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…

Stuck with Google (recursively)

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Tipping point for online learning?

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Is the Covid19 crisis the tipping point for online learning? As we wrote in our introduction to the Silver Lining for Learning webinar series …this crisis has forced schools and universities to close, pushing often unprepared institutions to move teaching and learning...

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Over the past few weeks I have noticed that some webpages I visit have banner ads that are targeted to me quite specifically - in particular to my Indian origin. For instance this page (a story about ipods being used by the army) contains a set of banner ads that seek...

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Jon Krosnick, a professor at Stanford, argues that Hillary Clinton's surprise victory in the New Hampshire primary (contrary to what was being predicted in the pre-election surveys) could be simply due to the design of the ballot! Here is is the key quote: Our...

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The Pledge, the Turn & the Prestige: Building teams

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Making connections between the movie The Prestige, and the design of 2 activities to build trust and a shared vision in teams... As I have settled down at ASU and the Mary Lou Fulton Teachers College, my responsibilities have grown as well. I started as...

TPACK and online learning

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Mishra, Nicholson & Wojcikiewicz (2001/2003)

Mishra, P., Nicholson, M., & Wojcikiewicz, S. (2001/2003). Does my wordprocessor have a personality? Topffer’s Law and Educational Technology. Journal of Adolescent and Adult Literacy. 44 (7), 634-641. Reprinted in B. C. Bruce (Ed.). Literacy in the information...

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