### The world’s best map projection

As is well known, you can’t squash the surface of a sphere (or of a hemisphere) flat without either tearing…

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# Numbers and Shapes

### The world’s best map projection

### Let’s hear it for Logo (3)

### Let’s hear it for Logo! (2)

### Let’s hear it for Logo!

### Approximating the sum of an infinite series (3)

### Approximating the sum of an infinite series (2)

### Approximating the sum of an infinite series

### Typesetting music

### The derivative of sin(x)

### Tuning and temperament (5): Meantone and the syntonic comma

Various things, mostly mathematical

As is well known, you can’t squash the surface of a sphere (or of a hemisphere) flat without either tearing…

Logo is of course known for its turtle graphics, and such is the appeal that there are now turtle graphics…

Continuing my re-discovery of Logo, I thought I’d try to implement a backtracking solution to finding a Hamiltonian cycle in…

Recently I had the occasion of helping my autistic son with some elementary mathematics. He’s very averse to writing, but…

In the last post I looked at Aitken’s delta-squared process, and showed its applicability to summing some alternating series. But…

Before we begin, some basic definitions. Suppose is a sequence that converges to a limit . We say that the…

I started thing about this as I was preparing some material on the use of Matlab for teaching engineering mathematics…

Recently I’ve been typesetting a little music. My notational needs are simple: mostly single melodic lines, occasional chords or multiple…

We know that we can use the limit definition to compute the derivative of “from first principles”. And…

The Pythagorean comma may be considered as the difference in two ways of tuning 84 semitones: either as 12 fifths,…