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Show how three planes can intersect at zero, one, or infinitely-many points.

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https://1ca0622e.tbil.pages.dev

<caption>Intersection of three planes at one point</caption>
<interactive
xml:id="calcplot3d-intersection-planes-one"
calcplot3d="type=implicit;equation=x+y+z~6;cubes=16;visible=true;fixdomain=false;xmin=-10;xmax=10;ymin=-10;ymax=10;zmin=-10;zmax=10;alpha=-1;revorient=false;showvf=false;shownormals=false;numnormals=10;normalscale=0.5;normalwidth=1;hidemyedges=false;view=0;format=normal;constcol=rgb(255,0,0)&amp;type=implicit;equation=x+2z~7;cubes=16;visible=true;fixdomain=false;xmin=-10;xmax=10;ymin=-10;ymax=10;zmin=-10;zmax=10;alpha=-1;revorient=false;showvf=false;shownormals=false;numnormals=10;normalscale=0.5;normalwidth=1;hidemyedges=false;view=0;format=normal;constcol=rgb(255,0,0)&amp;type=implicit;equation=-2x+y+3z~9;cubes=16;visible=true;fixdomain=false;xmin=-10;xmax=10;ymin=-10;ymax=10;zmin=-10;zmax=10;alpha=-1;revorient=false;showvf=false;shownormals=false;numnormals=10;normalscale=0.5;normalwidth=1;hidemyedges=false;view=0;format=normal;constcol=rgb(255,0,0)&amp;type=vector;vector=&lt;1,2,3&gt;;visible=true;color=rgb(255,0,0);size=2;initialpt=(0,0,0);dashed=undefined&amp;type=window;showfunnot=false;hsrmode=0;nomidpts=true;anaglyph=-1;center=5.7317299798287955,-6.7245419132242255,-4.682713689264047,1;focus=0,0,0,1;up=-0.5376122051596625,-0.7078557560588468,0.4581630119048497,1;transparent=false;alpha=140;twoviews=false;unlinkviews=false;axisextension=0.7;shownormals=false;shownormalsatpts=false;xaxislabel=x;yaxislabel=y;zaxislabel=z;edgeson=true;faceson=true;showbox=true;showaxes=true;showticks=true;perspective=true;centerxpercent=0.5;centerypercent=0.5;rotationsteps=30;autospin=true;xygrid=false;yzgrid=false;xzgrid=false;gridsonbox=true;gridplanes=false;gridcolor=rgb(128,128,128);lastaddedsurfaceactive=true;disabletrace=false;activefun=-1;xmin=-10;xmax=10;ymin=-10;ymax=10;zmin=-10;zmax=10;xscale=1;yscale=1;zscale=1;zcmin=-4;zcmax=4;xscalefactor=1;yscalefactor=1;zscalefactor=1;tracemode=0;keep2d=false;zoom=0.2"
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This does not seem like very maintainable code. How is this intended to be edited in the future?

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How does this work for screenreader users? I'm also a little wary of adding yet another technology into the book as one thing I want to work on is ensuring a consistent look and feel for all images (and interactives if possible) as best we can.

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Follow-up from our synchronous conversation: We should use 3D sageplot instead of Calcplot3d, along with a detailed <description>.

@StevenClontz StevenClontz changed the title LE1 add calcplot3d visualizations LE1 add sageplot 3d visualizations Jan 14, 2026
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🚀 Preview available 🚀

https://8e3437f7.tbil.pages.dev

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🚀 Preview available 🚀

https://6574e720.tbil.pages.dev

@siwelwerd siwelwerd merged commit c7c6a8f into main Jan 14, 2026
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3 participants