A visual poem -- Decision tree

From Norwegian math-poet Mike Naylor, this fascinating visual poem. 
(Thanks, Mike -- from JoAnne Growney -- for permission to post.)

Naylor presented this poem at the 2019 BRIDGES Math-Art conference. 

More information about the poets and poems for the 2019 BRIDGES Poetry reading is available here.

Visual, Poetical -- Mathematical Impressions

Art / Visual poetry      by Anatolii T Fomenko 

Statistical fantasy . .. imagining our random world . . .

     The art by Fomenko shown above conveys multiple meanings and thus is a good fit with both mathematics and poetry.  It invites contemplation -- give it some of your time! 

Daughter and Father - a warm geometry . . .

     Kate Stange is a mathematician -- from the Canadian province of Ontario and now at the University of Colorado -- whose father, Ken Stange, is a visual artist and poet. I met them on the internet via our combined interests in the intersections of poetry and mathematics. Lots of years ago, Kate gathered an online anthology of mathy poems. One of her recent online ventures is the development of WIN -- Women in Number Theory.  Below I offer one of Ken Stange's poems, taken from his collection Advice to Travellers (Penumbra, 1994).

Don't Mistake Your Mirror for a Window on the World     by Ken Stange

A reflection is both a thought about the world and the image we see in the mirror. -- Hippokrites

Consider your daughter's first smile.   
.    

Opening our minds to New Views . . .

     One of the values of study of mathematics is that to make progress we must continually revise our ways of looking at things. (Yes, there can be numbers less than zero . . . Yes, there can be different sizes for infinite sets . . . )  And a challenge for our society today is to carefully reconsider our racism.   Recently the American Mathematical Society's Blog On Math Blogs has offered this thoughtful posting, "What does anti-racism in mathematics look like?"  
     From visual poet Karl Kempton (who celebrates a birthday today) I offer a visual-poetry reminder of multiple ways of viewing a situation -- illustrated by two views of dividing the number 8.

For more ways of looking at 8 and other mathematical poems by Kempton, go here.

Out of Nothing -- A Strange New Universe

     Shashi Thutupalli is a scientist -- in Bangalore, India -- who enjoys poetry and often explores the connections between poetry and mathematics.   He has shared with me several samples of his work and I offer below the opening page (of three) of Thutupalli's poem, "Out of Nothing I Have Created a Strange New Universe."  (The full poem, together with artwork, is available in Visual Verse -- at this link.)

Page 1 of 3  -- the entire poem is found here at VisualVerse.org.

Also in Visual Verse is Thutupalli's "Dimensional Reduction' -- at this link. 

From a poetic artist -- "New Math"

     Neha Misra, one of my neighbors (in Eastern Village cohousing in Silver Spring, Maryland) is both a poet and a visual artist; in a recent conversation, I asked Neha if she had any mathy poems -- and she  volunteered the following lines-- full of rich mathematical terminology paired with multiple -- and thoughtful --  meanings.  Thank you, Neha!

New Math        by Neha Misra
 
Because I once scored 49 out of 50
in a Mathematical Physics exam
that I was so proud of, still am.
I do not remember much of
signs of sines and cosines.
I remember the differential equations
were all fine, but I was in love
with the curves of integration—
 
Because I once taught a scared young boy
in the confident body of a man
to not let his exponential fear of math
come in the way of his waking dreams
of flying with numbers.
Paper and pen in our hands,
together we melted his fear of math
into the heart of zero
and he flew     
far   far           far             away from me
on the infinite new wings of those numbers—  

The epitome -- Euler's Identity

Mathematics is a visual language.  As with poetry, placement on the page is a key ingredient of meaning.  Here is one of my favorite visual poems, "The Transcendence of Euler's Formula," by Neil Hennessy, a Canadian poet and computer scientist.  For additional math-poetry from Neil, follow the link.

          epitome
          epitome
          epitome
          epi+ome
          epItome
          _____________
          epit0me

Blog history -- title, links for previous posts . . .

      My first posting in this blog was nearly eight years ago (on March 23, 2010).  If, at the time, I had anticipated its duration, I should have made a plan for organizing the posts.  But my ambitions were small.  During the time I was teaching mathematics at Bloomsburg University, I gathered poetry (and various historical materials) for assigned readings to enrich the students' course experiences. After my retirement, I had time to want to share these materials -- others were doing well at making historical material accessible to students but I thought poetry linked to mathematics needed to be shared more.  And so, with my posting of a poem I had written long ago celebrating the mathematical life of Emmy Noether, this blog began.  Particular topics featured often in postings include -- verse that celebrate women, verses that speak out against discrimination, verses that worry about climate change.   

You're invited to:
Scroll through the titles below, browsing to find items of interest
among the more-than-nine-hundred postings since March 2010
OR 
Click on any label -- a list is found in the right-hand column below the author profile 
OR
Enter term(s) in the SEARCH box -- and find all posts containing those terms.

 For example, here is a link to the results of a SEARCH using    math women 

And here is a link to a poem by Brian McCabe that celebrates math-woman Sophie Germain.
This link reaches a poem by Joan Cannon that laments her math-anxiety.
This poem expresses some of my own divided feelings.

                                       2017 Posts

Math-Stat Awareness Month -- find a poem!

APRIL is Mathematics and Statistics Awareness Month
AND
National Poetry Month!

 Celebrate with a MATHY POEM, found here in this blog!  Scroll down!

If you are looking for mathy poems on a particular topic, the SEARCH box in the right-column may help you find them. For example, here is a link to posts found when I searched using the term "parallel."  And here are posts that include the term "angle."   To find a list of additional useful search terms, scroll down the right-hand column. 

For your browsing pleasure, here are the titles and dates of previous blog postings,

moving backward from the present.  Enjoy!

Mar 31  Math and poetry in film
Mar 28  Split this Rock, Freedom Plow Award, April 21
Mar 27  Math-themed poems at Poets.org
Mar 23  Remember Emmy Noether! 

Math-Poetry Recordings on YouTube

     The arrival in 2020 of COVID caused a huge number of gatherings to take place online -- including mathematics conferences and poetry readings- -- and performances at many of these special events have been recorded on YouTube.  I offer below a few links to recordings and to further information.  Recording myself reading poems would probably not been one of my chosen activities but mathematician-poet Sarah Glaz, who has been an enthusiastic organizer of poetry events for the BRIDGES Math-Arts Conferences, has requested recorded samples from each participating poet.

     One way to start YouTube math-poetry explorations is to go to this link -- a link I found by searching for "poetry math" on YouTube.  In this blog, we have mentioned YouTube a bit in the past -- and the blog's SEARCH feature finds this list of previous postings that feature YouTube links.

Celebrating a math-woman

I am continually searching for poems that feature past and current math-women.
When you find one (or create one) I will be glad to have you send it along.

The lunar crater L Herschel is named for astronomer Caroline Lucretia Herschel (1750-1848) -- and I have celebrated this math-woman earlier with two fine poems:  "Letter from Caroline Herschel" by Siv Cedering , and "Planetarium" by Adrienne Rich.  Now Herschel is the focus of a forthcoming book by poet Laura Long, The Eye of Caroline Herschel: A Life in Poems, (Finishing Line Press, 2013).  Here, from that collection, is "The Taste of Mathematics:  Caroline Herschel at 31" -- this poem also appears, along with a note about the full collection, in the July 2013 issue of The Journal of Humanistic Mathematics.  

A Numerical Poem (Fibonacci)

Consider the following poem involving the Fibonacci numbers:
 

        1/89 = .0        +

                  .01        +

                  .001        +

                  .0002        +

                  .00003        +             

                  .000005        +

                  .0000008        +

                  .00000013        +

                  .000000021        +

                  .0000000034        +

                  .00000000055        +

                  .000000000089        +

                  .0000000000144        +

                  .  ...

One type of "mathematical" poetry

When I began (in the 1980s) collecting examples of "mathematical poetry," I sought lines of verse that included some mathematical terminology.  More recently, my view has expanded to include structual, visual, and algorithmic influcences from mathematics; however, the two samples from the work of William Blake (1757-1827), presented below, fit into that initial category -- selected as "mathematical" because of their vocabulary -- one speaks of "infinity," the other of "symmetry."  (Blake was an artist as well as poet and his volumes of poetry were illustrated with his prints.)  The following stanza is the opening quatrain for Blake's poem "Auguries of Innocence." 

Opposites Attract

     Poems by visual poet Karl Kempton are always fascinating and often mathy.  Here, from Kempton's collection, poems about something and nothing (Paper Press, 2015) is one of my favorites: 

zero
the mirror
oblivion holds
wearing the mask
of infinity

 

AND

Here is a link to Kempton's collection 3-CUBED:  MATHEMATICAL POEMS 1975-2003.

And here is a link to previous presentations of Kempton's work in this blog.

In the same family -- a poet and a mathematician

When a poet and a mathematician are members of the same family, understandings result.  Ohio poet Cathryn Essinger is a twin of a mathematician and writes about this relationship.  Here are opening stanzas of two of her poems.

From 2010 -- titles and dates of posts

List of postings  March 23 - December 31, 2010
A scroll through the 12 months of titles below may lead you to topics and poets/poems of interest. Also helpful may be the SEARCH box at the top of the right-hand column; there you may enter names or terms that you would like to find herein.
    Dec 31  The year ends -- and we go on . . .
    Dec 30  Mathematicians are NOT entitled to arrogance
    Dec 28  Teaching Numbers
    Dec 26  Where are the Women?
    Dec 21  A Square for the Season
    Dec 20  "M" is for Mathematics and . . .  

What does MEAN mean?

Visual poetry by Mathemusician Larry Lesser:

These diagrams are part of a paper by L.M. Lesser found here.

Math and Poetry and Climate

Canadian poet Madhur Anand is also an Environmental Scientist; her love of nature and concerns for preserving a habitable climate pervade her work -- and she also scatters throughout it some mathematics.  You can imagine my delight when I found in her new collection (A New Index for Predicting Catastrophes) a poem (included below) that features the identity matrix.  Read on!

No Two Things Can Be More Equal    by Madhur Anand

In undergrad I learned about the identity 
matrix. Ones on the main diagonal and zeros 
elsewhere. Anything multiplied by it is itself. 

MAA Math Values Blog values poetry!

     I am a long-time member of the Mathematical Association of America (MAA) -- an organization (with administrative offices in Washington, DC)  whose mission is "to advance the understanding of mathematics and its impact on our world."   The MAA website states:

Our members include university, college, middle, and high school mathematics faculty; graduate and undergraduate students; pure and applied mathematicians; computer scientists; statisticians; and many others in government, business, and industry. We welcome all who are interested in the mathematical sciences.

     An important feature on the MAA website is their Math Values blog -- which has frequent postings from diverse voices within mathematics; these postings include important mathematical information and also math's connections to the larger world -- including teaching and learning, the arts, practical math-applications  . . .and more . . . 

     Recently in the Math Values blog I came across this posting (from June 2023) by Czech poet and artist Radoslav Rochallyi of what he calls VECTOR poetry; here is a screen-shot of a sample -- a poem developed from the phrase: “Time is pouring out of my broken watch glass. You look ahead, and you're right. Because the potential of the past is just … a sandcastle.”

Polyform Puzzles -- presented in verse

     Many math-loving folks gather periodically at meetings called  G4G (Gatherings for Gardner) to celebrate the life and contributions of Martin Gardner (1914-2010) -- a versatile author whom I know best from his "Mathematical Games" column in Scientific American -- a column that often connected math and poetry. 

     Here is a link to the YouTube channel for G4G Celebrations -- a place to view presentations of ideas that honor the spirit of Martin Gardner.   For one of the recent meetings of G4G (online due to Covid), graphic artist and designer of recreational mathematics puzzles, Kate Jones, offered a visual and poetic presentation entitled A Periodic Table of polyform puzzles.

This is the 3rd slide of Jones' presentation, "A Periodic Table of polyform puzzles"

      This link leads to a pdf of the 29 slides of Jones' presentation and this link leads to a 24-minute PowerPoint recording of the production; eventually this event will be available on the YouTube Channel noted above.   Jones describes this creation in this way:  It’s like a very condensed book on the subject; using rhymed couplets allowed for even more compact delivery of the information.  She adds:  at the gamepuzzles website, the various individual items in the puzzles can be seen more simply.

     Here is a link to an earlier posting in this  blog that includes a Fibonacci poem by Jones -- created for the 2016 meeting of G4G.