"Binary Heart" -- linking love and mathematics

      From the xkcd webcomic by Randall Munroe -- and also shown on the cover of Strange Attractors: Poems of Love and Mathematics, we have this reminder of upcoming Valentine's Day.

"Binary Heart" by Randall Munroe,
at https://xkcd.com/99/

     Munroe's clever drawings "of romance, sarcasm, math, and language" have appeared also in previous postings in this blog (here's a link) and his website is fun to visit.
     The anthology, Strange Attractors; Poems of Love and Mathematics-- edited by Sarah Glaz and me -- was published in 2008 by AK Peters and contains more than 150 poems of math and love (including another -- "Useless" -- by Munroe.)  More about Munroe is available here.

What can mathematics do?

For many, mathematics offers interpretive links between a mind and the truths it seeks to know,  the same role that a story plays in this poem -- "Story Water" -- by Jelaluddin Balkhi Rumi (1207 - 1273). 

The Nightmare of an Unsolved Problem

Back in the 1980s when I first met the Collatz conjecture in a number theory textbook it was stated this way:
     Start with any whole number  n :
          If  n  is even, reduce it by half, obtaining  n/2.
          If n is odd, increase it by half and round up to the nearest whole number, obtaining  3n/2 + 1/2 = (3n+1)/2.   Collatz' conjecture asserts that, no matter what the starting number, iteration of this increase-decrease process will each time reach the number 1.   

Where are the Women?

Here is a small square poem about a paradox that's been on my mind recently.

               Little Women

               In school, many
               gifted math girls. 
               Later, so few
               famed math women!

"Mathematical" Limericks

A dozen, a gross, and a score
Plus three times the square root of four
     Divided by seven
     Plus five times eleven
Is nine squared and not a bit more.