import matplotlib
from matplotlib.animation import FuncAnimation as FA
from matplotlib.patches import Polygon as PG
from matplotlib.patches import Rectangle as RE
import matplotlib.pyplot as plt

#Units and Tens digits for all multiples of 11, 0 - 999
current = [11*i for i in range(1,10)]
multiples = [current]
for l in range(9):
    prev = current.copy()
    current = [i-1 for i in prev]
    multiples.append(current)


holes = [9*k for k in range(10)]    
holes

[0, 9, 18, 27, 36, 45, 54, 63, 72, 81]

def plottingElevenMultiples() :

    #Plot Setup.
    matplotlib.rc_file_defaults()
    fig = plt.figure(figsize = (8, 9.4545))
    ax = fig.add_subplot(111, xlim = (-1.01, 10.1), ylim = (-1.01, 12.12))

    #Remove axes and ticks.
    for side in ['bottom', 'left', 'top', 'right']:
            ax.spines[side].set_visible(False)
    ax.set_xticks([])
    ax.set_yticks([])

    #Grid lines setup.
    for t in range(11):
        ax.plot([0, 10], [t, t], c = 'grey', ls = '-', lw = 1)
        ax.plot([t, t], [0, 10], c = 'grey', ls = '-', lw = 1)
    
    #Units.
    ax.text(4.4, 10.8, "Units Digit", size = 20)
    for i in range(10) :
        ax.text(i +0.4, 10.1, str(i), size = 20)
    
    #Tens.
    ax.text(-1.1, 3.5, "Tens Digit", rotation = "vertical", size = 20)
    for i in range(10) :
        ax.text(-0.4, 9.3-i, str(i), size = 20)

      

    def animate(i):
        
        plt.title(x = 0.6, y = 0.95, label = "Multiples of 11 from %.0f-%.0f" % (100*i, 100*i+99), fontsize = 22)
 
        def makeRectangle(n, fc) :
            x = n % 10
            y = 9 - n // 10
            ax.add_patch(RE(xy = (x, y),
                            width = 1,
                            height = 1,
                            fc = fc))
        
        #Remove previous hole and multiples.
        if i > 0:
            makeRectangle(holes[i-1], "white")
            for n in multiples[i-1] :
                makeRectangle(n, 'white')
        
        #Plot hole.
        makeRectangle(9*i, "#481567")
        #Plot multiples
        for n in multiples[i] :
            makeRectangle(n, "#1F968B")
         

        
    #Run animation, 10 jumps, long pause.
    anim = FA(fig = fig,
              func = animate,
              init_func = None, 
              frames = 10,
              interval = 2000,
              blit = False)       
        
    anim.save('2022.06.17 Express.mp4');    
plottingElevenMultiples()

Rohan Lewis

2022.06.20