Two rotated squares with TIKZ

I am trying to create figures of this kind

Moreover, I would prefer to create a command with 9 arguments that specify whether each circle is colored in respective color or left white.

As an initial approximation, I thought of using the TIKZ graphs library for this purpose.

I copied this example from the manual:

documentclass[11pt,a4paper,onecolumn,openright,final,oneside]memoir
%===============================================
settrims0.cm0.cm
setbinding0cm % space for binding
setlrmarginsandblock*3cm1 % spine = edge. Edge=3cm
setulmarginsandblock3cm*1 % upper=lower. Upper=3cm
checkandfixthelayout
usepackagetikz
usetikzlibrarygraphs
begindocument
tikz
graph [nodes=draw, circle, clockwise, radius=.75cm, empty nodes, n=8]
subgraph C_n [name=inner] <->[shorten <=1pt, shorten >=1pt]
subgraph C_n [name=outer]
;
enddocument


I compiled this file with xelatex and this is what I got

I was expecting something like this

Any help is appreciated!

2 Answers
2

I am not sure if I would use graph drawing for this. You seem to know very well how the result should look like, i.e. I do not see the need for a layout algorithm. A very simpleminded macro of the type you suggest is the following. (Fixed colors, modulos can be tricky. ;-)

documentclass[tikz,border=3.14mm]standalone
usetikzlibraryshapes.geometric
begindocument
newcommandmymacro[1]
begintikzpicture
pgfmathparsemycolors[1]
node[regular polygon,regular polygon sides=4,draw,minimum size=3cm,pgfmathresult](square1);
pgfmathparsemycolors[0]
node[regular polygon,regular polygon sides=4,draw,minimum size=3cm,rotate=45,pgfmathresult]
(square0);
foreach X [count=Y,evaluate=Y as Z using int(mod(Y+1,2)),
evaluate=Y as V using int((Y+1)/2)] in #1
ifnumY=9
pgfmathsetmacromycolormycolors[2]
ifnumX=1
filldraw[mycolor] (0,0) circle (3mm);
else
draw[thick,fill=white,draw=mycolor] (0,0) circle (3mm);
fi
else
pgfmathsetmacromycolormycolors[Z]
ifnumX=1
filldraw[mycolor] (squareZ.corner V) circle (3mm);
else
draw[thick,fill=white,draw=mycolor] (squareZ.corner V) circle (3mm);
fi
fi
endtikzpicture

xdefmycolors"black","red","cyan"
mymacro1,0,1,1,0,1,1,1,0
enddocument


The 0 and 1 entries determine if a given circle is filled, the 9th entry is the dot in the middle. The colors are stored in the mycolors array.

0

1

mycolors

Here is a simple way to draw.

documentclass[tikz,border=5mm]standalone
begindocument
begintikzpicture[thick]
defa2
defr.5
fill[cyan] (0,0) circle(r);

beginscope[rotate=-135]
draw[gray] (-a,-a) rectangle (a,a);
filldraw (a,-a) circle(r);
filldraw (-a,a) circle(r);
filldraw (-a,-a) circle(r);
filldraw (a,a) circle(r);
endscope

draw[red] (-a,-a) rectangle (a,a);
filldraw[red] (a,-a) circle(r);
filldraw[red] (a,a) circle(r);
filldraw[red] (-a,-a) circle(r);
draw[red,fill=white] (-a,a) circle(r);
endtikzpicture
enddocument


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