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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;
I would like to represent the densest sphere packing in dimension 3
as the following picture, for a beamer presentation.
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
New contributor
add a comment |
I would like to represent the densest sphere packing in dimension 3
as the following picture, for a beamer presentation.
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
New contributor
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
add a comment |
I would like to represent the densest sphere packing in dimension 3
as the following picture, for a beamer presentation.
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
New contributor
I would like to represent the densest sphere packing in dimension 3
as the following picture, for a beamer presentation.
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
tikz-pgf 3d
New contributor
New contributor
New contributor
asked 8 hours ago
WokwokWokwok
211
211
New contributor
New contributor
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
add a comment |
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
add a comment |
2 Answers
2
active
oldest
votes
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
New contributor
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 byforeach 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
add a comment |
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.
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
add a comment |
Your Answer
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
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
New contributor
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 byforeach 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
add a comment |
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
New contributor
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 byforeach 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
add a comment |
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
New contributor
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
New contributor
edited 6 hours ago
New contributor
answered 8 hours ago
DynamiteDynamite
1576
1576
New contributor
New contributor
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 byforeach 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
add a comment |
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 byforeach 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
add a comment |
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.
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
add a comment |
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.
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
add a comment |
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.
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
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.
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
edited 7 hours ago
M. Al Jumaily
1,5461214
1,5461214
answered 7 hours ago
KJOKJO
5,6371427
5,6371427
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Wokwok is a new contributor. Be nice, and check out our Code of Conduct.
Wokwok is a new contributor. Be nice, and check out our Code of Conduct.
Wokwok is a new contributor. Be nice, and check out our Code of Conduct.
Wokwok is a new contributor. Be nice, and check out our Code of Conduct.
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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