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…

TPACK in context: Call for papers

TPACK in context: Call for papers

Technology integration in teaching is deeply rooted in specific contexts. One could argue that contextual knowledge is of critical importance to teachers and the absence of it would limit, in significant ways, their effectiveness and success as an educators seeking to...

Contruction (sic)

Check out this page of examples of bad design. Some of these look too crazy to be true - but who knows... stranger things have happened. Interestingly enough the title of the page is "Award winning contructions!" I wonder if that is deliberate. Site worth sharing with...

It Takes Two: A (personal) exploration

It Takes Two: A (personal) exploration

I had written earlier about a contest organized by Dark ‘n’ Light (an e-zine) around the theme of "IT TAKES TWO" and had shared some of my experiments, exploring this theme, using Generative AI. You can see my experiments at: It takes two: A scientific romp using AI...

2017 Torrance Lecture on Creativity

2017 Torrance Lecture on Creativity

This past April, I delivered the annual E. Paul Torrance Lecture at the University of Georgia. Being invited to give this talk was a huge honor, for two main reasons. First, because of Paul Torrance, the person for whom this lecture is named. Dr. Torrance, known...

When Truth Doesn’t Matter: AI Falls for Illusory Optical Illusions

When Truth Doesn’t Matter: AI Falls for Illusory Optical Illusions

I've been exploring ChatGPT's ability to analyze images, and the results have been impressive. From interpreting complex refugee statistics to conducting semiotic analyses of street art, the AI has shown a remarkable ability to extract meaning from visual information....

EduSummIT 2015: Summary Report

EDUsummIT 2015 (International Summit on ICT in Education) is a global knowledge building community of researchers, educational practitioners, and policy makers committed to supporting the effective integration of research and practice in the field of ICT in...

Creativity is just connecting things

Steve Jobs retired as CEO of Apple this past week. The Wall Street Journal marked this event by creatingSteve Job's Best Quotes compendium. There are all worth reading - but a couple stood out for their connection to this course. Creativity is just connecting things....

Demotivational Posters II

A few weeks ago I posted a note about an assignment I gave my students in the on-campus version of the MAET program. They had completed an unit on motivation and had watched the RSA / Daniel Pink video and their task was was to create demotivational posters, (along...

ISTE: SIGTE Webinar on TPACK

The International Society for Technology in Education (ISTE) conducts a series of webinars for its members. Matt Koehler and I just completed one today for ISTE's Special Interest Group for Teacher Education (SIGTE). The webinar was titled Technology Integration in...

0 Comments

Submit a Comment

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