Visual proofs

by | Monday, August 03, 2009

I just came across these lovely visual mathematical proofs.

For instance consider the following sequence:
1/2 + 1/4 + 1/8 + 1/16 + … = 1

and then see the following image on the blog!!

How cool is that!!!!

I had posted about something similar earlier (see visualizing mathematics).

Note: Before someone gets technical on me, I should admit that these are not “proofs” in the rigorous mathematical sense of the term, but they do provide visual evidence / explanation that helps us understand the underlying patterns.

I also recommend the blog (http://www.billthelizard.com/) on which these “proofs” appeared for a bunch of other interesting stuff about mathematics and programming.

Topics related to this post: Art | Blogging | Creativity | Design | Good | Bad Design | Learning | Mathematics | Puzzles | Representation | Teaching | Worth Reading

A few randomly selected blog posts…

Postdictable, the commercials

Oct 15, 2009

I had written earlier about the idea of "postdictable" which was defined as something that is "surprising initially, but then understandable with a bit of thought." It lies at the spot between predictability and total chaos. The movie Sixth Sense is postdictable in...

Barcode yourself

Oct 7, 2009

Now that all of us are commodities, with personal brand names (and brand value) it is time to take the next step. It is time to get your own barcode! A quick scan with a barcode reader and your worth will be known to one and all. I was prompted to thinking of this...

Penang update

May 12, 2008

Today was my presentation at the University Sains Malaysia. I was picked up this morning by Abdul Hamid, a huge beefy man, with little English, but a great smile. A beautiful half-hour drive along a sea-side highway led us the University which is perched somewhat on a...

Cyborgs are us!

Sep 11, 2008

Are we becoming cyborgs? William Saletan has a recent article in Slate titled Full Metal Socket about this issue. As he says: Cyborgs aren't studs from the future. They're old folks. As we age, our parts wear out. That used to mean immobility or death. Today, we can...

Teaching to learning styles, what hogwash

Dec 16, 2009

There is an article in today's Chronicle titled Matching Teaching Style to Learning Style May Not Help Students. I have been somewhat skeptical of the learning styles literature for a while, not the least for hearing the phrase being bandied about without much...

Bad poetry time: Clerihews

Mar 15, 2009

Just when you thought I had run through all the bad poetry I can spew (see here for my palindromic poems) here is another set of poems I had all but forgotten about. A few years ago I got hooked into writing Clerihews. For the uninitiated: The clerihew is a bit of...

The futility of existence, Part II: What now?

Mar 18, 2010

So there's this guy who wants to get into a balloon. Don't ask why but he does. So he inflates these large balloons and tries to squeeze into them. And he fails for the most part. And of course all of this is documented on YouTube. For instance you can see his second...

The opposite of truth

Feb 7, 2010

Niels Bohr, the 1922 Nobel Laureate in Physics once said: The opposite of a correct statement is an incorrect statement. The opposite of a profound truth is another profound truth. I was reminded of this when I saw this TED video. Check it out... (h/t Andrew...

0 Comments

Submit a Comment

Your email address will not be published. Required fields are marked *