V(1,0,3) V(1,4,3) V(3,0,3) V(4,1,3)
V(1,1,4) V(1,3,4) V(2,4,4) V(3,1,4) V(4,2,4) V(4,4,4)
// put thin edges
E1( 0,0,0, 2,0,0 ) E1( 1,3,0, 3,3,0 ) E1( 1,4,1, 3,4,1 ) E1( 1,0,3, 3,0,3 ) E1( 1,1,4, 3,1,4 ) E1( 2,4,4, 4,4,4 )
E1( 0,0,0, 0,0,2 ) E1( 3,0,1, 3,0,3 ) E1( 4,1,1, 4,1,3 ) E1( 0,3,1, 0,3,3 ) E1( 1,4,1, 1,4,3 ) E1( 4,4,2, 4,4,4 )
E1( 0,0,0, 0,2,0 ) E1( 3,1,0, 3,3,0 ) E1( 4,1,1, 4,3,1 ) E1( 0,1,3, 0,3,3 ) E1( 1,1,4, 1,3,4 ) E1( 4,2,4, 4,4,4 )
// put thick edges
E2( <2,0,0>, <3,0,1>, <4,1,1>, <3,1,0> ) E2( <0,2,0>, <0,3,1>, <1,4,1>, <1,3,0> ) E2( <0,0,2>, <0,1,3>, <1,1,4>, <1,0,3> )
E2( <4,4,2>, <4,3,1>, <3,3,0>, <3,4,1> ) E2( <4,2,4>, <4,1,3>, <3,0,3>, <3,1,4> ) E2( <2,4,4>, <1,4,3>, <0,3,3>, <1,3,4> )
translate<-2,-2,-2>
rotate 45*z
rotate -35*x
rotate 120*y
}
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 13:21, 7 January 2015 | 3,070 × 4,255 (806 KB) | Watchduck (talk | contribs) | User created page with UploadWizard |
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File usage on Commons
The following 8 pages use this file:
- User:Watchduck/list
- File:Beige concertina cube; hexagon.png
- File:Beige concertina cube; rectangle.png
- File:Beige concertina cube; top.png
- File:Concertina cube.stl
- File:Concertina cube Hasse diagram.png
- File:Potato truncated from cube to predicate lattice; 2d.jpg
- File:Predicate logic; 3 variables; implications lattice; 3D solid, Hasse.png (file redirect)
Metadata
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Horizontal resolution | 35.44 dpc |
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Vertical resolution | 35.44 dpc |
Software used |