A diagram about partial derivatives of f(x,y)

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP












6















enter image description hereHow can I draw this image using TikZ?



enter image description here










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  • 6





    Welcome to TeX.SE! Can you please show us the code you have tried so far?

    – Kurt
    Mar 16 at 17:17






  • 4





    Welcome to TeX.SX. Questions about how to draw specific graphics that just post an image of the desired result are really not reasonable questions to ask on the site. Please post a minimal compilable document showing that you've tried to produce the image and then people will be happy to help you with any specific problems you may have. See minimal working example (MWE) for what needs to go into such a document.

    – Stefan Pinnow
    Mar 16 at 17:55















6















enter image description hereHow can I draw this image using TikZ?



enter image description here










share|improve this question



















  • 6





    Welcome to TeX.SE! Can you please show us the code you have tried so far?

    – Kurt
    Mar 16 at 17:17






  • 4





    Welcome to TeX.SX. Questions about how to draw specific graphics that just post an image of the desired result are really not reasonable questions to ask on the site. Please post a minimal compilable document showing that you've tried to produce the image and then people will be happy to help you with any specific problems you may have. See minimal working example (MWE) for what needs to go into such a document.

    – Stefan Pinnow
    Mar 16 at 17:55













6












6








6


5






enter image description hereHow can I draw this image using TikZ?



enter image description here










share|improve this question
















enter image description hereHow can I draw this image using TikZ?



enter image description here







tikz-pgf color 3d






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share|improve this question













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edited Mar 16 at 20:06









Artificial Hairless Armpit

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asked Mar 16 at 17:15









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372




372







  • 6





    Welcome to TeX.SE! Can you please show us the code you have tried so far?

    – Kurt
    Mar 16 at 17:17






  • 4





    Welcome to TeX.SX. Questions about how to draw specific graphics that just post an image of the desired result are really not reasonable questions to ask on the site. Please post a minimal compilable document showing that you've tried to produce the image and then people will be happy to help you with any specific problems you may have. See minimal working example (MWE) for what needs to go into such a document.

    – Stefan Pinnow
    Mar 16 at 17:55












  • 6





    Welcome to TeX.SE! Can you please show us the code you have tried so far?

    – Kurt
    Mar 16 at 17:17






  • 4





    Welcome to TeX.SX. Questions about how to draw specific graphics that just post an image of the desired result are really not reasonable questions to ask on the site. Please post a minimal compilable document showing that you've tried to produce the image and then people will be happy to help you with any specific problems you may have. See minimal working example (MWE) for what needs to go into such a document.

    – Stefan Pinnow
    Mar 16 at 17:55







6




6





Welcome to TeX.SE! Can you please show us the code you have tried so far?

– Kurt
Mar 16 at 17:17





Welcome to TeX.SE! Can you please show us the code you have tried so far?

– Kurt
Mar 16 at 17:17




4




4





Welcome to TeX.SX. Questions about how to draw specific graphics that just post an image of the desired result are really not reasonable questions to ask on the site. Please post a minimal compilable document showing that you've tried to produce the image and then people will be happy to help you with any specific problems you may have. See minimal working example (MWE) for what needs to go into such a document.

– Stefan Pinnow
Mar 16 at 17:55





Welcome to TeX.SX. Questions about how to draw specific graphics that just post an image of the desired result are really not reasonable questions to ask on the site. Please post a minimal compilable document showing that you've tried to produce the image and then people will be happy to help you with any specific problems you may have. See minimal working example (MWE) for what needs to go into such a document.

– Stefan Pinnow
Mar 16 at 17:55










1 Answer
1






active

oldest

votes


















19














Your question contains four pictures, out of which I am focusing on the lower two. Given that you want to vary the gray level of the plots, I'd like to recommend pgfplots where this kind of shading can be achieved with point meta. Like many other users, I am not too keen on punching in texts from screen shots, so I added some texts but you will find it easy to modify them to your needs.



documentclass[tikz,border=3.14mm]standalone
usetikzlibraryshadings
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[bullet/.style=circle,fill,inner sep=1pt,
declare function=f(x,y)=2-0.5*pow(x-1.25,2)-0.5*pow(y-1,2);]
beginaxis[view=15045,colormap/blackwhite,axis lines=middle,%
zmax=2.2,zmin=0,xmin=-0.2,xmax=2.4,ymin=-0.2,ymax=2,%
xlabel=$x$,ylabel=$y$,zlabel=$z$,
xtick=empty,ytick=empty,ztick=empty]
addplot3[surf,shader=interp,domain=0.6:2,domain y=0.5:1.2,opacity=0.7]
f(x,y);
addplot3[thick,domain=0.6:2,samples y=1] (x,1.2,f(x,1.2));
draw[dashed] (1.75,0,0) node[above left]$x_0$ -- (1.75,1.2,0)
node[bullet] (b1) -- (0,1.2,0) node[above right]$y_0$
(1.75,1.2,0) -- (1.75,1.2,f(1.75,1.2))node[bullet] ;
draw (1.75,1.2,f(1.75,1.2)) -- (0.75,1.2,f(1.75,1.2)+0.5)
coordinate[pos=0.5] (aux1);
draw[opacity=0.5,upper left=gray!80!black,upper right=gray!60,
lower left=gray!60,lower right=gray!80!black] (2,1.2,0) -- (0.6,1.2,0)
-- (0.6,1.2,2.2) -- (2,1.2,2.2) -- cycle;
addplot3[surf,shader=interp,domain=0.6:2,domain y=1.2:1.9,opacity=0.7]
f(x,y);
endaxis
draw (aux1) -- ++ (-1,1) node[above,align=center]slope in $x$ direction\
$partial_xf(x,y);
node[anchor=north west] at (b1) $(x_0,y_0)$;
%
beginaxis[xshift=6.5cm,view=15045,colormap/blackwhite,axis lines=middle,%
zmax=2.2,zmin=0,xmin=-0.2,xmax=2.4,ymin=-0.2,ymax=2,%
xlabel=$x$,ylabel=$y$,zlabel=$z$,
xtick=empty,ytick=empty,ztick=empty]
addplot3[surf,shader=interp,domain=0.6:1.75,domain y=0.5:1.9,opacity=0.7]
f(x,y);
addplot3[thick,domain=0.5:1.9,samples y=1] (1.75,x,f(1.75,x));
draw[dashed] (1.75,0,0) node[above left]$x_0$ -- (1.75,1.2,0)
node[bullet] (b2)
-- (0,1.2,0) node[above right]$y_0$
(1.75,1.2,0) -- (1.75,1.2,f(1.75,1.2))node[bullet] ;
draw (1.75,1.2,f(1.75,1.2)) -- (1.75,0.2,f(1.75,1.2)+0.2)
coordinate[pos=0.5] (aux2);
draw[opacity=0.5,upper left=gray!80!black,upper right=gray!60,
lower left=gray!60,lower right=gray!80!black] (1.75,0.5,0) -- (1.75,1.9,0)
-- (1.75,1.9,2.2) -- (1.75,0.5,2.2) -- cycle;
addplot3[surf,shader=interp,domain=1.75:2,domain y=0.5:1.9,opacity=0.7]
f(x,y);
endaxis
draw (aux2) -- ++ (0.3,1) node[above,align=center]slope in $y$ direction\
$partial_yf(x,y);
node[anchor=north east] at (b2) $(x_0,y_0)$;
endtikzpicture
enddocument


enter image description here






share|improve this answer




















  • 5





    excellent (+1).

    – ferahfeza
    Mar 16 at 19:13






  • 4





    Simply awesome.

    – Sebastiano
    Mar 16 at 20:17











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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









19














Your question contains four pictures, out of which I am focusing on the lower two. Given that you want to vary the gray level of the plots, I'd like to recommend pgfplots where this kind of shading can be achieved with point meta. Like many other users, I am not too keen on punching in texts from screen shots, so I added some texts but you will find it easy to modify them to your needs.



documentclass[tikz,border=3.14mm]standalone
usetikzlibraryshadings
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[bullet/.style=circle,fill,inner sep=1pt,
declare function=f(x,y)=2-0.5*pow(x-1.25,2)-0.5*pow(y-1,2);]
beginaxis[view=15045,colormap/blackwhite,axis lines=middle,%
zmax=2.2,zmin=0,xmin=-0.2,xmax=2.4,ymin=-0.2,ymax=2,%
xlabel=$x$,ylabel=$y$,zlabel=$z$,
xtick=empty,ytick=empty,ztick=empty]
addplot3[surf,shader=interp,domain=0.6:2,domain y=0.5:1.2,opacity=0.7]
f(x,y);
addplot3[thick,domain=0.6:2,samples y=1] (x,1.2,f(x,1.2));
draw[dashed] (1.75,0,0) node[above left]$x_0$ -- (1.75,1.2,0)
node[bullet] (b1) -- (0,1.2,0) node[above right]$y_0$
(1.75,1.2,0) -- (1.75,1.2,f(1.75,1.2))node[bullet] ;
draw (1.75,1.2,f(1.75,1.2)) -- (0.75,1.2,f(1.75,1.2)+0.5)
coordinate[pos=0.5] (aux1);
draw[opacity=0.5,upper left=gray!80!black,upper right=gray!60,
lower left=gray!60,lower right=gray!80!black] (2,1.2,0) -- (0.6,1.2,0)
-- (0.6,1.2,2.2) -- (2,1.2,2.2) -- cycle;
addplot3[surf,shader=interp,domain=0.6:2,domain y=1.2:1.9,opacity=0.7]
f(x,y);
endaxis
draw (aux1) -- ++ (-1,1) node[above,align=center]slope in $x$ direction\
$partial_xf(x,y);
node[anchor=north west] at (b1) $(x_0,y_0)$;
%
beginaxis[xshift=6.5cm,view=15045,colormap/blackwhite,axis lines=middle,%
zmax=2.2,zmin=0,xmin=-0.2,xmax=2.4,ymin=-0.2,ymax=2,%
xlabel=$x$,ylabel=$y$,zlabel=$z$,
xtick=empty,ytick=empty,ztick=empty]
addplot3[surf,shader=interp,domain=0.6:1.75,domain y=0.5:1.9,opacity=0.7]
f(x,y);
addplot3[thick,domain=0.5:1.9,samples y=1] (1.75,x,f(1.75,x));
draw[dashed] (1.75,0,0) node[above left]$x_0$ -- (1.75,1.2,0)
node[bullet] (b2)
-- (0,1.2,0) node[above right]$y_0$
(1.75,1.2,0) -- (1.75,1.2,f(1.75,1.2))node[bullet] ;
draw (1.75,1.2,f(1.75,1.2)) -- (1.75,0.2,f(1.75,1.2)+0.2)
coordinate[pos=0.5] (aux2);
draw[opacity=0.5,upper left=gray!80!black,upper right=gray!60,
lower left=gray!60,lower right=gray!80!black] (1.75,0.5,0) -- (1.75,1.9,0)
-- (1.75,1.9,2.2) -- (1.75,0.5,2.2) -- cycle;
addplot3[surf,shader=interp,domain=1.75:2,domain y=0.5:1.9,opacity=0.7]
f(x,y);
endaxis
draw (aux2) -- ++ (0.3,1) node[above,align=center]slope in $y$ direction\
$partial_yf(x,y);
node[anchor=north east] at (b2) $(x_0,y_0)$;
endtikzpicture
enddocument


enter image description here






share|improve this answer




















  • 5





    excellent (+1).

    – ferahfeza
    Mar 16 at 19:13






  • 4





    Simply awesome.

    – Sebastiano
    Mar 16 at 20:17















19














Your question contains four pictures, out of which I am focusing on the lower two. Given that you want to vary the gray level of the plots, I'd like to recommend pgfplots where this kind of shading can be achieved with point meta. Like many other users, I am not too keen on punching in texts from screen shots, so I added some texts but you will find it easy to modify them to your needs.



documentclass[tikz,border=3.14mm]standalone
usetikzlibraryshadings
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[bullet/.style=circle,fill,inner sep=1pt,
declare function=f(x,y)=2-0.5*pow(x-1.25,2)-0.5*pow(y-1,2);]
beginaxis[view=15045,colormap/blackwhite,axis lines=middle,%
zmax=2.2,zmin=0,xmin=-0.2,xmax=2.4,ymin=-0.2,ymax=2,%
xlabel=$x$,ylabel=$y$,zlabel=$z$,
xtick=empty,ytick=empty,ztick=empty]
addplot3[surf,shader=interp,domain=0.6:2,domain y=0.5:1.2,opacity=0.7]
f(x,y);
addplot3[thick,domain=0.6:2,samples y=1] (x,1.2,f(x,1.2));
draw[dashed] (1.75,0,0) node[above left]$x_0$ -- (1.75,1.2,0)
node[bullet] (b1) -- (0,1.2,0) node[above right]$y_0$
(1.75,1.2,0) -- (1.75,1.2,f(1.75,1.2))node[bullet] ;
draw (1.75,1.2,f(1.75,1.2)) -- (0.75,1.2,f(1.75,1.2)+0.5)
coordinate[pos=0.5] (aux1);
draw[opacity=0.5,upper left=gray!80!black,upper right=gray!60,
lower left=gray!60,lower right=gray!80!black] (2,1.2,0) -- (0.6,1.2,0)
-- (0.6,1.2,2.2) -- (2,1.2,2.2) -- cycle;
addplot3[surf,shader=interp,domain=0.6:2,domain y=1.2:1.9,opacity=0.7]
f(x,y);
endaxis
draw (aux1) -- ++ (-1,1) node[above,align=center]slope in $x$ direction\
$partial_xf(x,y);
node[anchor=north west] at (b1) $(x_0,y_0)$;
%
beginaxis[xshift=6.5cm,view=15045,colormap/blackwhite,axis lines=middle,%
zmax=2.2,zmin=0,xmin=-0.2,xmax=2.4,ymin=-0.2,ymax=2,%
xlabel=$x$,ylabel=$y$,zlabel=$z$,
xtick=empty,ytick=empty,ztick=empty]
addplot3[surf,shader=interp,domain=0.6:1.75,domain y=0.5:1.9,opacity=0.7]
f(x,y);
addplot3[thick,domain=0.5:1.9,samples y=1] (1.75,x,f(1.75,x));
draw[dashed] (1.75,0,0) node[above left]$x_0$ -- (1.75,1.2,0)
node[bullet] (b2)
-- (0,1.2,0) node[above right]$y_0$
(1.75,1.2,0) -- (1.75,1.2,f(1.75,1.2))node[bullet] ;
draw (1.75,1.2,f(1.75,1.2)) -- (1.75,0.2,f(1.75,1.2)+0.2)
coordinate[pos=0.5] (aux2);
draw[opacity=0.5,upper left=gray!80!black,upper right=gray!60,
lower left=gray!60,lower right=gray!80!black] (1.75,0.5,0) -- (1.75,1.9,0)
-- (1.75,1.9,2.2) -- (1.75,0.5,2.2) -- cycle;
addplot3[surf,shader=interp,domain=1.75:2,domain y=0.5:1.9,opacity=0.7]
f(x,y);
endaxis
draw (aux2) -- ++ (0.3,1) node[above,align=center]slope in $y$ direction\
$partial_yf(x,y);
node[anchor=north east] at (b2) $(x_0,y_0)$;
endtikzpicture
enddocument


enter image description here






share|improve this answer




















  • 5





    excellent (+1).

    – ferahfeza
    Mar 16 at 19:13






  • 4





    Simply awesome.

    – Sebastiano
    Mar 16 at 20:17













19












19








19







Your question contains four pictures, out of which I am focusing on the lower two. Given that you want to vary the gray level of the plots, I'd like to recommend pgfplots where this kind of shading can be achieved with point meta. Like many other users, I am not too keen on punching in texts from screen shots, so I added some texts but you will find it easy to modify them to your needs.



documentclass[tikz,border=3.14mm]standalone
usetikzlibraryshadings
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[bullet/.style=circle,fill,inner sep=1pt,
declare function=f(x,y)=2-0.5*pow(x-1.25,2)-0.5*pow(y-1,2);]
beginaxis[view=15045,colormap/blackwhite,axis lines=middle,%
zmax=2.2,zmin=0,xmin=-0.2,xmax=2.4,ymin=-0.2,ymax=2,%
xlabel=$x$,ylabel=$y$,zlabel=$z$,
xtick=empty,ytick=empty,ztick=empty]
addplot3[surf,shader=interp,domain=0.6:2,domain y=0.5:1.2,opacity=0.7]
f(x,y);
addplot3[thick,domain=0.6:2,samples y=1] (x,1.2,f(x,1.2));
draw[dashed] (1.75,0,0) node[above left]$x_0$ -- (1.75,1.2,0)
node[bullet] (b1) -- (0,1.2,0) node[above right]$y_0$
(1.75,1.2,0) -- (1.75,1.2,f(1.75,1.2))node[bullet] ;
draw (1.75,1.2,f(1.75,1.2)) -- (0.75,1.2,f(1.75,1.2)+0.5)
coordinate[pos=0.5] (aux1);
draw[opacity=0.5,upper left=gray!80!black,upper right=gray!60,
lower left=gray!60,lower right=gray!80!black] (2,1.2,0) -- (0.6,1.2,0)
-- (0.6,1.2,2.2) -- (2,1.2,2.2) -- cycle;
addplot3[surf,shader=interp,domain=0.6:2,domain y=1.2:1.9,opacity=0.7]
f(x,y);
endaxis
draw (aux1) -- ++ (-1,1) node[above,align=center]slope in $x$ direction\
$partial_xf(x,y);
node[anchor=north west] at (b1) $(x_0,y_0)$;
%
beginaxis[xshift=6.5cm,view=15045,colormap/blackwhite,axis lines=middle,%
zmax=2.2,zmin=0,xmin=-0.2,xmax=2.4,ymin=-0.2,ymax=2,%
xlabel=$x$,ylabel=$y$,zlabel=$z$,
xtick=empty,ytick=empty,ztick=empty]
addplot3[surf,shader=interp,domain=0.6:1.75,domain y=0.5:1.9,opacity=0.7]
f(x,y);
addplot3[thick,domain=0.5:1.9,samples y=1] (1.75,x,f(1.75,x));
draw[dashed] (1.75,0,0) node[above left]$x_0$ -- (1.75,1.2,0)
node[bullet] (b2)
-- (0,1.2,0) node[above right]$y_0$
(1.75,1.2,0) -- (1.75,1.2,f(1.75,1.2))node[bullet] ;
draw (1.75,1.2,f(1.75,1.2)) -- (1.75,0.2,f(1.75,1.2)+0.2)
coordinate[pos=0.5] (aux2);
draw[opacity=0.5,upper left=gray!80!black,upper right=gray!60,
lower left=gray!60,lower right=gray!80!black] (1.75,0.5,0) -- (1.75,1.9,0)
-- (1.75,1.9,2.2) -- (1.75,0.5,2.2) -- cycle;
addplot3[surf,shader=interp,domain=1.75:2,domain y=0.5:1.9,opacity=0.7]
f(x,y);
endaxis
draw (aux2) -- ++ (0.3,1) node[above,align=center]slope in $y$ direction\
$partial_yf(x,y);
node[anchor=north east] at (b2) $(x_0,y_0)$;
endtikzpicture
enddocument


enter image description here






share|improve this answer















Your question contains four pictures, out of which I am focusing on the lower two. Given that you want to vary the gray level of the plots, I'd like to recommend pgfplots where this kind of shading can be achieved with point meta. Like many other users, I am not too keen on punching in texts from screen shots, so I added some texts but you will find it easy to modify them to your needs.



documentclass[tikz,border=3.14mm]standalone
usetikzlibraryshadings
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[bullet/.style=circle,fill,inner sep=1pt,
declare function=f(x,y)=2-0.5*pow(x-1.25,2)-0.5*pow(y-1,2);]
beginaxis[view=15045,colormap/blackwhite,axis lines=middle,%
zmax=2.2,zmin=0,xmin=-0.2,xmax=2.4,ymin=-0.2,ymax=2,%
xlabel=$x$,ylabel=$y$,zlabel=$z$,
xtick=empty,ytick=empty,ztick=empty]
addplot3[surf,shader=interp,domain=0.6:2,domain y=0.5:1.2,opacity=0.7]
f(x,y);
addplot3[thick,domain=0.6:2,samples y=1] (x,1.2,f(x,1.2));
draw[dashed] (1.75,0,0) node[above left]$x_0$ -- (1.75,1.2,0)
node[bullet] (b1) -- (0,1.2,0) node[above right]$y_0$
(1.75,1.2,0) -- (1.75,1.2,f(1.75,1.2))node[bullet] ;
draw (1.75,1.2,f(1.75,1.2)) -- (0.75,1.2,f(1.75,1.2)+0.5)
coordinate[pos=0.5] (aux1);
draw[opacity=0.5,upper left=gray!80!black,upper right=gray!60,
lower left=gray!60,lower right=gray!80!black] (2,1.2,0) -- (0.6,1.2,0)
-- (0.6,1.2,2.2) -- (2,1.2,2.2) -- cycle;
addplot3[surf,shader=interp,domain=0.6:2,domain y=1.2:1.9,opacity=0.7]
f(x,y);
endaxis
draw (aux1) -- ++ (-1,1) node[above,align=center]slope in $x$ direction\
$partial_xf(x,y);
node[anchor=north west] at (b1) $(x_0,y_0)$;
%
beginaxis[xshift=6.5cm,view=15045,colormap/blackwhite,axis lines=middle,%
zmax=2.2,zmin=0,xmin=-0.2,xmax=2.4,ymin=-0.2,ymax=2,%
xlabel=$x$,ylabel=$y$,zlabel=$z$,
xtick=empty,ytick=empty,ztick=empty]
addplot3[surf,shader=interp,domain=0.6:1.75,domain y=0.5:1.9,opacity=0.7]
f(x,y);
addplot3[thick,domain=0.5:1.9,samples y=1] (1.75,x,f(1.75,x));
draw[dashed] (1.75,0,0) node[above left]$x_0$ -- (1.75,1.2,0)
node[bullet] (b2)
-- (0,1.2,0) node[above right]$y_0$
(1.75,1.2,0) -- (1.75,1.2,f(1.75,1.2))node[bullet] ;
draw (1.75,1.2,f(1.75,1.2)) -- (1.75,0.2,f(1.75,1.2)+0.2)
coordinate[pos=0.5] (aux2);
draw[opacity=0.5,upper left=gray!80!black,upper right=gray!60,
lower left=gray!60,lower right=gray!80!black] (1.75,0.5,0) -- (1.75,1.9,0)
-- (1.75,1.9,2.2) -- (1.75,0.5,2.2) -- cycle;
addplot3[surf,shader=interp,domain=1.75:2,domain y=0.5:1.9,opacity=0.7]
f(x,y);
endaxis
draw (aux2) -- ++ (0.3,1) node[above,align=center]slope in $y$ direction\
$partial_yf(x,y);
node[anchor=north east] at (b2) $(x_0,y_0)$;
endtikzpicture
enddocument


enter image description here







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edited Mar 17 at 0:30

























answered Mar 16 at 18:14









marmotmarmot

118k6151284




118k6151284







  • 5





    excellent (+1).

    – ferahfeza
    Mar 16 at 19:13






  • 4





    Simply awesome.

    – Sebastiano
    Mar 16 at 20:17












  • 5





    excellent (+1).

    – ferahfeza
    Mar 16 at 19:13






  • 4





    Simply awesome.

    – Sebastiano
    Mar 16 at 20:17







5




5





excellent (+1).

– ferahfeza
Mar 16 at 19:13





excellent (+1).

– ferahfeza
Mar 16 at 19:13




4




4





Simply awesome.

– Sebastiano
Mar 16 at 20:17





Simply awesome.

– Sebastiano
Mar 16 at 20:17

















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