Creating a 2d mesh in python

Question

I am really new to programming... But here is my question : I cannot post images but the plot I wish to have is a "crown" (two concentric circle with radius a I mean, mathematically speaking is really easy to define but how can I do it with a python program ? I thought of something like this : ``` def Fm1(X, Y): r =r = sqrt(1.*X**2+1.*Y**2) cos = 1.*X/r sin = 1.*Y/r teta = where( sin >= 0. , arccos(cos) , -arccos(cos) ) teta = where(r == 0. , 0., teta) return r, teta def F(r,teta): X = r*cos(teta) Y = r*sin(teta) return X,Y ``` Those are simply the function that let you pass from the cartesian to the polar coordinates, and then : ``` r=sy.linspace(a,b,N+1) # radius division t=sy.linspace(0,2.*pi,2**NN) #angle (theta) division R,T=meshgrid(r,t) #creating a mesh X,Y = F(R,T)#transform from polar to cartesian #Plotting : fig=plt.figure() ax=fig.add_subplot(111) ax.plot(X, Y) plt.show() ``` But the result is : concentric polygons. I wish I had N+1 circles at equidistance from radius a to…

Accepted Answer

In my answers, I'll use two libraries:

```
import numpy as np
import pylab
```

I believe these are the constants in your setup:

```
r_a = 0.50
r_b = 0.75
circles = 6  
lines   = 50
origin = (0, 0)
```

Option 1: Plot directly

First, draw the circles:

```
for r in np.linspace(r_a, r_b, circles):
    pylab.gca().add_patch(pylab.Circle(origin, radius=r, 
                                       fill=False, color='black'))
```

Then draw the lines:

```
r_ab = np.array([r_a, r_b])
for theta in np.linspace(0, 2 * np.pi, lines):
    pylab.plot(np.cos(theta) * r_ab,
               np.sin(theta) * r_ab, color='red')
```

Finally, display:

```
pylab.axis('scaled')
pylab.show()
```

The result:

Option 2: Plot segments:

(After importing the libraries, and setting the constants, as above.) First, compute the point locations:

```
r,t   = np.meshgrid(np.linspace(r_a, r_b, circles),
                    np.linspace(0, 2 * np.pi, lines))
x = r * np.cos(t)
y = r * np.sin(t)
```

Then plot the circles (as you do) and plot the lines

```
# Plot circles
pylab.plot(x, y)
# Plot lines (first and last x and y of each theta)
pylab.plot(np.vstack((x[:,0], x[:, -1])),
           np.vstack((y[:,0], y[:, -1])))
```

Finally, display:

```
pylab.axis('scaled')
pylab.show()
```

The result:

Note: After all this, I think all you really needed was the last bit in Option 2 about plotting the lines. I'll keep all this other answer stuff here for any future readers.

Creating a 2d mesh in python

Solution

Problem