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How To Really Understand Zero-Knowledge Proof

Published on June 21, 2022 by Hemanth

How To Really Understand Zero-Knowledge Proof - An illustration showing a 2-D cross-section of a toroidal cave viewed from top. There is a stick figure that is standing outside the cave and saying "Go where I tell you to". Inside the cave, just inside the entrance is another stick figure replying "Ok!" This stick figure has two possible paths - "A" for clockwise, and "B" for anti-clockwise. At the opposite end of the entrance to the cave is a magic door.
Zero-knowledge proof is when you prove to someone that you know something without revealing to them what you know. This also explains how magic tricks work!
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How To Design A Franc-carreau or Fair-square Game

Published on June 20, 2022 by Hemanth

How To Design A Franc-carreau or Fair-square Game - An illustration showing a 6x6 square grid with a circular pink coin inside one of the grids without touching any grid lines, and a circular green coin that touches four grid lines. Pink coin → Win; Green coin → Loss
The Franc-Carreau or fair-square is a game of chance that juxtaposes geometry and probability. It is considered to be the origin of geometric probability!
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Can You Actually Solve This Viral Geometry Puzzle?

Published on June 19, 2022 by Hemanth

Can You Actually Solve This Viral Geometry Puzzle? - A square with a point inside that connects to the mid-point of each side such that the square splits into four uneven areas. Top-left area = 10 cm²; top-right area = 16 cm²; bottom-left area = 8 cm²; bottom-right area = ??
I recently came across this viral geometry puzzle on the web, and found it interesting. All you need is the following hint to solve this puzzle: triangles!
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How To Really Solve This Tricky Algebra Problem? (V)

Published on June 16, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem? (V) - (x²/y²) + (y²/x²) = 287; [(x/y) + (y/x)]³ = ??; x not equal to zero; y not equal to zero
Welcome to the fifth entry in the tricky algebra problem series. This one is aimed at beginners. Can you solve this challenge in under one minute?
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How To Benefit From Computer Science In Real Life? (III)

Published on June 15, 2022 by Hemanth

How To Benefit From Computer Science In Real Life? (III) - An illustration showing a catlogue search window that allows the user to search based on "title", "author", "topic", and "publication". The mouse pointer seems to be hovering hover the "search" button. To the right of the "search" button is the "cancel" button.
Learn how to benefit from computer science to solve sort and search problems in real life. Also included is an introduction to the modern random stow method!
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How To Really Understand Expected Value?

Published on June 14, 2022 by Hemanth

How To Really Understand Expected Value? - A cartoon that shows a stick figure with a fancy hat and a tie sitting inside a counter. A sign on top of the counter reads "$2 Window". Beside the counter a flap-sign reads "10 Horse Races Daily!" There are two other stick figures with money in their hands queued up at the counter. The first stick figure says "I want Horse-777 to win!"
Expected value is another one of those scientific terms that people misunderstand quite often. Read this essay to learn how to spot common traps and avoid them!
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How To Benefit From Computer Science In Real Life (II)

Published on June 14, 2022 by Hemanth

How To Benefit From Computer Science In Real Life (II) - An illustration that shows a cheap supermarket named 'ELCHEAPO' on the left and an expensive supermarket named 'ELITO' on the right. Somewhere in between the supermarkets is a stick figure that is struggling to decide. 'ELCHEAPO' is 5 kilometres away from the stick figure, whereas 'ELITO' is just 200 metres away.
Learn how to benefit from computer science via the time-space-money trade-off (AKA resource trade-off) to unclutter complicated decision processes in real life!
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How To Benefit From Computer Science In Real Life? (I)

Published on June 13, 2022 by Hemanth

How To Benefit From Computer Science In Real Life? (I) - An illustration featuring one person heating glass in a flaming furnace, whereas another person is blowing and shaping a curvy-looking piece of glass artwork. Along with the illustration, the following text is presented: "Glass Blowing Using Computer Science?"
For those who are curious enough, there are plenty of ways to benefit from computer science in real life. This essay illustrates this using practical examples.
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How To Actually Solve The Königsberg Bridge Problem?

Published on June 9, 2022 by Hemanth

The Königsberg Bridge Problem - An illustration showing seven brdiges connecting four landmasses. Island 1 (centre) is connected to the upper bank (north) and the lower bank (south) via two bridges each. Island 1 and Island 2 (east) are connected by a bridge. Island 2 is connected to the upper bank and the lower bank via one bridge each.
The Königsberg bridge problem started as a logic puzzle to the city's residents. It laid the foundations for new math fields such as graph theory and topology!
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How To Really Solve The Kissing Circles Puzzle

Published on June 8, 2022 by Hemanth

How To Really Solve The Kissing Circles Puzzle - An illustration where on the left, three bigger circles (circles 1, 2, and 3) enclose a smaller circle (circle x), and on the right, one bigger circle (circle x) encloses three smaller circles (circles 1, 2, and 3).
I first came across the kissing circles puzzle when I was studying the topic of hyperspheres. The puzzle as such is quite simple, but it has profound insights!
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