Straighten subgroup lattice
I would like to straighten out the top node and the bottom node so that they create a more tidy lattice. I found this post here, but I wasn't able to follow what was going on.
I just think that my subgroup diagram can be a bit...neater. For example, here is what my book's diagram looks like. How do I get my diagram to look more like the book diagram?
documentclass[12pt]{article}
usepackage{tikz}
usetikzlibrary{positioning}
usepackage{amsfonts}
begin{document}
begin{figure}
centering
newcommand{mydistance}{.6cm}
begin{tikzpicture}[node distance=1.5cm]
title{Subgroup Diagram of $Z_{12}$}
node(A1) {$langle 12 rangle = mathbb{Z}_{12}$};
node(A2) [below left of= A1] {$langle 6 rangle$};
node(A3) [right of=A2] {$langle 4 rangle$};
node(A4) [below left of=A2] {$langle 3 rangle$};
node(A5) [below left of=A3] {$langle 2 rangle$};
node(A6) [below right of=A4] {$langle 1 rangle$};
draw(A1) -- (A2);
draw(A1) -- (A3);
draw(A2) -- (A4);
draw(A2) -- (A5);
draw(A3) -- (A5);
draw(A4) -- (A6);
draw(A5) -- (A6);
end{tikzpicture}
caption{Subgroup Diagram of $mathbb{Z}_{12}$}
end{figure}
end{document}
tikz-pgf nodes
New contributor
add a comment |
I would like to straighten out the top node and the bottom node so that they create a more tidy lattice. I found this post here, but I wasn't able to follow what was going on.
I just think that my subgroup diagram can be a bit...neater. For example, here is what my book's diagram looks like. How do I get my diagram to look more like the book diagram?
documentclass[12pt]{article}
usepackage{tikz}
usetikzlibrary{positioning}
usepackage{amsfonts}
begin{document}
begin{figure}
centering
newcommand{mydistance}{.6cm}
begin{tikzpicture}[node distance=1.5cm]
title{Subgroup Diagram of $Z_{12}$}
node(A1) {$langle 12 rangle = mathbb{Z}_{12}$};
node(A2) [below left of= A1] {$langle 6 rangle$};
node(A3) [right of=A2] {$langle 4 rangle$};
node(A4) [below left of=A2] {$langle 3 rangle$};
node(A5) [below left of=A3] {$langle 2 rangle$};
node(A6) [below right of=A4] {$langle 1 rangle$};
draw(A1) -- (A2);
draw(A1) -- (A3);
draw(A2) -- (A4);
draw(A2) -- (A5);
draw(A3) -- (A5);
draw(A4) -- (A6);
draw(A5) -- (A6);
end{tikzpicture}
caption{Subgroup Diagram of $mathbb{Z}_{12}$}
end{figure}
end{document}
tikz-pgf nodes
New contributor
add a comment |
I would like to straighten out the top node and the bottom node so that they create a more tidy lattice. I found this post here, but I wasn't able to follow what was going on.
I just think that my subgroup diagram can be a bit...neater. For example, here is what my book's diagram looks like. How do I get my diagram to look more like the book diagram?
documentclass[12pt]{article}
usepackage{tikz}
usetikzlibrary{positioning}
usepackage{amsfonts}
begin{document}
begin{figure}
centering
newcommand{mydistance}{.6cm}
begin{tikzpicture}[node distance=1.5cm]
title{Subgroup Diagram of $Z_{12}$}
node(A1) {$langle 12 rangle = mathbb{Z}_{12}$};
node(A2) [below left of= A1] {$langle 6 rangle$};
node(A3) [right of=A2] {$langle 4 rangle$};
node(A4) [below left of=A2] {$langle 3 rangle$};
node(A5) [below left of=A3] {$langle 2 rangle$};
node(A6) [below right of=A4] {$langle 1 rangle$};
draw(A1) -- (A2);
draw(A1) -- (A3);
draw(A2) -- (A4);
draw(A2) -- (A5);
draw(A3) -- (A5);
draw(A4) -- (A6);
draw(A5) -- (A6);
end{tikzpicture}
caption{Subgroup Diagram of $mathbb{Z}_{12}$}
end{figure}
end{document}
tikz-pgf nodes
New contributor
I would like to straighten out the top node and the bottom node so that they create a more tidy lattice. I found this post here, but I wasn't able to follow what was going on.
I just think that my subgroup diagram can be a bit...neater. For example, here is what my book's diagram looks like. How do I get my diagram to look more like the book diagram?
documentclass[12pt]{article}
usepackage{tikz}
usetikzlibrary{positioning}
usepackage{amsfonts}
begin{document}
begin{figure}
centering
newcommand{mydistance}{.6cm}
begin{tikzpicture}[node distance=1.5cm]
title{Subgroup Diagram of $Z_{12}$}
node(A1) {$langle 12 rangle = mathbb{Z}_{12}$};
node(A2) [below left of= A1] {$langle 6 rangle$};
node(A3) [right of=A2] {$langle 4 rangle$};
node(A4) [below left of=A2] {$langle 3 rangle$};
node(A5) [below left of=A3] {$langle 2 rangle$};
node(A6) [below right of=A4] {$langle 1 rangle$};
draw(A1) -- (A2);
draw(A1) -- (A3);
draw(A2) -- (A4);
draw(A2) -- (A5);
draw(A3) -- (A5);
draw(A4) -- (A6);
draw(A5) -- (A6);
end{tikzpicture}
caption{Subgroup Diagram of $mathbb{Z}_{12}$}
end{figure}
end{document}
tikz-pgf nodes
tikz-pgf nodes
New contributor
New contributor
New contributor
asked yesterday
Evan KimEvan Kim
1333
1333
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add a comment |
2 Answers
2
active
oldest
votes
Be careful with such positioning options!
documentclass[tikz]{standalone}
usepackage{amssymb}
usetikzlibrary{positioning}
begin{document}
begin{tikzpicture}[every node/.style={inner sep=1pt},node distance=1.5cm]
node(A1) {$langle 12 rangle$};
node(A2) [below left of= A1] {$langle 6 rangle$};
node(A3) [below right of=A1] {$langle 4 rangle$};
node(A4) [below left of=A2] {$langle 3 rangle$};
node(A5) [below left of=A3] {$langle 2 rangle$};
node(A6) [below right of=A4] {$langle 1 rangle$};
node[right=0pt of A1,inner xsep=0pt] {$= mathbb{Z}_{12}$};
draw(A1) -- (A2);
draw(A1) -- (A3);
draw(A2) -- (A4);
draw(A2) -- (A5);
draw(A3) -- (A5);
draw(A4) -- (A6);
draw(A5) -- (A6);
end{tikzpicture}
end{document}
what does[every node/.style={inner sep=1pt},node distance=1.5cm]
do afterbegin{tikzpicture}
?
– Evan Kim
yesterday
@EvanKimnode distance
is already there.every node
set the style for every nodes inside the picture, here I use optioninner sep
for every nodes. To know what this option does, simply change it to e.g.2pt
or1ex
, etc.
– JouleV
yesterday
add a comment |
I love positioning
but may not necessarily use it when things should be on a grid.
documentclass[12pt]{article}
usepackage{tikz}
usepackage{amsfonts}
title{Subgroup Diagram of $Z_{12}$}
begin{document}
begin{figure}
centering
begin{tikzpicture}
begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
shape=false}]
draw (0,0) grid (2,1);
path (2,1) node (A1) {$langle 12 rangle = mathbb{Z}_{12}$}
(1,1) node (A2) {$langle 6 rangle$}
(0,1) node (A3) {$langle 3 rangle$}
(2,0) node (A4) {$langle 4 rangle$}
(1,0) node (A5) {$langle 2 rangle$}
(0,0) node (A6) {$langle 1 rangle$};
end{scope}
end{tikzpicture}
caption{Subgroup Diagram of $mathbb{Z}_{12}$}
end{figure}
end{document}
Or for Joule V ;-)
documentclass[12pt]{article}
usepackage{tikz}
usepackage{amsfonts}
title{Subgroup Diagram of $Z_{12}$}
begin{document}
begin{figure}
centering
begin{tikzpicture}
begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
shape=false}]
draw (0,0) grid (2,1);
path (2,1) node[text width=2em] (A1) {${langle 12 rangle=mathbb{Z}_{12}}$}
(1,1) node (A2) {$langle 6 rangle$}
(0,1) node (A3) {$langle 3 rangle$}
(2,0) node (A4) {$langle 4 rangle$}
(1,0) node (A5) {$langle 2 rangle$}
(0,0) node (A6) {$langle 1 rangle$};
end{scope}
end{tikzpicture}
caption{Subgroup Diagram of $mathbb{Z}_{12}$}
end{figure}
end{document}
I think onlylangle 12 rangle
should be in the grid, notlangle 12 rangle = mathbb{Z}_{12}
.
– JouleV
yesterday
@JouleV Thanks, maybe it should. Personally I find this clearer because these are the Z_N subgroups of Z_12.
– marmot
yesterday
add a comment |
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2 Answers
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2 Answers
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Be careful with such positioning options!
documentclass[tikz]{standalone}
usepackage{amssymb}
usetikzlibrary{positioning}
begin{document}
begin{tikzpicture}[every node/.style={inner sep=1pt},node distance=1.5cm]
node(A1) {$langle 12 rangle$};
node(A2) [below left of= A1] {$langle 6 rangle$};
node(A3) [below right of=A1] {$langle 4 rangle$};
node(A4) [below left of=A2] {$langle 3 rangle$};
node(A5) [below left of=A3] {$langle 2 rangle$};
node(A6) [below right of=A4] {$langle 1 rangle$};
node[right=0pt of A1,inner xsep=0pt] {$= mathbb{Z}_{12}$};
draw(A1) -- (A2);
draw(A1) -- (A3);
draw(A2) -- (A4);
draw(A2) -- (A5);
draw(A3) -- (A5);
draw(A4) -- (A6);
draw(A5) -- (A6);
end{tikzpicture}
end{document}
what does[every node/.style={inner sep=1pt},node distance=1.5cm]
do afterbegin{tikzpicture}
?
– Evan Kim
yesterday
@EvanKimnode distance
is already there.every node
set the style for every nodes inside the picture, here I use optioninner sep
for every nodes. To know what this option does, simply change it to e.g.2pt
or1ex
, etc.
– JouleV
yesterday
add a comment |
Be careful with such positioning options!
documentclass[tikz]{standalone}
usepackage{amssymb}
usetikzlibrary{positioning}
begin{document}
begin{tikzpicture}[every node/.style={inner sep=1pt},node distance=1.5cm]
node(A1) {$langle 12 rangle$};
node(A2) [below left of= A1] {$langle 6 rangle$};
node(A3) [below right of=A1] {$langle 4 rangle$};
node(A4) [below left of=A2] {$langle 3 rangle$};
node(A5) [below left of=A3] {$langle 2 rangle$};
node(A6) [below right of=A4] {$langle 1 rangle$};
node[right=0pt of A1,inner xsep=0pt] {$= mathbb{Z}_{12}$};
draw(A1) -- (A2);
draw(A1) -- (A3);
draw(A2) -- (A4);
draw(A2) -- (A5);
draw(A3) -- (A5);
draw(A4) -- (A6);
draw(A5) -- (A6);
end{tikzpicture}
end{document}
what does[every node/.style={inner sep=1pt},node distance=1.5cm]
do afterbegin{tikzpicture}
?
– Evan Kim
yesterday
@EvanKimnode distance
is already there.every node
set the style for every nodes inside the picture, here I use optioninner sep
for every nodes. To know what this option does, simply change it to e.g.2pt
or1ex
, etc.
– JouleV
yesterday
add a comment |
Be careful with such positioning options!
documentclass[tikz]{standalone}
usepackage{amssymb}
usetikzlibrary{positioning}
begin{document}
begin{tikzpicture}[every node/.style={inner sep=1pt},node distance=1.5cm]
node(A1) {$langle 12 rangle$};
node(A2) [below left of= A1] {$langle 6 rangle$};
node(A3) [below right of=A1] {$langle 4 rangle$};
node(A4) [below left of=A2] {$langle 3 rangle$};
node(A5) [below left of=A3] {$langle 2 rangle$};
node(A6) [below right of=A4] {$langle 1 rangle$};
node[right=0pt of A1,inner xsep=0pt] {$= mathbb{Z}_{12}$};
draw(A1) -- (A2);
draw(A1) -- (A3);
draw(A2) -- (A4);
draw(A2) -- (A5);
draw(A3) -- (A5);
draw(A4) -- (A6);
draw(A5) -- (A6);
end{tikzpicture}
end{document}
Be careful with such positioning options!
documentclass[tikz]{standalone}
usepackage{amssymb}
usetikzlibrary{positioning}
begin{document}
begin{tikzpicture}[every node/.style={inner sep=1pt},node distance=1.5cm]
node(A1) {$langle 12 rangle$};
node(A2) [below left of= A1] {$langle 6 rangle$};
node(A3) [below right of=A1] {$langle 4 rangle$};
node(A4) [below left of=A2] {$langle 3 rangle$};
node(A5) [below left of=A3] {$langle 2 rangle$};
node(A6) [below right of=A4] {$langle 1 rangle$};
node[right=0pt of A1,inner xsep=0pt] {$= mathbb{Z}_{12}$};
draw(A1) -- (A2);
draw(A1) -- (A3);
draw(A2) -- (A4);
draw(A2) -- (A5);
draw(A3) -- (A5);
draw(A4) -- (A6);
draw(A5) -- (A6);
end{tikzpicture}
end{document}
answered yesterday
JouleVJouleV
13k22663
13k22663
what does[every node/.style={inner sep=1pt},node distance=1.5cm]
do afterbegin{tikzpicture}
?
– Evan Kim
yesterday
@EvanKimnode distance
is already there.every node
set the style for every nodes inside the picture, here I use optioninner sep
for every nodes. To know what this option does, simply change it to e.g.2pt
or1ex
, etc.
– JouleV
yesterday
add a comment |
what does[every node/.style={inner sep=1pt},node distance=1.5cm]
do afterbegin{tikzpicture}
?
– Evan Kim
yesterday
@EvanKimnode distance
is already there.every node
set the style for every nodes inside the picture, here I use optioninner sep
for every nodes. To know what this option does, simply change it to e.g.2pt
or1ex
, etc.
– JouleV
yesterday
what does
[every node/.style={inner sep=1pt},node distance=1.5cm]
do after begin{tikzpicture}
?– Evan Kim
yesterday
what does
[every node/.style={inner sep=1pt},node distance=1.5cm]
do after begin{tikzpicture}
?– Evan Kim
yesterday
@EvanKim
node distance
is already there. every node
set the style for every nodes inside the picture, here I use option inner sep
for every nodes. To know what this option does, simply change it to e.g. 2pt
or 1ex
, etc.– JouleV
yesterday
@EvanKim
node distance
is already there. every node
set the style for every nodes inside the picture, here I use option inner sep
for every nodes. To know what this option does, simply change it to e.g. 2pt
or 1ex
, etc.– JouleV
yesterday
add a comment |
I love positioning
but may not necessarily use it when things should be on a grid.
documentclass[12pt]{article}
usepackage{tikz}
usepackage{amsfonts}
title{Subgroup Diagram of $Z_{12}$}
begin{document}
begin{figure}
centering
begin{tikzpicture}
begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
shape=false}]
draw (0,0) grid (2,1);
path (2,1) node (A1) {$langle 12 rangle = mathbb{Z}_{12}$}
(1,1) node (A2) {$langle 6 rangle$}
(0,1) node (A3) {$langle 3 rangle$}
(2,0) node (A4) {$langle 4 rangle$}
(1,0) node (A5) {$langle 2 rangle$}
(0,0) node (A6) {$langle 1 rangle$};
end{scope}
end{tikzpicture}
caption{Subgroup Diagram of $mathbb{Z}_{12}$}
end{figure}
end{document}
Or for Joule V ;-)
documentclass[12pt]{article}
usepackage{tikz}
usepackage{amsfonts}
title{Subgroup Diagram of $Z_{12}$}
begin{document}
begin{figure}
centering
begin{tikzpicture}
begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
shape=false}]
draw (0,0) grid (2,1);
path (2,1) node[text width=2em] (A1) {${langle 12 rangle=mathbb{Z}_{12}}$}
(1,1) node (A2) {$langle 6 rangle$}
(0,1) node (A3) {$langle 3 rangle$}
(2,0) node (A4) {$langle 4 rangle$}
(1,0) node (A5) {$langle 2 rangle$}
(0,0) node (A6) {$langle 1 rangle$};
end{scope}
end{tikzpicture}
caption{Subgroup Diagram of $mathbb{Z}_{12}$}
end{figure}
end{document}
I think onlylangle 12 rangle
should be in the grid, notlangle 12 rangle = mathbb{Z}_{12}
.
– JouleV
yesterday
@JouleV Thanks, maybe it should. Personally I find this clearer because these are the Z_N subgroups of Z_12.
– marmot
yesterday
add a comment |
I love positioning
but may not necessarily use it when things should be on a grid.
documentclass[12pt]{article}
usepackage{tikz}
usepackage{amsfonts}
title{Subgroup Diagram of $Z_{12}$}
begin{document}
begin{figure}
centering
begin{tikzpicture}
begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
shape=false}]
draw (0,0) grid (2,1);
path (2,1) node (A1) {$langle 12 rangle = mathbb{Z}_{12}$}
(1,1) node (A2) {$langle 6 rangle$}
(0,1) node (A3) {$langle 3 rangle$}
(2,0) node (A4) {$langle 4 rangle$}
(1,0) node (A5) {$langle 2 rangle$}
(0,0) node (A6) {$langle 1 rangle$};
end{scope}
end{tikzpicture}
caption{Subgroup Diagram of $mathbb{Z}_{12}$}
end{figure}
end{document}
Or for Joule V ;-)
documentclass[12pt]{article}
usepackage{tikz}
usepackage{amsfonts}
title{Subgroup Diagram of $Z_{12}$}
begin{document}
begin{figure}
centering
begin{tikzpicture}
begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
shape=false}]
draw (0,0) grid (2,1);
path (2,1) node[text width=2em] (A1) {${langle 12 rangle=mathbb{Z}_{12}}$}
(1,1) node (A2) {$langle 6 rangle$}
(0,1) node (A3) {$langle 3 rangle$}
(2,0) node (A4) {$langle 4 rangle$}
(1,0) node (A5) {$langle 2 rangle$}
(0,0) node (A6) {$langle 1 rangle$};
end{scope}
end{tikzpicture}
caption{Subgroup Diagram of $mathbb{Z}_{12}$}
end{figure}
end{document}
I think onlylangle 12 rangle
should be in the grid, notlangle 12 rangle = mathbb{Z}_{12}
.
– JouleV
yesterday
@JouleV Thanks, maybe it should. Personally I find this clearer because these are the Z_N subgroups of Z_12.
– marmot
yesterday
add a comment |
I love positioning
but may not necessarily use it when things should be on a grid.
documentclass[12pt]{article}
usepackage{tikz}
usepackage{amsfonts}
title{Subgroup Diagram of $Z_{12}$}
begin{document}
begin{figure}
centering
begin{tikzpicture}
begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
shape=false}]
draw (0,0) grid (2,1);
path (2,1) node (A1) {$langle 12 rangle = mathbb{Z}_{12}$}
(1,1) node (A2) {$langle 6 rangle$}
(0,1) node (A3) {$langle 3 rangle$}
(2,0) node (A4) {$langle 4 rangle$}
(1,0) node (A5) {$langle 2 rangle$}
(0,0) node (A6) {$langle 1 rangle$};
end{scope}
end{tikzpicture}
caption{Subgroup Diagram of $mathbb{Z}_{12}$}
end{figure}
end{document}
Or for Joule V ;-)
documentclass[12pt]{article}
usepackage{tikz}
usepackage{amsfonts}
title{Subgroup Diagram of $Z_{12}$}
begin{document}
begin{figure}
centering
begin{tikzpicture}
begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
shape=false}]
draw (0,0) grid (2,1);
path (2,1) node[text width=2em] (A1) {${langle 12 rangle=mathbb{Z}_{12}}$}
(1,1) node (A2) {$langle 6 rangle$}
(0,1) node (A3) {$langle 3 rangle$}
(2,0) node (A4) {$langle 4 rangle$}
(1,0) node (A5) {$langle 2 rangle$}
(0,0) node (A6) {$langle 1 rangle$};
end{scope}
end{tikzpicture}
caption{Subgroup Diagram of $mathbb{Z}_{12}$}
end{figure}
end{document}
I love positioning
but may not necessarily use it when things should be on a grid.
documentclass[12pt]{article}
usepackage{tikz}
usepackage{amsfonts}
title{Subgroup Diagram of $Z_{12}$}
begin{document}
begin{figure}
centering
begin{tikzpicture}
begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
shape=false}]
draw (0,0) grid (2,1);
path (2,1) node (A1) {$langle 12 rangle = mathbb{Z}_{12}$}
(1,1) node (A2) {$langle 6 rangle$}
(0,1) node (A3) {$langle 3 rangle$}
(2,0) node (A4) {$langle 4 rangle$}
(1,0) node (A5) {$langle 2 rangle$}
(0,0) node (A6) {$langle 1 rangle$};
end{scope}
end{tikzpicture}
caption{Subgroup Diagram of $mathbb{Z}_{12}$}
end{figure}
end{document}
Or for Joule V ;-)
documentclass[12pt]{article}
usepackage{tikz}
usepackage{amsfonts}
title{Subgroup Diagram of $Z_{12}$}
begin{document}
begin{figure}
centering
begin{tikzpicture}
begin{scope}[rotate=45,scale=1.5,transform shape,nodes={fill=white,transform
shape=false}]
draw (0,0) grid (2,1);
path (2,1) node[text width=2em] (A1) {${langle 12 rangle=mathbb{Z}_{12}}$}
(1,1) node (A2) {$langle 6 rangle$}
(0,1) node (A3) {$langle 3 rangle$}
(2,0) node (A4) {$langle 4 rangle$}
(1,0) node (A5) {$langle 2 rangle$}
(0,0) node (A6) {$langle 1 rangle$};
end{scope}
end{tikzpicture}
caption{Subgroup Diagram of $mathbb{Z}_{12}$}
end{figure}
end{document}
edited yesterday
answered yesterday
marmotmarmot
117k5150283
117k5150283
I think onlylangle 12 rangle
should be in the grid, notlangle 12 rangle = mathbb{Z}_{12}
.
– JouleV
yesterday
@JouleV Thanks, maybe it should. Personally I find this clearer because these are the Z_N subgroups of Z_12.
– marmot
yesterday
add a comment |
I think onlylangle 12 rangle
should be in the grid, notlangle 12 rangle = mathbb{Z}_{12}
.
– JouleV
yesterday
@JouleV Thanks, maybe it should. Personally I find this clearer because these are the Z_N subgroups of Z_12.
– marmot
yesterday
I think only
langle 12 rangle
should be in the grid, not langle 12 rangle = mathbb{Z}_{12}
.– JouleV
yesterday
I think only
langle 12 rangle
should be in the grid, not langle 12 rangle = mathbb{Z}_{12}
.– JouleV
yesterday
@JouleV Thanks, maybe it should. Personally I find this clearer because these are the Z_N subgroups of Z_12.
– marmot
yesterday
@JouleV Thanks, maybe it should. Personally I find this clearer because these are the Z_N subgroups of Z_12.
– marmot
yesterday
add a comment |
Evan Kim is a new contributor. Be nice, and check out our Code of Conduct.
Evan Kim is a new contributor. Be nice, and check out our Code of Conduct.
Evan Kim is a new contributor. Be nice, and check out our Code of Conduct.
Evan Kim is a new contributor. Be nice, and check out our Code of Conduct.
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