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.

A few randomly selected blog posts…

Designing learning in a transformed world: Keynote

Designing learning in a transformed world: Keynote

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China, Australia, Nepal & Australia: A zoom tour

China, Australia, Nepal & Australia: A zoom tour

Over the past couple of months I have been asked to give presentations at a variety of different conferences or organizations spread across the world. They are archived below. I was invited to give a talk as part of the Dean's Lecture Series at the School of...

The media debate, politically speaking

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STEM Ed & Robotics: A foreword

STEM Ed & Robotics: A foreword

Vikram Kapila is a professor in the Department of Mechanical and Aerospace Engineering at NYU Tandon School of Engineering. Vikram and his research associate Purvee Chauhan recently published a book titled STEM Education with Robotics: Lessons from Research and...

Banksy’s biggest trick OR why I hate art museums

I have been a fan of Banksy, the subversive British street artist, for a long time. I love the visuals he comes up with, the subversive quality of his art and most importantly his ability to take art out of the galleries into the real world. His most recent trick,...

Post-lunch session: Nancy Law

The last session of the day was led by Dr. Nancy Law, Director, Centre for Information Technology in Education, University of Hong Kong. Her session was titled Using ICT to support learning: lessons learnt from international studies I met Dr. Law at SITE 2008 and then...

TPACK newsletter #4, Aug – Sept 09


Welcome to the fourth edition of the TPACK Newsletter, now with 494 subscribers (representing a 36% increase during the last four months!), and appearing bimonthly between August and April. If you are not sure what TPACK is, please surf over to www.tpack.org...

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