Comprehensive Calorie Counting

lettuce on truckThere’s an interesting op-ed in the NYT about how mathematics is used to put food production and consumption into context:

http://www.nytimes.com/2010/08/20/opinion/20budiansky.html

For example, we can measure food transportation costs in calories (as a calorie is, indeed, a unit of energy), and so we can look at production and transportation costs of certain foods and compare them to the calorie content of the food itself.  For example, it takes about 5000 calories to produce a 100-calorie head of lettuce.

The author’s intent is to poke holes in some of the common arguments used by proponents of “eating local”:  Transportation costs for most foods are neglible compared to household storage and preparation costs, says the author, thus “eating local” is not an especially eco-friendly strategy.  However, the author hilmself makes a number of weak and erroneous arguments, comparing “apples to rocks” in some cases.

The piece offers some interesting mathematical ideas and a good critical reading exercise.

Garden-Variety Fractals

My Mom gave me some clippings of a Christmas Cactus (Chris, pictured at the right), and after taking a while to get accustomed to her new home, Chris is finally starting to grow.

Christmas Cactus

The new leaves sprouting out, smaller but similar to the original, put me in mind of the Mandelbrot set.  The bulbs that “grow” out of the Mandelbrot set are perfectly similar to the original, and no matter how much you zoom in, you’ll always see the exact same sort of object.

plants and fractal
I can’t say for sure if the leaves of the Christmas Cactus are infinitely self-similar, but it’s close enough for my eyes.

Buckyballs Detected in Space

For the first time, scientists have verified the existence of “buckyballs” in space.   Buckyballs are carbon molecules made up of 60 atoms arranged in a soccer-ball like structure

buckyball

 

Notice the interlocking pentagons and hexagons.  There are 60 vertices in this solid, so how many of each polygon?

Buckyballs are named after Buckminster Fuller, as they resemble the geodesic dome he made famous.  Fuller was a creative, prolific man–a futurist–who was never short of whimsical ideas, like using blimps to drop bombs to make holes to plant tree-houses in.

Related Posts

Problem-Solving Under Pressure

Near the end of a long morning building a small table, I encountered the following simple geometry problem:  I needed to cut four small rectangles from a square of self-adhesive rubber to serve as the feet of the table’s legs.  So I cut the square into four equal strips, lopped off the end of eachsquares 1and had my feet.four feet

All well and good, but I missed the superior solution that any decent problem solver should have seen immediately:

better solution

This solution would have left me with one long rectangular remainder, as opposed to four small square remainders.

After working on the table for a while, I was mentally and physically drained, and I think this affected my ability to see the better solution.  I guess it makes sense that being tired [and frustrated!] would negatively impact one’s ability to solve problems.

It’s interesting to think about how our physical, mental, and emotional states can affect our problem-solving abilities.  And I think this suggests that problem-solving stamina is something we might want to work on.

How Do You Study Extinction? Commit Ecocide

E.O. WilsonI watched “Lord of the Ants” on PBS the other night, a documentary about biologist E.O. Wilson.  Wilson possesses the characteristics of the great natural scientist:  a never-ending fascination with the world, the persistence to keep asking questions and to keep looking for answers, and the discipline to focus on and master a specific domain.  Wilson’s impact has been both deep and broad, and he’s even been at the center of a scientific-political-cultural controversy–another benchmark of greatness.

“Lord of the Ants” tells the story of his scientific life–past, present, and future–and it is viewable here.  In Wilson’s story, a couple of cool math-y things caught my attention.

Wilson and Daniel Simberloff, a mathematician-turned-biologist, were interested in studying how ecosystems re-populate after extinction, so they fumigated a small island in the Florida Keys and watched what happened.

In particular, they wanted to know how re-population depends on the area of the region, and its distance from the “mainland”.   Furthermore, they wanted to see if the same number of different species would return, if the same, or different, species would return, and if the relative populations of the various species would return to pre-extermination levels.

Later, Wilson goes on to describe an “Iron Law of Ecology”, namely that a 10-fold increase in habitat doubles the number of species that can be supported there.  This quantitative analysis is obviously very useful for naturalists arguing in favor of preserving more and more natural habitat.

Follow

Get every new post delivered to your Inbox

Join other followers: