How to draw the following diagram (a wedge of cheese) using pgfplots or tikz?
Clash Royale CLAN TAG#URR8PPP
up vote
10
down vote
favorite
3
I would like to draw the diagram below using either pgfplots or tikz.
I am able to draw a cylinder, using the pgfplots manual, but I don't know how to draw a fraction of a cylinder.
tikz-pgf 3d
edited Aug 18 at 7:24
BambOo
2,193323
asked Aug 17 at 23:31
Anthony Macks
967
add a comment |Â
up vote
10
down vote
favorite
3
I would like to draw the diagram below using either pgfplots or tikz.
I am able to draw a cylinder, using the pgfplots manual, but I don't know how to draw a fraction of a cylinder.
tikz-pgf 3d
edited Aug 18 at 7:24
BambOo
2,193323
asked Aug 17 at 23:31
Anthony Macks
967
Easiest would be to use tikz3d instead.
– John Kormylo
Aug 17 at 23:55
This is not a plot, so you should not use PGFPlots, but pure TikZ. There are many sources on how to draw an arc, a line and add text(nodes). See e.g. the introduction in the TikZ manual. Anyway, for a question here you need to show what you have, and describe what is causing you problems.
– hpekristiansen
Aug 17 at 23:58
I think you found how to draw a cylinder in the TikZ manual and not in the PGFPlots manual, right? And as another side note, if you really want to use this as a diagram: Have a look at section 7.6 p. 94f in the TikZ/pgf manual (v3.0.1a) on why you shouldn't use 3D pie charts.
– Stefan Pinnow
Aug 18 at 5:01
add a comment |Â
up vote
10
down vote
favorite
3
up vote
10
down vote
favorite
3
3
I would like to draw the diagram below using either pgfplots or tikz.
I am able to draw a cylinder, using the pgfplots manual, but I don't know how to draw a fraction of a cylinder.
tikz-pgf 3d
edited Aug 18 at 7:24
BambOo
2,193323
asked Aug 17 at 23:31
Anthony Macks
967
I would like to draw the diagram below using either pgfplots or tikz.
I am able to draw a cylinder, using the pgfplots manual, but I don't know how to draw a fraction of a cylinder.
tikz-pgf 3d
edited Aug 18 at 7:24
BambOo
2,193323
asked Aug 17 at 23:31
Anthony Macks
967
edited Aug 18 at 7:24
BambOo
2,193323
edited Aug 18 at 7:24
BambOo
2,193323
edited Aug 18 at 7:24
BambOo
2,193323
2,193323
asked Aug 17 at 23:31
Anthony Macks
967
asked Aug 17 at 23:31
Anthony Macks
967
asked Aug 17 at 23:31
Anthony Macks
967
967
Easiest would be to use tikz3d instead.
– John Kormylo
Aug 17 at 23:55
This is not a plot, so you should not use PGFPlots, but pure TikZ. There are many sources on how to draw an arc, a line and add text(nodes). See e.g. the introduction in the TikZ manual. Anyway, for a question here you need to show what you have, and describe what is causing you problems.
– hpekristiansen
Aug 17 at 23:58
I think you found how to draw a cylinder in the TikZ manual and not in the PGFPlots manual, right? And as another side note, if you really want to use this as a diagram: Have a look at section 7.6 p. 94f in the TikZ/pgf manual (v3.0.1a) on why you shouldn't use 3D pie charts.
– Stefan Pinnow
Aug 18 at 5:01
add a comment |Â
Easiest would be to use tikz3d instead.
– John Kormylo
Aug 17 at 23:55
This is not a plot, so you should not use PGFPlots, but pure TikZ. There are many sources on how to draw an arc, a line and add text(nodes). See e.g. the introduction in the TikZ manual. Anyway, for a question here you need to show what you have, and describe what is causing you problems.
– hpekristiansen
Aug 17 at 23:58
I think you found how to draw a cylinder in the TikZ manual and not in the PGFPlots manual, right? And as another side note, if you really want to use this as a diagram: Have a look at section 7.6 p. 94f in the TikZ/pgf manual (v3.0.1a) on why you shouldn't use 3D pie charts.
– Stefan Pinnow
Aug 18 at 5:01
Easiest would be to use tikz3d instead.
– John Kormylo
Aug 17 at 23:55
Easiest would be to use tikz3d instead.
– John Kormylo
Aug 17 at 23:55
This is not a plot, so you should not use PGFPlots, but pure TikZ. There are many sources on how to draw an arc, a line and add text(nodes). See e.g. the introduction in the TikZ manual. Anyway, for a question here you need to show what you have, and describe what is causing you problems.
– hpekristiansen
Aug 17 at 23:58
This is not a plot, so you should not use PGFPlots, but pure TikZ. There are many sources on how to draw an arc, a line and add text(nodes). See e.g. the introduction in the TikZ manual. Anyway, for a question here you need to show what you have, and describe what is causing you problems.
– hpekristiansen
Aug 17 at 23:58
I think you found how to draw a cylinder in the TikZ manual and not in the PGFPlots manual, right? And as another side note, if you really want to use this as a diagram: Have a look at section 7.6 p. 94f in the TikZ/pgf manual (v3.0.1a) on why you shouldn't use 3D pie charts.
– Stefan Pinnow
Aug 18 at 5:01
I think you found how to draw a cylinder in the TikZ manual and not in the PGFPlots manual, right? And as another side note, if you really want to use this as a diagram: Have a look at section 7.6 p. 94f in the TikZ/pgf manual (v3.0.1a) on why you shouldn't use 3D pie charts.
– Stefan Pinnow
Aug 18 at 5:01
add a comment |Â
1 Answer
1
active
oldest
votes
up vote
21
down vote
accepted
TikZ and 3D means in my experience always a bit of improvisation. One can change the view angle with some restrictions. If you want to lift these restrictions, you may have to change the drawing order and/or add or subtract certain contours. UPDATE: Fixed a bug pointed out by Friendly Ghost: the projection of the arrow on top of the cheese was incorrect. This was due to a bug in the 3d library. Some time ago I knew about it but forgot it.
documentclass[tikz,border=3.14mm]standalone
usetikzlibrary3d
usepackagetikz-3dplot
makeatletter % https://tex.stackexchange.com/a/48776/121799
tikzoptioncanvas is xy plane at z%
deftikz@plane@originpgfpointxyz00#1%
deftikz@plane@xpgfpointxyz10#1%
deftikz@plane@ypgfpointxyz01#1%
tikz@canvas@is@plane
makeatother
begindocument
foreach X in 0,5,...,355
tdplotsetmaincoords120+20*sin(X)-135+45*cos(2*X)
begintikzpicture
path[use as bounding box] (-6,-3) rectangle (6,5);
beginscope[tdplot_main_coords]
draw plot[variable=x,domain=tdplotmainphi+180:0,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- (0,0,0) -- (0,-4,0)
plot[variable=x,domain=-90:tdplotmainphi,samples=30,smooth]
(4*cos(x),4*sin(x),0);
draw plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),2);
draw (0,-4,0) -- (0,-4,2) (4,0,0) -- (4,0,2) (0,0,0) -- (0,0,2)
(0,-4,2) -- (0,0,2) -- (4,0,2)
(4*cos(tdplotmainphi+180),4*sin(tdplotmainphi+180),0) --
(4*cos(tdplotmainphi+180),4*sin(tdplotmainphi+180),2)
(4*cos(tdplotmainphi),4*sin(tdplotmainphi),0) --
(4*cos(tdplotmainphi),4*sin(tdplotmainphi),2);
path (5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),0) coordinate(B)
(5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),2) coordinate(T)
(0,0,3) coordinate (A);
beginscope[x=(1,0,0),y=(0,1,0),z=(0,0,1)]
beginscope[canvas is xy plane at z=2,transform shape]
fill (0,0) -- (0:0.1) arc(0:270:.1) -- cycle;
path (-0.3,0) -- (-0.3,-4) node[sloped,yscale=-1,midway] 4cm;
node[xscale=-1,rotate=-45] at (-0.6,0.6) $270^circ$;
pgflowlevelsynccm
draw[latex-latex] (0:0.4) arc(00:270:.4);
endscope
endscope
endscope
draw[latex-latex] (T) -- (B) node[midway,left] 2cm;
endtikzpicture
enddocument
ADDENDUM: A version for J Leon V. ;-)
documentclass[tikz,border=3.14mm]standalone
usetikzlibrary3d
usepackagetikz-3dplot
makeatletter % https://tex.stackexchange.com/a/48776/121799
tikzoptioncanvas is xy plane at z%
deftikz@plane@originpgfpointxyz00#1%
deftikz@plane@xpgfpointxyz10#1%
deftikz@plane@ypgfpointxyz01#1%
tikz@canvas@is@plane
makeatother
begindocument
foreach X in 0,5,...,355
tdplotsetmaincoords120+20*sin(X)-135+45*cos(2*X)
begintikzpicture
path[use as bounding box] (-6,-3) rectangle (6,5);
beginscope[tdplot_main_coords]
% face on the left
draw[fill=yellow!30!orange]
plot[variable=x,domain=tdplotmainphi+180:0,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- ++(0,0,2) --
plot[variable=x,domain=0:tdplotmainphi+180,samples=30,smooth]
(4*cos(x),4*sin(x),2) --cycle;
% face on the right
draw[fill=yellow!30!orange] plot[variable=x,domain=-90:tdplotmainphi,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- ++(0,0,2) --
plot[variable=x,domain=tdplotmainphi:-90,samples=30,smooth]
(4*cos(x),4*sin(x),2) -- cycle;
draw[fill=yellow!30!orange] plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),2) -- (0,-4,2) -- (0,0,2) -- (4,0,2) ;
beginscope[canvas is xz plane at y=0,transform shape]
filldraw[fill=yellow!80!orange] (4,2) -- (4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in 0.4/0.6/0.3,
0.5/1.3/0.2,
1.5/0.5/0.4,
1.5/0.5/0.4,
2.1/1.5/0.3,
2.5/0.8/0.2,
3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
beginscope[canvas is yz plane at x=0,transform shape]
filldraw[fill=yellow!80!orange] (-4,2) -- (-4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in -0.4/0.6/0.3,
-0.5/1.3/0.2,
-1.5/0.5/0.4,
-1.5/0.5/0.4,
-2.1/1.5/0.3,
-2.5/0.8/0.2,
-3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
path (5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),0) coordinate(B)
(5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),2) coordinate(T)
(0,0,3) coordinate (A);
beginscope[x=(1,0,0),y=(0,1,0),z=(0,0,1)]
beginscope[canvas is xy plane at z=2,transform shape]
fill (0,0) -- (0:0.1) arc(0:270:.1) -- cycle;
path (-0.3,0) -- (-0.3,-4) node[sloped,yscale=-1,midway] 4cm;
node[xscale=-1,rotate=-45] at (-0.6,0.6) $270^circ$;
pgflowlevelsynccm
draw[latex-latex] (0:0.4) arc(00:270:.4);
endscope
endscope
endscope
draw[latex-latex] (T) -- (B) node[midway,left] 2cm;
endtikzpicture
enddocument
2nd ADDENDUM: A version that works for all angles. This exploits the fact that the missing piece has an arc of 90 degrees. Therefore one can cook it down to 8 orderings of the elements.
documentclass[tikz,border=3.14mm]standalone
usetikzlibrary3d
usepackagetikz-3dplot
makeatletter % https://tex.stackexchange.com/a/48776/121799
tikzoptioncanvas is xy plane at z%
deftikz@plane@originpgfpointxyz00#1%
deftikz@plane@xpgfpointxyz10#1%
deftikz@plane@ypgfpointxyz01#1%
tikz@canvas@is@plane
makeatother
newcommandDrawVerticalPart[3]%
draw[fill=yellow!30!orange,#1]
plot[variable=x,domain=#2:#3,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- ++(0,0,2) --
plot[variable=x,domain=#3:#2,samples=30,smooth]
(4*cos(x),4*sin(x),2) --cycle;
newcommandCheesePiece[1]ifcase#1
or% 1: xz face
beginscope[canvas is xz plane at y=0,transform shape]
filldraw[fill=yellow!80!orange] (4,2) -- (4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in 0.4/0.6/0.3,
0.5/1.3/0.2,
1.5/0.5/0.4,
1.5/0.5/0.4,
2.1/1.5/0.3,
2.5/0.8/0.2,
3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
or% 2: yz face
beginscope[canvas is yz plane at x=0,transform shape]
filldraw[fill=yellow!80!orange] (-4,2) -- (-4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in -0.4/0.6/0.3,
-0.5/1.3/0.2,
-1.5/0.5/0.4,
-1.5/0.5/0.4,
-2.1/1.5/0.3,
-2.5/0.8/0.2,
-3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
or% 3: top
draw[fill=yellow!30!orange] plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),2) -- (0,-4,2) -- (0,0,2) -- (4,0,2);
or% 4: bottom
draw[fill=yellow!30!orange] plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),0) -- (0,-4,0) -- (0,0,0) -- (4,0,0);
fi
begindocument
foreach X in 0,5,...,355%45,135,225,315
%tdplotsetmaincoords120+20*sin(X)-135+45*cos(2*X)
tdplotsetmaincoords90+30*sin(X)X
begintikzpicture
path[use as bounding box] (-6,-3) rectangle (6,5);
pgfmathtruncatemacroxtestsign(cos(tdplotmainphi+90))
pgfmathtruncatemacroytestsign(-cos(tdplotmainphi))
pgfmathtruncatemacroztestsign(cos(tdplotmaintheta))
%node[anchor=north west] at (-6,5) X,xtest,ytest,ztest;
beginscope[tdplot_main_coords]
ifnumxtest=1
CheesePiece2
ifnumytest=1
CheesePiece1
DrawVerticalPart0tdplotmainphi-180
DrawVerticalParttdplotmainphi270
else
DrawVerticalPart0tdplotmainphi-180
fi
else
ifnumytest=1
CheesePiece1
DrawVerticalParttdplotmainphi270
else
DrawVerticalParttdplotmainphitdplotmainphi+180
fi
fi
ifnumztest=1
CheesePiece4
else
CheesePiece3
fi
endscope
endtikzpicture
enddocument
answered Aug 18 at 0:17
marmot
53.4k456116
3
Off-topic: People, ducks, marmots and gifs, gifs, GIIIIIIFS. :)
– manooooh
Aug 18 at 2:26
2
At some points in space and time there are conditions in which the arrow heads look a bit weird.
– Friendly Ghost
Aug 18 at 2:29
2
@FriendlyGhost Very good observation! Thanks! I fixed it, I believe. (One should always look at the output before uploading... ;-)
– marmot
Aug 18 at 2:54
2
@manooooh Added.
– marmot
Aug 18 at 4:53
2
+1 Excellent, as always exceeding expectations, but what about the internal lines of the cut ...
– J Leon V.
Aug 18 at 6:17
 |Â
show 4 more comments
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
21
down vote
accepted
TikZ and 3D means in my experience always a bit of improvisation. One can change the view angle with some restrictions. If you want to lift these restrictions, you may have to change the drawing order and/or add or subtract certain contours. UPDATE: Fixed a bug pointed out by Friendly Ghost: the projection of the arrow on top of the cheese was incorrect. This was due to a bug in the 3d library. Some time ago I knew about it but forgot it.
documentclass[tikz,border=3.14mm]standalone
usetikzlibrary3d
usepackagetikz-3dplot
makeatletter % https://tex.stackexchange.com/a/48776/121799
tikzoptioncanvas is xy plane at z%
deftikz@plane@originpgfpointxyz00#1%
deftikz@plane@xpgfpointxyz10#1%
deftikz@plane@ypgfpointxyz01#1%
tikz@canvas@is@plane
makeatother
begindocument
foreach X in 0,5,...,355
tdplotsetmaincoords120+20*sin(X)-135+45*cos(2*X)
begintikzpicture
path[use as bounding box] (-6,-3) rectangle (6,5);
beginscope[tdplot_main_coords]
draw plot[variable=x,domain=tdplotmainphi+180:0,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- (0,0,0) -- (0,-4,0)
plot[variable=x,domain=-90:tdplotmainphi,samples=30,smooth]
(4*cos(x),4*sin(x),0);
draw plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),2);
draw (0,-4,0) -- (0,-4,2) (4,0,0) -- (4,0,2) (0,0,0) -- (0,0,2)
(0,-4,2) -- (0,0,2) -- (4,0,2)
(4*cos(tdplotmainphi+180),4*sin(tdplotmainphi+180),0) --
(4*cos(tdplotmainphi+180),4*sin(tdplotmainphi+180),2)
(4*cos(tdplotmainphi),4*sin(tdplotmainphi),0) --
(4*cos(tdplotmainphi),4*sin(tdplotmainphi),2);
path (5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),0) coordinate(B)
(5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),2) coordinate(T)
(0,0,3) coordinate (A);
beginscope[x=(1,0,0),y=(0,1,0),z=(0,0,1)]
beginscope[canvas is xy plane at z=2,transform shape]
fill (0,0) -- (0:0.1) arc(0:270:.1) -- cycle;
path (-0.3,0) -- (-0.3,-4) node[sloped,yscale=-1,midway] 4cm;
node[xscale=-1,rotate=-45] at (-0.6,0.6) $270^circ$;
pgflowlevelsynccm
draw[latex-latex] (0:0.4) arc(00:270:.4);
endscope
endscope
endscope
draw[latex-latex] (T) -- (B) node[midway,left] 2cm;
endtikzpicture
enddocument
ADDENDUM: A version for J Leon V. ;-)
documentclass[tikz,border=3.14mm]standalone
usetikzlibrary3d
usepackagetikz-3dplot
makeatletter % https://tex.stackexchange.com/a/48776/121799
tikzoptioncanvas is xy plane at z%
deftikz@plane@originpgfpointxyz00#1%
deftikz@plane@xpgfpointxyz10#1%
deftikz@plane@ypgfpointxyz01#1%
tikz@canvas@is@plane
makeatother
begindocument
foreach X in 0,5,...,355
tdplotsetmaincoords120+20*sin(X)-135+45*cos(2*X)
begintikzpicture
path[use as bounding box] (-6,-3) rectangle (6,5);
beginscope[tdplot_main_coords]
% face on the left
draw[fill=yellow!30!orange]
plot[variable=x,domain=tdplotmainphi+180:0,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- ++(0,0,2) --
plot[variable=x,domain=0:tdplotmainphi+180,samples=30,smooth]
(4*cos(x),4*sin(x),2) --cycle;
% face on the right
draw[fill=yellow!30!orange] plot[variable=x,domain=-90:tdplotmainphi,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- ++(0,0,2) --
plot[variable=x,domain=tdplotmainphi:-90,samples=30,smooth]
(4*cos(x),4*sin(x),2) -- cycle;
draw[fill=yellow!30!orange] plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),2) -- (0,-4,2) -- (0,0,2) -- (4,0,2) ;
beginscope[canvas is xz plane at y=0,transform shape]
filldraw[fill=yellow!80!orange] (4,2) -- (4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in 0.4/0.6/0.3,
0.5/1.3/0.2,
1.5/0.5/0.4,
1.5/0.5/0.4,
2.1/1.5/0.3,
2.5/0.8/0.2,
3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
beginscope[canvas is yz plane at x=0,transform shape]
filldraw[fill=yellow!80!orange] (-4,2) -- (-4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in -0.4/0.6/0.3,
-0.5/1.3/0.2,
-1.5/0.5/0.4,
-1.5/0.5/0.4,
-2.1/1.5/0.3,
-2.5/0.8/0.2,
-3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
path (5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),0) coordinate(B)
(5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),2) coordinate(T)
(0,0,3) coordinate (A);
beginscope[x=(1,0,0),y=(0,1,0),z=(0,0,1)]
beginscope[canvas is xy plane at z=2,transform shape]
fill (0,0) -- (0:0.1) arc(0:270:.1) -- cycle;
path (-0.3,0) -- (-0.3,-4) node[sloped,yscale=-1,midway] 4cm;
node[xscale=-1,rotate=-45] at (-0.6,0.6) $270^circ$;
pgflowlevelsynccm
draw[latex-latex] (0:0.4) arc(00:270:.4);
endscope
endscope
endscope
draw[latex-latex] (T) -- (B) node[midway,left] 2cm;
endtikzpicture
enddocument
2nd ADDENDUM: A version that works for all angles. This exploits the fact that the missing piece has an arc of 90 degrees. Therefore one can cook it down to 8 orderings of the elements.
documentclass[tikz,border=3.14mm]standalone
usetikzlibrary3d
usepackagetikz-3dplot
makeatletter % https://tex.stackexchange.com/a/48776/121799
tikzoptioncanvas is xy plane at z%
deftikz@plane@originpgfpointxyz00#1%
deftikz@plane@xpgfpointxyz10#1%
deftikz@plane@ypgfpointxyz01#1%
tikz@canvas@is@plane
makeatother
newcommandDrawVerticalPart[3]%
draw[fill=yellow!30!orange,#1]
plot[variable=x,domain=#2:#3,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- ++(0,0,2) --
plot[variable=x,domain=#3:#2,samples=30,smooth]
(4*cos(x),4*sin(x),2) --cycle;
newcommandCheesePiece[1]ifcase#1
or% 1: xz face
beginscope[canvas is xz plane at y=0,transform shape]
filldraw[fill=yellow!80!orange] (4,2) -- (4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in 0.4/0.6/0.3,
0.5/1.3/0.2,
1.5/0.5/0.4,
1.5/0.5/0.4,
2.1/1.5/0.3,
2.5/0.8/0.2,
3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
or% 2: yz face
beginscope[canvas is yz plane at x=0,transform shape]
filldraw[fill=yellow!80!orange] (-4,2) -- (-4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in -0.4/0.6/0.3,
-0.5/1.3/0.2,
-1.5/0.5/0.4,
-1.5/0.5/0.4,
-2.1/1.5/0.3,
-2.5/0.8/0.2,
-3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
or% 3: top
draw[fill=yellow!30!orange] plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),2) -- (0,-4,2) -- (0,0,2) -- (4,0,2);
or% 4: bottom
draw[fill=yellow!30!orange] plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),0) -- (0,-4,0) -- (0,0,0) -- (4,0,0);
fi
begindocument
foreach X in 0,5,...,355%45,135,225,315
%tdplotsetmaincoords120+20*sin(X)-135+45*cos(2*X)
tdplotsetmaincoords90+30*sin(X)X
begintikzpicture
path[use as bounding box] (-6,-3) rectangle (6,5);
pgfmathtruncatemacroxtestsign(cos(tdplotmainphi+90))
pgfmathtruncatemacroytestsign(-cos(tdplotmainphi))
pgfmathtruncatemacroztestsign(cos(tdplotmaintheta))
%node[anchor=north west] at (-6,5) X,xtest,ytest,ztest;
beginscope[tdplot_main_coords]
ifnumxtest=1
CheesePiece2
ifnumytest=1
CheesePiece1
DrawVerticalPart0tdplotmainphi-180
DrawVerticalParttdplotmainphi270
else
DrawVerticalPart0tdplotmainphi-180
fi
else
ifnumytest=1
CheesePiece1
DrawVerticalParttdplotmainphi270
else
DrawVerticalParttdplotmainphitdplotmainphi+180
fi
fi
ifnumztest=1
CheesePiece4
else
CheesePiece3
fi
endscope
endtikzpicture
enddocument
answered Aug 18 at 0:17
marmot
53.4k456116
3
Off-topic: People, ducks, marmots and gifs, gifs, GIIIIIIFS. :)
– manooooh
Aug 18 at 2:26
2
At some points in space and time there are conditions in which the arrow heads look a bit weird.
– Friendly Ghost
Aug 18 at 2:29
2
@FriendlyGhost Very good observation! Thanks! I fixed it, I believe. (One should always look at the output before uploading... ;-)
– marmot
Aug 18 at 2:54
2
@manooooh Added.
– marmot
Aug 18 at 4:53
2
+1 Excellent, as always exceeding expectations, but what about the internal lines of the cut ...
– J Leon V.
Aug 18 at 6:17
 |Â
show 4 more comments
up vote
21
down vote
accepted
TikZ and 3D means in my experience always a bit of improvisation. One can change the view angle with some restrictions. If you want to lift these restrictions, you may have to change the drawing order and/or add or subtract certain contours. UPDATE: Fixed a bug pointed out by Friendly Ghost: the projection of the arrow on top of the cheese was incorrect. This was due to a bug in the 3d library. Some time ago I knew about it but forgot it.
documentclass[tikz,border=3.14mm]standalone
usetikzlibrary3d
usepackagetikz-3dplot
makeatletter % https://tex.stackexchange.com/a/48776/121799
tikzoptioncanvas is xy plane at z%
deftikz@plane@originpgfpointxyz00#1%
deftikz@plane@xpgfpointxyz10#1%
deftikz@plane@ypgfpointxyz01#1%
tikz@canvas@is@plane
makeatother
begindocument
foreach X in 0,5,...,355
tdplotsetmaincoords120+20*sin(X)-135+45*cos(2*X)
begintikzpicture
path[use as bounding box] (-6,-3) rectangle (6,5);
beginscope[tdplot_main_coords]
draw plot[variable=x,domain=tdplotmainphi+180:0,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- (0,0,0) -- (0,-4,0)
plot[variable=x,domain=-90:tdplotmainphi,samples=30,smooth]
(4*cos(x),4*sin(x),0);
draw plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),2);
draw (0,-4,0) -- (0,-4,2) (4,0,0) -- (4,0,2) (0,0,0) -- (0,0,2)
(0,-4,2) -- (0,0,2) -- (4,0,2)
(4*cos(tdplotmainphi+180),4*sin(tdplotmainphi+180),0) --
(4*cos(tdplotmainphi+180),4*sin(tdplotmainphi+180),2)
(4*cos(tdplotmainphi),4*sin(tdplotmainphi),0) --
(4*cos(tdplotmainphi),4*sin(tdplotmainphi),2);
path (5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),0) coordinate(B)
(5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),2) coordinate(T)
(0,0,3) coordinate (A);
beginscope[x=(1,0,0),y=(0,1,0),z=(0,0,1)]
beginscope[canvas is xy plane at z=2,transform shape]
fill (0,0) -- (0:0.1) arc(0:270:.1) -- cycle;
path (-0.3,0) -- (-0.3,-4) node[sloped,yscale=-1,midway] 4cm;
node[xscale=-1,rotate=-45] at (-0.6,0.6) $270^circ$;
pgflowlevelsynccm
draw[latex-latex] (0:0.4) arc(00:270:.4);
endscope
endscope
endscope
draw[latex-latex] (T) -- (B) node[midway,left] 2cm;
endtikzpicture
enddocument
ADDENDUM: A version for J Leon V. ;-)
documentclass[tikz,border=3.14mm]standalone
usetikzlibrary3d
usepackagetikz-3dplot
makeatletter % https://tex.stackexchange.com/a/48776/121799
tikzoptioncanvas is xy plane at z%
deftikz@plane@originpgfpointxyz00#1%
deftikz@plane@xpgfpointxyz10#1%
deftikz@plane@ypgfpointxyz01#1%
tikz@canvas@is@plane
makeatother
begindocument
foreach X in 0,5,...,355
tdplotsetmaincoords120+20*sin(X)-135+45*cos(2*X)
begintikzpicture
path[use as bounding box] (-6,-3) rectangle (6,5);
beginscope[tdplot_main_coords]
% face on the left
draw[fill=yellow!30!orange]
plot[variable=x,domain=tdplotmainphi+180:0,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- ++(0,0,2) --
plot[variable=x,domain=0:tdplotmainphi+180,samples=30,smooth]
(4*cos(x),4*sin(x),2) --cycle;
% face on the right
draw[fill=yellow!30!orange] plot[variable=x,domain=-90:tdplotmainphi,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- ++(0,0,2) --
plot[variable=x,domain=tdplotmainphi:-90,samples=30,smooth]
(4*cos(x),4*sin(x),2) -- cycle;
draw[fill=yellow!30!orange] plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),2) -- (0,-4,2) -- (0,0,2) -- (4,0,2) ;
beginscope[canvas is xz plane at y=0,transform shape]
filldraw[fill=yellow!80!orange] (4,2) -- (4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in 0.4/0.6/0.3,
0.5/1.3/0.2,
1.5/0.5/0.4,
1.5/0.5/0.4,
2.1/1.5/0.3,
2.5/0.8/0.2,
3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
beginscope[canvas is yz plane at x=0,transform shape]
filldraw[fill=yellow!80!orange] (-4,2) -- (-4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in -0.4/0.6/0.3,
-0.5/1.3/0.2,
-1.5/0.5/0.4,
-1.5/0.5/0.4,
-2.1/1.5/0.3,
-2.5/0.8/0.2,
-3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
path (5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),0) coordinate(B)
(5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),2) coordinate(T)
(0,0,3) coordinate (A);
beginscope[x=(1,0,0),y=(0,1,0),z=(0,0,1)]
beginscope[canvas is xy plane at z=2,transform shape]
fill (0,0) -- (0:0.1) arc(0:270:.1) -- cycle;
path (-0.3,0) -- (-0.3,-4) node[sloped,yscale=-1,midway] 4cm;
node[xscale=-1,rotate=-45] at (-0.6,0.6) $270^circ$;
pgflowlevelsynccm
draw[latex-latex] (0:0.4) arc(00:270:.4);
endscope
endscope
endscope
draw[latex-latex] (T) -- (B) node[midway,left] 2cm;
endtikzpicture
enddocument
2nd ADDENDUM: A version that works for all angles. This exploits the fact that the missing piece has an arc of 90 degrees. Therefore one can cook it down to 8 orderings of the elements.
documentclass[tikz,border=3.14mm]standalone
usetikzlibrary3d
usepackagetikz-3dplot
makeatletter % https://tex.stackexchange.com/a/48776/121799
tikzoptioncanvas is xy plane at z%
deftikz@plane@originpgfpointxyz00#1%
deftikz@plane@xpgfpointxyz10#1%
deftikz@plane@ypgfpointxyz01#1%
tikz@canvas@is@plane
makeatother
newcommandDrawVerticalPart[3]%
draw[fill=yellow!30!orange,#1]
plot[variable=x,domain=#2:#3,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- ++(0,0,2) --
plot[variable=x,domain=#3:#2,samples=30,smooth]
(4*cos(x),4*sin(x),2) --cycle;
newcommandCheesePiece[1]ifcase#1
or% 1: xz face
beginscope[canvas is xz plane at y=0,transform shape]
filldraw[fill=yellow!80!orange] (4,2) -- (4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in 0.4/0.6/0.3,
0.5/1.3/0.2,
1.5/0.5/0.4,
1.5/0.5/0.4,
2.1/1.5/0.3,
2.5/0.8/0.2,
3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
or% 2: yz face
beginscope[canvas is yz plane at x=0,transform shape]
filldraw[fill=yellow!80!orange] (-4,2) -- (-4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in -0.4/0.6/0.3,
-0.5/1.3/0.2,
-1.5/0.5/0.4,
-1.5/0.5/0.4,
-2.1/1.5/0.3,
-2.5/0.8/0.2,
-3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
or% 3: top
draw[fill=yellow!30!orange] plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),2) -- (0,-4,2) -- (0,0,2) -- (4,0,2);
or% 4: bottom
draw[fill=yellow!30!orange] plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),0) -- (0,-4,0) -- (0,0,0) -- (4,0,0);
fi
begindocument
foreach X in 0,5,...,355%45,135,225,315
%tdplotsetmaincoords120+20*sin(X)-135+45*cos(2*X)
tdplotsetmaincoords90+30*sin(X)X
begintikzpicture
path[use as bounding box] (-6,-3) rectangle (6,5);
pgfmathtruncatemacroxtestsign(cos(tdplotmainphi+90))
pgfmathtruncatemacroytestsign(-cos(tdplotmainphi))
pgfmathtruncatemacroztestsign(cos(tdplotmaintheta))
%node[anchor=north west] at (-6,5) X,xtest,ytest,ztest;
beginscope[tdplot_main_coords]
ifnumxtest=1
CheesePiece2
ifnumytest=1
CheesePiece1
DrawVerticalPart0tdplotmainphi-180
DrawVerticalParttdplotmainphi270
else
DrawVerticalPart0tdplotmainphi-180
fi
else
ifnumytest=1
CheesePiece1
DrawVerticalParttdplotmainphi270
else
DrawVerticalParttdplotmainphitdplotmainphi+180
fi
fi
ifnumztest=1
CheesePiece4
else
CheesePiece3
fi
endscope
endtikzpicture
enddocument
answered Aug 18 at 0:17
marmot
53.4k456116
3
Off-topic: People, ducks, marmots and gifs, gifs, GIIIIIIFS. :)
– manooooh
Aug 18 at 2:26
2
At some points in space and time there are conditions in which the arrow heads look a bit weird.
– Friendly Ghost
Aug 18 at 2:29
2
@FriendlyGhost Very good observation! Thanks! I fixed it, I believe. (One should always look at the output before uploading... ;-)
– marmot
Aug 18 at 2:54
2
@manooooh Added.
– marmot
Aug 18 at 4:53
2
+1 Excellent, as always exceeding expectations, but what about the internal lines of the cut ...
– J Leon V.
Aug 18 at 6:17
 |Â
show 4 more comments
up vote
21
down vote
accepted
up vote
21
down vote
accepted
TikZ and 3D means in my experience always a bit of improvisation. One can change the view angle with some restrictions. If you want to lift these restrictions, you may have to change the drawing order and/or add or subtract certain contours. UPDATE: Fixed a bug pointed out by Friendly Ghost: the projection of the arrow on top of the cheese was incorrect. This was due to a bug in the 3d library. Some time ago I knew about it but forgot it.
documentclass[tikz,border=3.14mm]standalone
usetikzlibrary3d
usepackagetikz-3dplot
makeatletter % https://tex.stackexchange.com/a/48776/121799
tikzoptioncanvas is xy plane at z%
deftikz@plane@originpgfpointxyz00#1%
deftikz@plane@xpgfpointxyz10#1%
deftikz@plane@ypgfpointxyz01#1%
tikz@canvas@is@plane
makeatother
begindocument
foreach X in 0,5,...,355
tdplotsetmaincoords120+20*sin(X)-135+45*cos(2*X)
begintikzpicture
path[use as bounding box] (-6,-3) rectangle (6,5);
beginscope[tdplot_main_coords]
draw plot[variable=x,domain=tdplotmainphi+180:0,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- (0,0,0) -- (0,-4,0)
plot[variable=x,domain=-90:tdplotmainphi,samples=30,smooth]
(4*cos(x),4*sin(x),0);
draw plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),2);
draw (0,-4,0) -- (0,-4,2) (4,0,0) -- (4,0,2) (0,0,0) -- (0,0,2)
(0,-4,2) -- (0,0,2) -- (4,0,2)
(4*cos(tdplotmainphi+180),4*sin(tdplotmainphi+180),0) --
(4*cos(tdplotmainphi+180),4*sin(tdplotmainphi+180),2)
(4*cos(tdplotmainphi),4*sin(tdplotmainphi),0) --
(4*cos(tdplotmainphi),4*sin(tdplotmainphi),2);
path (5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),0) coordinate(B)
(5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),2) coordinate(T)
(0,0,3) coordinate (A);
beginscope[x=(1,0,0),y=(0,1,0),z=(0,0,1)]
beginscope[canvas is xy plane at z=2,transform shape]
fill (0,0) -- (0:0.1) arc(0:270:.1) -- cycle;
path (-0.3,0) -- (-0.3,-4) node[sloped,yscale=-1,midway] 4cm;
node[xscale=-1,rotate=-45] at (-0.6,0.6) $270^circ$;
pgflowlevelsynccm
draw[latex-latex] (0:0.4) arc(00:270:.4);
endscope
endscope
endscope
draw[latex-latex] (T) -- (B) node[midway,left] 2cm;
endtikzpicture
enddocument
ADDENDUM: A version for J Leon V. ;-)
documentclass[tikz,border=3.14mm]standalone
usetikzlibrary3d
usepackagetikz-3dplot
makeatletter % https://tex.stackexchange.com/a/48776/121799
tikzoptioncanvas is xy plane at z%
deftikz@plane@originpgfpointxyz00#1%
deftikz@plane@xpgfpointxyz10#1%
deftikz@plane@ypgfpointxyz01#1%
tikz@canvas@is@plane
makeatother
begindocument
foreach X in 0,5,...,355
tdplotsetmaincoords120+20*sin(X)-135+45*cos(2*X)
begintikzpicture
path[use as bounding box] (-6,-3) rectangle (6,5);
beginscope[tdplot_main_coords]
% face on the left
draw[fill=yellow!30!orange]
plot[variable=x,domain=tdplotmainphi+180:0,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- ++(0,0,2) --
plot[variable=x,domain=0:tdplotmainphi+180,samples=30,smooth]
(4*cos(x),4*sin(x),2) --cycle;
% face on the right
draw[fill=yellow!30!orange] plot[variable=x,domain=-90:tdplotmainphi,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- ++(0,0,2) --
plot[variable=x,domain=tdplotmainphi:-90,samples=30,smooth]
(4*cos(x),4*sin(x),2) -- cycle;
draw[fill=yellow!30!orange] plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),2) -- (0,-4,2) -- (0,0,2) -- (4,0,2) ;
beginscope[canvas is xz plane at y=0,transform shape]
filldraw[fill=yellow!80!orange] (4,2) -- (4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in 0.4/0.6/0.3,
0.5/1.3/0.2,
1.5/0.5/0.4,
1.5/0.5/0.4,
2.1/1.5/0.3,
2.5/0.8/0.2,
3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
beginscope[canvas is yz plane at x=0,transform shape]
filldraw[fill=yellow!80!orange] (-4,2) -- (-4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in -0.4/0.6/0.3,
-0.5/1.3/0.2,
-1.5/0.5/0.4,
-1.5/0.5/0.4,
-2.1/1.5/0.3,
-2.5/0.8/0.2,
-3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
path (5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),0) coordinate(B)
(5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),2) coordinate(T)
(0,0,3) coordinate (A);
beginscope[x=(1,0,0),y=(0,1,0),z=(0,0,1)]
beginscope[canvas is xy plane at z=2,transform shape]
fill (0,0) -- (0:0.1) arc(0:270:.1) -- cycle;
path (-0.3,0) -- (-0.3,-4) node[sloped,yscale=-1,midway] 4cm;
node[xscale=-1,rotate=-45] at (-0.6,0.6) $270^circ$;
pgflowlevelsynccm
draw[latex-latex] (0:0.4) arc(00:270:.4);
endscope
endscope
endscope
draw[latex-latex] (T) -- (B) node[midway,left] 2cm;
endtikzpicture
enddocument
2nd ADDENDUM: A version that works for all angles. This exploits the fact that the missing piece has an arc of 90 degrees. Therefore one can cook it down to 8 orderings of the elements.
documentclass[tikz,border=3.14mm]standalone
usetikzlibrary3d
usepackagetikz-3dplot
makeatletter % https://tex.stackexchange.com/a/48776/121799
tikzoptioncanvas is xy plane at z%
deftikz@plane@originpgfpointxyz00#1%
deftikz@plane@xpgfpointxyz10#1%
deftikz@plane@ypgfpointxyz01#1%
tikz@canvas@is@plane
makeatother
newcommandDrawVerticalPart[3]%
draw[fill=yellow!30!orange,#1]
plot[variable=x,domain=#2:#3,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- ++(0,0,2) --
plot[variable=x,domain=#3:#2,samples=30,smooth]
(4*cos(x),4*sin(x),2) --cycle;
newcommandCheesePiece[1]ifcase#1
or% 1: xz face
beginscope[canvas is xz plane at y=0,transform shape]
filldraw[fill=yellow!80!orange] (4,2) -- (4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in 0.4/0.6/0.3,
0.5/1.3/0.2,
1.5/0.5/0.4,
1.5/0.5/0.4,
2.1/1.5/0.3,
2.5/0.8/0.2,
3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
or% 2: yz face
beginscope[canvas is yz plane at x=0,transform shape]
filldraw[fill=yellow!80!orange] (-4,2) -- (-4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in -0.4/0.6/0.3,
-0.5/1.3/0.2,
-1.5/0.5/0.4,
-1.5/0.5/0.4,
-2.1/1.5/0.3,
-2.5/0.8/0.2,
-3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
or% 3: top
draw[fill=yellow!30!orange] plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),2) -- (0,-4,2) -- (0,0,2) -- (4,0,2);
or% 4: bottom
draw[fill=yellow!30!orange] plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),0) -- (0,-4,0) -- (0,0,0) -- (4,0,0);
fi
begindocument
foreach X in 0,5,...,355%45,135,225,315
%tdplotsetmaincoords120+20*sin(X)-135+45*cos(2*X)
tdplotsetmaincoords90+30*sin(X)X
begintikzpicture
path[use as bounding box] (-6,-3) rectangle (6,5);
pgfmathtruncatemacroxtestsign(cos(tdplotmainphi+90))
pgfmathtruncatemacroytestsign(-cos(tdplotmainphi))
pgfmathtruncatemacroztestsign(cos(tdplotmaintheta))
%node[anchor=north west] at (-6,5) X,xtest,ytest,ztest;
beginscope[tdplot_main_coords]
ifnumxtest=1
CheesePiece2
ifnumytest=1
CheesePiece1
DrawVerticalPart0tdplotmainphi-180
DrawVerticalParttdplotmainphi270
else
DrawVerticalPart0tdplotmainphi-180
fi
else
ifnumytest=1
CheesePiece1
DrawVerticalParttdplotmainphi270
else
DrawVerticalParttdplotmainphitdplotmainphi+180
fi
fi
ifnumztest=1
CheesePiece4
else
CheesePiece3
fi
endscope
endtikzpicture
enddocument
answered Aug 18 at 0:17
marmot
53.4k456116
TikZ and 3D means in my experience always a bit of improvisation. One can change the view angle with some restrictions. If you want to lift these restrictions, you may have to change the drawing order and/or add or subtract certain contours. UPDATE: Fixed a bug pointed out by Friendly Ghost: the projection of the arrow on top of the cheese was incorrect. This was due to a bug in the 3d library. Some time ago I knew about it but forgot it.
documentclass[tikz,border=3.14mm]standalone
usetikzlibrary3d
usepackagetikz-3dplot
makeatletter % https://tex.stackexchange.com/a/48776/121799
tikzoptioncanvas is xy plane at z%
deftikz@plane@originpgfpointxyz00#1%
deftikz@plane@xpgfpointxyz10#1%
deftikz@plane@ypgfpointxyz01#1%
tikz@canvas@is@plane
makeatother
begindocument
foreach X in 0,5,...,355
tdplotsetmaincoords120+20*sin(X)-135+45*cos(2*X)
begintikzpicture
path[use as bounding box] (-6,-3) rectangle (6,5);
beginscope[tdplot_main_coords]
draw plot[variable=x,domain=tdplotmainphi+180:0,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- (0,0,0) -- (0,-4,0)
plot[variable=x,domain=-90:tdplotmainphi,samples=30,smooth]
(4*cos(x),4*sin(x),0);
draw plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),2);
draw (0,-4,0) -- (0,-4,2) (4,0,0) -- (4,0,2) (0,0,0) -- (0,0,2)
(0,-4,2) -- (0,0,2) -- (4,0,2)
(4*cos(tdplotmainphi+180),4*sin(tdplotmainphi+180),0) --
(4*cos(tdplotmainphi+180),4*sin(tdplotmainphi+180),2)
(4*cos(tdplotmainphi),4*sin(tdplotmainphi),0) --
(4*cos(tdplotmainphi),4*sin(tdplotmainphi),2);
path (5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),0) coordinate(B)
(5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),2) coordinate(T)
(0,0,3) coordinate (A);
beginscope[x=(1,0,0),y=(0,1,0),z=(0,0,1)]
beginscope[canvas is xy plane at z=2,transform shape]
fill (0,0) -- (0:0.1) arc(0:270:.1) -- cycle;
path (-0.3,0) -- (-0.3,-4) node[sloped,yscale=-1,midway] 4cm;
node[xscale=-1,rotate=-45] at (-0.6,0.6) $270^circ$;
pgflowlevelsynccm
draw[latex-latex] (0:0.4) arc(00:270:.4);
endscope
endscope
endscope
draw[latex-latex] (T) -- (B) node[midway,left] 2cm;
endtikzpicture
enddocument
ADDENDUM: A version for J Leon V. ;-)
documentclass[tikz,border=3.14mm]standalone
usetikzlibrary3d
usepackagetikz-3dplot
makeatletter % https://tex.stackexchange.com/a/48776/121799
tikzoptioncanvas is xy plane at z%
deftikz@plane@originpgfpointxyz00#1%
deftikz@plane@xpgfpointxyz10#1%
deftikz@plane@ypgfpointxyz01#1%
tikz@canvas@is@plane
makeatother
begindocument
foreach X in 0,5,...,355
tdplotsetmaincoords120+20*sin(X)-135+45*cos(2*X)
begintikzpicture
path[use as bounding box] (-6,-3) rectangle (6,5);
beginscope[tdplot_main_coords]
% face on the left
draw[fill=yellow!30!orange]
plot[variable=x,domain=tdplotmainphi+180:0,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- ++(0,0,2) --
plot[variable=x,domain=0:tdplotmainphi+180,samples=30,smooth]
(4*cos(x),4*sin(x),2) --cycle;
% face on the right
draw[fill=yellow!30!orange] plot[variable=x,domain=-90:tdplotmainphi,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- ++(0,0,2) --
plot[variable=x,domain=tdplotmainphi:-90,samples=30,smooth]
(4*cos(x),4*sin(x),2) -- cycle;
draw[fill=yellow!30!orange] plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),2) -- (0,-4,2) -- (0,0,2) -- (4,0,2) ;
beginscope[canvas is xz plane at y=0,transform shape]
filldraw[fill=yellow!80!orange] (4,2) -- (4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in 0.4/0.6/0.3,
0.5/1.3/0.2,
1.5/0.5/0.4,
1.5/0.5/0.4,
2.1/1.5/0.3,
2.5/0.8/0.2,
3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
beginscope[canvas is yz plane at x=0,transform shape]
filldraw[fill=yellow!80!orange] (-4,2) -- (-4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in -0.4/0.6/0.3,
-0.5/1.3/0.2,
-1.5/0.5/0.4,
-1.5/0.5/0.4,
-2.1/1.5/0.3,
-2.5/0.8/0.2,
-3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
path (5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),0) coordinate(B)
(5*cos(tdplotmainphi+180),5*sin(tdplotmainphi+180),2) coordinate(T)
(0,0,3) coordinate (A);
beginscope[x=(1,0,0),y=(0,1,0),z=(0,0,1)]
beginscope[canvas is xy plane at z=2,transform shape]
fill (0,0) -- (0:0.1) arc(0:270:.1) -- cycle;
path (-0.3,0) -- (-0.3,-4) node[sloped,yscale=-1,midway] 4cm;
node[xscale=-1,rotate=-45] at (-0.6,0.6) $270^circ$;
pgflowlevelsynccm
draw[latex-latex] (0:0.4) arc(00:270:.4);
endscope
endscope
endscope
draw[latex-latex] (T) -- (B) node[midway,left] 2cm;
endtikzpicture
enddocument
2nd ADDENDUM: A version that works for all angles. This exploits the fact that the missing piece has an arc of 90 degrees. Therefore one can cook it down to 8 orderings of the elements.
documentclass[tikz,border=3.14mm]standalone
usetikzlibrary3d
usepackagetikz-3dplot
makeatletter % https://tex.stackexchange.com/a/48776/121799
tikzoptioncanvas is xy plane at z%
deftikz@plane@originpgfpointxyz00#1%
deftikz@plane@xpgfpointxyz10#1%
deftikz@plane@ypgfpointxyz01#1%
tikz@canvas@is@plane
makeatother
newcommandDrawVerticalPart[3]%
draw[fill=yellow!30!orange,#1]
plot[variable=x,domain=#2:#3,samples=30,smooth]
(4*cos(x),4*sin(x),0) -- ++(0,0,2) --
plot[variable=x,domain=#3:#2,samples=30,smooth]
(4*cos(x),4*sin(x),2) --cycle;
newcommandCheesePiece[1]ifcase#1
or% 1: xz face
beginscope[canvas is xz plane at y=0,transform shape]
filldraw[fill=yellow!80!orange] (4,2) -- (4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in 0.4/0.6/0.3,
0.5/1.3/0.2,
1.5/0.5/0.4,
1.5/0.5/0.4,
2.1/1.5/0.3,
2.5/0.8/0.2,
3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
or% 2: yz face
beginscope[canvas is yz plane at x=0,transform shape]
filldraw[fill=yellow!80!orange] (-4,2) -- (-4,0) --(0,0) -- (0,2) -- cycle;
foreach x/y/r in -0.4/0.6/0.3,
-0.5/1.3/0.2,
-1.5/0.5/0.4,
-1.5/0.5/0.4,
-2.1/1.5/0.3,
-2.5/0.8/0.2,
-3.3/1.1/0.3
shade[ball color=yellow!80!orange,opacity=0.2] (x,y) circle (r);
endscope
or% 3: top
draw[fill=yellow!30!orange] plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),2) -- (0,-4,2) -- (0,0,2) -- (4,0,2);
or% 4: bottom
draw[fill=yellow!30!orange] plot[variable=x,domain=0:270,samples=90,smooth]
(4*cos(x),4*sin(x),0) -- (0,-4,0) -- (0,0,0) -- (4,0,0);
fi
begindocument
foreach X in 0,5,...,355%45,135,225,315
%tdplotsetmaincoords120+20*sin(X)-135+45*cos(2*X)
tdplotsetmaincoords90+30*sin(X)X
begintikzpicture
path[use as bounding box] (-6,-3) rectangle (6,5);
pgfmathtruncatemacroxtestsign(cos(tdplotmainphi+90))
pgfmathtruncatemacroytestsign(-cos(tdplotmainphi))
pgfmathtruncatemacroztestsign(cos(tdplotmaintheta))
%node[anchor=north west] at (-6,5) X,xtest,ytest,ztest;
beginscope[tdplot_main_coords]
ifnumxtest=1
CheesePiece2
ifnumytest=1
CheesePiece1
DrawVerticalPart0tdplotmainphi-180
DrawVerticalParttdplotmainphi270
else
DrawVerticalPart0tdplotmainphi-180
fi
else
ifnumytest=1
CheesePiece1
DrawVerticalParttdplotmainphi270
else
DrawVerticalParttdplotmainphitdplotmainphi+180
fi
fi
ifnumztest=1
CheesePiece4
else
CheesePiece3
fi
endscope
endtikzpicture
enddocument
answered Aug 18 at 0:17
marmot
53.4k456116
edited Aug 27 at 3:42
answered Aug 18 at 0:17
marmot
53.4k456116
answered Aug 18 at 0:17
marmot
53.4k456116
answered Aug 18 at 0:17
marmot
53.4k456116
53.4k456116
3
Off-topic: People, ducks, marmots and gifs, gifs, GIIIIIIFS. :)
– manooooh
Aug 18 at 2:26
2
At some points in space and time there are conditions in which the arrow heads look a bit weird.
– Friendly Ghost
Aug 18 at 2:29
2
@FriendlyGhost Very good observation! Thanks! I fixed it, I believe. (One should always look at the output before uploading... ;-)
– marmot
Aug 18 at 2:54
2
@manooooh Added.
– marmot
Aug 18 at 4:53
2
+1 Excellent, as always exceeding expectations, but what about the internal lines of the cut ...
– J Leon V.
Aug 18 at 6:17
 |Â
show 4 more comments
3
Off-topic: People, ducks, marmots and gifs, gifs, GIIIIIIFS. :)
– manooooh
Aug 18 at 2:26
2
At some points in space and time there are conditions in which the arrow heads look a bit weird.
– Friendly Ghost
Aug 18 at 2:29
2
@FriendlyGhost Very good observation! Thanks! I fixed it, I believe. (One should always look at the output before uploading... ;-)
– marmot
Aug 18 at 2:54
2
@manooooh Added.
– marmot
Aug 18 at 4:53
2
+1 Excellent, as always exceeding expectations, but what about the internal lines of the cut ...
– J Leon V.
Aug 18 at 6:17
3
3
Off-topic: People, ducks, marmots and gifs, gifs, GIIIIIIFS. :)
– manooooh
Aug 18 at 2:26
Off-topic: People, ducks, marmots and gifs, gifs, GIIIIIIFS. :)
– manooooh
Aug 18 at 2:26
2
2
At some points in space and time there are conditions in which the arrow heads look a bit weird.
– Friendly Ghost
Aug 18 at 2:29
At some points in space and time there are conditions in which the arrow heads look a bit weird.
– Friendly Ghost
Aug 18 at 2:29
2
2
@FriendlyGhost Very good observation! Thanks! I fixed it, I believe. (One should always look at the output before uploading... ;-)
– marmot
Aug 18 at 2:54
@FriendlyGhost Very good observation! Thanks! I fixed it, I believe. (One should always look at the output before uploading... ;-)
– marmot
Aug 18 at 2:54
2
2
@manooooh Added.
– marmot
Aug 18 at 4:53
@manooooh Added.
– marmot
Aug 18 at 4:53
2
2
+1 Excellent, as always exceeding expectations, but what about the internal lines of the cut ...
– J Leon V.
Aug 18 at 6:17
+1 Excellent, as always exceeding expectations, but what about the internal lines of the cut ...
– J Leon V.
Aug 18 at 6:17
 |Â
show 4 more comments
Â
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Easiest would be to use tikz3d instead.
– John Kormylo
Aug 17 at 23:55
This is not a plot, so you should not use PGFPlots, but pure TikZ. There are many sources on how to draw an arc, a line and add text(nodes). See e.g. the introduction in the TikZ manual. Anyway, for a question here you need to show what you have, and describe what is causing you problems.
– hpekristiansen
Aug 17 at 23:58
I think you found how to draw a cylinder in the TikZ manual and not in the PGFPlots manual, right? And as another side note, if you really want to use this as a diagram: Have a look at section 7.6 p. 94f in the TikZ/pgf manual (v3.0.1a) on why you shouldn't use 3D pie charts.
– Stefan Pinnow
Aug 18 at 5:01