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Adam Hrankowski, ADHD
Adam Hrankowski, ADHD

5.6K Followers

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Published in MathAdam

·Pinned

An Elegant New(ish) Proof

Tom Apostol’s square root of 2 proof is beautiful — This proof was published in 2000 by Tom Apostol. It just might become your new favourite proof that the square root of 2 is irrational. Here’s how it goes. You have a right isosceles triangle, ABC (Fig. 1). Suppose sides AC and BC have integer length. Their ratio will be…

Math

2 min read

An Elegant New(ish) Proof
An Elegant New(ish) Proof
Math

2 min read


Published in MathAdam

·Pinned

The Square Root of 2 is Irrational

A visual approach — Imagine a rectangle with aspect ratio of √2. Dissect it into a grid of tiny squares: u squares long by v squares wide (Figure 1).

Mathematics

3 min read

The Square Root of 2 is Irrational
The Square Root of 2 is Irrational
Mathematics

3 min read


Published in MathAdam

·Pinned

FTL Travel and the Rear of the Moon

2 Thought Experiments To Mess With Your Head — For our first demonstration you will need your cat, a laser pointer and the Moon. Place your cat on the Moon. (Take necessary precautions to ensure the well-being of your cat.) Fire up the laser pointer and point it towards the Moon. (You will need a strong battery or a…

Philosophy

3 min read

FTL Travel and the Rear of the Moon
FTL Travel and the Rear of the Moon
Philosophy

3 min read


Published in MathAdam

·Pinned

Volume of a Sphere

Integral calculus makes it easy — Watch on YouTube! To find the volume of a unit sphere, approximate the sphere with numerous discs, each of thickness dR (Figure 1). We’ll do this with the northern hemisphere only. Then we can double our result.

Math

2 min read

Volume of a Sphere
Volume of a Sphere
Math

2 min read


Published in MathAdam

·Pinned

The Surface Area of a Sphere

Why is it the same as the curved strip which surrounds it? — Watch this on YouTube! Grab a perfect sphere. Enclose it in a tube of paper (Figure 1). I claim that the rectangular sheet required to make the tube has the same area as the surface of the sphere. How can this be?

Math

3 min read

The Surface Area of a Sphere
The Surface Area of a Sphere
Math

3 min read


Published in MathAdam

·Feb 3

ChatGPT, Just Shut Up

We all have a friend like this. I’m talking about the highly intelligent person who knows a lot about a lot. He speaks with confidence on a variety of topics. He mesmerizes us with his ability to cross reference seemingly unrelated atoms of obscure facts. …

Mathematics

2 min read

ChatGPT, Just Shut Up
ChatGPT, Just Shut Up
Mathematics

2 min read


Published in MathAdam

·Jan 5

The Future of AI Writing Mathematics Papers

How natural language processing and intelligent tutoring systems are revolutionizing research in the field — As the field of artificial intelligence continues to advance, it is becoming increasingly clear that AI will play a significant role in the future of writing mathematics papers. …

Artificial Intelligence

3 min read

The Future of AI Writing Mathematics Papers
The Future of AI Writing Mathematics Papers
Artificial Intelligence

3 min read


Published in MathAdam

·Aug 12, 2022

Why Is This My Most Popular Video?

And where’s my £10K? — I have a math channel on YouTube. Videos take effort. And research. People watch my videos. They leave nice comments. Thank you, People. Yet, somehow a 30-second video that took me about a long to create is on its way to being the most-viewed effort on my whole channel. Folks…

YouTube

1 min read

Why Is This My Most Popular Video?
Why Is This My Most Popular Video?
YouTube

1 min read


Published in ILLUMINATION

·Apr 20, 2022

Mandatory Cold Showers May Replace Vax Pass

Satire. Seriously, this is satire. Do I have to say it again? — (From the Horton Hears a WHO Department) The World Health Organization now recommends cold showers to combat Covid-19. “I read this awesome book by this guy who calls himself the Iceman,” confided a top WHO epidemiologist, who spoke on condition of anonymity. …

Humor

1 min read

Mandatory Cold Showers May Replace Vax Pass
Mandatory Cold Showers May Replace Vax Pass
Humor

1 min read


Published in MathAdam

·Mar 11, 2022

A Number Theory Puzzle

How many lights remain on? — You have a numbered string of 1,000 light bulbs. You begin by flicking them each on.

Mathematics

4 min read

A Number Theory Puzzle
A Number Theory Puzzle
Mathematics

4 min read

Adam Hrankowski, ADHD

Adam Hrankowski, ADHD

5.6K Followers

Canadian math guy, experimenting with fiction. Find my new scifi/fantasy serial here: https://unaccompaniedminor.substack.com/

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