How to remove one of the corners of the cube?

Question

I already drew a cube 3x3x3 (Stefan Kottwitz drew), how to remove one of the corners of the cube?

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[on grid]
  \shade[yslant=-0.5,right color=gray!10, left color=black!50]
    (0,0) rectangle +(3,3);
  \draw[yslant=-0.5] (0,0) grid (3,3);
  \shade[yslant=0.5,right color=gray!70,left color=gray!10]
    (3,-3) rectangle +(3,3);
  \draw[yslant=0.5] (3,-3) grid (6,0);
  \shade[yslant=0.5,xslant=-1,bottom color=gray!10,
    top color=black!80] (6,3) rectangle +(-3,-3);
  \draw[yslant=0.5,xslant=-1] (3,0) grid (6,3);
\end{tikzpicture}
\end{document}

That's interesting. Did you just unaccept my answer below because someone else downvoted this question? — , Jan 30 '19 at 15:26
Since you have some responses below that seem to answer your question, please consider marking one of them as ‘Accepted’ by clicking on the tickmark below their vote count (see How do you accept an answer?). This shows which answer helped you most, and it assigns reputation points to the author of the answer (and to you!). It's part of this site's idea to identify good questions and answers through upvotes and acceptance of answers. — samcarter_is_at_topanswers.xyz, Apr 04 '19 at 18:52

score 4 · Answer 1 · 2018-04-18T15:21:44.320

Like this?

I just used one of the grids defined by Stefan, and drew a white filled rectangle (which I made a bit larger towards the outer borders such that the grid line also get swallowed). I admit that I chose the easiest corner.

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}[on grid]
  \shade[yslant=-0.5,right color=gray!10, left color=black!50]
    (0,0) rectangle +(3,3);
  \draw[yslant=-0.5] (0,0) grid (3,3);
  \shade[yslant=0.5,right color=gray!70,left color=gray!10]
    (3,-3) rectangle +(3,3);
  \draw[yslant=0.5] (3,-3) grid (6,0);
  \shade[yslant=0.5,xslant=-1,bottom color=gray!10,
    top color=black!80] (6,3) rectangle +(-3,-3);
  \draw[yslant=0.5,xslant=-1] (3,0) grid (6,3);
  \fill[yslant=0.5,xslant=-1,white] (5,2) rectangle ++(1.1,1.1);
\end{tikzpicture}
\end{document}

ADDENDUM: For fun: With pgfplots, using this answer. In order to remove one or more cubes, you just need to remove the corresponding lines from the data file. In the example I removed the last line, which corresponds to the front top corner.

\documentclass[tikz,border=3.14pt]{standalone}
\usepackage{pgfplots}
\usepackage{pgfplotstable}
\pgfplotsset{compat=1.15}
\usepackage{filecontents}
\begin{filecontents*}{cubes.dat}
x,y,z,data
0,0,0,1.0
0,0,1,1.6
0,0,2,13.0
0,1,0,1.7
0,1,1,11.0
0,1,2,18.6
0,2,0,4.9
0,2,1,4.3
0,2,2,1.2
1,0,0,1.0
1,0,1,1.6
1,0,2,13.0
1,1,0,1.7
1,1,1,11.0
1,1,2,18.6
1,2,0,4.9
1,2,1,4.3
1,2,2,1.2
2,0,0,1.0
2,0,1,1.6
2,0,2,13.0
2,1,0,1.7
2,1,1,11.0
2,1,2,18.6
2,2,0,4.9
2,2,1,4.3
\end{filecontents*} % I removed the last line 2,2,2,1.2
% And yes, I know that the data column is irrelevant here
\pgfplotsset{
    colormap={softgray}{gray(0cm)=(0.5); gray(1cm)=(0.6)}
}
\begin{document}

%
\begin{tikzpicture}
\begin{axis}[% from section 4.6.4 of the pgfplotsmanual
        view={120}{40},
        width=110pt,
        height=170pt,
        grid=major,
        axis lines=none,
        z buffer=sort,
        %point meta=explicit,
        colormap name={softgray},
        scatter/use mapped color={
            draw=mapped color,fill=mapped color!70},
        ]

\addplot3 [only marks,scatter,mark=cube*,mark size=24,opacity=1]
 table[col sep=comma,header=true,x expr={\thisrow{x}},
 y expr={\thisrow{y}},z expr={\thisrow{z}} ] {cubes.dat};
    \end{axis}
\end{tikzpicture}

\end{document}

And with opacity 0.8.

marmot - Thanks. I can get the same answer by seeing the corresponding empty front space? — Benedito Freire, Apr 18 '18 at 14:55
@BeneditoFreire No, unfortunately not. You would have to redraw the previously invisible parts. In a way, this is a "Potemkin" cube, i.e. it only shows the front. If you want full 3D, use asymptote, or limited 3D, use tikz-3dplot, pstricks, or draw the cube with pgfplots as a collection of smaller cubes — , Apr 18 '18 at 15:08
@BeneditoFreire Just for fun, I added the pgfplots version. (And no, I have not yet figured out how to do the 3D shading as in Stefan's plot.) — , Apr 18 '18 at 15:22
marmot _Show!! I'll try to just change the colors to the sharpest figure. Thanks! — Benedito Freire, Apr 18 '18 at 16:56

How to remove one of the corners of the cube?

1 Answers1