Mixing
Dyck paths behaving as nodes
Clash Royale CLAN TAG#URR8PPP
up vote
7
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I am sort of having two main issues with Dyck paths. I'm trying to get to the image on the left (which I edited it with Paint), and what I currently have is the image on the right. I believe that what I need to do, is have these Dyck paths behave as nodes in order to be able to connect them with an edge, but what I have tried thus far has not led me to this. I am clueless as to how may I have the numbers on the bottom printed as well. I've thought about these numbers as nodes also, but I personally believe that maybe it will be complicating things a bit too much.
I hope I have made myself clear.
Thank you for any help I can get.
This is the code I currently have:
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[3]
fill[white] (#1) rectangle +(#2,#2);
fill[fill=white]
(#1)
foreach dir in #3
ifnumdir=0
-- ++(1,0)
else
-- ++(0,1)
fi
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0;
dyckpath0,-521,1,0,0;
endtikzpicture
endlandscape
enddocument
tikz-pgf diagrams nodes tikz-trees tikz-node
edited Aug 17 at 11:39
Bernard
155k763189
asked Aug 17 at 11:36
Stiven G
623
add a comment |Â
up vote
7
down vote
favorite
I am sort of having two main issues with Dyck paths. I'm trying to get to the image on the left (which I edited it with Paint), and what I currently have is the image on the right. I believe that what I need to do, is have these Dyck paths behave as nodes in order to be able to connect them with an edge, but what I have tried thus far has not led me to this. I am clueless as to how may I have the numbers on the bottom printed as well. I've thought about these numbers as nodes also, but I personally believe that maybe it will be complicating things a bit too much.
I hope I have made myself clear.
Thank you for any help I can get.
This is the code I currently have:
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[3]
fill[white] (#1) rectangle +(#2,#2);
fill[fill=white]
(#1)
foreach dir in #3
ifnumdir=0
-- ++(1,0)
else
-- ++(0,1)
fi
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0;
dyckpath0,-521,1,0,0;
endtikzpicture
endlandscape
enddocument
tikz-pgf diagrams nodes tikz-trees tikz-node
edited Aug 17 at 11:39
Bernard
155k763189
asked Aug 17 at 11:36
Stiven G
623
add a comment |Â
up vote
7
down vote
favorite
up vote
7
down vote
favorite
I am sort of having two main issues with Dyck paths. I'm trying to get to the image on the left (which I edited it with Paint), and what I currently have is the image on the right. I believe that what I need to do, is have these Dyck paths behave as nodes in order to be able to connect them with an edge, but what I have tried thus far has not led me to this. I am clueless as to how may I have the numbers on the bottom printed as well. I've thought about these numbers as nodes also, but I personally believe that maybe it will be complicating things a bit too much.
I hope I have made myself clear.
Thank you for any help I can get.
This is the code I currently have:
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[3]
fill[white] (#1) rectangle +(#2,#2);
fill[fill=white]
(#1)
foreach dir in #3
ifnumdir=0
-- ++(1,0)
else
-- ++(0,1)
fi
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0;
dyckpath0,-521,1,0,0;
endtikzpicture
endlandscape
enddocument
tikz-pgf diagrams nodes tikz-trees tikz-node
edited Aug 17 at 11:39
Bernard
155k763189
asked Aug 17 at 11:36
Stiven G
623
I am sort of having two main issues with Dyck paths. I'm trying to get to the image on the left (which I edited it with Paint), and what I currently have is the image on the right. I believe that what I need to do, is have these Dyck paths behave as nodes in order to be able to connect them with an edge, but what I have tried thus far has not led me to this. I am clueless as to how may I have the numbers on the bottom printed as well. I've thought about these numbers as nodes also, but I personally believe that maybe it will be complicating things a bit too much.
I hope I have made myself clear.
Thank you for any help I can get.
This is the code I currently have:
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[3]
fill[white] (#1) rectangle +(#2,#2);
fill[fill=white]
(#1)
foreach dir in #3
ifnumdir=0
-- ++(1,0)
else
-- ++(0,1)
fi
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0;
dyckpath0,-521,1,0,0;
endtikzpicture
endlandscape
enddocument
tikz-pgf diagrams nodes tikz-trees tikz-node
edited Aug 17 at 11:39
Bernard
155k763189
asked Aug 17 at 11:36
Stiven G
623
edited Aug 17 at 11:39
Bernard
155k763189
edited Aug 17 at 11:39
Bernard
155k763189
edited Aug 17 at 11:39
Bernard
155k763189
155k763189
asked Aug 17 at 11:36
Stiven G
623
asked Aug 17 at 11:36
Stiven G
623
asked Aug 17 at 11:36
Stiven G
623
623
add a comment |Â
add a comment |Â
3 Answers
3
active
oldest
votes
up vote
5
down vote
accepted
I found for this application the inline version of foreach to be slightly more convenient. I added a fourth argument which should hold the name of the Dyck path, so you can draw edges between them. (I made the color of the second fill command something different than white to see what it does, it does seem to do something :). )
Edit
I added a fifth argument which determines the number of numbers to print, if this is larger than the size, it will also draw the little black dots.
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[5]- (#1);
path[fill] (#1) foreach i [count=j] in 0,...,#5 +(i,0) node[anchor=north]j ifnumi>#2 circle (1pt) fi;
draw[help lines] (#1) grid +(#2,#2);
draw[line width=2pt] (#1) foreach dir in #3 -- ++(dir*90:1);
endscope
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0dyck13;
dyckpath0,-521,1,0,0dyck23;
dyckpath5,031,0,1,0,1,0dyck33;
draw (dyck1) -- (dyck2);
draw (dyck2) -- (dyck3);
endtikzpicture
endlandscape
enddocument
PS I don't know if its useful, because I don't know what a Dyck path is, but using 2 or 3 in the directions list will allow you to to move left and down too. So
dyckpath0,051,1,1,1,1,0,0,0,0,0,3,3,3,3,3,2,2,2,2,1,1,1,1,0,0,0,3,3,3,2,2,1,1,0,35
leads to
Edit 2
As per request I adjusted the way the numbers are drawn. The last (5th) argument now must be a comma-separated list of numbers.
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[5]
beginscope[local bounding box=#4]
fill[white] (#1) rectangle +(#2,#2);
fill[red!25!white] (#1) foreach dir in #3-- ++(dir*90:1)
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0dyck11,2,3,4;
dyckpath0,-521,1,0,0dyck21,2,3,4;
dyckpath5,031,0,1,0,1,0dyck31,4,3,2;
dyckpath5,-531,0,1,0,1,0dyck41,4,2;
foreach i in 2,3,4
draw (dyck1) -- (dycki);
endtikzpicture
endlandscape
enddocument
answered Aug 17 at 12:25
Max
5,88811727
This has been of much use Max. I just have one question about this. If I wanted to change the order of the numbers for another dyck path, would it be possible?. Lets say intstead of having them as 1234, I would have liked another dyck path with numbers 1342. Would there need to be another argument defined? Thank you.
– Stiven G
Aug 17 at 14:49
1
@StivenG Sure, see my edit! This does mean that you have to specify the list of numbers for every graph. Probably there is a nicer way to do this, but unfortunately I cannot spare any more time :(
– Max
Aug 17 at 14:58
add a comment |Â
up vote
4
down vote
Following code shows how to write numbers below the grid. But it uses grid size to finish the list, I don't know how to know that second grid should print 4.
The edge between grids is just a line between know coordinates.
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[3]
fill[white] (#1) rectangle +(#2,#2);
fill[fill=white]
(#1)
foreach dir in #3
ifnumdir=0
-- ++(1,0)
else
-- ++(0,1)
fi
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0;
dyckpath0,-521,1,0,0;
draw[shorten >=3mm,shorten <=3mm] (1,-3)--(1.5,0);
endtikzpicture
endlandscape
enddocument
answered Aug 17 at 12:24
Ignasi
86.7k4153287
add a comment |Â
up vote
3
down vote
just for fun an adaptation that uses the excellent codes with some additional details according to taste, an arrow for each direction, option to change the size, use the library fit, to generate a node that contains only the grid, in that way the arrows always come from the center of it and it is possible to place a text in the desired position around it, also add names for certain nodes such as the numbers from which you can connect using their names.
RESULT:
MWE:
documentclass[border=0pt]standalone
usepackagetikz
usetikzlibrarybackgrounds,arrows.meta,fit
begindocument
begintikzpicture[
%Environmet config
>=Stealth[inset=0pt,length=7pt],
%Environment Styles
background rectangle/.style=%Seting the background styles
fill=brown!50!orange!50,
,
show background rectangle, % Indicates to activate the background.
]
defDyckpath(#1)(#2)[#3][#4](#5)#6%1:Position, 2: DickpathName, 3: X dimension, 4: Y dimension, 5: X labels 6: moves
beginscope[shift=(#1)]
draw[black!80,step=1,line width=0.5pt] (0,0) grid (#3,#4);
coordinate (temp) at (0,0); node(a) at (0,0); node(b) at (#3,#4);
node[fit=(a)(b),label=[anchor=west]north west:#2,inner ysep=10pt](#2);
foreach dir in #6
draw[->,line width=1.5pt] (temp) -- ++(90*dir:1) coordinate (temp);
foreach value [count=j] in 0,1,...,#5
ifnumvalue>#3 draw[fill](value,-0.5) node(#2-j) j ++(0,0.5) circle (1pt);
else draw[fill](value,-0.5) node(#2-j) j; fi
endscope
Dyckpath(0,0)(Graph1)[4][4](4)1,1,1,1,0,0,0,0
Dyckpath(6,0)(Graph2)[4][4](4)1,1,1,0,1,0,0,0
Dyckpath(12,0)(Graph3)[4][4](4)1,1,0,1,1,0,0,0
draw[->] (Graph1) -- (Graph2);
draw[->] (Graph2) -- (Graph3);
Dyckpath(0,-6)(Graph1-b)[3][3](4)1,1,1,0,0,0
Dyckpath(0,-10)(Graph1-c)[2][2](4)1,1,0,0
draw[->] (Graph1-3) -- ++(0,-1) -| (Graph1-b);
draw[->] (Graph1-b-2) |- ++(1.7,-0.5) |- (Graph1-c.0);
draw[->,shorten >=15pt] (Graph1-5) -- (Graph1-b-5); %Thanks to max for the observation
draw[->,shorten >=15pt] (Graph1-b-4) -- (Graph1-c-4);
Dyckpath(6,-6)(Graph2-b)[4][3](5)1,1,0,1,0,0,0
Dyckpath(12,-10)(Graph3-b)[3][7](5)1,1,1,1,0,1,1,0,1,0
draw[->] (Graph3-b) -| (Graph3-5);
endtikzpicture
enddocument
PSD: I work with standalone document class to work with a precompiled tikz drawing, with the imported pdf format output to the main document inside figure environment to obtain better position control even in landscape pages, tables, etc. like in this post Scaling different components of tikzpicture together.
answered Aug 17 at 17:55
J Leon V.
6,121527
Very nice, +1! One small question, why do you use relative positioning with predefined coordinates/nodes (e.g. indraw[->,shorten >=15pt] (Graph1-b-4) -- ++(Graph1-c-4);)?
– Max
Aug 18 at 11:48
Oh, well, it's because it's a mistake, I do not understand why the result is similar to the correct form, I'll correct it.
– J Leon V.
Aug 18 at 13:54
add a comment |Â
3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
5
down vote
accepted
I found for this application the inline version of foreach to be slightly more convenient. I added a fourth argument which should hold the name of the Dyck path, so you can draw edges between them. (I made the color of the second fill command something different than white to see what it does, it does seem to do something :). )
Edit
I added a fifth argument which determines the number of numbers to print, if this is larger than the size, it will also draw the little black dots.
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[5]- (#1);
path[fill] (#1) foreach i [count=j] in 0,...,#5 +(i,0) node[anchor=north]j ifnumi>#2 circle (1pt) fi;
draw[help lines] (#1) grid +(#2,#2);
draw[line width=2pt] (#1) foreach dir in #3 -- ++(dir*90:1);
endscope
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0dyck13;
dyckpath0,-521,1,0,0dyck23;
dyckpath5,031,0,1,0,1,0dyck33;
draw (dyck1) -- (dyck2);
draw (dyck2) -- (dyck3);
endtikzpicture
endlandscape
enddocument
PS I don't know if its useful, because I don't know what a Dyck path is, but using 2 or 3 in the directions list will allow you to to move left and down too. So
dyckpath0,051,1,1,1,1,0,0,0,0,0,3,3,3,3,3,2,2,2,2,1,1,1,1,0,0,0,3,3,3,2,2,1,1,0,35
leads to
Edit 2
As per request I adjusted the way the numbers are drawn. The last (5th) argument now must be a comma-separated list of numbers.
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[5]
beginscope[local bounding box=#4]
fill[white] (#1) rectangle +(#2,#2);
fill[red!25!white] (#1) foreach dir in #3-- ++(dir*90:1)
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0dyck11,2,3,4;
dyckpath0,-521,1,0,0dyck21,2,3,4;
dyckpath5,031,0,1,0,1,0dyck31,4,3,2;
dyckpath5,-531,0,1,0,1,0dyck41,4,2;
foreach i in 2,3,4
draw (dyck1) -- (dycki);
endtikzpicture
endlandscape
enddocument
answered Aug 17 at 12:25
Max
5,88811727
This has been of much use Max. I just have one question about this. If I wanted to change the order of the numbers for another dyck path, would it be possible?. Lets say intstead of having them as 1234, I would have liked another dyck path with numbers 1342. Would there need to be another argument defined? Thank you.
– Stiven G
Aug 17 at 14:49
1
@StivenG Sure, see my edit! This does mean that you have to specify the list of numbers for every graph. Probably there is a nicer way to do this, but unfortunately I cannot spare any more time :(
– Max
Aug 17 at 14:58
add a comment |Â
up vote
5
down vote
accepted
I found for this application the inline version of foreach to be slightly more convenient. I added a fourth argument which should hold the name of the Dyck path, so you can draw edges between them. (I made the color of the second fill command something different than white to see what it does, it does seem to do something :). )
Edit
I added a fifth argument which determines the number of numbers to print, if this is larger than the size, it will also draw the little black dots.
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[5]- (#1);
path[fill] (#1) foreach i [count=j] in 0,...,#5 +(i,0) node[anchor=north]j ifnumi>#2 circle (1pt) fi;
draw[help lines] (#1) grid +(#2,#2);
draw[line width=2pt] (#1) foreach dir in #3 -- ++(dir*90:1);
endscope
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0dyck13;
dyckpath0,-521,1,0,0dyck23;
dyckpath5,031,0,1,0,1,0dyck33;
draw (dyck1) -- (dyck2);
draw (dyck2) -- (dyck3);
endtikzpicture
endlandscape
enddocument
PS I don't know if its useful, because I don't know what a Dyck path is, but using 2 or 3 in the directions list will allow you to to move left and down too. So
dyckpath0,051,1,1,1,1,0,0,0,0,0,3,3,3,3,3,2,2,2,2,1,1,1,1,0,0,0,3,3,3,2,2,1,1,0,35
leads to
Edit 2
As per request I adjusted the way the numbers are drawn. The last (5th) argument now must be a comma-separated list of numbers.
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[5]
beginscope[local bounding box=#4]
fill[white] (#1) rectangle +(#2,#2);
fill[red!25!white] (#1) foreach dir in #3-- ++(dir*90:1)
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0dyck11,2,3,4;
dyckpath0,-521,1,0,0dyck21,2,3,4;
dyckpath5,031,0,1,0,1,0dyck31,4,3,2;
dyckpath5,-531,0,1,0,1,0dyck41,4,2;
foreach i in 2,3,4
draw (dyck1) -- (dycki);
endtikzpicture
endlandscape
enddocument
answered Aug 17 at 12:25
Max
5,88811727
This has been of much use Max. I just have one question about this. If I wanted to change the order of the numbers for another dyck path, would it be possible?. Lets say intstead of having them as 1234, I would have liked another dyck path with numbers 1342. Would there need to be another argument defined? Thank you.
– Stiven G
Aug 17 at 14:49
1
@StivenG Sure, see my edit! This does mean that you have to specify the list of numbers for every graph. Probably there is a nicer way to do this, but unfortunately I cannot spare any more time :(
– Max
Aug 17 at 14:58
add a comment |Â
up vote
5
down vote
accepted
up vote
5
down vote
accepted
I found for this application the inline version of foreach to be slightly more convenient. I added a fourth argument which should hold the name of the Dyck path, so you can draw edges between them. (I made the color of the second fill command something different than white to see what it does, it does seem to do something :). )
Edit
I added a fifth argument which determines the number of numbers to print, if this is larger than the size, it will also draw the little black dots.
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[5]- (#1);
path[fill] (#1) foreach i [count=j] in 0,...,#5 +(i,0) node[anchor=north]j ifnumi>#2 circle (1pt) fi;
draw[help lines] (#1) grid +(#2,#2);
draw[line width=2pt] (#1) foreach dir in #3 -- ++(dir*90:1);
endscope
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0dyck13;
dyckpath0,-521,1,0,0dyck23;
dyckpath5,031,0,1,0,1,0dyck33;
draw (dyck1) -- (dyck2);
draw (dyck2) -- (dyck3);
endtikzpicture
endlandscape
enddocument
PS I don't know if its useful, because I don't know what a Dyck path is, but using 2 or 3 in the directions list will allow you to to move left and down too. So
dyckpath0,051,1,1,1,1,0,0,0,0,0,3,3,3,3,3,2,2,2,2,1,1,1,1,0,0,0,3,3,3,2,2,1,1,0,35
leads to
Edit 2
As per request I adjusted the way the numbers are drawn. The last (5th) argument now must be a comma-separated list of numbers.
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[5]
beginscope[local bounding box=#4]
fill[white] (#1) rectangle +(#2,#2);
fill[red!25!white] (#1) foreach dir in #3-- ++(dir*90:1)
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0dyck11,2,3,4;
dyckpath0,-521,1,0,0dyck21,2,3,4;
dyckpath5,031,0,1,0,1,0dyck31,4,3,2;
dyckpath5,-531,0,1,0,1,0dyck41,4,2;
foreach i in 2,3,4
draw (dyck1) -- (dycki);
endtikzpicture
endlandscape
enddocument
answered Aug 17 at 12:25
Max
5,88811727
I found for this application the inline version of foreach to be slightly more convenient. I added a fourth argument which should hold the name of the Dyck path, so you can draw edges between them. (I made the color of the second fill command something different than white to see what it does, it does seem to do something :). )
Edit
I added a fifth argument which determines the number of numbers to print, if this is larger than the size, it will also draw the little black dots.
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[5]- (#1);
path[fill] (#1) foreach i [count=j] in 0,...,#5 +(i,0) node[anchor=north]j ifnumi>#2 circle (1pt) fi;
draw[help lines] (#1) grid +(#2,#2);
draw[line width=2pt] (#1) foreach dir in #3 -- ++(dir*90:1);
endscope
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0dyck13;
dyckpath0,-521,1,0,0dyck23;
dyckpath5,031,0,1,0,1,0dyck33;
draw (dyck1) -- (dyck2);
draw (dyck2) -- (dyck3);
endtikzpicture
endlandscape
enddocument
PS I don't know if its useful, because I don't know what a Dyck path is, but using 2 or 3 in the directions list will allow you to to move left and down too. So
dyckpath0,051,1,1,1,1,0,0,0,0,0,3,3,3,3,3,2,2,2,2,1,1,1,1,0,0,0,3,3,3,2,2,1,1,0,35
leads to
Edit 2
As per request I adjusted the way the numbers are drawn. The last (5th) argument now must be a comma-separated list of numbers.
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[5]
beginscope[local bounding box=#4]
fill[white] (#1) rectangle +(#2,#2);
fill[red!25!white] (#1) foreach dir in #3-- ++(dir*90:1)
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0dyck11,2,3,4;
dyckpath0,-521,1,0,0dyck21,2,3,4;
dyckpath5,031,0,1,0,1,0dyck31,4,3,2;
dyckpath5,-531,0,1,0,1,0dyck41,4,2;
foreach i in 2,3,4
draw (dyck1) -- (dycki);
endtikzpicture
endlandscape
enddocument
answered Aug 17 at 12:25
Max
5,88811727
edited Aug 17 at 14:56
answered Aug 17 at 12:25
Max
5,88811727
answered Aug 17 at 12:25
Max
5,88811727
answered Aug 17 at 12:25
Max
5,88811727
5,88811727
This has been of much use Max. I just have one question about this. If I wanted to change the order of the numbers for another dyck path, would it be possible?. Lets say intstead of having them as 1234, I would have liked another dyck path with numbers 1342. Would there need to be another argument defined? Thank you.
– Stiven G
Aug 17 at 14:49
1
@StivenG Sure, see my edit! This does mean that you have to specify the list of numbers for every graph. Probably there is a nicer way to do this, but unfortunately I cannot spare any more time :(
– Max
Aug 17 at 14:58
add a comment |Â
This has been of much use Max. I just have one question about this. If I wanted to change the order of the numbers for another dyck path, would it be possible?. Lets say intstead of having them as 1234, I would have liked another dyck path with numbers 1342. Would there need to be another argument defined? Thank you.
– Stiven G
Aug 17 at 14:49
1
@StivenG Sure, see my edit! This does mean that you have to specify the list of numbers for every graph. Probably there is a nicer way to do this, but unfortunately I cannot spare any more time :(
– Max
Aug 17 at 14:58
This has been of much use Max. I just have one question about this. If I wanted to change the order of the numbers for another dyck path, would it be possible?. Lets say intstead of having them as 1234, I would have liked another dyck path with numbers 1342. Would there need to be another argument defined? Thank you.
– Stiven G
Aug 17 at 14:49
This has been of much use Max. I just have one question about this. If I wanted to change the order of the numbers for another dyck path, would it be possible?. Lets say intstead of having them as 1234, I would have liked another dyck path with numbers 1342. Would there need to be another argument defined? Thank you.
– Stiven G
Aug 17 at 14:49
1
1
@StivenG Sure, see my edit! This does mean that you have to specify the list of numbers for every graph. Probably there is a nicer way to do this, but unfortunately I cannot spare any more time :(
– Max
Aug 17 at 14:58
@StivenG Sure, see my edit! This does mean that you have to specify the list of numbers for every graph. Probably there is a nicer way to do this, but unfortunately I cannot spare any more time :(
– Max
Aug 17 at 14:58
add a comment |Â
up vote
4
down vote
Following code shows how to write numbers below the grid. But it uses grid size to finish the list, I don't know how to know that second grid should print 4.
The edge between grids is just a line between know coordinates.
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[3]
fill[white] (#1) rectangle +(#2,#2);
fill[fill=white]
(#1)
foreach dir in #3
ifnumdir=0
-- ++(1,0)
else
-- ++(0,1)
fi
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0;
dyckpath0,-521,1,0,0;
draw[shorten >=3mm,shorten <=3mm] (1,-3)--(1.5,0);
endtikzpicture
endlandscape
enddocument
answered Aug 17 at 12:24
Ignasi
86.7k4153287
add a comment |Â
up vote
4
down vote
Following code shows how to write numbers below the grid. But it uses grid size to finish the list, I don't know how to know that second grid should print 4.
The edge between grids is just a line between know coordinates.
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[3]
fill[white] (#1) rectangle +(#2,#2);
fill[fill=white]
(#1)
foreach dir in #3
ifnumdir=0
-- ++(1,0)
else
-- ++(0,1)
fi
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0;
dyckpath0,-521,1,0,0;
draw[shorten >=3mm,shorten <=3mm] (1,-3)--(1.5,0);
endtikzpicture
endlandscape
enddocument
answered Aug 17 at 12:24
Ignasi
86.7k4153287
add a comment |Â
up vote
4
down vote
up vote
4
down vote
Following code shows how to write numbers below the grid. But it uses grid size to finish the list, I don't know how to know that second grid should print 4.
The edge between grids is just a line between know coordinates.
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[3]
fill[white] (#1) rectangle +(#2,#2);
fill[fill=white]
(#1)
foreach dir in #3
ifnumdir=0
-- ++(1,0)
else
-- ++(0,1)
fi
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0;
dyckpath0,-521,1,0,0;
draw[shorten >=3mm,shorten <=3mm] (1,-3)--(1.5,0);
endtikzpicture
endlandscape
enddocument
answered Aug 17 at 12:24
Ignasi
86.7k4153287
Following code shows how to write numbers below the grid. But it uses grid size to finish the list, I don't know how to know that second grid should print 4.
The edge between grids is just a line between know coordinates.
documentclassarticle
usepackagetikz
usepackagepdflscape
newcommanddyckpath[3]
fill[white] (#1) rectangle +(#2,#2);
fill[fill=white]
(#1)
foreach dir in #3
ifnumdir=0
-- ++(1,0)
else
-- ++(0,1)
fi
begindocument
thispagestyleempty
beginlandscape
centering
begintikzpicture[scale=0.7]
dyckpath0,031,1,1,0,0,0;
dyckpath0,-521,1,0,0;
draw[shorten >=3mm,shorten <=3mm] (1,-3)--(1.5,0);
endtikzpicture
endlandscape
enddocument
answered Aug 17 at 12:24
Ignasi
86.7k4153287
answered Aug 17 at 12:24
Ignasi
86.7k4153287
answered Aug 17 at 12:24
Ignasi
86.7k4153287
answered Aug 17 at 12:24
Ignasi
86.7k4153287
86.7k4153287
add a comment |Â
add a comment |Â
up vote
3
down vote
just for fun an adaptation that uses the excellent codes with some additional details according to taste, an arrow for each direction, option to change the size, use the library fit, to generate a node that contains only the grid, in that way the arrows always come from the center of it and it is possible to place a text in the desired position around it, also add names for certain nodes such as the numbers from which you can connect using their names.
RESULT:
MWE:
documentclass[border=0pt]standalone
usepackagetikz
usetikzlibrarybackgrounds,arrows.meta,fit
begindocument
begintikzpicture[
%Environmet config
>=Stealth[inset=0pt,length=7pt],
%Environment Styles
background rectangle/.style=%Seting the background styles
fill=brown!50!orange!50,
,
show background rectangle, % Indicates to activate the background.
]
defDyckpath(#1)(#2)[#3][#4](#5)#6%1:Position, 2: DickpathName, 3: X dimension, 4: Y dimension, 5: X labels 6: moves
beginscope[shift=(#1)]
draw[black!80,step=1,line width=0.5pt] (0,0) grid (#3,#4);
coordinate (temp) at (0,0); node(a) at (0,0); node(b) at (#3,#4);
node[fit=(a)(b),label=[anchor=west]north west:#2,inner ysep=10pt](#2);
foreach dir in #6
draw[->,line width=1.5pt] (temp) -- ++(90*dir:1) coordinate (temp);
foreach value [count=j] in 0,1,...,#5
ifnumvalue>#3 draw[fill](value,-0.5) node(#2-j) j ++(0,0.5) circle (1pt);
else draw[fill](value,-0.5) node(#2-j) j; fi
endscope
Dyckpath(0,0)(Graph1)[4][4](4)1,1,1,1,0,0,0,0
Dyckpath(6,0)(Graph2)[4][4](4)1,1,1,0,1,0,0,0
Dyckpath(12,0)(Graph3)[4][4](4)1,1,0,1,1,0,0,0
draw[->] (Graph1) -- (Graph2);
draw[->] (Graph2) -- (Graph3);
Dyckpath(0,-6)(Graph1-b)[3][3](4)1,1,1,0,0,0
Dyckpath(0,-10)(Graph1-c)[2][2](4)1,1,0,0
draw[->] (Graph1-3) -- ++(0,-1) -| (Graph1-b);
draw[->] (Graph1-b-2) |- ++(1.7,-0.5) |- (Graph1-c.0);
draw[->,shorten >=15pt] (Graph1-5) -- (Graph1-b-5); %Thanks to max for the observation
draw[->,shorten >=15pt] (Graph1-b-4) -- (Graph1-c-4);
Dyckpath(6,-6)(Graph2-b)[4][3](5)1,1,0,1,0,0,0
Dyckpath(12,-10)(Graph3-b)[3][7](5)1,1,1,1,0,1,1,0,1,0
draw[->] (Graph3-b) -| (Graph3-5);
endtikzpicture
enddocument
PSD: I work with standalone document class to work with a precompiled tikz drawing, with the imported pdf format output to the main document inside figure environment to obtain better position control even in landscape pages, tables, etc. like in this post Scaling different components of tikzpicture together.
answered Aug 17 at 17:55
J Leon V.
6,121527
Very nice, +1! One small question, why do you use relative positioning with predefined coordinates/nodes (e.g. indraw[->,shorten >=15pt] (Graph1-b-4) -- ++(Graph1-c-4);)?
– Max
Aug 18 at 11:48
Oh, well, it's because it's a mistake, I do not understand why the result is similar to the correct form, I'll correct it.
– J Leon V.
Aug 18 at 13:54
add a comment |Â
up vote
3
down vote
just for fun an adaptation that uses the excellent codes with some additional details according to taste, an arrow for each direction, option to change the size, use the library fit, to generate a node that contains only the grid, in that way the arrows always come from the center of it and it is possible to place a text in the desired position around it, also add names for certain nodes such as the numbers from which you can connect using their names.
RESULT:
MWE:
documentclass[border=0pt]standalone
usepackagetikz
usetikzlibrarybackgrounds,arrows.meta,fit
begindocument
begintikzpicture[
%Environmet config
>=Stealth[inset=0pt,length=7pt],
%Environment Styles
background rectangle/.style=%Seting the background styles
fill=brown!50!orange!50,
,
show background rectangle, % Indicates to activate the background.
]
defDyckpath(#1)(#2)[#3][#4](#5)#6%1:Position, 2: DickpathName, 3: X dimension, 4: Y dimension, 5: X labels 6: moves
beginscope[shift=(#1)]
draw[black!80,step=1,line width=0.5pt] (0,0) grid (#3,#4);
coordinate (temp) at (0,0); node(a) at (0,0); node(b) at (#3,#4);
node[fit=(a)(b),label=[anchor=west]north west:#2,inner ysep=10pt](#2);
foreach dir in #6
draw[->,line width=1.5pt] (temp) -- ++(90*dir:1) coordinate (temp);
foreach value [count=j] in 0,1,...,#5
ifnumvalue>#3 draw[fill](value,-0.5) node(#2-j) j ++(0,0.5) circle (1pt);
else draw[fill](value,-0.5) node(#2-j) j; fi
endscope
Dyckpath(0,0)(Graph1)[4][4](4)1,1,1,1,0,0,0,0
Dyckpath(6,0)(Graph2)[4][4](4)1,1,1,0,1,0,0,0
Dyckpath(12,0)(Graph3)[4][4](4)1,1,0,1,1,0,0,0
draw[->] (Graph1) -- (Graph2);
draw[->] (Graph2) -- (Graph3);
Dyckpath(0,-6)(Graph1-b)[3][3](4)1,1,1,0,0,0
Dyckpath(0,-10)(Graph1-c)[2][2](4)1,1,0,0
draw[->] (Graph1-3) -- ++(0,-1) -| (Graph1-b);
draw[->] (Graph1-b-2) |- ++(1.7,-0.5) |- (Graph1-c.0);
draw[->,shorten >=15pt] (Graph1-5) -- (Graph1-b-5); %Thanks to max for the observation
draw[->,shorten >=15pt] (Graph1-b-4) -- (Graph1-c-4);
Dyckpath(6,-6)(Graph2-b)[4][3](5)1,1,0,1,0,0,0
Dyckpath(12,-10)(Graph3-b)[3][7](5)1,1,1,1,0,1,1,0,1,0
draw[->] (Graph3-b) -| (Graph3-5);
endtikzpicture
enddocument
PSD: I work with standalone document class to work with a precompiled tikz drawing, with the imported pdf format output to the main document inside figure environment to obtain better position control even in landscape pages, tables, etc. like in this post Scaling different components of tikzpicture together.
answered Aug 17 at 17:55
J Leon V.
6,121527
Very nice, +1! One small question, why do you use relative positioning with predefined coordinates/nodes (e.g. indraw[->,shorten >=15pt] (Graph1-b-4) -- ++(Graph1-c-4);)?
– Max
Aug 18 at 11:48
Oh, well, it's because it's a mistake, I do not understand why the result is similar to the correct form, I'll correct it.
– J Leon V.
Aug 18 at 13:54
add a comment |Â
up vote
3
down vote
up vote
3
down vote
just for fun an adaptation that uses the excellent codes with some additional details according to taste, an arrow for each direction, option to change the size, use the library fit, to generate a node that contains only the grid, in that way the arrows always come from the center of it and it is possible to place a text in the desired position around it, also add names for certain nodes such as the numbers from which you can connect using their names.
RESULT:
MWE:
documentclass[border=0pt]standalone
usepackagetikz
usetikzlibrarybackgrounds,arrows.meta,fit
begindocument
begintikzpicture[
%Environmet config
>=Stealth[inset=0pt,length=7pt],
%Environment Styles
background rectangle/.style=%Seting the background styles
fill=brown!50!orange!50,
,
show background rectangle, % Indicates to activate the background.
]
defDyckpath(#1)(#2)[#3][#4](#5)#6%1:Position, 2: DickpathName, 3: X dimension, 4: Y dimension, 5: X labels 6: moves
beginscope[shift=(#1)]
draw[black!80,step=1,line width=0.5pt] (0,0) grid (#3,#4);
coordinate (temp) at (0,0); node(a) at (0,0); node(b) at (#3,#4);
node[fit=(a)(b),label=[anchor=west]north west:#2,inner ysep=10pt](#2);
foreach dir in #6
draw[->,line width=1.5pt] (temp) -- ++(90*dir:1) coordinate (temp);
foreach value [count=j] in 0,1,...,#5
ifnumvalue>#3 draw[fill](value,-0.5) node(#2-j) j ++(0,0.5) circle (1pt);
else draw[fill](value,-0.5) node(#2-j) j; fi
endscope
Dyckpath(0,0)(Graph1)[4][4](4)1,1,1,1,0,0,0,0
Dyckpath(6,0)(Graph2)[4][4](4)1,1,1,0,1,0,0,0
Dyckpath(12,0)(Graph3)[4][4](4)1,1,0,1,1,0,0,0
draw[->] (Graph1) -- (Graph2);
draw[->] (Graph2) -- (Graph3);
Dyckpath(0,-6)(Graph1-b)[3][3](4)1,1,1,0,0,0
Dyckpath(0,-10)(Graph1-c)[2][2](4)1,1,0,0
draw[->] (Graph1-3) -- ++(0,-1) -| (Graph1-b);
draw[->] (Graph1-b-2) |- ++(1.7,-0.5) |- (Graph1-c.0);
draw[->,shorten >=15pt] (Graph1-5) -- (Graph1-b-5); %Thanks to max for the observation
draw[->,shorten >=15pt] (Graph1-b-4) -- (Graph1-c-4);
Dyckpath(6,-6)(Graph2-b)[4][3](5)1,1,0,1,0,0,0
Dyckpath(12,-10)(Graph3-b)[3][7](5)1,1,1,1,0,1,1,0,1,0
draw[->] (Graph3-b) -| (Graph3-5);
endtikzpicture
enddocument
PSD: I work with standalone document class to work with a precompiled tikz drawing, with the imported pdf format output to the main document inside figure environment to obtain better position control even in landscape pages, tables, etc. like in this post Scaling different components of tikzpicture together.
answered Aug 17 at 17:55
J Leon V.
6,121527
just for fun an adaptation that uses the excellent codes with some additional details according to taste, an arrow for each direction, option to change the size, use the library fit, to generate a node that contains only the grid, in that way the arrows always come from the center of it and it is possible to place a text in the desired position around it, also add names for certain nodes such as the numbers from which you can connect using their names.
RESULT:
MWE:
documentclass[border=0pt]standalone
usepackagetikz
usetikzlibrarybackgrounds,arrows.meta,fit
begindocument
begintikzpicture[
%Environmet config
>=Stealth[inset=0pt,length=7pt],
%Environment Styles
background rectangle/.style=%Seting the background styles
fill=brown!50!orange!50,
,
show background rectangle, % Indicates to activate the background.
]
defDyckpath(#1)(#2)[#3][#4](#5)#6%1:Position, 2: DickpathName, 3: X dimension, 4: Y dimension, 5: X labels 6: moves
beginscope[shift=(#1)]
draw[black!80,step=1,line width=0.5pt] (0,0) grid (#3,#4);
coordinate (temp) at (0,0); node(a) at (0,0); node(b) at (#3,#4);
node[fit=(a)(b),label=[anchor=west]north west:#2,inner ysep=10pt](#2);
foreach dir in #6
draw[->,line width=1.5pt] (temp) -- ++(90*dir:1) coordinate (temp);
foreach value [count=j] in 0,1,...,#5
ifnumvalue>#3 draw[fill](value,-0.5) node(#2-j) j ++(0,0.5) circle (1pt);
else draw[fill](value,-0.5) node(#2-j) j; fi
endscope
Dyckpath(0,0)(Graph1)[4][4](4)1,1,1,1,0,0,0,0
Dyckpath(6,0)(Graph2)[4][4](4)1,1,1,0,1,0,0,0
Dyckpath(12,0)(Graph3)[4][4](4)1,1,0,1,1,0,0,0
draw[->] (Graph1) -- (Graph2);
draw[->] (Graph2) -- (Graph3);
Dyckpath(0,-6)(Graph1-b)[3][3](4)1,1,1,0,0,0
Dyckpath(0,-10)(Graph1-c)[2][2](4)1,1,0,0
draw[->] (Graph1-3) -- ++(0,-1) -| (Graph1-b);
draw[->] (Graph1-b-2) |- ++(1.7,-0.5) |- (Graph1-c.0);
draw[->,shorten >=15pt] (Graph1-5) -- (Graph1-b-5); %Thanks to max for the observation
draw[->,shorten >=15pt] (Graph1-b-4) -- (Graph1-c-4);
Dyckpath(6,-6)(Graph2-b)[4][3](5)1,1,0,1,0,0,0
Dyckpath(12,-10)(Graph3-b)[3][7](5)1,1,1,1,0,1,1,0,1,0
draw[->] (Graph3-b) -| (Graph3-5);
endtikzpicture
enddocument
PSD: I work with standalone document class to work with a precompiled tikz drawing, with the imported pdf format output to the main document inside figure environment to obtain better position control even in landscape pages, tables, etc. like in this post Scaling different components of tikzpicture together.
answered Aug 17 at 17:55
J Leon V.
6,121527
edited Aug 18 at 13:55
answered Aug 17 at 17:55
J Leon V.
6,121527
answered Aug 17 at 17:55
J Leon V.
6,121527
answered Aug 17 at 17:55
J Leon V.
6,121527
6,121527
Very nice, +1! One small question, why do you use relative positioning with predefined coordinates/nodes (e.g. indraw[->,shorten >=15pt] (Graph1-b-4) -- ++(Graph1-c-4);)?
– Max
Aug 18 at 11:48
Oh, well, it's because it's a mistake, I do not understand why the result is similar to the correct form, I'll correct it.
– J Leon V.
Aug 18 at 13:54
add a comment |Â
Very nice, +1! One small question, why do you use relative positioning with predefined coordinates/nodes (e.g. indraw[->,shorten >=15pt] (Graph1-b-4) -- ++(Graph1-c-4);)?
– Max
Aug 18 at 11:48
Oh, well, it's because it's a mistake, I do not understand why the result is similar to the correct form, I'll correct it.
– J Leon V.
Aug 18 at 13:54
Very nice, +1! One small question, why do you use relative positioning with predefined coordinates/nodes (e.g. in
draw[->,shorten >=15pt] (Graph1-b-4) -- ++(Graph1-c-4);)?– Max
Aug 18 at 11:48
Very nice, +1! One small question, why do you use relative positioning with predefined coordinates/nodes (e.g. in
draw[->,shorten >=15pt] (Graph1-b-4) -- ++(Graph1-c-4);)?– Max
Aug 18 at 11:48
Oh, well, it's because it's a mistake, I do not understand why the result is similar to the correct form, I'll correct it.
– J Leon V.
Aug 18 at 13:54
Oh, well, it's because it's a mistake, I do not understand why the result is similar to the correct form, I'll correct it.
– J Leon V.
Aug 18 at 13:54
add a comment |Â
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