Python for Bioinformatics

Over the last couple of weeks I've been working on a library of geometry utilities in Python, code to work with matplotlib to draw figur...

I worked up a short new chapter for my Geometry book. It's about a device I'm calling ratio boxes, for want of a better word. When...

Napoleon's Theorem is a theorem some attribute (naturally enough) to Napoleon. It says that if you take any triangle and draw equilat...

I've been reading the first chapter of Dunham's Calculus Gallery again (available here ). It starts with a discussion of Newton re...

The theorem of the "broken chord" is ascribed to Archimedes, although his original work has been lost. It was analyzed by the Ara...

I think it's fair to say that math is not my granddaughter's favorite subject. The whole debate about whether some people are inher...

One of my favorite books is David Acheson's The Wonder Book of Geometry (Amazon here ). I especially enjoyed the proof that similar ...

Continuing from the previous post , I thought I would summarize how to drill down to individual polygons in a GeoDataFrame containing the...

Recently I've been exploring maps again, using GeoPandas in Python. I found it confusing at first, but that was mainly because I did...

In Acheson's The Wonder Book of Geometry , I came across the " pizza theorem ." The basic form of the problem says to take an...

I've had to turn comments off for the blog. Nothing but spam anymore. The intrepid reader will be able to find me. Hint: +"9...

 The "sum of angles" theorems are incredibly useful in calculus.  These are formulas for the sine (or cosine) of the sum (or diffe...

 I've been playing with continued fractions.  The golden ratio is one of the simplest examples. Substituting the whole right-hand side f...

 It's been some years , but I took another look at pentagons.  It is fun to see the connection between φ,  the "golden ratio",...