The Song of 10 by Ellen Wehle
From the Romans' decem our decibels and decimal system, O tenfold
the sorrows of Israel, Decameron tales mean to be told over ten nights
in December, solstice month frozen in moondrifts of snow. Our fingers
and toes. Kingly ten-pointed stags reigning over Europe's greenwoods,
for miners a measure in tons of coal or type of tallow candle weighted
ten per pound, the legion poor mending by by its light. What else is there
to say? Higher than nine. A number whose power is mighty to multiply,
comprising one and nil, wand and egg, gold spindle and heavenly wheel
of goddess Fate who turns time and tides; what our parents say summer
evenings, hearing our voices dart and flicker in neighboring yards before
we dance from them into darkness and love's rule ends--I'll count to ten.
Wednesday, October 20, 2021
The Song of 10 by Ellen Wehle
Monday, October 18, 2021
One of the American Mathematical Society's pre-Covid Programs for students was a MATH POETRY Contest -- and details and resources are listed at this link. An article offered there has the title "Maths and Poetry: Beauty is the Link" -- an article by Peter Lynch, (emeritus professor at University College of Dublin's School of Mathematics & Statistics) published in 2019 in The Irish Times and available at this link. Lynch also has a blog, That'sMaths. The Irish Times article is available in his blog and he has a second posting about poetry entitled "Patterns in Poetry, Music, and Morse Code" -- it's available here.
Number theory is like poetry
they are both of the same kind
they start a fire in your mind.
Number theory is not just clever and smart
it has a beauty that fills your heart.
Wednesday, October 13, 2021
Recently I have come to know another strong advocate of math-poetry connections. Marian Christie (read about her here) has had longtime interest in both mathematics and poetry and her blog -- available at https://marianchristiepoetry.net/ -- explores topics that include "Poetry and Fractals," "Poetry and Number Sequences," "Poetry and Permutations," . . . reflection symmetry and square poems and Fibonacci poems . . .. and lots more. Allow yourself time to explore when you visit https://marianchristiepoetry.net/.
When I am working with a group of students are nervous about their ability to write a poem, I often start by asking them to write a Fib, because it starts with single syllables, In her posting about Fibonacci poems, Christie offers this simple example of how the Fib structure can lead you to a poem.
in crochet, music,
poetry and mathematics.
If you are new to Fibs, try this CHALLENGE: using the same first two lines as Christie used above, create a Fibonacci poem. And then another ... and another.
Monday, October 11, 2021
The week of October 10-16, 2021 has been proclaimed as GLOBAL MATH WEEK 2021. At this link is offered a list of math-celebration activities -- and these include creation of a poster which begins:
MATH IS . . .
In response to this I recall a quote from physicist Albert Einstein (1879-1955):
"Pure mathematics is, in its way, the poetry of logical ideas."
More of my views about the similarities
between math and poetry are available here.
Tuesday, October 5, 2021
A recent item from The Learning Network in the New York Times announces their 3rd annual STEM Writing Contest -- with submission dates, Feb. 2 - March 9, 2022. The Times states:
We invite students to choose an issue or question in science, technology, engineering, math or health, then write an engaging 500-word explanation.
Students aged 11 to 19 anywhere in the world attending middle or high school can participate. Here is a link to contest submission information.
And, perhaps some engaging explanations will include a few words of poetry!
Monday, October 4, 2021
German mathematician Karl Friedrich Gauss (1777-1855) is one of history's most prolific and influential mathematicians -- and he is interestingly described in the following acrostic poem.
K arl Friedrich Gauss by Stuart J, Silverman
A puzzle, that his brash genius often shrank,
R eluctant to publish? Hardly. The fact is he
L ingered, perfecting this or that theory
F orged in the heat of his private think tank.
R eworked his proofs until some thought they stank.
I nside and out, of misplaced purity.
E ntered the ages, one of a company
D ecidedly small -- not its only crank.
R ancor and jealousy, admittedly touched him,
I mpelled the pettish note to Bolyai,
C ruelly sent, perhaps on a whim,
H ead and heart each going its separate way.
G ranted the meanness, vanity, display,
A ll such human failings, what he worked would change
U nder his hand to the gold of a new day.
S ettled into its fame, his thought would range
S ecurely through the numinous and strange.
This poem by Silverman is on my shelf in the collection Against Infinity: An Anthology of Contemporary Mathematical Poetry, edited by Ernest Robson and Jet Wimp (Primary Press, 1979). This collection is out of print but copies may be located here at bookfinder.com.
What are the COSTS of GENIUS?
Wednesday, September 29, 2021
Recently on NPR I heard an engaging interview with poet Kevin Young about his new collection Stones -- about memory and loss, and connection to the past -- and my interest led me to search online for more of his work. At the Poetry Foundation website I found twenty of Young's poems, including this one which considers -- as mathematics also does -- pairs of opposites.
Negative by Kevin Young
Wake to find everything black
what was white, all the vice
versa—white maids on TV, black
sitcoms that star white dwarfs
cute as pearl buttons. Black Presidents,
Black Houses. White horse
candidates. All bleach burns
clothes black. Drive roads
white as you are, white songs
Monday, September 27, 2021
As we walk around, our views of our surroundings change; lines that look parallel from one view appear to be converging from another . . . and so on. The following poem by Massachusetts poet Martha Collins reflects on such view-changes:
House, Tree, Sky by Martha Collins
If, when the pond is still
and nothing is moved
and the light is right.
you consider the angles
and make the proper approach,
you come to a bend
where a small white house
against a deep sky meets
the same white house against
the blue water:
stair rests on stair,
door opens on door,
tree grows out of tree.
Wednesday, September 22, 2021
Sometimes our focus on what is important -- in life, in love . . . as in mathematics -- starts with counting. This process is artfully expressed below in "Tally" by Romanian poet Lucian Blaga (1922-1985).
Tally by Lucien Blaga
I tally in the ancient way.
I count like the shepherd
how many white. how many black
--days, all year round.
I count the steps, of the beautiful one,
to the threshold of the door.
I count how many startsthere are
in the nest of the Mother Hen.
However many, the lot--I count,
smoke and illusions,
the whole day--count, count
roads and missed ways.
I count the stones on which
she crosses the ford, that beauty
and all the sins for which
hell will surely burn me.
Blaga's poem was translated from the Romanian by Brenda Walker and Stelian Apostolescu and is included in the anthology, Strange Attractors: Poems of Love and Mathematics (AKPeters/CRC Press, 2008), edited by Sarah Glaz and JoAnne Growney.
Monday, September 20, 2021
The Second Coming by William Butler Yeats
Turning and turning in the widening gyre
The falcon cannot hear the falconer;
Things fall apart; the centre cannot hold;
Mere anarchy is loosed upon the world,
The blood-dimmed tide is loosed, and everywhere
The ceremony of innocence is drowned;
The best lack all conviction, while the worst
Are full of passionate intensity.
Surely some revelation is at hand;
Surely the Second Coming is at hand.
The Second Coming! Hardly are those words out
When a vast image out of Spiritus Mundi
Troubles my sight; somewhere in sands of the desert
A shape with lion body and the head of a man,
A gaze blank and pitiless as the sun,
Is moving its slow thighs, while all about it
Reel shadows of indignant desert birds.
The darkness drops again; but now I know
That twenty centuries of stony sleep
Were vexed to nightmare by a rocking cradle,
And what rough beast, its hour come round at last,
Slouches towards Bethlehem to be born?
Wednesday, September 15, 2021
A multimedia interdisciplinary project linking mathematics, the arts, and language -- and entitled Rhythm of Structure -- was begun in 2003 by versatile mathematical artist and writer, John Sims. I first learned of the project in 2010 when I was one of a group of writers invited to is a weekend event at the Bowery Poetry Club at which Sims was then resident poet. A catalog of the art and poetry gathered by Sims during that year is entitled Rhythm of Structure: Mathematics, Art and Poetic Reflection, Bowery and Beyond and is available at this link.
Before moving on to a poem I am compelled to mention a recent instance of racial injustice; from May, 2021 this headline:
Political artist John Sims detained, handcuffed by S.C. police in his gallery apartment
found at this Yahoo site. Sims, a black man and artist-in-residence at the Center for Contemporary art in Columbia, South Carolina, was arrested as an "intruder" as he entered his own apartment and gallery. PLEASE, let us work together to end racially biased behavior!
* * *
Monday, September 13, 2021
Spelman College Professor Emeritus Colm Mulcahy is a mathematician and scholar whose talents and interests reach far and wide. An email from him alerted me to a website exploring the work of his fellow Irishman, poet William Butler Yeats (1865-1939). In particular Mulcahy alerted me to links between Yeats' poetry and Geometry.
And these new connections to Yeats led me to think back to college days, to my reading of Yeats in a course in "Modern Poetry" -- and to remember the way that my thoughts were swept into the air by "The Wild Swans at Coole." I offer below its opening stanzas, followed by a link to the rest of the poem.
The Wild Swans at Coole by William Butler Yeats
The trees are in their autumn beauty,
The woodland paths are dry,
Under the October twilight the water
Mirrors a still sky;
Upon the brimming water among the stones
Are nine-and-fifty swans.
The nineteenth autumn has come upon me
Since I first made my count;
I saw, before I had well finished,
All suddenly mount
And scatter wheeling in great broken rings
Upon their clamorous wings.
. . . Yeats' complete poem is available here at PoetryFoundation.org.
Wednesday, September 8, 2021
Ohio poet Cathryn Essinger has a twin brother who is a mathematician -- and links to mathematics sometimes appear in her poetry. Here are the opening lines of a poem I especially enjoy -- the complete poem appeared in Poetry Magazine in 2002 and is available online here.
My Dog Practices Geometry by Cathryn Essinger
I do not understand the poets who tell me
that I should not personify. Every morning
the willow auditions for a new role
outside my bedroom window—today she is
Clytemnestra; yesterday a Southern Belle,
lost in her own melodrama, sinking on her skirts.
Nor do I like the mathematicians who tell me
I cannot say, "The zinnias are counting on their
fingers," or "The dog is practicing her geometry,"
even though every day I watch her using
the yard's big maple as the apex of a triangle
from which she bisects the circumference
. . . To continue reading, follow this link.
Monday, September 6, 2021
Back in the 90's when I participated in several poetry workshops at Pennsylvania's Bucknell University, one of my fellow-students was Declan Synott and here -- found on Facebook -- is one of his poems, a mathy poem.
Plowing by Declan Synott
In Brush Valley, near Rebersburg,
a four-mule team pulls the furrow,
and a 15 year old Amish boy stands atop the plow.
He is part of the leather harness,
leads to each animal.
It’s a controlled chore. Methodical and mathematical.
If you were to do the math, you’d know
that it will take 38 passes,
east to west, west to east to till this pasture.
The job requires all of the morning
and a good part of the afternoon.
He swings at a horsefly’s bite, aligns his shoulders
and keeps the animals moving.
The soil breaks fresh, a dark rich brown,
a dust plume in his wake.
Tuesday, August 31, 2021
In the 1970's I had access to birth control and was fortunate to be able to be involved with adoption of children rather than abortion. And I am saddened when a child is born into a world that has no plan of care for her or him. Recent attempts to forbid abortion give me grave concerns -- concerns shared long ago in poems, using syllable-count patterns to control my ranting. Here is one of these poems (also posted earlier in this blog).
Monday, August 30, 2021
On the opening pages of a Springer Reference, Handbook of the Mathematics of the Arts and Sciences, we find a list of 107 fascinating titles -- including two that link mathematics and poetry:
"Mathematics and Poetry -- Arts of the Heart" by Gizem Karaali and Lawrence M. Lesser
"Poems Structured by Mathematics" by Daniel May
Even for those of us who lack access to the Springer volume, the abstracts found at the links above offer lots of valuable references -- and contact information for the authors.
AND, if you are on Twitter, you can enjoy palindromes and other constrained verse by Anthony Etherin ( @Anthony_Etherin ) -- an author whose latest book has the title SLATE PETALS.
Wednesday, August 25, 2021
One of my daily emails is poem-a-day from poets.org -- and yesterday's poem surprised me with the word "mathematics" appearing 4 times in its 28 lines. Here are several lines:
from Hunter heart a lonely is the by Kyle Dacuyan
child in a novel that has neither person nor a substance
music mathematics is a dream makes me see myself
more loving when I listen makes my heart go
the hunter and a lonely Remembering is a mathematics
and the body in its illnesses the stamina has symphonic
calculus of living in a sickness I can listen now
. . .
Dacuyan's complete poem -- for reading aloud and contemplation -- is available here.
Monday, August 23, 2021
wearing the mask
Here is a link to Kempton's collection 3-CUBED: MATHEMATICAL POEMS 1975-2003.
Wednesday, August 18, 2021
Numerical patterns can help guide our minds and fingers to create poems -- and one of the patterns I like is the Fibonacci numbers -- a number sequence for which the first non-zero numbers are both 1, and each succeeding number is the sum of the two preceding numbers.
1, 1, 2, 3, 5, 8, 13, 21, 34, . . .
Formation of a six-line poem using the first 6 of these numbers as syllable-counts, gives a tiny poem that has been named a Fib.
For me, using these Fibonacci numbers -- starting small and growing -- as syllable counts offers a nice structure for developing my thoughts around a particular topic. I like it for myself (a couple examples below) and I suggest to my students when I am asking them to share their math-related viewpoints.
is mathy is mathy
what are the chances what are the chances
that interest is passed to you? that interest is passed to you?
These days I celebrate the fact that I have granddaughters who like math!
Monday, August 16, 2021
The BRIDGES Math-Arts organization held its 2021 conference (early in August) online -- and, although many of the meetings were available only to registrants, archives of papers are available at this link to all who are interested.
BRIDGES papers and events that link poetry and mathematics have been thoughtfully publicized by University of Connecticut emeritus professor Sarah Glaz who has created a webpage "Mathematical Poetry at Bridges" for that purpose. On that webpage are links to pages for individual Bridges conferences as far back as 2010 -- with poetry involvement in the conferences increasing in the later years. Here is a link to "Mathematical Poetry at Bridges 2021" -- a page with links to sample poems from more than 30 poets and also video readings of numerous poems. VISIT the site and savor the poems.
Below I offer one of the poems from the Bridges 2021 site. Playing with various ideas of "infinity" poet and math teacher Amy Uyematsu has created "This Thing Called Infinity" -- and she given me permission to offer it here.
This Thing Called Infinity by Amy Uyematsu
Friday, August 13, 2021
Every six months the Journal of Humanistic Mathematics offers a new online issue and includes a generous offering of mathy poems. Here is a link to the current issue (Vol, 11, No, 2, July 2021) and I offer --after a sample, which features a type of algebra problem -- the titles, authors, and links to JHM mathy poems.
Train Algebra by Mary Soon Lee
Do not use a calculator. Show your work.
Haruki leaves Chicago Union Station at 10:42 pm
on a train traveling at 60 miles per hour.
At 10:33 pm, Haruki boards the train.
He’s abandoned his job,
his collection of cactuses;
has only his cell phone, his wallet,
and a dog-eared paperback.
He walks through two carriages
before finding an open seat,
apologizes as he sits down
beside a woman his mother’s age.
The woman glares at him.
Monday, August 9, 2021
Back in 2007, 350 parts per million was the "safe upper limit" for CO2 in our atmosphere -- a figure presented by NASA scientist Jim Hansen in December 2007 and widely agreed upon. From that number the website 350.org was born. On October 24, 2009, 350 Poems celebrated an international day of climate action with a posting, from poets all around the world, of 350 poems of 3.5 lines each -- each responding to concern for man-made climate change. My own entry (#265 here in the listing) I offer below.
It's sad news that recent data (more than 400 ppm of CO2 in our atmosphere) verifies our greedy disregard of this important warning. What can we do?
The Spider (265/350) by JoAnne Growney
Spinner of intricate, twenty-inch silk food snares.
Twenty inches — not fifty or two hundred.
She knows the limits to her senses. Humans
keep building bigger webs.
This 3.5 line poem was first posted almost ten years ago (here at this link).
Tuesday, August 3, 2021
One of the timeless treasures on my bookshelves is a complete collection of work by Lewis Carroll
(pen name for Charles Lutwidge Dodgson, 1832-1898) -- writer, puzzler,
math guy . . . Here's a poem I found in "Answers to Knot 1" in A Tangled Tale. (The problem, Knot 1, is stated below the poem.)
from A Tangled Tale a response (by authors named below) to a puzzle posed by Lewis Carroll
The elder and the younger knight
They sallied forth at three;
How far they went on level ground
It matters not to me;
What time they reached the foot of hill,
When they began to mount,
Are problems which I hold to be
Of very small account.
Saturday, July 31, 2021
Because this blog has more than a thousand posts, spread over more than eleven years of posting, finding best information can be challenging. The SEARCH feature in the right-hand column) and this linked file of names of poets and math-people and blog-content topics can be useful. And, when time permits, browsing offers lots of fun. Here, for the curious are the TOP TEN postings -- that is the postings that have had the most visitors since the blog's beginning in March, 2010.
These are titles and links to the ten posts most visited in this blog since its beginning in 2010.
from September 2, 2010 Rhymes help to remember the digits of Pi
from October 13, 2010 Varieties of Triangles -- by Guillevic
from March 29, 2010 "Mathematical" Limericks
from February 11, 2011 Loving a mathematician (Valentine's Day and . . . )
from September 29, 2017 Poetry . . . Mathematics . . . and Attitude
from February 18, 2011 Srinivasa Ramanujan
from January 8, 2016 The world is round . . . or flat!
from February 22, 2011 Poems of set paradox and spatial dimension
from June 22, 2021 Interpreting Khayyam -- in Rhyme
from April 19, 2010 Poems with Fibonacci number patterns
Friday, July 23, 2021
Recently I have been revisiting the poems that Sarah Glaz and I collected for the anthology, Strange Attractors: Poems of Love and Mathematics (AK Peters / CRC Press, 2008) and renewing my enjoyment of them. Here, from page 146, is a sample.
The Proof by Theodore Deppe
I could live like this, waiting on the roof
for the great egret that flies overhead
at just this time, measuring the sun's height
with my fingers to see if the moment's come,
Annie studying the horizon as she describes
the last minutes of a show she watched
in which some mathematician -
she didn't catch the name - labours seven years
to solve a proof he's been enthralled by
since childhood, and though Annie tuned in
too late to know the nature of the problem,
she loves the pure joy with which he looks
into the camera and announces, I've found it -
there are tears in his eyes - I've found it.
Wednesday, July 21, 2021
Where dyads tread the fairy fields of Venn,
Their indices bedecked from one to n
Commingled in an endless Markov chain!
Come, every frustum longs to be a cone
And every vector dreams of matrices.
Hark to the gentle gradient of the breeze:
It whispers of a more ergodic zone.
Monday, July 19, 2021
One of my early math-poetry connections was with applied mathematician John Lew (1934-2006) who contributed often to the Humanistic Mathematics Network Journal (predecessor of the Journal of Humanistic
Mathematics -- in which this blog finds frequent math-poetry gems.) With a doctorate in physics, Lew worked in applied mathematics for many years at the IBM Watson Research Center -- and maintained interests in literature and music, serving for a time as poetry editor of the Mensa Bulletin. His sonnet below comes from his 1996 HMNJ article, "On Mathematics in Poetry." Lew's complete article is available here.
The Comet by John Lew
Near from infinity I came
Drawn to your strong, unmoving light
By some ascendance of its flame
That charms the planets through their night.
The distance melts, my spirit thaws,
Sublimes, and in your radiance flies
Soon, by the old, unchanging laws,
An exhalation through the skies.
Sweet perihelion! May we touch,
Our auras intermingle? No,
The impulse of my flight too much,
I must again to darkness go;
While you may stand, and watch my face
Dwindle through trans-Plutonian space.
An interesting controversy arose between Lew and me -- here is a link to a letter he wrote about a math-poetry "quiz" that I developed that had appeared in the American Mathematical Monthly (quiz available here).
Wednesday, July 14, 2021
At the website KOMPLEXIFY! a mathematician named Travis celebrates his love of mathematics in various ways, including humor and verse. He supplies lots of limericks and parodies, including Tom Lehrer's parody of "That's Entertainment" entitled "That's Mathematics" which I offer below. (Here is a link to the rich list of Travis' poetic postings.)
That’s mathematics! by Tom Lehrer
When you’re trying to sleep,
When there’s something to share,
When you’re folding a sheet,
When a ball
Bounces off of a wall,
When you cook
From a recipe book,
When you know
How much money you owe,
Monday, July 12, 2021
A couple of weeks ago I posted information about prize-winning poetry in the Writing portion of the 2021 MoMath Steven Strogatz Contest for high school students. After finding that I began to look for the results of earlier contests. Apparently 2020 was the first year of these contests and in that year, also, poems were winners -- limericks (with related drawings) by Sarah Thau. “Limericks and poetry are not a typical way to convey information about
math,” admits Thau, “but I think it makes it more palatable than
learning functions by rote. Who doesn’t love a limerick?”
From her winning collection, entitled "Little Function Limericks," here is a sample of Thau's work:
|The entire collection of Thau's limericks is found here.|
Wednesday, July 7, 2021
Mathematicians are not always white and nerdy and male . . . but, for the others who dare to specialize in science and mathematics, there are many stereotypes that need to be busted. Written by Gioia De Cari, a former MIT student, the play "Truth Values" reveals a woman's experience as a student in a male-science environment. And the documentary film, "Picture a Scientist" describes the unequal treatment -- and payment -- of female professors.
While you are seeking ways to view Truth Values and Picture a Scientist perhaps you will want to write down some of your own views; while you are gathering your thoughts, here are three of my syllable-square stanzas about women in math to reflect on.
|Syllable-square thoughts about Math Women|
Tuesday, July 6, 2021
Sometimes the specific nature of counting can help us, for a bit of time, to steer our thoughts for away from sadness. Here is a poem in which numbers give a grieving partner a framework through which to speak. (This selection is from The Widows' Handbook (Kent State University Press, 2014), an anthology gathered and edited by Jacqueline Lapidus and Lise Menn.)
Camp Numbers by Barbara Bald
I’ve been in these woods seven days,
fed our fish twelve shrimp pellets,
filled two hummingbird feeders with red juice,
given our cat ten doses of pink medicine.
I’ve live-trapped twenty-eight field mice
with the Tin Cat trap you bought,
rescued our Brittany’s toy four times from the river,
seen one person, the gas man fixing the fridge, in two days.
I’ve written thirteen poems,
five about your untimely death,
cleaned six cabinets to rid rodent remnants,
replaced one roll of toilet paper in the outhouse.
I am still waiting for one of you.
Learn more about poet and educator and nature-lover Barbara Bald here at her website.
Thursday, July 1, 2021
BROWSE and ENJOY!
Back in January 2020 I gathered a list of titles of previous posts and posted it here at this link. And below I offer titles of postings -- with links -- since that time.
you are invited to explore the SEARCH feature in the right-hand column
OR to browse the list of Labels (also to the right) -- and click on ones that interest you.
Monday, June 28, 2021
Recently I have learned -- through Mo-Math (National Museum of Mathematics) -- of the of the Steven H. Strogatz Prize -- recognizing high school students for outstanding math communication projects. Winners for the 2021 Contest were announced yesterday -- and information about upcoming contests is available here.
This year's Strogatz winner in the Writing category was a poem by Julia Schanen, entitled "Math Person." Below I offer Schanen's opening lines -- and the sample is followed by a link to the full text of her poem -- of mathematics and of the painful isolation that a 10th grade math girl often feels.
Friday, June 25, 2021
Expressing love with mathematical terminology is beautifully done in "One More Love Poem" by Dunya Mikhail -- this poem was offered by poets.org in their poem-a-day feature on April 2, 2021 and it deserves to be widely shared.
One More Love Poem by Dunya Mikhail
If I had one more day
I would write a love poem
composed of one word
repeated like binary code.
I’ll multiply it by the number
of days that passed
without saying it to you
and I’ll add the days
Tuesday, June 22, 2021
Eleventh century Persian scholar Omar Khayyam (1048-1131) is described by Wikipedia as a polymath -- he was a mathematician, astronomer, philosopher and poet (and the foregoing Wikipedia link summarizes his accomplishments). My former colleague, Reza Noubary, a math-stat professor at the Bloomsburg (PA) University, shares Khayyam's Persian heritage and also has a wide variety of achievements; one of his recent adventures has been with poetry. In 2020 his poetry collection, Feelings and Dealings, appeared -- and this year has brought forth his collection Khayyam in Rhyme (Fulton Books, 2021).
Khayyam in Noubary's volume is revealed as a mathematician through his thought-patterns more than through his words. Here is an intriguing sample from Chapter 1 (available for online browsing here); this sample shows first, the original Farsi, followed by two "translations"of the four that are offered):
Monday, June 21, 2021
Can our world be described using calculus?
The poem-a-day offering this morning (6/21/21) from poets.org gives me new ideas about describing a problem-situation using some terms from mathematics. I offer part of the poem below, followed by a link to the complete work.
from Disintegrating Calculus Problem by McKenzie Toma
A dramatic clue lodged in a rockface. Set in a shimmering sound belt slung around the grasses. Collections of numbers signify a large sum, a fatness that cannot be touched. Numbers are heart weight in script. Calculus means a small pebble pushed around maniacally. Binding affection, instead of fear, to largeness.
Ideas are peeled into fours and pinned on the warm corners of earth to flap in a wind. Wind, the product of a swinging axe that splits the sums. This math flowers on the tender back of the knee. . . . .
Thursday, June 17, 2021
One of the treasures on my bookshelf is Images of a Complex World: The Art and Poetry of Chaos by University of Wisconsin poet Robin Chapman and physicist Julien Clinton Sprott (World Scientific, 2005). The following image by Sprott accompanies a poem entitled "The Traveling Salesman's Problem is NP-Difficult." Beneath the art, I offer the poem's opening lines -- and the complete poem and other art-poetry samples from the collection are available at this link.
|an image of chaos by Julien Clinton Sprott|
Monday, June 14, 2021
One of my recent book-acquisitions is The Woman who Smashed Codes by Jason Fagone -- a story of Elizebeth Smith Friedman who transitioned from teaching and scholarship to codebreaking and became a hero of the National Security Agency during the much of the first half of the twentieth century.
In this book I have found (on page 91, discussion of some of the ideas of information-theory pioneer Claude Shannon; the story of Elizebeth includes telling of her meeting and falling in love with another codebreaker, William Friedman, and Fagone brings Shannon into the story with this remark:
. . . according to Shannon, making yourself understood by another person
is essentially a problem in cryptology ... When you fall in love, you develop
a compact encoding to share mental states more efficiently, cut noise,
and bring your beloved closer. All lovers, in this light, are codebreakers . . .
Also connecting love and mathematics is a poetry anthology from more than a dozen years ago -- a collection that I helped Sarah Glaz to gather and edit (and now available as an e-book): Strange Attractors: Poems of Love and Mathematics (A K Peters/CRC Press, 2008). On page 135, these cryptic lines from Rafael Alberti, used as an epigraph for the poem "Mathematics" by Hanns Cibulka.
And the angel of numbers
from 1 to 2.
Thursday, June 10, 2021
Millions of Brood X 17-year cicadas have recently emerged in the Washington, DC area and they are the subjects of laughter, fear, recipes, and so on. (Wikipedia information about these cicadas is available here.) Washington Post writer John Kelly has asked readers to celebrate the cicadas with verse -- and below I offer one of the Haiku that Kelly gathered recently.
|Found here in The Washington Post|
Tuesday, June 8, 2021
The title of this blog-post is part of a headline from The Washington Post -- a headline for a review by GW Professor Lisa Page of a posthumously published and recently released memoir by Katherine Johnson (1918 - 2020) : My Remarkable Journey: A Memoir, written with assistance from Joylette Hylick, Katherine Moore and Lisa Frazier Page (Amistad, 2021).
As you might expect, numbers are at the center of Johnson's memoir -- numbers never intimidated Johnson — in fact, they thrilled her. The symmetry, the structural interplay of equations and formulas, were always in her head. (Read a bit of the book here.)
As Johnson looked back over her life of more than one hundred years, I too was prompted to looks back -- to an article of mine entitled "MATHEMATICS AND POETRY: ISOLATED OR INTEGRATED?" and published in the Humanistic Mathematics Network Newsletter (forerunner of the Journal of Humanistic Mathematics) in May, 1991 -- and available here. And I can't resist quoting a bit from the article, sharing some phrases from the poem "Poetry" by Marianne Moore (1887-1972).
. . . things are important not because a
high-sounding interpretation can be put upon them
but because they are useful . . . the same thing
may be said for all of us—that we do not admire
what we cannot understand.
[Not until we] can present for inspection,
imaginary gardens with real toads in them
shall we have it . . .
Friday, June 4, 2021
EINSTEIN: A PARODY IN THE MANNER OF EDW-N MARKH-M
We drew our circle that shut him out,
This man of Science who dared our doubt.
But ah, with a fourth-dimensional grin
He squared a circle that took us in.
Untermeyer's lines first appeared in his Collected Parodies. Here is a link to a second edition (1997) of The Mathematical Magpie (for which the title page description includes: stories, subsets of essays, rhymes, anecdotes, epigrams . . . rational or irrational . . .)
Tuesday, June 1, 2021
Teacher-poet-musician Glen Brown has shared with me his mathy poem that has for its epigraph a controversial line once spoken (back in 1992) by Mattel's Teen Talk Barbie. Brown makes playful use of a variety of math terms but with an somewhat sexist point of view.
Euclid and Barbie by Glen Brown
Math class is tough.
Sure it doesn’t add up:
countless camping and skiing trips with Ken,
swimming and skating parties without danger,
dancing and shopping engagements
with Midge and Skipper
like an infinite summer vacation.
Nothing here hints at a dull math class
for integral Barbie and her complex playmates!
Saturday, May 29, 2021
Wednesday, May 26, 2021
You send me showers of verses, which I receive with much pleasure, as do we all; yet have we fears that this employment may seduce you from the path of Science, which you seem so destined to tread with so much honour to yourself and profit to others. Again and again I must repeat, that the composition of verse is infinitely more of an art than men are prepared to believe, and absolute success in it depends upon innumerable minutia, which it grieves me you should stoop to acquire a knowledge of.
Current investigation into the life of Hamilton has suggested that parts of Graves' work has been misinterpreted and that -- over time -- Hamilton's reputation has undeservedly declined; here is a link to a 2017 article by Anne van Weerden and Steven Wepster, "A most gossiped about genius: Sir William Rowan Hamilton" -- an article that adds new insights into the Hamilton story.
Monday, May 24, 2021
Lawrence "Larry" Lesser is a professor in the Mathematical Sciences Department at the University of Texas in El Paso and a widely published creator of mathy poems. Here are the opening stanzas of a poem that appeared in the Winter 2021 issue of Teaching for Excellence and Equity in Mathematics (TEEM), a journal of the NCTM affiliate organization TODOS: Mathematics for ALL.
₵EL by Lawrence Mark Lesser
Cancel is from Latin for ‘make like a lattice’,
like crisscrossed wood fencing
in our backyard where we safely
dine with friends,
or like COVID-caused crossouts
a cancelled appointment (dis-appointment)
or music event (dis-concerting).
Teachers don’t like saying ‘cancel’
lest students get carried away,
cancelling sixes of 26/65,
which does equal two-fifths
Friday, May 21, 2021
New York's Museum of Mathematics celebrated National Limerick Day on May 12 with an online program of contributors reading their mathy limerick stanzas. I did not learn of the reading in time to apply for participation but here is a sample I might have submitted.
In baseball the diamonds are square--
And the ball has the shape of a sphere.
Nine guys make a team--
So, two teams make eighteen--
And fans cheer when plays come in pairs.
The limericks read at the May 12 MoMath program may be found here -- and here is a link to the results of a SEARCH in this blog for "limerick." The sample offered above was posted long ago, back in April 2010.
Wednesday, May 19, 2021
Dividing Together by Adaobi Chiemelu
The cake was holy communion
You picked one piece not fatter than your two fingers
You watched as the next person went on to do same
and put the same in their mouth
You thought of pi
Monday, May 17, 2021
The first steps in mathematics . . . COUNTING!
I grew up on a farm and keeping track by counting happened often -- counting chickens, counting sheep, counting the number of weeks until the early transparent apples will be ripe . . . and when I read Tom Wayman's poem in Poet Lore I found a similar habit of relentless counting. I have not been able to obtain more than short-term permission for posting -- and so I offer here just a sample and, beneath, a a link to the full poem.
from Fifty Years of Stacking Chairs by Tom Wayman
Two of these chairs at a time
are easily manageable, so back at the empty rows
I fold three and haul them with both hands
across the space. Next trip I try
four: fingers on each hand curved
under the metal backrests of
two chairs. Fifty years
Thursday, May 13, 2021
During recent days, one of my special enjoyments has been finding time to read Marian Christie's blog -- a delightful collection of poetry and poetic musings with frequent connections to mathematics. Christie's biographical sketch (available here) indicates that she, like me, grew up enjoying both poetry and math. She became a math teacher and, after her years of teaching ended, she turned her attention to poetry. Below I present a sample of her mathy poetry, followed by links to several of her postings.
Today, in a season that is approaching summer, I coolly offer Christie's "Midwinter" poem (found here in her blog) -- a stanza in which the poet uses Pascal's triangle to pattern her words:
|a Pascal-triangle poem -- find it and lots of other mathy poems here.|
Here, next, are links to several of Christie's math-poetry blog postings. ENJOY!
Monday, May 10, 2021
|Book info available at this link.|
With my head in an oven
And my feet on some ice,
I’d say that, on average,
I feel rather nice!
Read more and enjoy . . .
Thursday, May 6, 2021
Ideas become internalized when we WRITE about them -- and I encourage students AND all of us to write about climate change and efforts to save our planet. And then to act on our words! Here are three small syllable-squares, first appearing in a post more than ten years ago and expressing my ongoing concerns for precarious imbalances we have created within our natural environment.
Monday, May 3, 2021
2 year's the
4 birthday of the
6 for Women in Mathe-
7 matics. Join celebrations --
8 hear lectures, game with playing cards,
9 interview, write essays that feature
10 math women you admire. Speak up -- cheer girls
11 who do well in math class; look back, remember,
12 laud stars of the past -- support A W M.
The Association for Women in Mathematics (AWM) is a national organization devoted to encouraging women and girls to study and to have active careers in the mathematical sciences, and to promote equal opportunity and the equal treatment of women and girls in the mathematical sciences. Founding in 1971 and celebrating math-women with outreach, networks and partnerships, playing cards, essay contest (for students in middle school through college) . . . and so much more.