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Densest sphere packing


Sphere packing in a sphere diagramsDrawing tri-axial ellipsoid and intersecting it with a sphereDrawing vertical hierarchical n-ary tree in tikzDraw a hemisphere (or just a segment of a sphere)?Sphere Intersection using TikzDraw a colored sphere in TikzCircumference and sphere with latexGray shaded sphere with tikz-3dplotsphere and points in 3D - tikz or pstricks?Sphere packing in a sphere diagramsDraw a sphere with a handle with TikZ






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;








4















I would like to represent the densest sphere packing in dimension 3
as the following picture, for a beamer presentation.



Sphere packing



Is Tikz the way to go for it? It is not a real 3D drawing since I only want a fixed representation of the picture, right?



Thank you for your help.










share|improve this question







New contributor



Wokwok is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.














  • 3





    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
    8 hours ago











  • Welcome! Maybe this question is related?

    – marmot
    6 hours ago

















4















I would like to represent the densest sphere packing in dimension 3
as the following picture, for a beamer presentation.



Sphere packing



Is Tikz the way to go for it? It is not a real 3D drawing since I only want a fixed representation of the picture, right?



Thank you for your help.










share|improve this question







New contributor



Wokwok is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.














  • 3





    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
    8 hours ago











  • Welcome! Maybe this question is related?

    – marmot
    6 hours ago













4












4








4








I would like to represent the densest sphere packing in dimension 3
as the following picture, for a beamer presentation.



Sphere packing



Is Tikz the way to go for it? It is not a real 3D drawing since I only want a fixed representation of the picture, right?



Thank you for your help.










share|improve this question







New contributor



Wokwok is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











I would like to represent the densest sphere packing in dimension 3
as the following picture, for a beamer presentation.



Sphere packing



Is Tikz the way to go for it? It is not a real 3D drawing since I only want a fixed representation of the picture, right?



Thank you for your help.







tikz-pgf 3d






share|improve this question







New contributor



Wokwok is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.










share|improve this question







New contributor



Wokwok is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.








share|improve this question




share|improve this question






New contributor



Wokwok is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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asked 8 hours ago









WokwokWokwok

211




211




New contributor



Wokwok is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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New contributor




Wokwok is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









  • 3





    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
    8 hours ago











  • Welcome! Maybe this question is related?

    – marmot
    6 hours ago












  • 3





    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
    8 hours ago











  • Welcome! Maybe this question is related?

    – marmot
    6 hours ago







3




3





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
8 hours ago





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
8 hours ago













Welcome! Maybe this question is related?

– marmot
6 hours ago





Welcome! Maybe this question is related?

– marmot
6 hours ago










2 Answers
2






active

oldest

votes


















6














By nesting 2 for-loops one could do something like this:



documentclassarticle
usepackagetikz

begindocument
begintikzpicture
foreach x in 4,...,0
foreach y in x,...,4
draw[fill=white] (0.6*x,-y+0.3*x) circle (0.55) (-0.6*x,-y+0.3*x) circle (0.55);


endtikzpicture
enddocument


enter image description here






share|improve this answer










New contributor



Dynamite is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.



















  • I suggest you add back your previous answer feel free to cut / paste my visual comment since You need to garner the points (not I :-) then I can delete my comment

    – KJO
    6 hours ago











  • @KJO Please keep your answer, I very much prefer the compact syntax with the loops

    – Dynamite
    6 hours ago











  • @Dynamite Excellent :-) also the answer of KJO. Many sincere compliments.

    – Sebastiano
    6 hours ago











  • Beautiful and elegant, very nicely done

    – cmhughes
    5 hours ago











  • Nice! (You could replace the inner loop by foreach y [evaluate=y as z using int(mod(x+y,2)+mod(y,2))] in x,...,4 draw[fill=white] ifnumz=0 [fill=blue!10] fi (0.6*x,-y+0.3*x) circle (0.55) (-0.6*x,-y+0.3*x) circle (0.55); ...)

    – marmot
    5 hours ago


















4














I preferred Dynamite's previous alternative attempt as much easier to play with.
Please accept their answer since this is just a visual comment about their previous answer which I think should have included both options.



Output



documentclassarticle
usepackagetikz
begindocument

begintikzpicture

draw[fill=cyan!20!white] (-2.8,1.2) circle (0.6);
draw[fill=cyan!20!white] (2.4,1.6) circle (0.6);

draw[fill=white] (-2.2,1.9) circle (0.6);
draw[fill=white] (-2.1,0.9) circle (0.6);

draw[fill=white] (1.7,2.2) circle (0.6);
draw[fill=white] (1.8,1.2) circle (0.6);


draw[fill=cyan!20!white] (-1.6,2.6) circle (0.6);
draw[fill=white] (-1.5,1.6) circle (0.6);
draw[fill=cyan!20!white] (-1.4,0.6) circle (0.6);

draw[fill=cyan!20!white] (1.0,2.8) circle (0.6);
draw[fill=white] (1.1,1.8) circle (0.6);
draw[fill=cyan!20!white] (1.2,0.8) circle (0.6);


draw[fill=white] (-1.0,3.3) circle (0.6);
draw[fill=white] (-0.9,2.3) circle (0.6);
draw[fill=white] (-0.8,1.3) circle (0.6);
draw[fill=white] (-0.7,0.3) circle (0.6);

draw[fill=white] (0.3,3.4) circle (0.6);
draw[fill=white] (0.4,2.4) circle (0.6);
draw[fill=white] (0.5,1.4) circle (0.6);
draw[fill=white] (0.6,0.4) circle (0.6);


draw[fill=cyan!20!white] (-0.4,4) circle (0.6);
draw[fill=white] (-0.3,3) circle (0.6);
draw[fill=cyan!20!white] (-0.2,2) circle (0.6);
draw[fill=white] (-0.1,1) circle (0.6);
draw[fill=cyan!20!white] (0,0) circle (0.6);
endtikzpicture
enddocument





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    2 Answers
    2






    active

    oldest

    votes








    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    6














    By nesting 2 for-loops one could do something like this:



    documentclassarticle
    usepackagetikz

    begindocument
    begintikzpicture
    foreach x in 4,...,0
    foreach y in x,...,4
    draw[fill=white] (0.6*x,-y+0.3*x) circle (0.55) (-0.6*x,-y+0.3*x) circle (0.55);


    endtikzpicture
    enddocument


    enter image description here






    share|improve this answer










    New contributor



    Dynamite is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.



















    • I suggest you add back your previous answer feel free to cut / paste my visual comment since You need to garner the points (not I :-) then I can delete my comment

      – KJO
      6 hours ago











    • @KJO Please keep your answer, I very much prefer the compact syntax with the loops

      – Dynamite
      6 hours ago











    • @Dynamite Excellent :-) also the answer of KJO. Many sincere compliments.

      – Sebastiano
      6 hours ago











    • Beautiful and elegant, very nicely done

      – cmhughes
      5 hours ago











    • Nice! (You could replace the inner loop by foreach y [evaluate=y as z using int(mod(x+y,2)+mod(y,2))] in x,...,4 draw[fill=white] ifnumz=0 [fill=blue!10] fi (0.6*x,-y+0.3*x) circle (0.55) (-0.6*x,-y+0.3*x) circle (0.55); ...)

      – marmot
      5 hours ago















    6














    By nesting 2 for-loops one could do something like this:



    documentclassarticle
    usepackagetikz

    begindocument
    begintikzpicture
    foreach x in 4,...,0
    foreach y in x,...,4
    draw[fill=white] (0.6*x,-y+0.3*x) circle (0.55) (-0.6*x,-y+0.3*x) circle (0.55);


    endtikzpicture
    enddocument


    enter image description here






    share|improve this answer










    New contributor



    Dynamite is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.



















    • I suggest you add back your previous answer feel free to cut / paste my visual comment since You need to garner the points (not I :-) then I can delete my comment

      – KJO
      6 hours ago











    • @KJO Please keep your answer, I very much prefer the compact syntax with the loops

      – Dynamite
      6 hours ago











    • @Dynamite Excellent :-) also the answer of KJO. Many sincere compliments.

      – Sebastiano
      6 hours ago











    • Beautiful and elegant, very nicely done

      – cmhughes
      5 hours ago











    • Nice! (You could replace the inner loop by foreach y [evaluate=y as z using int(mod(x+y,2)+mod(y,2))] in x,...,4 draw[fill=white] ifnumz=0 [fill=blue!10] fi (0.6*x,-y+0.3*x) circle (0.55) (-0.6*x,-y+0.3*x) circle (0.55); ...)

      – marmot
      5 hours ago













    6












    6








    6







    By nesting 2 for-loops one could do something like this:



    documentclassarticle
    usepackagetikz

    begindocument
    begintikzpicture
    foreach x in 4,...,0
    foreach y in x,...,4
    draw[fill=white] (0.6*x,-y+0.3*x) circle (0.55) (-0.6*x,-y+0.3*x) circle (0.55);


    endtikzpicture
    enddocument


    enter image description here






    share|improve this answer










    New contributor



    Dynamite is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.









    By nesting 2 for-loops one could do something like this:



    documentclassarticle
    usepackagetikz

    begindocument
    begintikzpicture
    foreach x in 4,...,0
    foreach y in x,...,4
    draw[fill=white] (0.6*x,-y+0.3*x) circle (0.55) (-0.6*x,-y+0.3*x) circle (0.55);


    endtikzpicture
    enddocument


    enter image description here







    share|improve this answer










    New contributor



    Dynamite is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.








    share|improve this answer



    share|improve this answer








    edited 6 hours ago





















    New contributor



    Dynamite is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.








    answered 8 hours ago









    DynamiteDynamite

    1576




    1576




    New contributor



    Dynamite is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.




    New contributor




    Dynamite is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.














    • I suggest you add back your previous answer feel free to cut / paste my visual comment since You need to garner the points (not I :-) then I can delete my comment

      – KJO
      6 hours ago











    • @KJO Please keep your answer, I very much prefer the compact syntax with the loops

      – Dynamite
      6 hours ago











    • @Dynamite Excellent :-) also the answer of KJO. Many sincere compliments.

      – Sebastiano
      6 hours ago











    • Beautiful and elegant, very nicely done

      – cmhughes
      5 hours ago











    • Nice! (You could replace the inner loop by foreach y [evaluate=y as z using int(mod(x+y,2)+mod(y,2))] in x,...,4 draw[fill=white] ifnumz=0 [fill=blue!10] fi (0.6*x,-y+0.3*x) circle (0.55) (-0.6*x,-y+0.3*x) circle (0.55); ...)

      – marmot
      5 hours ago

















    • I suggest you add back your previous answer feel free to cut / paste my visual comment since You need to garner the points (not I :-) then I can delete my comment

      – KJO
      6 hours ago











    • @KJO Please keep your answer, I very much prefer the compact syntax with the loops

      – Dynamite
      6 hours ago











    • @Dynamite Excellent :-) also the answer of KJO. Many sincere compliments.

      – Sebastiano
      6 hours ago











    • Beautiful and elegant, very nicely done

      – cmhughes
      5 hours ago











    • Nice! (You could replace the inner loop by foreach y [evaluate=y as z using int(mod(x+y,2)+mod(y,2))] in x,...,4 draw[fill=white] ifnumz=0 [fill=blue!10] fi (0.6*x,-y+0.3*x) circle (0.55) (-0.6*x,-y+0.3*x) circle (0.55); ...)

      – marmot
      5 hours ago
















    I suggest you add back your previous answer feel free to cut / paste my visual comment since You need to garner the points (not I :-) then I can delete my comment

    – KJO
    6 hours ago





    I suggest you add back your previous answer feel free to cut / paste my visual comment since You need to garner the points (not I :-) then I can delete my comment

    – KJO
    6 hours ago













    @KJO Please keep your answer, I very much prefer the compact syntax with the loops

    – Dynamite
    6 hours ago





    @KJO Please keep your answer, I very much prefer the compact syntax with the loops

    – Dynamite
    6 hours ago













    @Dynamite Excellent :-) also the answer of KJO. Many sincere compliments.

    – Sebastiano
    6 hours ago





    @Dynamite Excellent :-) also the answer of KJO. Many sincere compliments.

    – Sebastiano
    6 hours ago













    Beautiful and elegant, very nicely done

    – cmhughes
    5 hours ago





    Beautiful and elegant, very nicely done

    – cmhughes
    5 hours ago













    Nice! (You could replace the inner loop by foreach y [evaluate=y as z using int(mod(x+y,2)+mod(y,2))] in x,...,4 draw[fill=white] ifnumz=0 [fill=blue!10] fi (0.6*x,-y+0.3*x) circle (0.55) (-0.6*x,-y+0.3*x) circle (0.55); ...)

    – marmot
    5 hours ago





    Nice! (You could replace the inner loop by foreach y [evaluate=y as z using int(mod(x+y,2)+mod(y,2))] in x,...,4 draw[fill=white] ifnumz=0 [fill=blue!10] fi (0.6*x,-y+0.3*x) circle (0.55) (-0.6*x,-y+0.3*x) circle (0.55); ...)

    – marmot
    5 hours ago













    4














    I preferred Dynamite's previous alternative attempt as much easier to play with.
    Please accept their answer since this is just a visual comment about their previous answer which I think should have included both options.



    Output



    documentclassarticle
    usepackagetikz
    begindocument

    begintikzpicture

    draw[fill=cyan!20!white] (-2.8,1.2) circle (0.6);
    draw[fill=cyan!20!white] (2.4,1.6) circle (0.6);

    draw[fill=white] (-2.2,1.9) circle (0.6);
    draw[fill=white] (-2.1,0.9) circle (0.6);

    draw[fill=white] (1.7,2.2) circle (0.6);
    draw[fill=white] (1.8,1.2) circle (0.6);


    draw[fill=cyan!20!white] (-1.6,2.6) circle (0.6);
    draw[fill=white] (-1.5,1.6) circle (0.6);
    draw[fill=cyan!20!white] (-1.4,0.6) circle (0.6);

    draw[fill=cyan!20!white] (1.0,2.8) circle (0.6);
    draw[fill=white] (1.1,1.8) circle (0.6);
    draw[fill=cyan!20!white] (1.2,0.8) circle (0.6);


    draw[fill=white] (-1.0,3.3) circle (0.6);
    draw[fill=white] (-0.9,2.3) circle (0.6);
    draw[fill=white] (-0.8,1.3) circle (0.6);
    draw[fill=white] (-0.7,0.3) circle (0.6);

    draw[fill=white] (0.3,3.4) circle (0.6);
    draw[fill=white] (0.4,2.4) circle (0.6);
    draw[fill=white] (0.5,1.4) circle (0.6);
    draw[fill=white] (0.6,0.4) circle (0.6);


    draw[fill=cyan!20!white] (-0.4,4) circle (0.6);
    draw[fill=white] (-0.3,3) circle (0.6);
    draw[fill=cyan!20!white] (-0.2,2) circle (0.6);
    draw[fill=white] (-0.1,1) circle (0.6);
    draw[fill=cyan!20!white] (0,0) circle (0.6);
    endtikzpicture
    enddocument





    share|improve this answer





























      4














      I preferred Dynamite's previous alternative attempt as much easier to play with.
      Please accept their answer since this is just a visual comment about their previous answer which I think should have included both options.



      Output



      documentclassarticle
      usepackagetikz
      begindocument

      begintikzpicture

      draw[fill=cyan!20!white] (-2.8,1.2) circle (0.6);
      draw[fill=cyan!20!white] (2.4,1.6) circle (0.6);

      draw[fill=white] (-2.2,1.9) circle (0.6);
      draw[fill=white] (-2.1,0.9) circle (0.6);

      draw[fill=white] (1.7,2.2) circle (0.6);
      draw[fill=white] (1.8,1.2) circle (0.6);


      draw[fill=cyan!20!white] (-1.6,2.6) circle (0.6);
      draw[fill=white] (-1.5,1.6) circle (0.6);
      draw[fill=cyan!20!white] (-1.4,0.6) circle (0.6);

      draw[fill=cyan!20!white] (1.0,2.8) circle (0.6);
      draw[fill=white] (1.1,1.8) circle (0.6);
      draw[fill=cyan!20!white] (1.2,0.8) circle (0.6);


      draw[fill=white] (-1.0,3.3) circle (0.6);
      draw[fill=white] (-0.9,2.3) circle (0.6);
      draw[fill=white] (-0.8,1.3) circle (0.6);
      draw[fill=white] (-0.7,0.3) circle (0.6);

      draw[fill=white] (0.3,3.4) circle (0.6);
      draw[fill=white] (0.4,2.4) circle (0.6);
      draw[fill=white] (0.5,1.4) circle (0.6);
      draw[fill=white] (0.6,0.4) circle (0.6);


      draw[fill=cyan!20!white] (-0.4,4) circle (0.6);
      draw[fill=white] (-0.3,3) circle (0.6);
      draw[fill=cyan!20!white] (-0.2,2) circle (0.6);
      draw[fill=white] (-0.1,1) circle (0.6);
      draw[fill=cyan!20!white] (0,0) circle (0.6);
      endtikzpicture
      enddocument





      share|improve this answer



























        4












        4








        4







        I preferred Dynamite's previous alternative attempt as much easier to play with.
        Please accept their answer since this is just a visual comment about their previous answer which I think should have included both options.



        Output



        documentclassarticle
        usepackagetikz
        begindocument

        begintikzpicture

        draw[fill=cyan!20!white] (-2.8,1.2) circle (0.6);
        draw[fill=cyan!20!white] (2.4,1.6) circle (0.6);

        draw[fill=white] (-2.2,1.9) circle (0.6);
        draw[fill=white] (-2.1,0.9) circle (0.6);

        draw[fill=white] (1.7,2.2) circle (0.6);
        draw[fill=white] (1.8,1.2) circle (0.6);


        draw[fill=cyan!20!white] (-1.6,2.6) circle (0.6);
        draw[fill=white] (-1.5,1.6) circle (0.6);
        draw[fill=cyan!20!white] (-1.4,0.6) circle (0.6);

        draw[fill=cyan!20!white] (1.0,2.8) circle (0.6);
        draw[fill=white] (1.1,1.8) circle (0.6);
        draw[fill=cyan!20!white] (1.2,0.8) circle (0.6);


        draw[fill=white] (-1.0,3.3) circle (0.6);
        draw[fill=white] (-0.9,2.3) circle (0.6);
        draw[fill=white] (-0.8,1.3) circle (0.6);
        draw[fill=white] (-0.7,0.3) circle (0.6);

        draw[fill=white] (0.3,3.4) circle (0.6);
        draw[fill=white] (0.4,2.4) circle (0.6);
        draw[fill=white] (0.5,1.4) circle (0.6);
        draw[fill=white] (0.6,0.4) circle (0.6);


        draw[fill=cyan!20!white] (-0.4,4) circle (0.6);
        draw[fill=white] (-0.3,3) circle (0.6);
        draw[fill=cyan!20!white] (-0.2,2) circle (0.6);
        draw[fill=white] (-0.1,1) circle (0.6);
        draw[fill=cyan!20!white] (0,0) circle (0.6);
        endtikzpicture
        enddocument





        share|improve this answer















        I preferred Dynamite's previous alternative attempt as much easier to play with.
        Please accept their answer since this is just a visual comment about their previous answer which I think should have included both options.



        Output



        documentclassarticle
        usepackagetikz
        begindocument

        begintikzpicture

        draw[fill=cyan!20!white] (-2.8,1.2) circle (0.6);
        draw[fill=cyan!20!white] (2.4,1.6) circle (0.6);

        draw[fill=white] (-2.2,1.9) circle (0.6);
        draw[fill=white] (-2.1,0.9) circle (0.6);

        draw[fill=white] (1.7,2.2) circle (0.6);
        draw[fill=white] (1.8,1.2) circle (0.6);


        draw[fill=cyan!20!white] (-1.6,2.6) circle (0.6);
        draw[fill=white] (-1.5,1.6) circle (0.6);
        draw[fill=cyan!20!white] (-1.4,0.6) circle (0.6);

        draw[fill=cyan!20!white] (1.0,2.8) circle (0.6);
        draw[fill=white] (1.1,1.8) circle (0.6);
        draw[fill=cyan!20!white] (1.2,0.8) circle (0.6);


        draw[fill=white] (-1.0,3.3) circle (0.6);
        draw[fill=white] (-0.9,2.3) circle (0.6);
        draw[fill=white] (-0.8,1.3) circle (0.6);
        draw[fill=white] (-0.7,0.3) circle (0.6);

        draw[fill=white] (0.3,3.4) circle (0.6);
        draw[fill=white] (0.4,2.4) circle (0.6);
        draw[fill=white] (0.5,1.4) circle (0.6);
        draw[fill=white] (0.6,0.4) circle (0.6);


        draw[fill=cyan!20!white] (-0.4,4) circle (0.6);
        draw[fill=white] (-0.3,3) circle (0.6);
        draw[fill=cyan!20!white] (-0.2,2) circle (0.6);
        draw[fill=white] (-0.1,1) circle (0.6);
        draw[fill=cyan!20!white] (0,0) circle (0.6);
        endtikzpicture
        enddocument






        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited 7 hours ago









        M. Al Jumaily

        1,5461214




        1,5461214










        answered 7 hours ago









        KJOKJO

        5,6371427




        5,6371427




















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