Thanks to unicode, we may use Greek letters directly in our code.

In this Jupyter Notebook, lets use θ (theta), π (pi) and τ (tau) with τ = 2 * π.

Then we'll plot the graph of Euler's Formula, e to the i θ over the range 0 to τ.

In Python we signify i, the root of -1, as 1j for readability, so lets bind i to 1j as well.

```
In [69]:
```from math import e, pi as π
τ = 2 * π
i = 1j
result = e ** (i * τ)
print ("{:1.5f}".format(result.real))

```
```

```
In [71]:
```import matplotlib.pyplot as plt
import numpy as np
t = np.arange(0.0, τ, 0.01)
s = np.array([(np.e ** (i * θ)).real for θ in t])
plt.plot(t, s)
plt.xlabel('radians')
plt.ylabel('real part')
plt.title('Euler\'s Formula from 0 to tau')
plt.grid(True)
plt.savefig("euler_test.png") # uploaded to Flickr for display below