Australian poet Erica Jolly has alerted me to Lapham's Quarterly -- a magazine, both print and digital, that offers the view that history is the root of all education. In particular, Jolly directed me to Lapham's presentation of "Sense and Nonsense: Babies cannot manage crocodiles" by Lewis Carroll. One of the Lewis Carroll logic puzzles presented therein relates to poetry -- and so I offer it here:
1. No interesting poems are unpopular among people of real taste;
2. No modern poetry is free from affectation;
3. All your poems are on the subject of soap bubbles;
4. No affected poetry is popular among people of real taste;
5. No ancient poem is on the subject of soap bubbles.
Answer: All your poems are uninteresting.
That the Answer/Conclusion follows using the rules of logic requires some calculations which the interested reader is invited to pursue. A solution (and additional puzzles) may be found here.
Monday, November 13, 2017
Thursday, November 9, 2017
Stop saying GIRLS can't do MATH
Found at Poets.org, this poem by Brenda Cárdenas that, like too many others portrays a girl in a can't do-math situation. Another aspect of the poem, however, is its Spanish-language descriptions of Hispanic contributions to mathematics. And, despite my protest, I find this a lovely poem and worth sharing.
Calculations by Brenda Cárdenas
“I don’t know what to tell you.
Your daughter doesn’t understand
math. Numbers trouble her, leave
her stuck on ground zero.”
Y fueron los mayas
quienes imaginaron el cero,
un signo para nada, para todo,
en sus gran calculaciones.
Is zero the velvet swoop into dream,
the loop into plumes of our breath?
Calculations by Brenda Cárdenas
“I don’t know what to tell you.
Your daughter doesn’t understand
math. Numbers trouble her, leave
her stuck on ground zero.”
Y fueron los mayas
quienes imaginaron el cero,
un signo para nada, para todo,
en sus gran calculaciones.
Is zero the velvet swoop into dream,
the loop into plumes of our breath?
Monday, November 6, 2017
Mathematics -- vital imagery in SO MANY poems . . .
Mathematics not only governs the structure of many poems -- of sonnets and pantoums and villanelles and more -- but mathematical imagery is an increasingly vital ingredient of the content. Australian poet and STEAM advocate Erica Jolly has recently alerted me to the most recent issue (Volume 83) of the online journal Cordite Poetry Review -- the theme of this issue: its opening essay, its 60 poems -- is mathematics. Follow this link to Cordite and explore.
An important resource for anyone seeking poetry-with-mathematics is the Journal of Humanistic Mathematics -- an online journal in which each biannual issue contains a varied selection of poems. Here is a link to the July 2017 issue for you to explore.
The humanistic side of mathematics has been explored for many years by the online British journal plus -- available here. Perhaps you'd like to read an article on "the mathematics of kindness" or survey their articles, videos and podcasts about math-women or read a math-poetry book review -- all this and so much more at plus.
An important resource for anyone seeking poetry-with-mathematics is the Journal of Humanistic Mathematics -- an online journal in which each biannual issue contains a varied selection of poems. Here is a link to the July 2017 issue for you to explore.
The humanistic side of mathematics has been explored for many years by the online British journal plus -- available here. Perhaps you'd like to read an article on "the mathematics of kindness" or survey their articles, videos and podcasts about math-women or read a math-poetry book review -- all this and so much more at plus.
AND, when your time permits, browse here in my blog --
with more than 900 postings, much variety is offered.
Scroll down OR use the SEARCH box. Explore!
Friday, November 3, 2017
Probability and astonishment
A small poem by Lia Purpura in the January 29, 2015 issue of The New Yorker delights even as it highlights the errors that many of us make in supposing that coincidences -- such as meeting some home town friend in a distant vacation spot -- are rare rather than probable.
Probability by Lia Purpura
Most coincidences are not
miraculous, but way more
common than we think--
it's the shiver
of noticing being
central in a sequence
Probability by Lia Purpura
Most coincidences are not
miraculous, but way more
common than we think--
it's the shiver
of noticing being
central in a sequence
Monday, October 30, 2017
Churchill -- Love and Information
On a recent Thursday evening at the Forum Theatre in downtown Silver Spring I had the exciting privilege of seeing a splendid staging of Caryl Churchill's play, Love and Information. Directed by Michael Dove and starring 14 versatile actors, this 57-scene play kept moving from one arresting moment to another. Many of the scenes were poetic and several were substantially mathematical. For example:
Mathematics in a scene from Caryl Churchill's Love and Information |
Labels:
Caryl Churchill,
Forum Theatre,
Michael Dove
Friday, October 27, 2017
Moving from STEM to STEAM in Australia
"Poets," said Australian writer and teacher Erica Jolly, "find their themes in what matters to them." This quote is taken from Jennifer Strauss's introduction to Jolly's poetry collection, Making a Stand (Wakefield Press, 2015). Erica Jolly is a retired teacher of history and English in southern Australia and works tirelessly toward ending the segregation between STEM disciplines and the arts and humanities. In the lines below (taken from Making a Stand), Jolly is responding to words from former Chief Scientist Professor Ian Chubb who has said, speaking of mathematics, that he wants "all of us in the same tent."
Erica Jolly: If he does, we must remove segregation of students
into supposedly separate cultures of science and mathematics versus
the arts and humanities as well as the unwillingness for STEM
to make interdisciplinary connections.
Don't I as one of those deemed
inappropriate for that elite
have the right to access
their language?
to algebra, that Arabic word,
giving me letters in place
of apples or oranges to
solve problems
Erica Jolly: If he does, we must remove segregation of students
into supposedly separate cultures of science and mathematics versus
the arts and humanities as well as the unwillingness for STEM
to make interdisciplinary connections.
Don't I as one of those deemed
inappropriate for that elite
have the right to access
their language?
to algebra, that Arabic word,
giving me letters in place
of apples or oranges to
solve problems
Wednesday, October 25, 2017
November 1 deadline for Math Haiku
The Journal of Humanistic Mathematics has issued a call for Mathematical Haiku -- follow this link for the guidelines and instructions on how to submit your work. Since I did not, at first, understand that the submission request is for only three Haiku, I gathered more. Here are several of my leftovers -- involving multi-syllabic mathematical terms -- that I was not able to include in my submission:
Algebra
axiomatic
associativity
isomorphism
Calculus
differentiate
enthusiastically
conditionally
Geometry
non-Euclidean
axiomatization
parallelism
Tuesday, October 24, 2017
The Eyes of Isaac Newton . . . and so on
A couple of weeks ago, Irish poet-physicist Iggy McGovern read here in the DC area and introduced readers to his new poetry collection The Eyes of Isaac Newton (Dedalus Press, 2017). McGovern's poems involve a wide variety of scientific topics: vision and color, genetics, quantum theory, and so on -- peopled with scientists and poets -- an amazing variety of topics and verses, scientifically accurate yet accessible to a non-scientist reader.
McGovern's poems sometimes turn to humor and below I feature three examples of his clerihew.
liked to opine:
"It's not very nice
Of God to play dice."
McGovern's poems sometimes turn to humor and below I feature three examples of his clerihew.
From Wikpedia (edited): A clerihew is a whimsical, four-line biographical poem --
the first line gives the name of the poem's subject, usually a famous person who at whom fun will be poked.
The rhyme scheme is AABB, and the rhymes are often forced. The line length and metre are irregular.
Because none of McGovern's clerihew feature women, I insert one of my own,
about unheralded 20th century codebreaker Elizabeth Smith,
subject of The Woman Who Smashed Codes by Jason Fagone (Harper Collins, 2017).
Elizabeth Smith,
poet, technologist,
code breaker, Nazi exposer--
and, alas, no one knows her.
And, from Iggy McGovern:
Albert Einsteinliked to opine:
"It's not very nice
Of God to play dice."
Friday, October 20, 2017
Perfectly Matched -- Poetry and Mathematics
Mathematician Sarah Glaz has recently published a lovely and varied collection of math-linked poetry -- choosing her title, "Ode to Numbers," to echo Pablo Neruda. That Neruda poem is one that Glaz and I have long-loved -- it is included in our anthology, Strange Attractors: Poems of Love and Mathematics (AK Peters/CRC Press, 2008).
In recent days I have much enjoyed reading -- and rereading -- the variety of poems included in Glaz's new collection Ode to Numbers (Antrim House, 2017). The publisher's author-page includes several sample poems and one of them, "A Woman in Love," offers this appropriate self-description:
I see a streak of mathematics
in almost everything.
Glaz's poetry takes a reader to childhood days in Romania, to mathematics conferences, to a variety of topics in the history of mathematics, and to the inner workings of a beautifully creative mathematical mind. One of my personal favorites among poetic forms is the pantoum -- I love the way that permuted repetition of phrases offers surprising new meanings -- and Glaz's collection offers several of these. Earlier in this blog (at this link) I posted "A Pantoum for the Power of Theorems" and below, with permission, I offer "Mathematical Modeling."
Mathematical Modeling by Sarah Glaz
Mathematical modeling may be viewed
As an organizing principle
That enables us to handle
A vast array of information
In recent days I have much enjoyed reading -- and rereading -- the variety of poems included in Glaz's new collection Ode to Numbers (Antrim House, 2017). The publisher's author-page includes several sample poems and one of them, "A Woman in Love," offers this appropriate self-description:
I see a streak of mathematics
in almost everything.
Glaz's poetry takes a reader to childhood days in Romania, to mathematics conferences, to a variety of topics in the history of mathematics, and to the inner workings of a beautifully creative mathematical mind. One of my personal favorites among poetic forms is the pantoum -- I love the way that permuted repetition of phrases offers surprising new meanings -- and Glaz's collection offers several of these. Earlier in this blog (at this link) I posted "A Pantoum for the Power of Theorems" and below, with permission, I offer "Mathematical Modeling."
Mathematical Modeling by Sarah Glaz
Mathematical modeling may be viewed
As an organizing principle
That enables us to handle
A vast array of information
Tuesday, October 17, 2017
The best words in the best order . . .
Perhaps the way to link this couplet by Richard Wilbur (1921-2017) to mathematics is by referring to the notion of subset. Wilbur is a favorite poet of mine, and he recently has died.
“Because he swings so neatly through the trees” by Richard Wilbur
Because he swings so neatly through the trees,
An ape feels natural in the word trapeze.
I found these lines at PoetryFoundation.org and they are included in Wilbur's collection of illustrated wordplay, The Pig in the Spigot (Voyager Books, 2004). Wilbur has been mentioned previously in this blog -- to explore, you may use the SEARCH box in the right column or follow this link.
“Because he swings so neatly through the trees” by Richard Wilbur
Because he swings so neatly through the trees,
An ape feels natural in the word trapeze.
I found these lines at PoetryFoundation.org and they are included in Wilbur's collection of illustrated wordplay, The Pig in the Spigot (Voyager Books, 2004). Wilbur has been mentioned previously in this blog -- to explore, you may use the SEARCH box in the right column or follow this link.
mathematics is . . . the best words in the best order . . . is poetry
Friday, October 13, 2017
Mathy Double Dactyls
The double dactyl is, like the limerick, a fixed verse form -- and one that is often humorous. From Wikipedia's, we have this initial requirement: "There must be two stanzas, each comprising three lines of dactylic dimeter ( ¯ ˘ ˘ ¯ ˘ ˘ ) followed by a line consisting of just a choriamb ( ¯ ˘ ˘ ¯ ) . . ." As the samples below illustrate, a double dactyl involves both nonsense and multi-syllabic words -- a non-trivial challenge; visit Wikipedia to learn more.
The verses below are by Arthur Seiken, Emeritus Professor at Union College and I found them (with the help of editor Marjorie Senechal) in a 1995 issue of The Mathematical Intelligencer (Vol 17, No 2, p 11).
If you want to see more of this poetic form, here are links to follow: "Mathematical Double Dactyls" by Tristan Miller from the July 2015 issue of the Journal of Humanistic Mathematics and the Higgeldy Piggeldy verse collection of Robin Pemantle. And, again, here is a Wikipedia link that supplies formal details of these verses.
The verses below are by Arthur Seiken, Emeritus Professor at Union College and I found them (with the help of editor Marjorie Senechal) in a 1995 issue of The Mathematical Intelligencer (Vol 17, No 2, p 11).
If you want to see more of this poetic form, here are links to follow: "Mathematical Double Dactyls" by Tristan Miller from the July 2015 issue of the Journal of Humanistic Mathematics and the Higgeldy Piggeldy verse collection of Robin Pemantle. And, again, here is a Wikipedia link that supplies formal details of these verses.
Friday, September 29, 2017
Poetry . . . Mathematics . . . and Attitude
Outwitted by Edwin Markham (1852-1940)
HE DREW a circle that shut me out—
Heretic, rebel, a thing to flout.
But Love and I had the wit to win:
We drew a circle that took him in!
Today I invite you to browse -- scroll down to look at recent posts and find something of interest OR use the SEARCH box to find lines by a particular poet or ones that feature particular mathematical terms. Your search/scroll also can find poems that celebrate math-women and ones that protest abuse of our environment. THANK YOU for coming here to read.
HE DREW a circle that shut me out—
Heretic, rebel, a thing to flout.
But Love and I had the wit to win:
We drew a circle that took him in!
Today I invite you to browse -- scroll down to look at recent posts and find something of interest OR use the SEARCH box to find lines by a particular poet or ones that feature particular mathematical terms. Your search/scroll also can find poems that celebrate math-women and ones that protest abuse of our environment. THANK YOU for coming here to read.
Wednesday, September 27, 2017
Alice's Adventures in Numberland
Recently I was alerted to some postings by Alice Silverberg -- she is a professor of mathematics and computer science at the University of California at Irvine and she is has made outstanding contributions to the field of Cryptography. AND Silverberg has recently written down (at this link) some of her adventures as a math-woman. She has entitled them "Alice's Adventures in Numberland" and she offers an email address for readers' comments. ALSO here are links to two of my earlier postings featuring Alice Silverberg and poetry: "A Quantum Romance" by Adam Rulli-Gibbs and several syllable snowballs.
As a recent film featuring NASA mathematician, Katherine Johnson,
points out, math-women often are:
Hidden figures:
women no one
notices are
changing the world.
Although not mathematical, "Diving into the Wreck"
by Adrienne Rich (1929-2012) also is relevant here.
Here is a link to an important article by Judy Green, "How Many Women Mathematicians Can You Name?" Green, now an emeritus professor at Marymount University, opens her article (first published in Math Horizons in 2001) with the admission that until her last undergraduate semester the only female mathematician she could name is Emmy Noether. Green's article, and a book she has co-written (with Jeanne LaDuke) and its companion website, help to remedy such situations for others. There are many important math women to know!
AND, if you still have time after exploring the links above,
please visit my article (with poetry) "They Say She Was Good -- for a Woman,"
published July 2017 in the online Journal of Humanistic Mathematics.
Labels:
Alice Silverberg,
Judy Green,
Katherine Johnson
Monday, September 25, 2017
Chinese Poem of the Cross
At the website Aleteia.org (a Catholic social networking site that offers information that it deems pertinent to questions about faith) I found this interesting use of numbers in a poem written by the Chinese Kangxi Emperor (1654-1722).
The Kangxi Emperor (康熙帝) was the longest-reigning emperor in the history of
China, and one of the longest-ruling monarchs worldwide. He ascended the
throne at age 7, and reigned for 61 years. He was also a learned
scholar, who compiled the Kangxi Dictionary and he was friendly to Christianity.
By the Kangxi Emperor (康熙帝) (4 May 1654 – 20 December 1722) |
Wednesday, September 20, 2017
Women Count
Today's commentary by Washington Post writer Dana Milbank offered a forceful reminder that women are often talked-over by men. Milbank's offering comes just three days after I attended a special event at the National Museum of Women in the Arts that featured Judy Chicago, a feminist artist whose 1970s sculpture, "Dinner Party," celebrates not only the geometry of triangles and circles but also the contributions of women to our world -- 39 women celebrated by place settings and 999 additional women's names recorded therein. Even though Judy Chicago insisted last Sunday that she is not fearless, her record of behavior is as fearless as I have known. I think it is not possible to talk-over Judy Chicago. She is someone I much-admire.
Labels:
Caroline Herschel,
Elizabeth Blackwell,
Hypatia,
Judy Chicago
Monday, September 18, 2017
Irish poet McGovern to visit US
Irish poet and physicist Iggy McGovern will visit the US in October and is scheduled to read at
McGovern's poetry has been featured earlier in this blog -- including "Belfast Inequalities" and "Proverbs for the Computer Age" on December 20, 2015 and "Geometry" on January 12, 2016. This latter poem, "Geometry" is the opening poem in A Mystic Dream of 4 (Dedalus Press, Dublin, 2013) -- a sonnet sequence based on the life of mathematician William Rowan Hamilton (1805-1865). Also a poet, Hamilton grew up in Ireland in a time of prominence for British romantic poets of William Wordsworth (1770-1850) and Samuel Taylor Coleridge (1772-1834) -- and I offer below a McGovern sonnet that links Hamilton to Coleridge.
The Writer's Center in Bethesda--Saturday, October 14 at 3 PM.
McGovern's poetry has been featured earlier in this blog -- including "Belfast Inequalities" and "Proverbs for the Computer Age" on December 20, 2015 and "Geometry" on January 12, 2016. This latter poem, "Geometry" is the opening poem in A Mystic Dream of 4 (Dedalus Press, Dublin, 2013) -- a sonnet sequence based on the life of mathematician William Rowan Hamilton (1805-1865). Also a poet, Hamilton grew up in Ireland in a time of prominence for British romantic poets of William Wordsworth (1770-1850) and Samuel Taylor Coleridge (1772-1834) -- and I offer below a McGovern sonnet that links Hamilton to Coleridge.
Friday, September 15, 2017
Love Triangle . . ..
One day, looking online for Edwin Abbott's 19th century classic, Flatland, I found not only Abbott's tale but some poetry. At the website of Jerome White, a New Orleans math teacher, I found his mathy poem "Love Triangle," about which White says: "Love Triangle" was inspired by my disappointment that Flatland: A Romance In Many Dimensions was deceptively devoid of "romance" in the modern sense of the word.
With White's permission, here is the poem -- offered with a preparatory remark: the poet is sometimes explicit as he describes the geometry of sexual attraction.
Love Triangle by Jerome A. White
A trio of three-sided polygons sprawled across
the two-dimensional space of my notebook page
capturing my singular focus
The one on the left I tried to seduce
Only to find her obliquely obtuse
Her oversized angle symbolic
of the diverging vectors our lives would follow
With White's permission, here is the poem -- offered with a preparatory remark: the poet is sometimes explicit as he describes the geometry of sexual attraction.
Love Triangle by Jerome A. White
A trio of three-sided polygons sprawled across
the two-dimensional space of my notebook page
capturing my singular focus
The one on the left I tried to seduce
Only to find her obliquely obtuse
Her oversized angle symbolic
of the diverging vectors our lives would follow
Wednesday, September 13, 2017
Truth in a circle . . .
In these days when the truth-value of so much of what I hear broadcast is difficult to assess I have been drawn back to a poem by Emily Dickinson (1830-1886), given below. I used to agree with Dickinson; now I am less sure about how one may know the truth to tell it.
Tell all the truth but tell it slant — (1263) by Emily Dickinson
Tell all the truth but tell it slant —
Success in Circuit lies
Too bright for our infirm Delight
The Truth's superb surprise
As Lightning to the Children eased
With explanation kind
The Truth must dazzle gradually
Or every man be blind —
This poem and many others by Dickinson may be found online at PoetryFoundation.org where they note that Dickinson's work is reprinted by permission of the publishers and the Trustees of Amherst College from THE POEMS OF EMILY DICKINSON: READING EDITION, edited by Ralph W. Franklin, ed., Cambridge, Mass.: The Belknap Press of Harvard University Press, Copyright © 1998, 1999 by the President and Fellows of Harvard College. Copyright © 1951, 1955, 1979, 1983 by the President and Fellows of Harvard College. Source: The Poems of Emily Dickinson: Reading Edition (The Belknap Press of Harvard University Press, 1998).
Tell all the truth but tell it slant — (1263) by Emily Dickinson
Tell all the truth but tell it slant —
Success in Circuit lies
Too bright for our infirm Delight
The Truth's superb surprise
As Lightning to the Children eased
With explanation kind
The Truth must dazzle gradually
Or every man be blind —
This poem and many others by Dickinson may be found online at PoetryFoundation.org where they note that Dickinson's work is reprinted by permission of the publishers and the Trustees of Amherst College from THE POEMS OF EMILY DICKINSON: READING EDITION, edited by Ralph W. Franklin, ed., Cambridge, Mass.: The Belknap Press of Harvard University Press, Copyright © 1998, 1999 by the President and Fellows of Harvard College. Copyright © 1951, 1955, 1979, 1983 by the President and Fellows of Harvard College. Source: The Poems of Emily Dickinson: Reading Edition (The Belknap Press of Harvard University Press, 1998).
Monday, September 11, 2017
Poetry of Colors and Geometry
Recently I found online links to an exhibit by Japanese Surrealist Poet Kitasono Katue at the Los Angeles County Museum of Art and further searching -- for words from this poet -- led me here. I offer a sample below -- and invite you, after reading here, to follow the links and explore this fascinating work.
Here, is one of five poems by Kitasono Katue from Smoke's Straightline (Kemuri no chokusen, 1959), translated into English by John Solt and available at this link.
Monotonous Space by Kitasono Katue (1902-1978)
1
white square
within it
white square
within it
black square
within it
black square
Here, is one of five poems by Kitasono Katue from Smoke's Straightline (Kemuri no chokusen, 1959), translated into English by John Solt and available at this link.
Monotonous Space by Kitasono Katue (1902-1978)
1
white square
within it
white square
within it
black square
within it
black square
Thursday, September 7, 2017
Halfway down . . .
This week I have been sifting through piles of poems I have collected for possible posting herein. Poems which I need to read and reread, to write to authors and publishers for permission to present. There will be future days for me to do that. Today I offer you a stanza from "Halfway Down" by A. A. Milne (from Now We are Six, E P Dutton, 1927). Enjoy.
from Halfway Down by A. A. Milne (1882-1956)
Halfway down the stairs
Is a stair
Where I sit.
There isn't any
Other stair
Quite like
It.
I'm not at the bottom,
I'm not at the top;
So this is the stair
Where
I always
Stop. Here is a link to the rest of this poem -- and to more of Milne's work.
from Halfway Down by A. A. Milne (1882-1956)
Halfway down the stairs
Is a stair
Where I sit.
There isn't any
Other stair
Quite like
It.
I'm not at the bottom,
I'm not at the top;
So this is the stair
Where
I always
Stop. Here is a link to the rest of this poem -- and to more of Milne's work.
If you would like to see a list of poems that offer"spirit-of-math" insights about math-people and their work, follow this link to find several dozen math-linked titles -- a list originally prepared for a Joint Mathematics Meetings presentation. Many of the poems on the list are available in this blog and can be located using the SEARCH feature.
Tuesday, September 5, 2017
From Hydrology to Poetry to Infinity . . .
Friday, September 1, 2017
Celebrate Kim Roberts with "Six"
Today is the first of a new month and, as expected, this morning I got an email reminder of the monthly Poetry News that is available at Beltway Poetry. Founded by poet Kim Roberts in 2000, this quarterly journal provides a vital voice for poetry in the Washington, DC area. Thanks, Kim!
The poem by Roberts below is one that I first met while walking along the street in Takoma Park, MD -- a community that actively promotes the arts. Roberts' poem "Six" was displayed for my sidewalk reading in honor of National Poetry Month -- and my photo of that display is shown following the printed text of her poem. Enjoy!
Six by Kim Roberts
The number of feet to dig for a coffin.
The highest roll of the dice.
The symbol of Venus, goddess of love.
The atomic number of carbon.
As a prefix, either hex or sex.
A group of French composers in the 1920s.
The poem by Roberts below is one that I first met while walking along the street in Takoma Park, MD -- a community that actively promotes the arts. Roberts' poem "Six" was displayed for my sidewalk reading in honor of National Poetry Month -- and my photo of that display is shown following the printed text of her poem. Enjoy!
Six by Kim Roberts
The number of feet to dig for a coffin.
The highest roll of the dice.
The symbol of Venus, goddess of love.
The atomic number of carbon.
As a prefix, either hex or sex.
A group of French composers in the 1920s.
Wednesday, August 30, 2017
Pure as a mathematical equation
I am pleased when I see mathematics held up as an ideal -- and such was the case when I opened my June 19, 2017 issue of The New Yorker and found the lovely poem, "How to Build a Stradivarius" by Ilyse Kusnetz (1966 -2016). Here are its closing lines:
. . .
The truth could be found in the song itself—
how it was impossible to tell where
the wood ceased and the song began—notes pure
as a mathematical equation. Transposing mountain.
Valley. Mountain again.
The complete poem is available here.
. . .
The truth could be found in the song itself—
how it was impossible to tell where
the wood ceased and the song began—notes pure
as a mathematical equation. Transposing mountain.
Valley. Mountain again.
The complete poem is available here.
Monday, August 28, 2017
How does the Triangle relate to the Circle?
One of the active promoters of poetry with links to mathematics is Californian Carol Dorf -- who teaches math at Berkeley High School AND is poetry editor for the online journal, TalkingWriting. Along with several other mathy poets, Carol participated in the poetry reading at the Bridges 2017 Math-Arts Conference in Waterloo, Ontario.
Here, playing with mathematical language -- from Carol's 2013 collection, enchantingly illustrated by Terri Saul, Every Evening Deserves a Title (Delirious Nonce, Berkeley, CA) -- is "Euclidean Shivers."
Here, playing with mathematical language -- from Carol's 2013 collection, enchantingly illustrated by Terri Saul, Every Evening Deserves a Title (Delirious Nonce, Berkeley, CA) -- is "Euclidean Shivers."
Euclidean Shivers by Carol Dorf
So, how does the Triangle
relate to the Circle?
Euclid and a radius prove points
that radiate from the center, a circle,
a method to navigate space.
So, how does the Triangle
relate to the Circle?
Euclid and a radius prove points
that radiate from the center, a circle,
a method to navigate space.
Tuesday, August 22, 2017
More solar numbers
Yesterday's eclipse is still on my mind -- and "solar" links me to a poem featured at the recent Bridges Math-Arts Conference in Waterloo -- a poem by Brazilian poet Marco Lucchesi, a much-honored and widely translated writer who is a professor of literature at the Federal University of Rio Di Janeiro.
by Marco Lucchesi |
Lucchesi's poem is found in Hinos Matematicos (Mathematical Hymns) -- and has been translated from the Portuguese by Renato Rezende. The numbers in the poem, 220 and 284, are in mathematics called amicable numbers -- the proper divisors of each one can be summed to give the other. For example: (2 + 110) + (4 + 55) + (5 + 44) + (10+22) + (11+20) + 1 = 284.
Thanks, Marco, for your poem.
Monday, August 21, 2017
The Sun's poem is infinite . . .
On this day during which many in the US experienced the totality of a solar eclipse, I stayed in Maryland and, on the roof of my condo-building -- along with one of my sons and two of my granddaughters and an array of neighbors -- saw the darkening as about 80% of the sun was covered by the moon. This event -- the view of the eclipsed sun, the darkened day -- was far more interesting and exciting than I had expected.
AND, thanks to my neighbor, poet and translator Yvette Neisser, I have been introduced to some poetry about the sun. She has shared Solar Poems by Homero Aridjis (City Lights, 2010, translated by George McWhirtier). Here are several stanzas from the opening poem . . .
The Sun’s poem is infinite,
we can only paint it in words,
said the painter
AND, thanks to my neighbor, poet and translator Yvette Neisser, I have been introduced to some poetry about the sun. She has shared Solar Poems by Homero Aridjis (City Lights, 2010, translated by George McWhirtier). Here are several stanzas from the opening poem . . .
The Sun’s poem is infinite,
we can only paint it in words,
said the painter
Wednesday, August 16, 2017
Seeking an EQUATION for LOVE . . .
One of the interesting and fun people I had the good fortune to meet at the 2017 Bridges Math-Arts Conference in Waterloo, Ontario, is Lisa Lajeunesse. At Capilano University, Lajeunesse teaches a course entitled "Math and Creative Arts" and presented at Bridges a thought-provoking paper entitled "The Golden Ratio: How Close is Close Enough?" My close connection with her came because we both were involved in a Bridges 2017 Math-Poetry Reading. She has given me permission to include her clever and mathy poem here.
It goes something like this
love equals attraction times compatibility to the power of opportunity
there’s more of course and there’s been much fiddling
with coefficients and lesser terms
involving age, pheromones and duration of eye contact
An Equation for Love by Lisa Lajeunesse
They’ve found an equation for loveIt goes something like this
love equals attraction times compatibility to the power of opportunity
there’s more of course and there’s been much fiddling
with coefficients and lesser terms
involving age, pheromones and duration of eye contact
Monday, August 14, 2017
The wisdom of grooks . . .
From Wikpedia, we have this definition: A grook ("gruk" in Danish) is a
form of short aphoristic poem or rhyming aphorism, created by the
Danish poet, designer, inventor and scientist Piet Hein (1905-1996), who wrote over
7000 of them, mostly in Danish or English. A couple mathy grooks are offered below -- and, below them, links to more.
PROBLEMS by Piet Hein
Problems worthy
of attack
prove their worth
by hitting back.
The grook shown above and more are found here:
Tuesday, August 8, 2017
Counting, women, loving mathematics
Here is another Cento from BRIDGES -- for background information, please see my August 4 posting -- this one composed by Erinn and Catherine. Authors of the four lines are Judy Green, Shakuntala Devi, Anonymous, and Mike Naylor.
How many women mathematicians can you name?
How many of you love mathematics?
Women count. Men count. People count.
Counting each and every step along this rocky shore.
How many of you love mathematics?
Women count. Men count. People count.
Counting each and every step along this rocky shore.
Friday, August 4, 2017
Centos from 2017 Bridges Math-Arts Conference
Last Monday evening I returned home from the 2017 Bridges Math-and-the-Arts Conference at the University of Waterloo. One of the special events in which I participated was a Sunday afternoon poetry reading; information about the reading (and links) are here in my July 17 posting .
Another conference activity -- machine-based and developed by Waterloo computer science grad student Erinn Atwater to work with a data-base of quotations I had gathered that relate to math or poetry -- was a machine set-up to invite conference attendees to compose a four-line Cento from a screen-selection of choices.
Here is a sample of the Cento poetry that was created; the assembler of these lines listed her name simply as Bianca:
Mathematics is not only connected to art; it is just art. (by Solomon Marcus)
There is always a third point between any two. (by Michael Rosen)
My imagination is still the same. It’s bad with large numbers. (by Wislawa Szymborska)
Though this be madness, yet there is method in it. (by William Shakespeare)
Another conference activity -- machine-based and developed by Waterloo computer science grad student Erinn Atwater to work with a data-base of quotations I had gathered that relate to math or poetry -- was a machine set-up to invite conference attendees to compose a four-line Cento from a screen-selection of choices.
Here is a sample of the Cento poetry that was created; the assembler of these lines listed her name simply as Bianca:
Mathematics is not only connected to art; it is just art. (by Solomon Marcus)
There is always a third point between any two. (by Michael Rosen)
My imagination is still the same. It’s bad with large numbers. (by Wislawa Szymborska)
Though this be madness, yet there is method in it. (by William Shakespeare)
Tuesday, July 25, 2017
from "The Half-Finished Heaven"
In 2011, Swedish poet Tomas Transtromer (1931-2015) won the Nobel Prize and this year Graywolf Press has issued a wonderful collection of his work The Half-Finished Heaven: Selected Poems (translated by Robert Bly). Here is the title poem; is it mathematical?
The Half-Finished Heaven by Tomas Transtromer
Cowardice breaks off on its path.
Anguish breaks off on its path.
The vulture breaks off in its flight.
The eager light runs into the open,
even the ghosts take a drink.
The Half-Finished Heaven by Tomas Transtromer
Cowardice breaks off on its path.
Anguish breaks off on its path.
The vulture breaks off in its flight.
The eager light runs into the open,
even the ghosts take a drink.
Monday, July 17, 2017
A CENTO from BRIDGES 2017 Poets
A cento is a literary work made from quotations from other works -- most often it is a poem, assembled from lines by other poets. Below I have created a cento from lines written by the poets who have been invited to participate in the July 30 Poetry Reading at the 2017 Bridges Math-Arts Conference in Waterloo, Ontario. A wonderful program is planned -- it's not too late to register and join us.
All is number, mysterious proportions
Like Egyptians burying gold with the dead
Golden Fear
that divides and leaves no remainder
All is number, mysterious proportions
Like Egyptians burying gold with the dead
Golden Fear
that divides and leaves no remainder
Sunday, July 16, 2017
Too soon -- Maryam Mirzakhani taken by cancer
The brilliant and celebrated mathematician -- and 2014 Fields Medal Winner -- Maryam Mirzakhani has, on July 14 at age 40, died after a long battle with cancer. I learned this sad news from NPR. The radio story tells that (as was the case also for me) early in her life, Mirzakhani had wanted to be a writer, but her mathematical talents won out. Her description of mathematics is a charming one and math deserves to be more-often pictured in this positive way:
It
is fun --
like solving
a puzzle or
connecting the dots
in a detective case.
This stanza-form, in which lines grow in length by one syllable at a time, is called a syllable-snowball.
It
is fun --
like solving
a puzzle or
connecting the dots
in a detective case.
This stanza-form, in which lines grow in length by one syllable at a time, is called a syllable-snowball.
Wednesday, July 12, 2017
They Say She Was Good -- for a Woman
Regulars to this blog know of my appreciation and support for the Journal of Humanistic Mathematics -- an online journal that publishes poetry and fiction as well as articles that link the arts with mathematics. Bravo to editors Gizem Karaali and Mark Huber -- a new issue (Vol. 7, Issue 2) has come online today.
I am honored to announce that my article, "They Say She Was Good -- for a Woman," -- a collection of poems and musings about women in mathematics (and featuring a poem about Emmy Noether) -- is part of the current issue.
Other key items in this issue of JHM that I have already found time to enjoy include a visual poem of geometry and numbers by Sara Katz, a collection of poems about "infinity" by Pam Lewis, a review of poetry anthologies by Robin Chapman, a call (deadline, 11/1/17) for "mathematical" Haiku; a call (deadline 1/1/2018) for papers on mathematics and motherhood. Go to the Table of Contents and enjoy it ALL.
I am honored to announce that my article, "They Say She Was Good -- for a Woman," -- a collection of poems and musings about women in mathematics (and featuring a poem about Emmy Noether) -- is part of the current issue.
Sunday, July 9, 2017
Three Odd Words
I love the mental jolt I get when a math word is used with a non-math meaning -- suddenly some playful back-and-forth happens in my head. Here it happens in a tiny poem by Polish Nobelist Wislawa Szymborska (1923-2012).
The Three Oddest Words by Wislawa Szymborska
When I pronounce the word Future,
the first syllable already belongs to the past.
When I pronounce the word Silence,
I destroy it.
When I pronounce the word Nothing,
I make something no nonbeing can hold.
This poem is found on my shelf in Map: Collected and Last Poems (Mariner Books, 2016). Translated from the Polish by Clare Cavanagh and Stanislaw Baranczak, edited by Clare Cavanagh. This link leads to several previous posts that also include work by Szymborska.
The Three Oddest Words by Wislawa Szymborska
When I pronounce the word Future,
the first syllable already belongs to the past.
When I pronounce the word Silence,
I destroy it.
When I pronounce the word Nothing,
I make something no nonbeing can hold.
This poem is found on my shelf in Map: Collected and Last Poems (Mariner Books, 2016). Translated from the Polish by Clare Cavanagh and Stanislaw Baranczak, edited by Clare Cavanagh. This link leads to several previous posts that also include work by Szymborska.
Wednesday, July 5, 2017
Finding poems in Maria Mitchell's words
SO MANY words and phrases are poetic
that are NOT YET called poems.
A recent Facebook posting for the Max Planck Society featured this picture and quote by 19th century American Astronomer Maria Mitchell (1818-1889): |
Thursday, June 29, 2017
The NUMBERS that help us REMEMBER . . .
Born in Lithuania, poet Czesław Miłosz (1911-2004) became fluent in Polish, Lithuanian, Russian, English and French. He emigrated to the United States (to California) in 1960 and was the 1980 winner of the Nobel Prize in literature. He was not fluent in the language of mathematics but his poem "The Titanic" -- written in Berkeley in 1985 and excerpted below -- illustrates the power of numbers in poetic description AND the circumstances of which numbers are remembered.
from The Titanic by Czesław Miłosz
from The Titanic by Czesław Miłosz
Events--catastrophes of which they learned and those others of which they did not want to know. In Johnstown, Pennsylvania, a flood in 1889 took 2,300 lives; 700 persons perished in the San Francisco earthquake of 1906. Yet they did not notice the earthquake at Messina in Sicily (1908),
Tuesday, June 27, 2017
Chains of Reasoning
In a recent conversation about mathematics, one of us said, "Mathematics is not about what is true, or cannot be, but is a collection of valid chains of reasoning." And from there my mind wandered on to Clarence Wylie's sonnet (offered below) -- which is the final poem in a wide-ranging anthology that Sarah Glaz and I edited : Strange Attractors: Poems of Love and Mathematics (A K Peters/CRC Press, 2008). Enjoy Wylie's play with thinking about the "holy order" of mathematics.
Paradox by Clarence R Wylie, Jr. (1911-1995)
Not truth, nor certainty. These I forswore
In my novitiate, as young men called
To holy orders must abjure the world.
Paradox by Clarence R Wylie, Jr. (1911-1995)
Not truth, nor certainty. These I forswore
In my novitiate, as young men called
To holy orders must abjure the world.
Thursday, June 22, 2017
Euclid's Iron Hand
Alice Major is a Canadian poet who admits to having loved mathematics since girlhood and who often includes mathematical ideas and images in her poems. The first poet laureate of Edmonton, Alberta, Major has been instrumental in spreading a love of poetry in many directions and venues. The selection below, "Euclid's Iron Hand," first appeared in Wild Equations, the Spring 2016 issue of Talking-Writing, an online journal that also in 2012 featured math-related poems and an essay by TW editor, Carol Dorf, "Why Poets Sometimes Think in Numbers."
Euclid's Iron Hand by Alice Major
My iron cannot cope
with non-Euclidean geometry.
Antique and irritable, it insists
on plane surfaces and the fifth postulate,
hissing, Lie down flat, goddamit.
Both Alice Major and Carol Dorf are part of the Poetry Reading
at this summer's BRIDGES Math-Arts Conference July 27-31 in Waterloo, Ontario.
Will we see you there?
Euclid's Iron Hand by Alice Major
My iron cannot cope
with non-Euclidean geometry.
Antique and irritable, it insists
on plane surfaces and the fifth postulate,
hissing, Lie down flat, goddamit.
Tuesday, June 20, 2017
Three Plus Four Divided by Seven
A good friend, Doru Radu -- with whom I have partnered to translate some Romanian poetry into English -- shares with me a love for the work of Polish poet and 1996 Nobelist, Wisława Szymborska (1923-2012). Doru lives in Poland now and had a chance to meet Szymborska, to hear her read, and to translate some of her work into his native Romanian. And last summer, when he traveled to New York, he brought to me a copy of the posthumously published collection, Enough (Wydawnictwo a5). Here are a couple of mathy stanzas from one of its poems, "Confessions of a Reading Machine."
Confessions of a Reading Machine by Wisława Szymborska
I, Number Three Plus Four Divided by Seven,
am renowned for my vast linguistic knowledge.
I now recognize thousands of languages
employed by extinct people
in their histories.
Confessions of a Reading Machine by Wisława Szymborska
translated by Clare Cavanagh
am renowned for my vast linguistic knowledge.
I now recognize thousands of languages
employed by extinct people
in their histories.
Labels:
Clare Cavanagh,
Doru Radu,
Wislawa Szymborska
Friday, June 16, 2017
Fondness for numbers . . .
Today I am looking back to a posting on 23 April 2011 that includes the first stanza of one of my favorite mathy poems; here is a copy-and-paste of a part of that day's entry.
A poem that offers affection for mathematics is "Numbers," by Mary Cornish, found as Poem 8 at Poetry 180 (a one-a-day collection of poems for secondary students) as well as at The Poetry Foundation. Cornish's poem begins with this stanza:
I like the generosity of numbers.
The way, for example,
they are willing to count
anything or anyone:
two pickles, one door to the room,
eight dancers dressed as swans.
A poem that offers affection for mathematics is "Numbers," by Mary Cornish, found as Poem 8 at Poetry 180 (a one-a-day collection of poems for secondary students) as well as at The Poetry Foundation. Cornish's poem begins with this stanza:
I like the generosity of numbers.
The way, for example,
they are willing to count
anything or anyone:
two pickles, one door to the room,
eight dancers dressed as swans.
Wednesday, June 14, 2017
Equation after equation, smiling . . .
Today's news offers the exciting announcement that Tracy K. Smith is the new Poet Laureate of the United States. I have not found much of mathematics in her work BUT there are these (offered below) provocative lines of Section 6 from the title poem of Life on Mars: Poems (Graywolf Press, 2011). This Pulitzer Prize-winning collection is an elegy for Smith's father, a scientist who worked on the Hubble telescope.
from Life on Mars by Tracy K. Smith
6.
Who understands the world, and when
Will he make it make sense? Or she?
Maybe there is a pair of them, and they sit
Watching the cream disperse into their coffee
Like the A-bomb. This equals that, one says,
Arranging a swarm of coordinates
from Life on Mars by Tracy K. Smith
6.
Who understands the world, and when
Will he make it make sense? Or she?
Maybe there is a pair of them, and they sit
Watching the cream disperse into their coffee
Like the A-bomb. This equals that, one says,
Arranging a swarm of coordinates
Monday, June 12, 2017
Finding the Normal Curve
A poem I have much admired since I first saw it (January, 2016) in the Journal of Humanistic Mathematics is "Pension Building, Washington, DC" -- shown below. At first glance I thought this work by poet E. Laura Golberg to be a growing-melting syllable-snowball, but her syllables conform to line-length rather than count, offering us -- in both shape and content -- a bit of statistics, the normal curve. Please enjoy!
Pension Building, Washington, DC by E. Laura Golberg
A
dis-
play
of the
normal
curve can
be found in
old buildings
Pension Building, Washington, DC by E. Laura Golberg
A
dis-
play
of the
normal
curve can
be found in
old buildings
Thursday, June 8, 2017
The treasures of memory . . .
The Days of the Month
Thirty days hath September,
April, June, and November;
February has twenty-eight alone,
All the rest have thirty-one,
Excepting leap-year--that's the time
When February's days are twenty-nine.
OLD SONG.
Yesterday, hoping to arrange my bookshelves in better order, behind other newer volumes I found an old friend: Poems Every Child Should Know (Doubleday, Page & Company, 1913). On the title page an inscription indicating the book was a present to my Aunt Ruth on her tenth birthday. The collection -- with its poems by Robert Louis Stevenson and Eugene Field and Henry Wadsworth Longfellow and so many others -- got me to thinking how much I have enjoyed throughout my life the few poems I have memorized. And finding the poem above reminded me how much I also have valued particular mnemonic devices for remembering critical information.
This brief stanza gives thirteen digits of π: See, I have a rhyme assisting
my feeble brain,
its tasks sometimes resisting.
More poetry for π is available here.
Thirty days hath September,
April, June, and November;
February has twenty-eight alone,
All the rest have thirty-one,
Excepting leap-year--that's the time
When February's days are twenty-nine.
OLD SONG.
Yesterday, hoping to arrange my bookshelves in better order, behind other newer volumes I found an old friend: Poems Every Child Should Know (Doubleday, Page & Company, 1913). On the title page an inscription indicating the book was a present to my Aunt Ruth on her tenth birthday. The collection -- with its poems by Robert Louis Stevenson and Eugene Field and Henry Wadsworth Longfellow and so many others -- got me to thinking how much I have enjoyed throughout my life the few poems I have memorized. And finding the poem above reminded me how much I also have valued particular mnemonic devices for remembering critical information.
This brief stanza gives thirteen digits of π: See, I have a rhyme assisting
my feeble brain,
its tasks sometimes resisting.
More poetry for π is available here.
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