Chaitanya's Random Pages

January 2026 saw a large number of weather stations achieve record maximum temperatures in Australia, particularly in New South Wales, South Australia and Victoria between Jan 26 and 31.

In this post we consider the problem of how many rectangles (including squares) there are in a staircase grid of size , made by stacking rows of unit squares as shown in the figure below for .

Since this post in 2016, Earth has continued to warm, with 2023 and now 2024 set to exceed 2016 as our hottest years on record.

Imagine a car or truck speeding away in front of you on the road.

Below is a list of some statistics related to performances across test series.

We present here a calculation of the location of a star as a function of its declination, the observer’s latitude and time after it is at its highest position in the sky.

I have created a few interactive charts with Tableau on winning/losing/drawing international men’s cricket streaks using data from ESPNcricinfo.com’s Statsguru.

In this post I would like to prove the following identity, motivated by this tweet.

Adding to my earlier blog post about the highest proportion of test scores above m after n innings, I have created some new interactive charts for best streaks early and mid-career in both bowling and batting in tests and ODIs.

In this post we find the largest parallelogram, rhombus, rectangle and square that can be contained in a given triangle.