asyncio matplotlib show() still freezes program

I wish to run a simulation while at the same time output its progress in a plot. I've been looking through a lot of examples of threading and multiprocessing, but they are all pretty complex. So I thought with Python's new asyncio library this should be easier.

I found an example (How to use 'yield' inside async function?) and modified it for my cause:

import matplotlib.pyplot as plt
import asyncio
import numpy as np


class DataAnalysis():
    def __init__(self):
        # asyncio so we can plot data and run simulation in parallel
        loop = asyncio.get_event_loop()
        try:
            loop.run_until_complete(self.plot_reward())
        finally:
            loop.run_until_complete(
                loop.shutdown_asyncgens())  # see: https://docs.python.org/3/library/asyncio-eventloop.html#asyncio.AbstractEventLoop.shutdown_asyncgens
            loop.close()

    async def async_generator(self):
        for i in range(3):
            await asyncio.sleep(.4)
            yield i * i

    async def plot_reward(self):
        # Prepare the data
        x = np.linspace(0, 10, 100)

        # Plot the data
        plt.plot(x, x, label='linear')

        #plt.show()

        # add lines to plot
        async for i in self.async_generator():
            print(i)
            # Show the plot
            plt.show()


if __name__ == '__main__':
    DataAnalysis()

Question

I added a simple plt.show() and the program still freezes. I thought with asyncio I could run it in parallel? Obviously my knowledge is still lacking. An example that does the following would be really helpful:

• Add a line to a plot (of matplotlib) everytime async_generator returns a value.