Saturday, March 14, 2026

A Trigonometric Interpretation of an Infinite Product for the Lemniscate Constant

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It is well known that Viete's infinite product formula for $\pi$ has a lemniscatic analog as showed by Levin in A Geometric Interpretat...
Saturday, January 31, 2026

Blending the Birthday Problem and the Coupon Collector Problem

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The Birthday Problem and Coupon Collector problem are well known problems in probability that are like duals of each other. While the former...
Monday, December 22, 2025

A classic Pursuit problem

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One the most famous and classic pursuit problem goes like this: A pursuer, initially at point $(0, b)$, is trying to catch a pursuee, initia...
Saturday, November 8, 2025

Arclength of the Cycloid(s) from velocity vectors

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Cycloid, the curve traced by a point on the rim of a circle rolling on a straight line, probably needs no introduction. Amongst its other di...
Sunday, October 5, 2025

A short note on the Median ratio property in Spherical Geometry

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We know that in a plane triangle, the median is divided by the centroid in the ratio $2:1$. In this post, we address the question of how thi...
Monday, September 22, 2025

A nice analogy in Spherical Geometry with a nicer application to Ceva

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It is well known that the Law of sines has a spherical counterpart . But from the Wiki article, we can infer something even better. That is...
Saturday, September 13, 2025

Sol LeWitt and his Incomplete Cubes

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 The recent video on 3Blue1Brown is something I enjoyed after a long time in the channel. While any post, article or video about Burnside...