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2, 11, 101, 1009... hmmm, what comes next? An Online Encyclopedia of Integer Sequences
In one of the more mathy short-form content, I came across this amusing sequence: 1, 2, 4, 8, 16. 31. That is not a typo, it is indeed 31...
Shashwat Sarawagi
May 25, 20244 min read


Predict the Future and Stats can Vouch
Making predictions is easy... because it is just so ambiguous. "There is a high probability of rainfall tomorrow" is quite ambiguous, but...
Shashwat Sarawagi
Apr 11, 20245 min read


One sum, any number - Riemann's Rearrangement Theorem
Infinite series are a mind-boggling aspect of mathematics that explore a world of unconventional manipulations and results. While...
Shashwat Sarawagi
Mar 24, 20244 min read


Long-lost brothers meet again... The Genius of the Langlands programme
Mathematics is its own country within the continent of science. Unfortunately, it is just a bunch of islands. Where the capital island,...
Shashwat Sarawagi
Jan 13, 20243 min read


Square Shadows from Non-square Shapes: Imaginary Cubes
There is a square shadow on a wall. On three walls. What is the object making it? Instincts say cube. Mathematics says not necessarily....
Shashwat Sarawagi
Oct 22, 20232 min read


Real and Complex... but what is Quaternion? Beyond the Schools' Numbers.
Numbers serve as the building blocks of mathematics and its theories. While familiar number systems like the integers, rational numbers,...
Shashwat Sarawagi
Sep 9, 20233 min read


Chomp! A Deceivingly Simple Game of Stealing Strategy
Play with a friend and alternate turns Each of your turns consists of choosing or CHOMPing a square and along with other squares to the...
Shashwat Sarawagi
Aug 20, 20234 min read


To Infinity and Beyond : A Mathematical Rediscovery
Let us play a game. "Largest Number Wins". Whoever can name the larger number than the other player wins that round and this game goes on...
Shashwat Sarawagi
Jun 18, 20236 min read


Is (27⁸⁶ - 1) divisible by 13? Solve in Seconds with The Magic of Modular Arithmetic
Yes, it is divisible. And you can answer similar questions within a matter of seconds to minutes after just going through the very basics...
Shashwat Sarawagi
May 13, 20234 min read


The Mathematician's "Hat" : an Enthusiast's Einstein Tile
Who doesn't like spotting weird shapes in your bathroom's tiling when you are bored? Or you must have tried arranging random scraps of...
Shashwat Sarawagi
Apr 22, 20236 min read


Pick a Number, Predict a Coin Toss : The Beauty of Blackwell's Bet
You are presented with two identical envelopes with unknown sums of money. One envelope contains a greater amount of money, however, you...
Shashwat Sarawagi
Mar 19, 20235 min read


Beyond a Degree : The Passionate Pursuit of Mathematics
Mathematics is a fascinating subject that has been the subject of study for centuries. From ancient Greek mathematicians like Pythagoras...
Shashwat Sarawagi
Feb 26, 20234 min read


Beyond the Margins : Unravelling the Legacy of Fermat’s Last Theorem
As students, you must have come across various mathematical theorems and formulas that you had to memorize and apply in problem-solving....
Shashwat Sarawagi
Jan 7, 20235 min read
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