Mathematics | Get Smarter, Solve Problems, And Make Your Knowledge Really Count

Non-Euclidean Geometry: The Forgotten Story

Published on July 18, 2022 by Hemanth

Non-Euclidean Geometry- On the left, a straight line makes right angles to two convex surfaces (hyperbolic). Below this, is a hyperbolic triangle (with angle sum less than 180°) inscribed in a circle. At the centre, a straight line makes right angles with two other straight lines (Euclidean). Below this, a triangle is inscribed in a circle. On the right, a straight line makes right angles with two concave curves (elliptic). Below this, an elliptic triangle is inscribed in a circle.

Non-Euclidean geometry is a well-founded notion in modern science. But this was not always the case. This essay covers the historic race to prove Euclid wrong!

How To Actually Run A Growing Science Blog

Published on July 15, 2022 by Hemanth

You don’t get to run a growing science blog everyday. It is indeed a privileged position to be in. This essay goes into the nitty-gritty of achieving this feat!

How To Really Understand Gruen Effect

Published on July 13, 2022 by Hemanth

Gruen effect (also known as Gruen transfer) is a psychophysics concept that subtly underlies your supermarket and shopping mall experiences. When was the last time that you visited your nearby supermarket to pick up toilet paper and ended up buying a whole list of items that you did NOT plan to buy? If that sounds familiar […]

How To Really Solve This Fun Geometry Puzzle?

Published on July 11, 2022 by Hemanth

I recently came across this fun geometry puzzle and it managed to engage me. Don't let it fool you. This puzzle is much easier than it looks!

Greater Fool Theory – How Does It Really Work?

Published on July 10, 2022 by Hemanth

The greater fool theory from the field of finance models crowd psychology around overvalued assets. Knowledge about this theory helps you avoid market traps!

How To Really Understand Pascal’s Wager

Published on July 8, 2022 by Hemanth

Pascal’s wager is a theological argument made by the iconic science figure, Blaise Pascal. The plot twist is that it involves bets and scientific thinking!

How To Really Solve This Tricky Algebra Problem? (VI)

Published on July 6, 2022 by Hemanth

Welcome to the sixth entry in the tricky algebra problem series. In this essay, you are challenged to solve a secondary-school level math olympiad problem!

How To Really Understand Fractals?

Published on July 5, 2022 by Hemanth

Fractals are generally seen as geometric shapes that self-similarly contain themselves at arbitrary scales. Learn about fractals intuitively in this essay!

How To Intuitively Understand Buffon’s Needle Problem

Published on July 2, 2022 by Hemanth

Buffon's Needle Problem - An illustration showing four vertical lanes (with five lane boundaries) that are parallel to each other and equidistant from one another. They are spaced at a width of 'L' units. Buffon's needle appears to be at an angle in the first lane without crossing any lane boundary. The length of Buffon's needle is also 'L' units.

Buffon’s needle problem is a game that juxtaposes geometry and probability. It is a profound concept that laid the foundations of geometric probability.

How To Really Understand Recursion

Published on June 30, 2022 by Hemanth

Recursion is one of those computer science concepts that drives students crazy and makes programmers drool. But most recursion turorials mislead you!

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