Generalized Pythagorean Theorem--a visual poem?

While thinking about my December 13 posting featuring work by Richard Kostelanetz -- visual poetry with numbers -- I was browsing a fascinating book by Ivan Moscovich, The Puzzle Universe:  A History of Mathematics in 315 Puzzles (Firefly Books, 2015) and came to the following diagram.  I offer it as a visual poem. 

In addition to the squares, what other areas constructed on the sides of a right triangle may be correctly summed to give a third area of the same shape?

Visual poems with numbers

     I have a good friend who does not care for the sorts of poetry that are written today.  When I asked what he likes he cited "When I Was One-and-Twenty" by A E Housman (1859-1936) and the sonnet "Ozymandias" by Percy Bysshe Shelley (1792-1822).   My own preferences in poems, on the other hand, are less certain.  I like to explore, to discover what new things may be said within new forms and constraints.  The following selection, "Notes on Numbers" by Richard Kostelanetz, introduces some of the ideas that this artist/writer/critic explores in his visual poetry -- with numbers -- examples of which are available through links offered at the end of this posting.

Notes on Numbers      by Richard Kostelanetz  

Alphamath - poetry built on 4, 8

Since the late 1960s Toronto poet Victor Coleman has been energetically committed to innovated poetic practices.  A fine introduction to this poet is offered by Alex Porco in this linked review of Coleman's recent book, ivH: An Alphamath Serial (Book Thug, 2010).
          

          ivH: An Alphamath Serial is a book-length poem composed in the tradition 

of such precursors as Pythagoras, who taught that Number was the essence of all things; 

Plato, who argued that geometry was the foundation of all knowledge; 

Colorful mathematics for your smartphone

     "Bhaskara II (1114-1185) was an Indian mathematician and astronomer. He composed the Siddhanta Siromani, a treatise in four parts -- Lilavati (basics), Bijaganita (algebra), Grahaganita (planetary motion) and Goladhyaya (spheres)."
     This quotation comes from an early page of a new (2015) graphic e-book entitled The Illustrated Lilavati -- the text is based on a 1816 John Taylor translation, edited and illustrated for lilboox by Somdip Datta and available for download on smartphones and other devices.  Lilavati (named for the daughter of Bhaskara) was written in 1150 and was a standard textbook for arithmetic in India for many years.
     This e-book contains 25 illustrated problems (and solutions); here is the first:

This blog (then and now) and Pascal

     When I began this blog in 2010, I imagined up to 100 postings -- I saw it as a way to share math-related poetry that I had written and gathered during my years of teaching.  Now, as I prepare my 748th post, I am thinking about how I can organize my posts to make them findable and useful to the reader who visits and browses herein.

One thing that I have recently done is to update the blog's searchability -- 
in the right column you will find a search box.  

If you enter a term like "math" into the box, the search finds most of the posts in the entire blog and is thus not very helpful -- but you might try the term "triangle" and you would find about 20 relevant posts; one of them (from October 13, 2010) has the title "Varieties of triangles -- by Guillevic" and is the most-visited entry herein.  If you are, like me, someone who looks for math publicity and opportunities for girls, you may choose to enter "girl" in the search box.  This search, too, will lead to about 20 postings. 

Which hat? (from Slovenia)

     For a long time I have highly valued the work of Eastern European poets -- including Wislawa Szymborska, Miroslav Holub, Nichita Stanescu, Nina Cassian -- and have been pleased to find mathematical imagery in their work.  Early in November I had the privilege of attending a reading at the Goethe-Institut Washington that featured Slovenian poet Aleš Šteger -- born in 1973, winner of many awards, and described as the most translated Slovenian author of his generation.  A fun event -- from which I give you one of his slightly-mathematical offerings.

     Hat     by   Aleš Šteger (trans. Brian Henry)

     Who lives under the hat?
     Under the hat, which are three?
     Three hats. 

Are we speaking of "mathematics" or "poetry"?

     This week started with the excitement of an email message from Evelyn Lamb with a link to her Scientific American blog where she created a fun-to-take online poetry-math quiz based on an idea of mine (first published in 1992):

Can you tell the difference between mathematics and poetry?

Here’s a link to a SCIENTIFIC AMERICAN quiz to help you decide?

And a couple of centuries ago there was William Wordsworth -- who also contemplated both poetry and mathematics:

               On poetry and geometric truth
               and their high privilege of lasting life,
               From all internal injury exempt,
               I mused; upon these chiefly:  and at length,
               My senses yielding to the sultry air,
               Sleep seized me, and I passed into a dream.

William Wordsworth (1770-1850)

The Prelude, Book 5

Sustainability needs the arts AND mathematics . . .

The following poem is by Erica Jolly -- an Australian poet and retired teacher who is working hard to have the arts and the sciences integrated in Australian schools curricula.  “For too long, since the 1950s, we have witnessed serious losses across disciplines as science and mathematics have been deliberately separated from the arts and humanities,” Ms Jolly says.

"What has sustainability got to do with mathematics?"    by Erica Jolly

An exclamation attacking interdisciplinary themes in the national curriculum 

by Christopher Pyne on Q & A, 28 October 2013.

Does he not know or care
humankind must measure? 

Thanksgiving, 2015

Thinking toward Thanksgiving Day tomorrow, I am grateful for  --

 in addition to my children and grandchildren who will gather --

 all of the mathematic and poetic voices that help me see our world.
 Happy Thanksgiving wishes for all who read here!

Quoting Isaac Newton . . . . a "found" poem

     I do not know what
     I may appear to the world;
     but to myself I seem to have been
     only like a boy playing on the seashore,
     and diverting myself now and then
     finding a smoother pebble
     or a prettier shell than ordinary,
     whilst the great ocean of truth
     lay all undiscovered before me.

   -Isaac Newton, philosopher and mathematician (1642-1727)

Axiom: A Mathematics of Poetry

Today in a Facebook posting by Susanne Pumpluen

 I learned of Discov-her, an online journal 

featuring stories about women in Science. 

* * *

     The following poetry offering is by Richard Smyth who has written a parody of an introduction to the mathematics of logic (specifically Laws of Form by G Spencer Brown*, Julian Press, 1972).  Smyth founded Anabiosis Press which offers the poetry journal Albatross and which has now evolved into Anabiosis Online.  
     I invite you to enjoy this play of words and ideas:

AXIOM: A MATHEMATICS OF POETRY     by Richard Smyth

It shall be taken as given the idea of infinition. The idea of infinition stands in direct opposition to the idea of definition.

Definition
     Infinition is the act of making indefinite or unclear. That is to say, while some uses of language attempt to clarify, others attempt to obfuscate.

Construction
     Make a poem.