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Puzzles and Paradoxes

The Helix Puzzle – A Simple Geometric Challenge

Published on May 16, 2022 by Hemanth

The Helix Puzzle - A Simple Geometric Challenge - An illustration of a black outlined cylinder that is 16 centimetres high and has a pink helix wrapped around it. The helix makes the constant angle of 60° with vertical lines drawn on the cylinder's surface. Below this figure, the following text is written: "Length of helix = ??"
The helix puzzle is a fun and simple geometric challenge that tests your geometric reasoning skills. To be precise, this puzzle features a circular helix.
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How To Perfectly Predict Improbable Events

Published on May 15, 2022 by Hemanth

How To Perfectly Predict Improbable Events - Illustrative art that shows a lonely house near a tree in the middle of nowhere. There is a large grey cloud hovering over the plane, and is pouring rain down. On the left, at a time of 18:01, the tree seems to be struck by a rod of lightning. On the right, at 18:02, the tree seems to be struck by two more rods of lightning. The tree says (on the right): "What did I do to deserve this?!"
All you need to perfectly predict improbable events is the power of mathematics. If you find this hard to believe, read the essay. It will change your mind!
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How To Really Treat Percentages With Negative Numbers

Published on May 13, 2022 by Hemanth

How To Really Treat Percentages With Negative Numbers - A table listing the following information: Product A → Return: 600 ; Product B → Return: 400 ; Product C → Return: -400; Total Return: 600. Below the table the following question is written: "What is A's contribution to the total return?"
When do you really need to treat percentages with negative numbers? “Not often. If not, never!” If this is your answer, think again! It's not that simple!
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The Bell Curve Performance Review System Is Actually Flawed

Published on May 12, 2022 by Hemanth

The Bell Curve Performance Review System Is Actually Flawed - An illustrative graph that shows a normal distribution, where the right tail (20%) is classified as "top performers". The central bell (70%) is classified as "average performers", and the left tail (10%) is classified as "non-performers".
The Bell Curve performance review system is one of the most prominently used systems in the corporate world. Yet, it is, at best, pseudo science!
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How To Really Solve This Tricky Algebra Problem? (III)

Published on May 10, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem? (III) - x^y = y^x → x = ? and y = ? when x not equal to y and x,y ∈ ℝ
Welcome to the third entry in the tricky algebra problem series. To be fair, you will need a bit more knowledge than just algebra to solve this!
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How To Scientifically Design A 2-Dimensional World? (II)

Published on May 9, 2022 by Hemanth

How To Scientifically Design A 2-Dimensional World? - an image featuring an illustration of a 2-dimensional door. The image on the left (titled '1') shows the door when it is closed, resting centrally. The image on the right (titled '2') shows the door when it is about to open. The door has two symmetrical levers on either side, a rotary hinge connected to the roof, and a wedge in the bottom at the center. When the lever is pushed from either side, the wedge rocks and the door swings open.
Previously, I covered the scientific principles behind a 2-dimensional world. This essay gives you a sneak-peek into the world of 2-dimensional tech design!
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How To Scientifically Design A 2-Dimensional World? (I)

Published on May 8, 2022 by Hemanth

How To Scientifically Design A 2-Dimensional World? (I) - An image that shows a circular 2 dimensional planet. There is a triangular creature, a tree, a house, some rocks, water, and clouds around the rim of the planet. There is one rain-cloud, the rain from which is getting collected between two rocks. The triangular creature has two legs, two arms, and two eyes. There is also a flying fish among the clouds.
Science fiction talks about higher dimensional life all the time, but how many of us have thought about a 2-dimensional world? Science says that it's possible!
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How To Really Use The Superellipse For Elegant Designs

Published on May 7, 2022 by Hemanth

How To Really Use The Superellipse For Elegant Designs - An image showing Sergels Torg in Stockholm City (Image from WikiCC - further edited by the author) along with a beautiful and clear twilight skyling. The following text is written pointing towards Sergels Torg: "DESIGNED USING MATHEMATICS".
You don't hear the term “Superellipse” very often. Yet, its beauty is everywhere to see. If you are into design, elegance, and beauty, you need to read this!
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How To Solve The Mystery Of The Oscillating Function

Published on May 5, 2022 by Hemanth

How To Solve The Mystery Of The Oscillating Function - (8^x - 2^x)/(6^x - 3^x) = 2; x = ?? This equation is plotted on the right, which seems to be a U-shaped curve. When zoomed in on the zero region, the function seems to exhibit oscillation. Right next to this zoomed-shot, the following text is written: "WHY??"
What is so mysterious about an oscillating function? You see, if you work with extreme numbers, you'll face this problem. Read the essay to learn how handle it.
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How To Really Tile Rep-Tile Triangles?

Published on May 4, 2022 by Hemanth

How To Really Tile Rep-Tile Triangles? - An illustration of a right-triangle that is divided into 9 congruent triangles that are also similar to the original triangle. Below this figure, the following text is seen: "How to split one triangle into nine triangles??"
Learn the art of splitting a triangle into ’n’ congruent tiles that are also similar to the original. Using this math, it possible to scale infinitely!
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