What to write about?

On a given finite straight line to construct an equilateral triangle.

Proposition I.1, Elements, Euclid

You might naively ask: what are all the interesting propositions you can prove about equilateral triangles?  I suspect enough propositions to create a quirky yet interesting book for the mathematically inclined.  Of course, one can generalize to regular polygons, polyhedrons, and polytopes, but by then you would have Coxeter’s splendid book Regular Polytopes.  Let the first project consist of equilateral triangles.

It’s warm and sunny.  I dream about and drift through a land whose significance lies in its interesting propositions.  Or to paraphrase Wallace Stevens: not dreams of life itself, but dreams of propositions about life.

Advertisements
Published in: on October 21, 2009 at 12:23 pm  Leave a Comment  

The URI to TrackBack this entry is: https://statestreet.wordpress.com/2009/10/21/what-to-write-about/trackback/

RSS feed for comments on this post.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: