Some idea to plot polygons
Polygon, in geometry, is any closed curve consisting of a set of line segments (sides) connected such that no two segments cross. The simplest polygons are triangles (three sides), quadrilaterals (four sides), and pentagons (five sides).
Here is how you can enter polygon data in Matlab.
Matlab obviously have a command to plot a polygon. The purpose of this coding experience is to practice basic approaches to work with geometric data.
clear all
close all
Polyg=[1 -1; %vertex 1
7 -1; %vertex 2
7 5; %vertex 3
4 5; %vertex 4
1 -1]; %repeating vertex 1
xlim([0 8])
ylim([-3 7])
hold on
m=length(Polyg)-1; %getting the number of segments
%Now lets draw the polygon
for i=1:m
plot(Polyg(i,1), Polyg(i,2),'o');
hold on
for t=0:0.01:1
x_segment=(1-t)*Polyg(i,1)+t*Polyg(i+1,1);
y_segment=(1-t)*Polyg(i,2)+t*Polyg(i+1,2);
plot(x_segment,y_segment,'.r');
end
end
In what follows as a case demonstation we are going to ask a user to click on the screen in counterclockwise fashon to plot a pentegon.
%we will save the polygon data in an array (first column is the x and second column is the y)
figure
plot(0,0);
axis([0 10 0 10]);
title('Enter the vertices of the pentagon you want to plot in counter clockwise fashion')
hold on
clear all
for i=1:5
Poly(i,:)=ginput(1);
end
Poly(6,:)=Poly(1,:);
%Now lets draw the polygon
for i=1:5
plot(Poly(i,1), Poly(i,2),'o');
hold on
for t=0:0.01:1
x_segment=(1-t)*Poly(i,1)+t*Poly(i+1,1);
y_segment=(1-t)*Poly(i,2)+t*Poly(i+1,2);
plot(x_segment,y_segment,'.r');
end
end
Can you reason why we added the first vertex as the last element in the Poly array that keeps the vertices coordinates?
Check how we ploted the line segements, conistituting the edges of the Polygon.
Appendix
Remember that the equation of the line segment between two points with coordinates 
and 
is given by
and is given by
You can also plot a polygon using Matlab's build-in function `polyshape'. For more information see https://www.mathworks.com/help/matlab/ref/polyshape.html
Also for your information
