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How To Actually Make Parallel Lines Intersect

Published on August 5, 2022 by Hemanth

How To Actually Make Parallel Lines Intersect - An illustration showing two lines: A and B at an angle to each other meeting at a common intersection point. Below them, the following text is written: "Are A and B parallel?"
How can parallel lines intersect? That sounds absurd, right? Except, it turns out they can in a projective plane! Read the essay to find out more about this.
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Puzzles: How To Use Them To Improve Brain Performance?

Published on August 4, 2022 by Hemanth

Puzzles: How To Use Them To Improve Brain Performance? - Three illustrations: the first shows a cross-word-like puzzle. The second illustration shows six sheets of A4 paper. And the third illustration shows a glass of wine on top of a sheet of A4 paper.
This essay covers the neuroscience behind puzzles. On top of this, you get to solve three bonus puzzles. Each of these puzzles activates a specific brain area!
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I Accidentally Almost Started A Business. Here is What Happened.

Published on August 1, 2022 by Hemanth

I Accidentally Almost Started A Business. Here is What Happened. - An image showing the word "Business" written in bold letters, followed by a full stop. The letter 'B' and the full stop are in black, while the rest of the letters are in pink.
I almost started a business simply by solving a problem. My solution gained popularing with zero advertisiting - a live case study for entrepreneurs!
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Variance: The Reason Why Rich Get Richer And Poor Get Poorer

Published on July 30, 2022 by Hemanth

Variance: The Reason Why Rich Get Richer And Poor Get Poorer - An illustration showing a see-saw, where a stick figure is anxious on the higher end and another stick figure is happy on the lower end. Money from the anxious stick figure rolls down the see-saw into the seat of the happy stick figure. This metaphorically depcits how the rich get richer and poor get poorer.
This essay explains why you need to worry about variance when it comes to financial decisions. It covers the math and psychology behind gains and losses!
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St. Petersburg Paradox – How To Actually Price Uncertainty?

Published on July 27, 2022 by Hemanth

St. Petersburg Paradox - How To Actually Price Uncertainty? - A portrait of Daniel Bernoulli on the left (image from WikiCC), and a portrait of Gabriel Cramer on the right (image from WikiCC) - image further edited by the author
The St. Petersburg paradox represents a landmark in applied mathematics history. It challenges expected value theory and is a precursor to ergodicity theory.
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Solomon’s Paradox: Do You Really Take Your Own Advice?

Published on July 24, 2022 by Hemanth

Solomon's Paradox: Do You Really Take Your Own Advice? An illustration showing a king seated on a throne. In his hand, the King seems to be holding an orb that has the label "WISDOM" written on it.
Solomon's paradox describes a pervasive psychological phenomenon that supposedly helps you make better decisions in life. Read the essay to learn more!
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Symmetry: How To Really “See” It?

Published on July 21, 2022 by Hemanth

Symmetry: How To Really "See" It? - An illustration showing a duck with its beak pointing towards the left and tail pointing towards the right. It is labelled "Duck-Rabbit". The Duck says, "Rotate me 90° clockwise." When you rotate the duck clockwise 90°, it appears to become a rabbit.
Learn all about symmetry in this essay from simple illustrations. To test your knowledge, there is also a fun bonus puzzle waiting for you at the end!
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How To Really Solve This Tricky Algebra Problem (VII)

Published on July 20, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem (VII) - (a*b*c*d*e) = (a+b+c+d+e); Fine the max. possible value of max{a, b, c, d, e}. (a, b, c, d, e) belong to the set of all positive integers.
The Tricky Algebra Problem Series celebrates the joy of algebra! Problems range from beginner to advanced levels.This one is a math olympiald level problem!
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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!
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How To Actually Run A Growing Science Blog

Published on July 15, 2022 by Hemanth

How To Actually Run A Growing Science Blog - A Venn diagram showing three separate sets: 1. "Create Value for fellow humans, 2. Skills, and 3. Interests. The intersection between the three sets is marked as "Target".
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!
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