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How to made my hexa like this??

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ahmed elnashar
ahmed elnashar on 31 Jan 2012
Edited: Azzi Abdelmalek on 18 Oct 2013
My code:
clc;
close all
clear all;
f=input('please enter the dim=')
t=linspace(0,2*pi,7);
for Z=[-f/2:1:f/2]
for j=-f/2:1.732:f/2
ao=((Z)*1.5)+1*cos(t);
bo=(j)+1*sin(t);
plot(ao,bo);
plot(Z*1.5,(j),'ro')
hold on
end
for k=-f/2:1.732:f/2
al=((-Z)*1.5)+1*cos(t);
bl=(k)+1*sin(t);
plot(al,bl);
plot(-Z*1.5,k,'ro')
hold on
end
end
the result when I enter dim=10 is hexa generated but overlapping each other and I want it matching for planning.
[Information merged from first duplicate]
This code generate fixed area of hexa and i need to make it changable
clc;
close all
clear all;
t=linspace(0,2*pi,7);
ahx=0+1*cos(t);
bhx=0+1*sin(t);
plot(ahx,bhx);
for i=-0.866:1.732:10
ah=0+1*cos(t);
bh=i+1*sin(t);
plot(ah,bh);
plot(0,i,'ro');
hold on
end
for j=1.732:1.732:10
ar=1.5+1*cos(t);
br=j+1*sin(t);
plot(ar,br);
plot(1.5,j,'ro')
hold on
end
for k=1.732:1.732:10
al=-1.5+1*cos(t);
bl=k+1*sin(t);
plot(al,bl);
plot(-1.5,k,'ro')
hold on
end
grid on
[Information merged from second duplicate]
i want to make this code with for loops and i cant change radius to any no except 1
close all
clear all
clc
%L=input('enter the length=')
r=input('enter the radius=')
ax=-1.732 %middle
ay=0
r1=sqrt(3)*r/2;
r2=(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'r')
grid on
hold on
ax=0
ay=0
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'y')
grid on
hold on
ax=1.732
ay=0
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'g')
grid on
ax=-1.732*2
ay=0
r1=sqrt(3)*r/2;
r2=(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'b')
grid on
hold on
ax=1.732*2
ay=0
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'b')
grid on
ax=-1.732*3
ay=0
r1=sqrt(3)*r/2;
r2=(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'y')
grid on
hold on
ax=1.732*3
ay=0
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'r')
grid on %end
ax=-1.732 %upper line
ay=3*r
r1=sqrt(3)*r/2;
r2=(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'r')
grid on
hold on
ax=0
ay=3*r
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'y')
grid on
hold on
ax=1.732
ay=3*r
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'g')
grid on
ax=-1.732*2
ay=3*r
r1=sqrt(3)*r/2;
r2=(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'b')
grid on
hold on
ax=1.732*2
ay=3*r
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'b')
grid on
ax=-1.732*3
ay=3*r
r1=sqrt(3)*r/2;
r2=(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'y')
grid on
hold on
ax=1.732*3
ay=3*r
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'r')
grid on %end
ax=-1.732 %lower line
ay=-3*r
r1=sqrt(3)*r/2;
r2=(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'r')
grid on
hold on
ax=0
ay=-3*r
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'y')
grid on
hold on
ax=1.732
ay=-3*r
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'g')
grid on
ax=-1.732*2
ay=-3*r
r1=sqrt(3)*r/2;
r2=(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'b')
grid on
hold on
ax=1.732*2
ay=-3*r
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'b')
grid on
ax=-1.732*3
ay=-3*r
r1=sqrt(3)*r/2;
r2=(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'y')
grid on
hold on
ax=1.732*3
ay=-3*r
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'r')
grid on %end
ax=-0.866 %first
ay=1.5
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'g')
grid on
hold on
ax=0.866
ay=1.5
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'b')
grid on
ax=-0.866*3
ay=1.5
r1=sqrt(3)*r/2;
r2=(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'y')
grid on
hold on
ax=0.866*3
ay=1.5
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'r')
grid on
ax=-0.866*5
ay=1.5
r1=sqrt(3)*r/2;
r2=(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'g')
grid on
hold on
ax=0.866*5
ay=1.5
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'g')
grid on %end
ax=-0.866 %second
ay=-1.5
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'g')
grid on
hold on
ax=0.866
ay=-1.5
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'b')
grid on
ax=-0.866*3
ay=-1.5
r1=sqrt(3)*r/2;
r2=(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'y')
grid on
hold on
ax=0.866*3
ay=-1.5
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'r')
grid on
ax=-0.866*5
ay=-1.5
r1=sqrt(3)*r/2;
r2=(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'g')
grid on
hold on
ax=0.866*5
ay=-1.5
r1=sqrt(3)*r/2;
r2=+(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'g')
grid on %end
[Information merged from 3rd duplicate]
i want to change radius and make always the center(0,0)
close all
clear all
clc
L=input('enter the length x=')
N=input('enter the length y=')
r=input('enter the radius=')
for h=-(N)/2:3:(N)/2
for i=-L/2:1.732:L/2
ax=i %middle
ay=h
r1=sqrt(3)*r/2;
r2=(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'r')
grid on
hold on
end
end
for j=-(N-3)/2:3:(N-3)/2
for k=-(L+1.732)/2:1.732:(L+1.732)/2
ax=k %middle
ay=j
r1=sqrt(3)*r/2;
r2=(r/2);
A=[ax ay+r];
B=[ax+r1 ay+r2]
C=[ax+r1 ay-r2]
D=[ax ay-r]
E=[ax-r1 ay-r2]
F=[ax-r1 ay+r2]
x=[ax ax+r1 ax+r1 ax ax-r1 ax-r1];
y=[ay+r ay+r2 ay-r2 ay-r ay-r2 ay+r2];
fill(x,y,'g')
grid on
hold on
end
end
  1 Comment
Walter Roberson
Walter Roberson on 20 Feb 2012
http://www.mathworks.com/matlabcentral/answers/6200-tutorial-how-to-ask-a-question-on-answers-and-get-a-fast-answer

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Answers (2)

Walter Roberson
Walter Roberson on 31 Jan 2012
t = linspace(0,2*pi,7);
f = input('please enter the (even) dim=')
clf
hold on
xlim([-f/2,f/2]);
ylim([-f/2,f/2]);
axis square
L = f/2 - 1;
Zp = -L : 2 : L;
jp = Zp * sqrt(3) / 2;
for Z = Zp
for j = jp
ao = Z + cos(t);
bo = j + sin(t);
plot(ao, bo);
plot(Z, j, 'ro')
end
end
Note: this graph will have the appearance that the hexagons are overlapped. They are not overlapped: it is an illusion that is partly generated because you wanted the hexagons lined up on a grid instead of being staggered like they are in a honeycomb.
  2 Comments
ahmed elnashar
ahmed elnashar on 1 Feb 2012
thank you but i still need it not overlapped the following code is generate hexa with fixed area :
clc;
close all
clear all;
t=linspace(0,2*pi,7);
ahx=0+1*cos(t);
bhx=0+1*sin(t);
plot(ahx,bhx);
for i=-0.866:1.732:10
ah=0+1*cos(t);
bh=i+1*sin(t);
plot(ah,bh);
plot(0,i,'ro');
hold on
end
for j=1.732:1.732:10
ar=1.5+1*cos(t);
br=j+1*sin(t);
plot(ar,br);
plot(1.5,j,'ro')
hold on
end
for k=1.732:1.732:10
al=-1.5+1*cos(t);
bl=k+1*sin(t);
plot(al,bl);
plot(-1.5,k,'ro')
hold on
end
grid on
SO,i need to make that area changable not fixed
thanks again for your answer and hope you help me with this
Walter Roberson
Walter Roberson on 1 Feb 2012
The code I gave does NOT overlap anything. It might _look_ like it does, but that is an illusion because all the lines are the same color.
Here is a minor modification to the routine to change the coloring so that you can see more clearly that there is no overlap.
t = linspace(0,2*pi,7);
f = input('please enter the (even) dim=');
clf
hold on
xlim([-f/2,f/2]);
ylim([-f/2,f/2]);
axis square
L = f/2 - 1;
Zp = -L : 2 : L;
jp = Zp * sqrt(3) / 2;
colord = 'bgkcmy';
colidx = 0;
for Z = Zp
for j = jp
colidx = mod(colidx,length(colord)) + 1;
ao = Z + cos(t);
bo = j + sin(t);
plot(ao, bo, colord(colidx));
plot(Z, j, 'ro')
end
end

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Walter Roberson
Walter Roberson on 20 Feb 2012
Your duplicate questions have been merged in to your original question, and the duplicate questions have been deleted.
Before anyone can assist you, you need to give a clear description of what you are trying to achieve. For example,
"I am attempting to project a Hexadecachoronic Honeycomb to two dimensions, from the 4-dimensional viewpoint [v1,v2,v3,v4], looking towards [w1,w2,w3,w4], and [...]"

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