Regular polygon drawing with number of sides and number of points per side as input

Hello, I want to generate the points that define a regular polygon (a hexagon in my case). I am able to generate the vertices as:

nsides = 6; % hexagon
stepsize = 360/nsides;
theta = 0:stepsize:359;
x = cosd(theta);
y = sind(theta);

This only generates the vertices (ie 1 point per side), but I also want to include the possibility to choose the number of points per side. For the hexagon case the code above generates 6 points, but I would like the hexagon to have also 6 additional points located at the centre of each side, so 12 in total. How could I improve the code above to do this? Thanks

Answer 1

[William Rose]

@Albert,

There are different way you could go. One way is to define a time vector

t=0:6;

Define the corner coordinates points.

theta = 0:60:360;
x = cosd(theta);
y = sind(theta);

The initial point appear at the start and at the end. Choose the number of points per side:

M=10;

Create a time vector for interpolating the points:

t1=0:1/M:6;

Interpolate:

x1=interp1(t,x,t1);
y1=interp1(t,y,t1);

Plot x1 versus y1.

plot(x1,y1,'-k.');
axis equal

Done.

[Albert]

Excellent!! Works perfectly! Thanks

[William Rose]

@Albert, you're welcome.