Vfrdtyky

Taking inspiration from Playing around with a Rubik's Cube in TikZ, I want to generate diagrams of Rubik's cubes that look like this

Using a solution from Playing around with a Rubik's Cube in TikZ, I was able to generate this diagram

My question is what is the best way to modify the code so I can quickly generate the diagrams in the above graphic? Something like a command cube{....}? But even I am not sure how you can specify the colour info in this manner. Use a symbol for each colour? G - green, B - blue etc. So there are 27 square faces in this diagram, so does that mean you need 27 arguments? And if you leave it blank then it will display a gray tile? I would appreciate any advice the best way to code this in LaTeX. My ultimate goal is to make over 100 diagrams like the ones above. So if it was possible to make a really efficient code to generate the diagrams that would be amazing.

MWE

documentclass{article}

usepackage{tikz}

usepackage{tikz-3dplot}

usetikzlibrary{3d}

begin{document}

pgfmathsetmacroradius{0.1}

newcommand{frontcolor}{red}

newcommand{sidecolor}{blue}

            tdplotsetmaincoords{55}{135}

            begin{tikzpicture}

                clip (-3,-2.5) rectangle (3,2.5);

                begin{scope}[tdplot_main_coords]

                    filldraw [canvas is yz plane at x=1.5] (-1.5,-1.5) rectangle (1.5,1.5);

                    filldraw [canvas is xz plane at y=1.5] (-1.5,-1.5) rectangle (1.5,1.5);

                    filldraw [canvas is yx plane at z=1.5] (-1.5,-1.5) rectangle (1.5,1.5);

                    foreach X in {-1.5,-0.5,0.5}{

                        foreach Y in {-1.5,-0.5,0.5}{

                            draw [thick,canvas is yz plane at x=1.5,shift={(X,Y)},fill=sidecolor] (0.5,0) -- ({1-radius},0) arc (-90:0:radius) -- (1,{1-radius}) arc (0:90:radius) -- (radius,1) arc (90:180:radius) -- (0,radius) arc (180:270:radius) -- cycle;

                            draw [thick,canvas is xz plane at y=1.5,shift={(X,Y)},fill=frontcolor] (0.5,0) -- ({1-radius},0) arc (-90:0:radius) -- (1,{1-radius}) arc (0:90:radius) -- (radius,1) arc (90:180:radius) -- (0,radius) arc (180:270:radius) -- cycle;

                            draw [thick,canvas is yx plane at z=1.5,shift={(X,Y)},fill=yellow] (0.5,0) -- ({1-radius},0) arc (-90:0:radius) -- (1,{1-radius}) arc (0:90:radius) -- (radius,1) arc (90:180:radius) -- (0,radius) arc (180:270:radius) -- cycle;

                        }

                    }

                end{scope}

            end{tikzpicture}

end{document} 

That's a neat question, and here is a proposal for an answer. The colors are stored in an array called myarray, which determines the colors of the cells. The relation between entry (the index starts at 0) and cell is illustrated by this example

documentclass{article}

usepackage{tikz}

usepackage{tikz-3dplot}

usetikzlibrary{3d}

newififshowcellnumber

showcellnumbertrue

begin{document}

definecolor{R}{RGB}{202,65,55}

definecolor{G}{RGB}{151,216,56}

definecolor{B}{RGB}{51,72,237}

definecolor{W}{RGB}{255,255,255}

definecolor{X}{RGB}{65,65,65}



newcommand{TikZRubikFaceLeft}[9]{defmyarrayL{#1,#2,#3,#4,#5,#6,#7,#8,#9}}

newcommand{TikZRubikFaceRight}[9]{defmyarrayR{#1,#2,#3,#4,#5,#6,#7,#8,#9}}

newcommand{TikZRubikFaceTop}[9]{defmyarrayT{#1,#2,#3,#4,#5,#6,#7,#8,#9}}

newcommand{BuildArray}{foreach X [count=Y] in myarrayL%

{ifnumY=1%

xdefmyarray{"X"}%

else%

xdefmyarray{myarray,"X"}%

fi}%

foreach X in myarrayR%

{xdefmyarray{myarray,"X"}}%

foreach X in myarrayT%

{xdefmyarray{myarray,"X"}}%

xdefmyarray{{myarray}}%

}

TikZRubikFaceLeft

        {X}{X}{X}

        {X}{X}{X}

        {X}{X}{G}

TikZRubikFaceRight

        {W}{X}{X}

        {R}{G}{G}

        {X}{G}{G}

TikZRubikFaceTop

        {X}{X}{R}

        {R}{R}{G}

        {R}{R}{X}

BuildArray

%defmyarray{{"X","X","B","X","G","X","R","R","X","X","X","X","G","X","B","B","X","X","G","B","R","X","R","B","X","X","X"}}

pgfmathsetmacroradius{0.1}

tdplotsetmaincoords{55}{135}

begin{tikzpicture}

 clip (-3,-2.5) rectangle (3,2.5);

 begin{scope}[tdplot_main_coords]

  filldraw [canvas is yz plane at x=1.5] (-1.5,-1.5) rectangle (1.5,1.5);

  filldraw [canvas is xz plane at y=1.5] (-1.5,-1.5) rectangle (1.5,1.5);

  filldraw [canvas is yx plane at z=1.5] (-1.5,-1.5) rectangle (1.5,1.5);

  foreach X [count=XX starting from 0] in {-1.5,-0.5,0.5}{

   foreach Y [count=YY starting from 0] in {-1.5,-0.5,0.5}{

   pgfmathtruncatemacro{Z}{XX+3*(2-YY)}

   pgfmathsetmacro{mycolor}{myarray[Z]}

    draw [thick,canvas is yz plane at x=1.5,shift={(X,Y)},fill=mycolor] (0.5,0) -- ({1-radius},0) arc (-90:0:radius) -- (1,{1-radius}) arc (0:90:radius) -- (radius,1) arc (90:180:radius) -- (0,radius) arc (180:270:radius) -- cycle;

    ifshowcellnumber

     node[canvas is yz plane at x=1.5,shift={(X+0.5,Y+0.5)}] {Z};

    fi 

    pgfmathtruncatemacro{Z}{2-XX+3*(2-YY)+9}

    pgfmathsetmacro{mycolor}{myarray[Z]}

    draw [thick,canvas is xz plane at y=1.5,shift={(X,Y)},fill=mycolor] (0.5,0) -- ({1-radius},0) arc (-90:0:radius) -- (1,{1-radius}) arc (0:90:radius) -- (radius,1) arc (90:180:radius) -- (0,radius) arc (180:270:radius) -- cycle;

    ifshowcellnumber

     node[canvas is xz plane at y=1.5,shift={(X+0.5,Y+0.5)},xscale=-1] {Z};

    fi 

    pgfmathtruncatemacro{Z}{2-YY+3*XX+18}

    pgfmathsetmacro{mycolor}{myarray[Z]}

    draw [thick,canvas is yx plane at z=1.5,shift={(X,Y)},fill=mycolor] (0.5,0) -- ({1-radius},0) arc (-90:0:radius) -- (1,{1-radius}) arc (0:90:radius) -- (radius,1) arc (90:180:radius) -- (0,radius) arc (180:270:radius) -- cycle;

    ifshowcellnumber

     node[canvas is yx plane at z=1.5,shift={(X+0.5,Y+0.5)},xscale=-1,rotate=-90] {Z};

    fi 

    }

   }

 end{scope}

end{tikzpicture}



TikZRubikFaceLeft

    {X}{X}{X}

    {X}{X}{X}

    {X}{G}{X}

TikZRubikFaceRight

    {X}{X}{X}

    {X}{B}{X}

    {W}{B}{X}

TikZRubikFaceTop

    {X}{R}{X}

    {X}{W}{X}

    {X}{W}{G}

BuildArray

showcellnumberfalse

begin{tikzpicture}

 clip (-3,-2.5) rectangle (3,2.5);

 begin{scope}[tdplot_main_coords]

  filldraw [canvas is yz plane at x=1.5] (-1.5,-1.5) rectangle (1.5,1.5);

  filldraw [canvas is xz plane at y=1.5] (-1.5,-1.5) rectangle (1.5,1.5);

  filldraw [canvas is yx plane at z=1.5] (-1.5,-1.5) rectangle (1.5,1.5);

  foreach X [count=XX starting from 0] in {-1.5,-0.5,0.5}{

   foreach Y [count=YY starting from 0] in {-1.5,-0.5,0.5}{

   pgfmathtruncatemacro{Z}{XX+3*(2-YY)}

   pgfmathsetmacro{mycolor}{myarray[Z]}

    draw [thick,canvas is yz plane at x=1.5,shift={(X,Y)},fill=mycolor] (0.5,0) -- ({1-radius},0) arc (-90:0:radius) -- (1,{1-radius}) arc (0:90:radius) -- (radius,1) arc (90:180:radius) -- (0,radius) arc (180:270:radius) -- cycle;

    ifshowcellnumber

     node[canvas is yz plane at x=1.5,shift={(X+0.5,Y+0.5)}] {Z};

    fi 

    pgfmathtruncatemacro{Z}{2-XX+3*(2-YY)+9}

    pgfmathsetmacro{mycolor}{myarray[Z]}

    draw [thick,canvas is xz plane at y=1.5,shift={(X,Y)},fill=mycolor] (0.5,0) -- ({1-radius},0) arc (-90:0:radius) -- (1,{1-radius}) arc (0:90:radius) -- (radius,1) arc (90:180:radius) -- (0,radius) arc (180:270:radius) -- cycle;

    ifshowcellnumber

     node[canvas is xz plane at y=1.5,shift={(X+0.5,Y+0.5)},xscale=-1] {Z};

    fi 

    pgfmathtruncatemacro{Z}{2-YY+3*XX+18}

    pgfmathsetmacro{mycolor}{myarray[Z]}

    draw [thick,canvas is yx plane at z=1.5,shift={(X,Y)},fill=mycolor] (0.5,0) -- ({1-radius},0) arc (-90:0:radius) -- (1,{1-radius}) arc (0:90:radius) -- (radius,1) arc (90:180:radius) -- (0,radius) arc (180:270:radius) -- cycle;

    ifshowcellnumber

     node[canvas is yx plane at z=1.5,shift={(X+0.5,Y+0.5)},xscale=-1,rotate=-90] {Z};

    fi 

    }

   }

 end{scope}

end{tikzpicture}   

end{document} 

As you can see, if you replace showcellnumbertrue by showcellnumberfalse, the numbers are suppressed.

EDITs: Illustrated the relation between array index and cell (which is almost redundant now) and adjusted the color (big thanks to @manooooh!). I also used now the conventions of the rubik package, which I did not really know before seeing Peter Grill's nice answer. The conventions are still slightly different since I refer to the faces as left, right and top. This is because this thingy can be rotated in some range, but left will always be left in that range. I also added some %, which were added in first in this answer.

ADDENDUM: Encouraged by @LoopSpace's comment:

documentclass[tikz,border=3.14mm]{standalone}

usepackage{tikz-3dplot}

usetikzlibrary{3d}

newififshowcellnumber

showcellnumberfalse

begin{document}

definecolor{R}{RGB}{202,65,55}

definecolor{G}{RGB}{151,216,56}

definecolor{B}{RGB}{51,72,237}

%definecolor{W}{RGB}{255,255,255}

definecolor{W}{RGB}{65,65,65}



defmyarray{{"W","W","B","W","G","W","R","R","W","W","W","W","G","W","B","B","W","W","G","B","R","W","R","B","W","W","W"}}

pgfmathsetmacroradius{0.1}

newcommand{frontcolor}{red}

newcommand{sidecolor}{blue}

foreach X in {95,100,...,175}

{            tdplotsetmaincoords{55}{X}

            begin{tikzpicture}

                clip (-3,-2.5) rectangle (3,2.5);

                begin{scope}[tdplot_main_coords]

                    filldraw [canvas is yz plane at x=1.5] (-1.5,-1.5) rectangle (1.5,1.5);

                    filldraw [canvas is xz plane at y=1.5] (-1.5,-1.5) rectangle (1.5,1.5);

                    filldraw [canvas is yx plane at z=1.5] (-1.5,-1.5) rectangle (1.5,1.5);

                    foreach X [count=XX starting from 0] in {-1.5,-0.5,0.5}{

                        foreach Y [count=YY starting from 0] in {-1.5,-0.5,0.5}{

                        pgfmathtruncatemacro{Z}{XX+3*(2-YY)}

                        pgfmathsetmacro{mycolor}{myarray[Z]}

                            draw [thick,canvas is yz plane at

x=1.5,shift={(X,Y)},fill=mycolor] (0.5,0) -- ({1-radius},0) arc

(-90:0:radius) -- (1,{1-radius}) arc (0:90:radius) -- (radius,1) arc

(90:180:radius) -- (0,radius) arc (180:270:radius) -- cycle;

        ifshowcellnumber

            node[canvas is yz plane at x=1.5,shift={(X+0.5,Y+0.5)}] {Z};

        fi 

                        pgfmathtruncatemacro{Z}{2-XX+3*(2-YY)+9}

                        pgfmathsetmacro{mycolor}{myarray[Z]}

                            draw [thick,canvas is xz plane at

y=1.5,shift={(X,Y)},fill=mycolor] (0.5,0) -- ({1-radius},0) arc

(-90:0:radius) -- (1,{1-radius}) arc (0:90:radius) -- (radius,1) arc

(90:180:radius) -- (0,radius) arc (180:270:radius) -- cycle;

        ifshowcellnumber

            node[canvas is xz plane at y=1.5,shift={(X+0.5,Y+0.5)},xscale=-1] {Z};

        fi 

                        pgfmathtruncatemacro{Z}{2-YY+3*XX+18}

                        pgfmathsetmacro{mycolor}{myarray[Z]}

                            draw [thick,canvas is yx plane at

z=1.5,shift={(X,Y)},fill=mycolor] (0.5,0) -- ({1-radius},0) arc

(-90:0:radius) -- (1,{1-radius}) arc (0:90:radius) -- (radius,1) arc

(90:180:radius) -- (0,radius) arc (180:270:radius) -- cycle;

        ifshowcellnumber

            node[canvas is yx plane at z=1.5,shift={(X+0.5,Y+0.5)},xscale=-1,rotate=-90] {Z};

        fi 

                        }

                    }

                end{scope}

end{tikzpicture}}

end{document} 

There is also a rubik package designed specifically for this. The MWE below generates the four cube positions shown in the question.

Code:

documentclass{article}

usepackage{tikz}%% load tikz BEFORE rubikcube

usepackage{rubikcube}

%usepackage{rubikrotation,rubikpatterns,rubiktwocube}% Related packages



begin{document}

noindent

begin{minipage}{0.4linewidth}

    RubikFaceUp

        {X}{X}{X}

        {X}{X}{X}

        {X}{X}{G}

    RubikFaceRight

        {W}{X}{X}

        {R}{G}{G}

        {X}{G}{G}

    RubikFaceFront

        {X}{X}{R}

        {R}{R}{G}

        {R}{R}{X}

   ShowCube{7cm}{0.7}{DrawRubikCube}

end{minipage}

begin{minipage}{0.4linewidth}

    RubikFaceUp

        {X}{X}{X}

        {X}{X}{X}

        {X}{G}{X}

    RubikFaceRight

        {X}{X}{X}

        {X}{B}{X}

        {W}{B}{X}

    RubikFaceFront

        {X}{R}{X}

        {X}{O}{X}

        {X}{O}{G}

   ShowCube{7cm}{0.7}{DrawRubikCube}

end{minipage}



parmedskip

noindent

begin{minipage}{0.4linewidth}

    RubikFaceRight

        {X}{X}{X}

        {G}{B}{X}

        {G}{B}{X}

    RubikFaceFront

        {X}{X}{X}

        {X}{O}{R}

        {X}{O}{R}

   ShowCube{7cm}{0.7}{DrawRubikCube}

end{minipage}

begin{minipage}{0.4linewidth}

    RubikFaceUp

        {X}{X}{X}

        {G}{X}{X}

        {X}{X}{G}

    RubikFaceRight

        {W}{X}{X}

        {X}{G}{G}

        {X}{G}{G}

    RubikFaceFront

        {X}{X}{X}

        {R}{R}{X}

        {R}{R}{X}

   ShowCube{7cm}{0.7}{DrawRubikCubeRU}

end{minipage}   

end{document}