File:Tree of weak orderings in concertina cube.png

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Summary

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Description

13 of the 26 points in the concertina cube ordered by refinement of ordered partitions

Flattened
Concertina cube
 
This image was created with POV-Ray.
Date
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Other versions

Animation (works only in original size)

Licensing

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I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution
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.
You may select the license of your choice.

POV-Ray source

[edit]
#version 3.6;
global_settings { assumed_gamma 1.0 }
#default{ finish{ ambient 0.1 diffuse 0.9 conserve_energy}}

#include "colors.inc"


///////////////////////////// camera and light

#local CameraLocation = <0, -1 ,-13.0>;
camera {
    angle 32
    location CameraLocation
    look_at  <0, -0.1, 0>
    up    <0, 1, 0>
    right   <1, 0, 0>
}

light_source{ <-400, 500, -300> color White*0.9 shadowless}
light_source{ <400, 200, 100> color White*0.4 shadowless}
light_source{ CameraLocation  color rgb<0.9,0.9,1>*0.2 shadowless}
sky_sphere{ pigment{ White } }


///////////////////////////// variables

#local VertRad = 0.1;
#local BaseEdgeRad = VertRad / 3.5;
#local ThinEdgeRad = BaseEdgeRad * 0.7;
#local ThickEdgeRad = BaseEdgeRad * 1.3;

#local YR = <1, .5, 0>;
#local YG = <.5, 1, 0>;

#local MR = <1, 0, .5>;
#local MB = <.5, 0, 1>;

#local CG = <0, 1, .5>;
#local CB = <0, .5, 1>;


///////////////////////////// drawing

union{

    // VERTICES

    sphere{ <0, 0, 0>, VertRad pigment{color rgb<0, 0, 0>} }

    sphere{ <2, 0, 0>, VertRad pigment{color Red} }
    sphere{ <4, 1, 1>, VertRad pigment{color Red} }
    sphere{ <0, 2, 0>, VertRad pigment{color Green} }
    sphere{ <1, 4, 1>, VertRad pigment{color Green} }
    sphere{ <0, 0, 2>, VertRad pigment{color Blue} }
    sphere{ <1, 1, 4>, VertRad pigment{color Blue} }

    sphere{ <3, 4, 1>, VertRad pigment{color Yellow} }
    sphere{ <4, 3, 1>, VertRad pigment{color Yellow} }
    sphere{ <3, 1, 4>, VertRad pigment{color Magenta} }
    sphere{ <4, 1, 3>, VertRad pigment{color Magenta} }
    sphere{ <1, 3, 4>, VertRad pigment{color Cyan} }
    sphere{ <1, 4, 3>, VertRad pigment{color Cyan} }


    // EDGES

    cylinder{ <0, 0, 0>, <2, 0, 0>, ThickEdgeRad pigment{color Red} }
    cylinder{ <0, 0, 0>, <4, 1, 1>, ThinEdgeRad pigment{color Red} }
    cylinder{ <0, 0, 0>, <0, 2, 0>, ThickEdgeRad pigment{color Green} }
    cylinder{ <0, 0, 0>, <1, 4, 1>, ThinEdgeRad pigment{color Green} }
    cylinder{ <0, 0, 0>, <0, 0, 2>, ThickEdgeRad pigment{color Blue} }
    cylinder{ <0, 0, 0>, <1, 1, 4>, ThinEdgeRad pigment{color Blue} }

    cylinder{ <2, 0, 0>, <3, 4, 1>, ThinEdgeRad pigment{color YR} }
    cylinder{ <4, 1, 1>, <4, 3, 1>, ThickEdgeRad pigment{color YR} }
    cylinder{ <0, 2, 0>, <4, 3, 1>, ThinEdgeRad pigment{color YG} }
    cylinder{ <1, 4, 1>, <3, 4, 1>, ThickEdgeRad pigment{color YG} }
    cylinder{ <2, 0, 0>, <3, 1, 4>, ThinEdgeRad pigment{color MR} }
    cylinder{ <4, 1, 1>, <4, 1, 3>, ThickEdgeRad pigment{color MR} }
    cylinder{ <0, 0, 2>, <4, 1, 3>, ThinEdgeRad pigment{color MB} }
    cylinder{ <1, 1, 4>, <3, 1, 4>, ThickEdgeRad pigment{color MB} }
    cylinder{ <0, 2, 0>, <1, 3, 4>, ThinEdgeRad pigment{color CG} }
    cylinder{ <1, 4, 1>, <1, 4, 3>, ThickEdgeRad pigment{color CG} }
    cylinder{ <0, 0, 2>, <1, 4, 3>, ThinEdgeRad pigment{color CB} }
    cylinder{ <1, 1, 4>, <1, 3, 4>, ThickEdgeRad pigment{color CB} }


    // FACES

    #local Transp = .7;

    polygon{ 4, <0,0,0>, <0,2,0>, <4,3,1>, <4,1,1> pigment{color rgbt<1,1,0,Transp> } }
    polygon{ 4, <0,0,0>, <1,4,1>, <3,4,1>, <2,0,0> pigment{color rgbt<1,1,0,Transp> } }

    polygon{ 4, <0,0,0>, <2,0,0>, <3,1,4>, <1,1,4> pigment{color rgbt<1,0,1,Transp> } }
    polygon{ 4, <0,0,0>, <4,1,1>, <4,1,3>, <0,0,2> pigment{color rgbt<1,0,1,Transp> } }

    polygon{ 4, <0,0,0>, <0,2,0>, <1,3,4>, <1,1,4> pigment{color rgbt<0,1,1,Transp> } }
    polygon{ 4, <0,0,0>, <1,4,1>, <1,4,3>, <0,0,2> pigment{color rgbt<0,1,1,Transp> } }



    translate <-2,-2,-2>
    rotate 45*z
    rotate -35*x
    rotate 120*y

}


Please do not crop this image! The size matches File:Concertina cube Hasse diagram.png.

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Date/TimeThumbnailDimensionsUserComment
current17:11, 3 April 2018Thumbnail for version as of 17:11, 3 April 20183,070 × 4,255 (811 KB)Watchduck (talk | contribs)

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