Drawing dice with rounded corners simulation

Question

I use the following code from this post, to draw dice simulation.

\documentclass[12pt,a4paper]{article}
\usepackage{verbatim}
\usepackage{tikz}
\usetikzlibrary{calc,shapes}
\usepackage{tikz-3dplot}
\begin{document}
\tdplotsetmaincoords{70}{110}
\begin{tikzpicture}[tdplot_main_coords]
 \begin{scope}[canvas is xy plane at z=3]
  \path[draw=none, fill=brown!50!white] (-3,-3) rectangle (3,3);
  \path (0,0) [line cap=round, line join=round, line width=0.9cm, rounded corners=0.9cm, inner color=green!70!black, outer color=green!70!black, rotate=18+90,transform shape] circle (2.cm);
 \end{scope}
 \begin{scope}[canvas is xz plane at y=3]
  \path[draw=none, fill=brown!70!white] (-3,-3) rectangle (3,3);
  \path (0,0) [line cap=round, line join=round, line width=0.9cm, rounded corners=0.9cm, inner color=yellow, outer color=yellow, rotate=18,transform shape] circle (2.cm);
 \end{scope}
 \begin{scope}[canvas is yz plane at x=3]
  \path[draw=none, fill=brown!80!white] (-3,-3) rectangle (3,3);
  \path (0,0) [line cap=round, line join=round, line width=0.9cm, rounded corners=0.9cm, inner color=red, outer color=red, rotate=18,transform shape] circle (2.cm);
 \end{scope}
\end{tikzpicture}
\end{document}

How can I put this code in a style, to be repeated in different locations of the document, with different rotation angles.

Also how can I make this cube looks like a die, with controllable rounded corners.

Answer 1

I only made it, so that the angles work with the sides in the same order, but it could be made conditional dependent on the angle.

\documentclass[tikz, border=1cm]{standalone}
\usepackage{tikz-3dplot}
\begin{document}
\begin{tikzpicture}
\newcommand{\dice}[5]{
\tdplotsetmaincoords{#3}{#4}
\begin{scope}[shift={(#1,#2)}, tdplot_main_coords, rounded corners=#5, fill=brown!50!white]
\begin{scope}[canvas is xy plane at z=-1]
\filldraw (-1,-1) rectangle (1,1);
\end{scope}
\begin{scope}[canvas is xz plane at y=-1]
\filldraw (-1,-1) rectangle (1,1);
\end{scope}
\begin{scope}[canvas is yz plane at x=-1]
\filldraw (-1,-1) rectangle (1,1);
\end{scope}
\begin{scope}[canvas is xy plane at z=1]
\filldraw (-1,-1) rectangle (1,1);
\fill[green!70!black] circle[radius=2/3];
\end{scope}
\begin{scope}[canvas is xz plane at y=1]
\filldraw (-1,-1) rectangle (1,1);
\fill[yellow] circle[radius=2/3];
\end{scope}
\begin{scope}[canvas is yz plane at x=1]
\filldraw (-1,-1) rectangle (1,1);
\fill[red] circle[radius=2/3];
\end{scope}
\end{scope}
}
\dice{0}{0}{70}{110}{0.3cm};
\dice{2}{2}{70}{110}{0.5cm};
\dice{5}{3}{40}{130}{0.3cm};
\dice{5}{-1}{40}{160}{0.6cm};
\end{tikzpicture}
\end{document}

Answer 2

Here is an approach using the pst-solides3d package. In comparison to the approach using tikz-3dplot, it produces in a CAD-like manner a real solid, not just 6 single faces combined to a non-closed surface. Moreover it provides a light source and shading.

Note: the code must be compiled with XeLaTeX.

Chamfered edges

With viewpoint=x y z you can change the point of view of the output, trunccoeff=... controls the size of the chamfers.

\documentclass{standalone}
\usepackage[svgnames]{pstricks}
\usepackage{pst-solides3d}
\begin{document}
\psset{viewpoint=50 65 40 rtp2xyz, Decran=40, lightsrc=viewpoint, lightintensity=1.5}
\begin{pspicture}(-2.5,-2.75)(2.5,2.75)
\psset{unit=0.5}
\psset{solidmemory}
\psSolid[object=cube, a=8, action=draw**, trunccoeff=.22, trunc=all, name=dice, linecolor=black, fillcolor=Beige]
% define planes to draw circles on
\psSolid[object=plan, action=none, definition=solidface, args=dice 0, name=plane0]
\psSolid[object=plan, action=none, definition=solidface, args=dice 4, name=plane1]
\psSolid[object=plan, action=none, definition=solidface, args=dice 1, name=plane2]
% draw yellow circle
\psset{plan=plane0}
\psProjectionobject=point, action=none, name=yellowPoint
\psProjection[object=cercle, args=yellowPoint 2, linecolor=black, fillstyle=solid, fillcolor=Yellow]
% draw blue circle
\psset{plan=plane1}
\psProjectionobject=point, name=bluePoint, action=none
\psProjection[object=cercle, args=bluePoint 2, linecolor=black, fillstyle=solid, fillcolor=CornflowerBlue]
% draw red circle
\psset{plan=plane2}
\psProjectionobject=point, action=none, name=redPoint
\psProjection[object=cercle, args=redPoint 2, linecolor=black, fillstyle=solid, fillcolor=Red]
\end{pspicture}
\end{document}

Round edges

Here is an addition to my first answer, implementing rounded edges instead of chamfered ones. It should be noted that pst3d-solides is based on a grid-based approach, which is where the facets come from. Their number can be adjusted via the variable ngrid=x y. The compile time increases strongly with increasing grid numbers.

\documentclass{standalone}
\usepackage[svgnames]{pstricks}
\usepackage{pst-solides3d}
\psset{viewpoint=50 65 40 rtp2xyz, Decran=30, lightsrc=viewpoint, lightintensity=1.5}
\begin{document}
\begin{pspicture}(-2.0,-2.5)(2.5,2.5)
\psset{solidmemory, fillcolor=Beige, lightsrc=viewpoint}
\codejps{/coeff 0.75 def /rO 4 def /OH coeff rO mul neg def}
% create sphere object and cut with planes for each side of the dice
\psSolid[object=sphere, r=rO, ngrid=18 27, plansepare={[1 0 0 OH]}, name=sphere, action=none]
\psSolid[object=load, load=sphere1, plansepare={[-1 0 0 OH]}, action=none, name=sphere]
\psSolid[object=load, load=sphere1, plansepare={[0 1 0 OH]}, action=none, name=sphere]
\psSolid[object=load, load=sphere1, plansepare={[0 -1 0 OH]}, action=none, name=sphere]
\psSolid[object=load, load=sphere1, plansepare={[0 0 1 OH]}, action=none, name=sphere]
\psSolid[object=load, load=sphere1, plansepare={[0 0 -1 OH]}, action=none, name=sphere]
\psSolidobject=load, load=sphere1, name=dice
% define planes to draw circles on
\psSolid[object=plan, definition=equation, args={[1 0 0 OH] 90}, action=none, name=plane0]
\psSolid[object=plan, definition=equation, args={[0 0 1 OH] 90}, action=none, name=plane1]
\psSolid[object=plan, definition=equation, args={[0 1 0 OH] 90}, action=none, name=plane2]
% draw blue circle
\psset{plan=plane0}
\psProjectionobject=point, action=none, name=yellowPoint
\psProjection[object=cercle, args=yellowPoint 1.5, linecolor=black, fillstyle=solid, fillcolor=CornflowerBlue]
% draw yellow circle
\psset{plan=plane1}
\psProjectionobject=point, name=bluePoint, action=none
\psProjection[object=cercle, args=bluePoint 1.5, linecolor=black, fillstyle=solid, fillcolor=Yellow]
% draw red circle
\psset{plan=plane2}
\psProjectionobject=point, action=none, name=redPoint
\psProjection[object=cercle, args=redPoint 1.5, linecolor=black, fillstyle=solid, fillcolor=Red]
\composeSolid
\end{pspicture}
\end{document}