luadraw - Why is one of my points out of frame?

Question

I'm new to luadraw and I'm trying to recreate the diagram below:

Here is my code so far, and the result:

% !TEX TS-program = LuaLaTeX
\documentclass{standalone}
\usepackage[3d]{luadraw}
\begin{document}
\begin{luadraw}{name=wedge}
    local a, b, c = 8, 6, 4
    local xmax, ymax, zmax = a+1, b+1, c+1
    local g = graph3d:new{
      window3d = {0,xmax,0,ymax,0,zmax},
      viewdir = {30,60},
      size={10,10,0}
    }
    local xIntcpt, yIntcpt, zIntcpt = M(a,0,0), M(0,b,0), M(0,0,c)
    local P = M(4,0,0)
    local Q = interDD({P,vecJ},{xIntcpt,yIntcpt-xIntcpt})
    local R = interDD({P,vecK},{xIntcpt,zIntcpt-xIntcpt})
    g:Dscene3d(
      g:addPolyline({
        {Origin,xmax*vecI},
        {Origin,ymax*vecJ},
        {Origin,zmax*vecK},
      }),
      g:addPolyline(
        {xIntcpt,yIntcpt,zIntcpt},
        {close=true,color="cyan"}),
      g:addFacet(
        {P,Q,R},
        {color="cyan",opacity=0.5}
      ), 
      g:addPolyline(
            {P,Q,R},
                    {close=true,color="cyan",style="dashed"}
                ),
      g:addLabel(
        "\\(x\\)",P,{pos="NW",dist=0.1},
        a,xIntcpt,{pos="NW",dist=0.1},
        b,yIntcpt,{pos="N",dist=0.1},
        c,zIntcpt,{pos="NW",dist=0.1}
      )
    )
    g:Show()
\end{luadraw}
\end{document}

The issue, as you can see, is that the point (0,6,0) is out of frame. I tried increasing ymax, that seems to have no effect. I tried changing the width in the size option, but that only stretches the diagram horizontally. I have tried different viewdir options, but they all cut the diagram off at one edge.

I'm sure it's something basic that I'm missing, but I'm too much of a novice to notice. Any clues?

kabenyuk · Accepted Answer · 2026-03-22 09:11:03Z

If you want finer control over the composition, you can specify window manually instead of using adjust2d=true; for example, window = {-6,8,-6,7}, though the exact bounds may need some tuning.

\documentclass{standalone}
\usepackage[3d]{luadraw}
\begin{document}
\begin{luadraw}{name=wedge}
    local a, b, c = 8, 6, 4
    local xmax, ymax, zmax = a+1, b+1, c+1
    local g = graph3d:new{          
      window = {-6,8,-6,7},  
      viewdir = {30,60},
      size={10,10,0}
    }
    local xIntcpt, yIntcpt, zIntcpt = M(a,0,0), M(0,b,0), M(0,0,c)
    local P = M(4,0,0)
    local Q = interDD({P,vecJ},{xIntcpt,yIntcpt-xIntcpt})
    local R = interDD({P,vecK},{xIntcpt,zIntcpt-xIntcpt})
    g:Dscene3d(
      g:addPolyline({
        {Origin,xmax*vecI},
        {Origin,ymax*vecJ},
        {Origin,zmax*vecK},
      }),
      g:addPolyline(
        {xIntcpt,yIntcpt,zIntcpt},
        {close=true,color="cyan"}),
      g:addFacet(
        {P,Q,R},
        {color="cyan",opacity=0.5}
      ), 
      g:addPolyline(
            {P,Q,R},
                    {close=true,color="cyan",style="dashed"}
                ),
      g:addLabel(
        "\\(x\\)",P,{pos="NW",dist=0.1},
        a,xIntcpt,{pos="NW",dist=0.1},
        b,yIntcpt,{pos="N",dist=0.1},
        c,zIntcpt,{pos="NW",dist=0.1}
      )
    )
    g:Show()
\end{luadraw}
\end{document}

P.S. The window is specified as window = {xmin, xmax, ymin, ymax}.

nidarfp · Accepted Answer · 2026-03-22 08:03:47Z

The default 2D window isn't large enough here. Another unrelated point: you don't actually need g:Dscene3d() because there are no facet intersections to manage.

% Source - https://tex.stackexchange.com/q/761108
% Posted by Matthew Leingang
% Retrieved 2026-03-21, License - CC BY-SA 4.0

% !TEX TS-program = LuaLaTeX
\documentclass[5pt]{standalone}
\usepackage[3d]{luadraw}
\begin{document}
\begin{luadraw}{name=wedge}
    local a, b, c = 8, 6, 4
    local xmax, ymax, zmax = a+1, b+1, c+1
    local g = graph3d:new{
      window3d = {0,xmax,0,ymax,0,zmax},
      adjust2d = true,  -- adjust 2D window
      viewdir = {30,60},
      size={10,10,0},
      bbox = false
    }
    local xIntcpt, yIntcpt, zIntcpt = M(a,0,0), M(0,b,0), M(0,0,c)
    local P = M(4,0,0)
    local Q = interDD({P,vecJ},{xIntcpt,yIntcpt-xIntcpt})
    local R = interDD({P,vecK},{xIntcpt,zIntcpt-xIntcpt})
    g:Dpolyline3d({
        {Origin,xmax*vecI},
        {Origin,ymax*vecJ},
        {Origin,zmax*vecK},
      })
    g:Dpolyline3d({xIntcpt,yIntcpt,zIntcpt},true,"cyan")
    g:Dfacet(
        {P,Q,R},
        {color="cyan",opacity=0.5, edgecolor="cyan", edgestyle="dashed"}
      )
    g:Dlabel3d(
        "\\(x\\)",P,{pos="NW",dist=0.1},
        c,zIntcpt,{}, -- options unchanged
        a,xIntcpt,{}, -- options unchanged
        b,yIntcpt,{pos="N"} -- pos has changed but not dist
      )
    g:Show()
\end{luadraw}
\end{document}

EDIT When you compile the document with the option adjust2d=true, you will see the following message appear in the console:

it indicates an automatically calculated 2D window, this then allows you to choose a better 2D window with the option window={xmin,xmax,ymin,ymax} as Kabenyuk very rightly says in his answer.

I see. So if I don't specify window or adjust3d explicitly for a graph3d object, I just get the default value of {-5.5,-5.5,1,1}? — Matthew Leingang
– Matthew Leingang, Commented Mar 22 at 10:01
I chose to use g:Dscene3d() because the docs say “This method should therefore be reserved for very simple scenes.” I thought this was pretty simple. But now I understand that it's almost too simple because there is only one facet. — Matthew Leingang
– Matthew Leingang, Commented Mar 22 at 10:05
@MatthewLeingang Yes, if you don't specify a 2D window or the adjust2d=true option, the default 2D window will indeed be window={-5,5,-5,5} (the other two parameters are optional). Similarly, if you don't specify a 3D window, its default value will be window3d={-5,5,-5,5,-5,5}. When you can manually manage the display order of 3D elements, it's not necessary to use g:Dscene3d(). — nidarfp
– nidarfp, Commented Mar 22 at 10:26

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