Showing posts with label map. Show all posts
Showing posts with label map. Show all posts

Tuesday, May 7, 2013

Four -- square, colors, theorem, poem

During my doctoral study days at the University of Oklahoma I knew several mathematicians who were working on graph theory problems -- and a couple of them worked on problems related to the Four Color Conjecture -- a conjecture (dating back to around 1850) that became a theorem in 1976 with a proof by Kenneth Appel and Wolfgang Haken verifying (using many hours of computer time).  It asserts that four colors are sufficient to color any plane map so that no pair of adjacent regions have the same color.  This theorem has been again on my mind since reading the obituary of Kenneth Appel, who died on April 19.
Here is a link to an earlier posting (5 November 2011) on the Four Color Problem with a poem by Frank Bernhart.  And here, repeated from that post, is my poetic version of the Four Color Theorem:

        F O U R
        F O U R
        F O U R
        F O U R

Monday, September 10, 2012

It Crossed My Mind

     In Elinor Gordon Blair --  my English teacher during my junior and senior years at Indiana Joint High School in Indiana, Pennsylvania -- I found a woman who became a life-long inspiration to me.  An insatiable reader and always curious, Elinor Blair seemed to learn from every thing that came along. Such an excellent strategy  -- and I learned it from her.  
     Mrs Blair -- is my habit to continue to call her by this formal name -- still lives in Indiana and she is 99 years old.  Three years ago she published a poetry collection, It Crossed My Mind.  These following stanzas from Blair's collection use imagery from geometry to describe the destructive way in which "skeletons of steel" have remade our American landscapes. 
     Thank you, Mrs. Blair, for these lines and for the ways you have enriched my life.

Tuesday, February 8, 2011

How much math does a math-poem need?

Poems offered in this blog vary in the levels of mathematics they contain.  One mathematical reader commented privately that in some of the poems the use of mathematical terms is "purely decorative."  Indeed, some people have particular expectations for poetry that relates to mathematics -- they want the content to use mathematical notation or to present a mathematical truth. Such as, perhaps, this abbreviated statement of the four-color theorem (formulated as a 4x4 square):