# Squaring a circle on Pi day!

by | Wednesday, March 14, 2018

Pie upon reflection is nothing but 3.14!
A new version of a design I had created a year ago.
Original idea stolen from the Interwebs

Since it is Pi(e) day, I thought it would be fun to share another design I had created a while ago in response to one of the longest running challenges in geometry: the challenge of squaring a circle. As wikipedia says:

Squaring the circle is a problem proposed by ancient geometers. It is the challenge of constructing a square with the same area as a given circle by using only a finite number of steps with compass and straightedge.

Turns out this is impossible to do—and the main reason are the fascinating properties of the number Pi. More on that here. As Wikipedia goes on to say:

The transcendence of pi implies the impossibility of exactly “circling” the square, as well as of squaring the circle.

This is why “squaring the circle” has come to represent trying the impossible.

Impossible you say? Hah! I laugh at the face of such odds.

I am here to announce that after thousands of years of failure I have finally done what no one has ever done before – I have squared a circle. Not just that, I have gone one step further, I have also circled a square. The proof is in the pudding-pie you say! Well see for yourself. The design below should be self-explanatory.

Squaring a circle by circling a square

The square in the middle is actually a circle and the circle outside is actually a square! Or is it the circle inside is actually a square or the square outside is actually …? Hmmm… Either way, Happy Pi Day!

A few randomly selected blog posts…

## Review of TPACK Handbook 2nd Edition

Douglas Harvey and Ronald Carol, both at Stockton University in New Jersey have reviewed the 2nd Edition of the TPACK Handbook for the journal TechTrends. You can find the review here.  Complete reference and a link to the first chapter of the handbook...

## Palindromic poetry: Falling Snow

A few weeks ago I had written about an email that I received from an eighth grader in Colorado. Jake, a budding poet, was interested in learning more about me in the context of some palindromic poetry I had written many years ago. I wrote back to Jake (you can see the...

## TPACK @ AERA, 2009

I did not go to AERA this year - choosing instead to go to Chicago to Keynote the Engaging Minds: Pedagogy and Personalism, the 2009 DePaul Faculty Teaching and Learning Conference. We did have a paper to be presented there (and I am sure our Iowa State friends must...

## Ed Week goes TPACK

There is an article in yesterday's Education Week (a part of their Technology Counts series) titled "Learning to Teach with Technology." I was interviewed by the author (Vaishali Honawar) a few months ago and had completely forgotten about it, till someone emailed me...

## Quest 2 Learn conference in Bangalore & more

I just got back from a lovely few days in Bangalore. I was there to participate in the Quest 2 Learn Annual Summit organized by the Quest Alliance. Convened at the  National Institute of Advanced Studies (NIAS), on the campus of the Indian Institute of...

## Corona virus: Silver lining? For learning?

A week or so ago, Yong Zhao reached out to Chris Dede, Curt Bonk, Scott McLeod and me with the question: What would happen to our global and local educational systems, if the Corona virus outbreak lasted for a year? We met a week ago (via zoom, what else) to discuss...

## Design for democracy

Very nice piece in today's NYTimes about ballot design (How Design Can Save Democracy). The article offers a list of problems with the traditional ballot and suggests a solution. A good example of the value of information design. Check it out here

## TPACK in the SAGE Encyclopedia of Ed Tech

The SAGE Encyclopedia of Educational Technology, edited by Dr. Michael Spector just got published. We have one article in it on (no surprise there) TPACK! Koehler, M., & Mishra, P. (2015). TPACK (technological pedagogical content knowledge). In J. Spector (Ed.),...

## Harris, Mishra & Koehler, 2009

Harris, J.,  Mishra, P. & Koehler, M. J. (2009). Teachers' Technological Pedagogical Content Knowledge and Learning Activity Types: Curriculum-based Technology Integration Reframed. Journal of Research on Technology in Education. In this paper we critically...