Article 6QJ7B Finding pi in the alphabet

Finding pi in the alphabet

by
John
from John D. Cook on (#6QJ7B)

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.

alphabet_pi.png

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")
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