yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Tangram Paradoxes


less than 1m read
·Nov 10, 2024

I can take the seven pieces of a tangram and arrange them into a shape called the monk, but I can take the same seven pieces and arrange them into a monk with no feet.

Wait, what? Where'd the foot go? How can these be made of the same pieces? Is it magic? No, it's a Tang G Paradox, which is a kind of dissection fallacy.

In my Bonet Tarski video, I showed an example where we fail to notice how the parts have changed, so we're surprised when the whole does. But in this kind, we fail to notice exactly how the whole has changed, so we're surprised to find that the parts haven't.

Illusions like these are caused by the fact that a concentrated area of missing material is much more noticeable than an equal but diffused increase everywhere else that compensates for it.

Both of these figures have the same area. The one with no feet has a slightly larger body, but the area of just the feet spread out amongst an entire arrangement... well, it's kind of hard to see.

Sometimes the things we don't notice can be quite significant.

More Articles

View All
Khan Academy Ed Talks with Adam Green, PhD - Wednesday, August 18
Hello and welcome to Ed Talks with Khan Academy, where we talk education with a variety of experts in the field. Today, I am excited to talk to my own teammate Dr. Adam Green about new content that we have just released on Khan Academy for the start of th…
Private jet expert reacts to Grant Cardone.
Hey, three tips on buying your first jet. Oh, I got to hear this one! You got to be able to afford it. That would probably mean you need to be able to pay for two of them in cash. You got to take a loan to do your first deal? You’re not ready yet. Okay…
15 Steps To Master Self-Discipline
Fifteen Steps to Master Self-Discipline Welcome to A Lux, calm the place where future billionaires come to get inspired. Hello, A Luxors! It feels amazing to dive into this particular topic. You’ve been bugging us for multiple weeks that this is the vide…
Graphing logarithmic functions (example 1) | Algebra 2 | Khan Academy
We’re told the graph of y is equal to log base 2 of x is shown below, and I say graph y is equal to 2 log base 2 of negative x minus 3. So pause this video and have a go at it. The way to think about it is that this second equation that we want to graph i…
A day in the life of a PRODUCTIVITY NINJA🥷🏻📚⏰🥷🏻
Hi guys, it’s me Judy. I’m back with another vlog! You guys have been asking me, “What the hell are you doing if you’re taking a break from med school?” So I decided to answer your guys’s question and show what my typical day looks like. I’ve been doing …
Justification using first derivative | AP Calculus AB | Khan Academy
The differentiable function f and its derivative f prime are graphed. So let’s see. We see the graph of y is equal to f of x here in blue, and then f prime we see in this brownish orangish color right over here. What is an appropriate calculus based justi…