Mathematics

The mysterious and beautiful 6174

My favorite will always be 1.618 (The Golden Ratio) but 6174 fascinated me recently mainly because of the mystery it carries. It was in 1949 when an Indian mathematician named D. R. Kaprekar, devised a process now known as Kaprekar’s operation. This was published in “Scripta Mathematica” which was a quarterly journal published by Yeshiva University. …

Achilles & The Tortoise Paradox

“In a race, the quickest runner can never overtake the slowest, since the pursuer must first reach the point whence the pursued started, so that the slower must always hold a lead.” —Aristotle, Physics VI:9, 239b15 Here is another interesting paradox which proves that mathematics can be beautifully strange sometimes. This is a story of Achilles …