File:Cube permutation 0 0 JF.png

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Summary

Description

It looks like J from the front, like F from the side,
and like an L from below.

3-dimensional compound of the letters J and F (a figure without internal symmetry)

This position illustrates the neutral element among the 48 permutations of the cube.

This file was created with Python. The source code can be found on GitHub.
Source code InfoField
This image was created with POV-Ray.
This file was uploaded with Commonist.

Source

Own work

Author

Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".

Other versions



For each of the 48 permutations there is a perspective and an orthogonal projection.

Quality image

This image has been assessed using the Quality image guidelines and is considered a Quality image.

العربية ∙ جازايرية ∙ беларуская ∙ беларуская (тарашкевіца) ∙ български ∙ বাংলা ∙ català ∙ čeština ∙ Cymraeg ∙ Deutsch ∙ Schweizer Hochdeutsch ∙ Zazaki ∙ Ελληνικά ∙ English ∙ Esperanto ∙ español ∙ eesti ∙ euskara ∙ فارسی ∙ suomi ∙ français ∙ galego ∙ עברית ∙ हिन्दी ∙ hrvatski ∙ magyar ∙ հայերեն ∙ Bahasa Indonesia ∙ italiano ∙ 日本語 ∙ Jawa ∙ ქართული ∙ 한국어 ∙ kurdî ∙ Lëtzebuergesch ∙ lietuvių ∙ македонски ∙ മലയാളം ∙ मराठी ∙ Bahasa Melayu ∙ Nederlands ∙ Norfuk / Pitkern ∙ polski ∙ português ∙ português do Brasil ∙ rumantsch ∙ română ∙ русский ∙ sicilianu ∙ slovenčina ∙ slovenščina ∙ shqip ∙ српски / srpski ∙ svenska ∙ தமிழ் ∙ తెలుగు ∙ ไทย ∙ Tagalog ∙ Türkçe ∙ toki pona ∙ українська ∙ vèneto ∙ Tiếng Việt ∙ 中文 ∙ 中文（简体） ∙ 中文（繁體） ∙ +/−

POV-Ray source

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

#include "colors.inc"
#include "math.inc"


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

#declare Camera_Position = <12, 12, -50>;
camera{
    location Camera_Position
    right    x*image_width/image_height
    angle    6.5
    look_at  <-0.05, -0.14, -0.07>
}


light_source{ <-400, 500, -300> color White*0.9 shadowless}

light_source{ Camera_Position  color rgb<0.9,0.9,1>*0.1 shadowless}
sky_sphere{ pigment{ White } }


///////////////////////////// JF solid

#declare LightColor = rgb<0.6, 0.55, 0.55>;
#declare DarkColor = rgb<0.005, 0.004, 0.004>;
#declare CubeColor = rgb<0.25, 0.25, 0.25>;


#declare BigCyl = cylinder{ <0, 0, 0>, <0.9, 0, 0>, 1.5 }
#declare SmallCyl = cylinder{ <-0.1, 0, 0>, <1, 0, 0>, 0.6 }
#declare Ring = difference{
    object{BigCyl}
    object{SmallCyl}
}
#declare CutBox = box{
    <-10,-10,-10> <10,10,10>
    translate 10*y
}
#declare HalfRing = difference{
    object{Ring}
    object{CutBox}
}
#declare CutBox = object{
    CutBox
    rotate -45*x
    pigment{color DarkColor}
}
#declare LetterJTail = difference{
    object{HalfRing}
    object{CutBox}
}


#declare LetterStem = box{
    <0, 0, 0.6>
    <0.9, 2.4, 1.5>
}


#declare LetterFBar1 = box{
    <0, 1.5, 0.6>
    <-3, 2.4, 1.5>
}
#declare CutBox = box{
    <-10,-10,-10> <10,10,10>
    translate <-12.6, 0, 0>
    pigment{color DarkColor}
}
#declare LetterFBar1 = difference{
    object{LetterFBar1}
    CutBox
}


#declare LetterFBar2 = object{
    LetterFBar1
    translate <0, -1.5, 0>
}
#declare CutBox = object{
    CutBox
    translate <1.3, 0, 0>
}
#declare LetterFBar2 = difference{
    object{LetterFBar2}
    CutBox
}


#declare LetterJFSolid = union{
    object{LetterJTail}
    object{LetterStem}
    object{LetterFBar1}
    object{LetterFBar2}
    pigment{color LightColor}
}


///////////////////////////// JF outline

#declare R = 0.03;

#declare PointFBar1a = <0.9, 2.4, 0.6>;
#declare PointFBar1b = PointFBar1a + 0.9*z;
#declare PointFBar1c = PointFBar1a - 3.5*x;
#declare PointFBar1d = PointFBar1b - 3.5*x;

#declare PointFBar2c = PointFBar1c - 0.9*y;
#declare PointFBar2d = PointFBar2c + 0.9*z;
#declare PointFBar2a = PointFBar2c + 2.6*x;
#declare PointFBar2b = PointFBar2a + 0.9*z;

#declare PointFBar3a = PointFBar2a - 0.6*y;
#declare PointFBar3b = PointFBar3a + 0.9*z;
#declare PointFBar3c = PointFBar3a - 1.3*x;
#declare PointFBar3d = PointFBar3b - 1.3*x;

#declare PointFBar4a = PointFBar3a - 0.9*y;
#declare PointFBar4b = PointFBar4a + 0.9*z;
#declare PointFBar4c = PointFBar4a - 1.3*x;
#declare PointFBar4d = PointFBar4b - 1.3*x;

#declare PointJFaceA = PointFBar4a + 0.9*x;
#declare PointJFaceB = PointFBar4b + 0.9*x;

#declare PointJEndA = <0.9, -sqrt(1.125), -sqrt(1.125)>;
#declare PointJEndB = <0.9, -sqrt(0.18), -sqrt(0.18)>;
#declare PointJEndC = PointJEndA - 0.9*x;
#declare PointJEndD = PointJEndB - 0.9*x;


#declare SmallTorus = object{
    torus {0.6, R}
    rotate 90*z
}
#declare BigTorus = object{
    torus {1.5, R}
    rotate 90*z
}
#declare Tori1 = union{
    object{SmallTorus}
    object{BigTorus}
}
#declare Tori2 = object{
    Tori1
    translate 0.9*x
}
#declare Tori = union{
    object{Tori1}
    object{Tori2}
}

#declare CutBox = box{
    <-10,-10,-10> <10,10,10>
    translate 10*y
}
#declare Tori = difference{
    object{Tori}
    object{CutBox}
}
#declare CutBox = object{
    CutBox
    rotate -45*x
}
#declare Tori = difference{
    object{Tori}
    object{CutBox}
}


#declare LetterJFOutlines = union{

    sphere{PointFBar1a, R}
    sphere{PointFBar1b, R}
    sphere{PointFBar1c, R}
    sphere{PointFBar1d, R}

    sphere{PointFBar2a, R}
    sphere{PointFBar2b, R}
    sphere{PointFBar2c, R}
    sphere{PointFBar2d, R}

    sphere{PointFBar3a, R}
    sphere{PointFBar3b, R}
    sphere{PointFBar3c, R}
    sphere{PointFBar3d, R}

    sphere{PointFBar4a, R}
    sphere{PointFBar4b, R}
    sphere{PointFBar4c, R}
    sphere{PointFBar4d, R}

    sphere{PointJEndA, R}
    sphere{PointJEndB, R}
    sphere{PointJEndC, R}
    sphere{PointJEndD, R}

    cylinder{PointFBar1a, PointFBar1b, R}
    cylinder{PointFBar1b, PointFBar1d, R}
    cylinder{PointFBar1d, PointFBar1c, R}
    cylinder{PointFBar1c, PointFBar1a, R}

    cylinder{PointFBar2a, PointFBar2b, R}
    cylinder{PointFBar2b, PointFBar2d, R}
    cylinder{PointFBar2d, PointFBar2c, R}
    cylinder{PointFBar2c, PointFBar2a, R}

    cylinder{PointFBar3a, PointFBar3b, R}
    cylinder{PointFBar3b, PointFBar3d, R}
    cylinder{PointFBar3d, PointFBar3c, R}
    cylinder{PointFBar3c, PointFBar3a, R}

    cylinder{PointFBar4a, PointFBar4b, R}
    cylinder{PointFBar4b, PointFBar4d, R}
    cylinder{PointFBar4d, PointFBar4c, R}
    cylinder{PointFBar4c, PointFBar4a, R}

    cylinder{PointFBar1c, PointFBar2c, R}
    cylinder{PointFBar1d, PointFBar2d, R}

    cylinder{PointFBar2a, PointFBar3a, R}
    cylinder{PointFBar2b, PointFBar3b, R}

    cylinder{PointFBar3c, PointFBar4c, R}
    cylinder{PointFBar3d, PointFBar4d, R}

    cylinder{PointFBar1a, PointJFaceA, R}
    cylinder{PointFBar1b, PointJFaceB, R}

    cylinder{PointJEndA, PointJEndB, R}
    cylinder{PointJEndB, PointJEndD, R}
    cylinder{PointJEndD, PointJEndC, R}
    cylinder{PointJEndC, PointJEndA, R}

    object{Tori}

    pigment{color DarkColor}

}


///////////////////////////// cube

#declare CubeCoordinates = array[8]{
    <-2.25,  2.25,  2.25>,
    < 2.25,  2.25,  2.25>,
    <-2.25, -2.25,  2.25>,
    < 2.25, -2.25,  2.25>,
    <-2.25,  2.25, -2.25>,
    < 2.25,  2.25, -2.25>,
    <-2.25, -2.25, -2.25>,
    < 2.25, -2.25, -2.25>
}
#declare CubeEdgesAbstractCoordinates = array[12][2]{
    {0,1}, {2,3}, {4,5}, {6,7}, {0,2}, {1,3}, {4,6}, {5,7}, {0,4}, {1,5}, {2,6}, {3,7}
}
#declare Cube = union{
    #for(i, 0, 7)
        sphere{CubeCoordinates[i], 0.01}
    #end
    #for(i, 0, 11)
        cylinder{
            CubeCoordinates[CubeEdgesAbstractCoordinates[i][0]],
            CubeCoordinates[CubeEdgesAbstractCoordinates[i][1]],
            0.01
        }
    #end
    pigment{color CubeColor}
}


///////////////////////////// show

#declare LetterJF = union{
    object{LetterJFSolid}
    object{LetterJFOutlines}
    translate <0.85, -0.45, -0.25>
    rotate 90*y
}

#declare CubeLetterCompound = union{
    object{LetterJF}
    object{Cube}
}

object{
    CubeLetterCompound
}

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:

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.

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.

File history

Click on a date/time to view the file as it appeared at that time.

	Date/Time	Thumbnail	Dimensions	User	Comment
current	22:14, 26 April 2017		4,000 × 4,000 (376 KB)	Watchduck

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PNG file comment	Render Date: 2017-04-25 23:00:25Z Platform: x86_64-pc-linux-gnu Compiler: g++ 5.2.1
File change date and time	23:00, 25 April 2017
Software used	POV-Ray 3.7.0.unofficial

File:Cube permutation 0 0 JF.png

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