We can construct a beautiful fractal set by defining an operation of iterating exponentials and applying it to the numbers in the complex plane. The operation is tetration and the fractal is called the power tower fractal or sometimes the tetration fractal. A detail of the set is shown in the figure here.

## Posts Tagged 'Fractals'

### The Power Tower Fractal

Published April 14, 2016 Occasional Leave a CommentTags: Analysis, Fractals

### Santa’s Fractal Journey

Published December 19, 2013 Irish Times Leave a CommentTags: Fractals, Maps

The article in this week’s *That’s Maths* column in the* Irish Times* ( TM035 ) is about the remarkable Christmas Eve journey of Santa Claus.

### Ireland’s Fractal Coastline

Published December 12, 2013 Occasional Leave a CommentTags: Fractals, Ireland, Maps

Reports of the length of Ireland’s coastline vary widely. *The World Factbook* of the Central Intelligence Agency gives a length of 1448 km. The *Ordnance Survey of Ireland* has a value of 3,171 km (http://www.osi.ie). The *World Resources Institute*, using data from the United States Defense Mapping Agency, gives 6,347km (see Wikipedia article [3]).