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…

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...

Ambigrams and the creative process

I received an email out of the blue from Nikita Prokhorov, a freelance graphic designer and assistant professor of graphic design from Connecticut. Nikita runs a blog devoted ambigrams, but in a different kind of way. As the email said, the blog is "devoted to the art...

Slumdog night (and Rahman)

Slumdog rolled into the Oscars tonight. More important to me were the two Oscars for A. R. Rahman for original score and song. It is time that the world recognized his genius. Here is a cartoon by Kaladhar Bapu from his site Point Blank A.R. Rahman by Kaladhar Bapu

New Literacies & TPACK

I recently (through the magic of Twitter) found out about an initiative New Literacies Teacher Leader Institute 2010. This institute was organized by the Massachusetts Department of Elementary & Secondary Education, the New Literacies Research Lab at the...

The commodification of ugly

Noah, one of the students in my design doctoral seminar sent me this video by Ze Frank. Check it out.

JTE Call for Proposals: Gen AI in Teacher Preparation

JTE Call for Proposals: Gen AI in Teacher Preparation

The Journal of Teacher Education (JTE), is the flagship journal of American Association of Colleges of Teacher education (AACTE). It has been a leading voice in the field of teacher preparation for 75 years and is one of the most widely read professional journals in...

Celebrating Euler’s birthday

Google has a new doodle out today (the 15th of April) to celebrate the 306th birth anniversary of Leonhard Euler, the Swiss mathematician and physicist. This prompted some reflection on his work (and some mathematical poetry)... At the bottom right of the doodle above...

Undo & the the progress of technology

I have wondered what it would be like if life had an undo button, and what we would do without all this cool technology we have? I guess this is what happens when we use technology for too many hours a day. I was reminded of this when I Stumbled-Upon this online comic...

New TPACK themed book on English Education

My friend Carl Young of NCState recently released an edited volume (co-editor, Sara Kajder a the University of Pittsburgh) titled Research on Technology in English Education. It is a volume in the series: Research Methods for Educational Technology, edited by Walt...

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  1. Pi(e) day, 2019 – Punya Mishra's Web - […] the circle. I beg to differ, as I so (tongue-in-cheek-ingly) proved in this blog post from last year. Please…

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