Finding pi in the alphabet

Write the letters of the alphabet around a circle, then strike out the letters that are symmetrical about a vertical line. The remaining letters are grouped in clumps of 3, 1, 4, 1, and 6 letters.

I’ve heard that this observation is due to Martin Gardner, but I don’t have a specific reference.

In case you’re interested, here’s the Python script I wrote to make the image above.

    from numpy import *
    import matplotlib.pyplot as plt
    
    for i in range(26):
        letter = chr(ord('A') + i)
        if letter in "AHIMOTUVWXY":
            latex = r"$\equiv\!\!\!\!\!" + letter + "$"
        else:
            latex = f"${letter}$"
        theta = pi/2 - 2*pi*i/26
        pt = (0.5*cos(theta), 0.5*sin(theta))
        plt.plot(pt[0], pt[1], ' ')
        plt.annotate(latex, pt, fontsize="xx-large")
    plt.axis("off")
    plt.gca().set_aspect("equal")
    plt.savefig("alphabet_pi.png")

Leave a Reply

Your email address will not be published. Required fields are marked *