Palago Fractals Cameron Browne2009 |

This page shows some fractal constructions (fractalagos?) and other mathematical curiosities made with Palago tiles.

**Sierpinski Triangle**

Figure 1 shows the initial state and first two iterations of a Sierpinski Triangle made with Palago tiles. The figures require 6, 15 and 45 tiles to complete, respectively. Thanks for Stephen Tavener for suggesting this design.

**Figure 1. **Initial state and first two iterations.

Figures 2 and 3 show the next two iterations of this construction.

**Figure 2. **Third iteration (153 tiles).

**Figure 3. **Fourth iteration (561 tiles).

**Rose Construction **

Figures 4, 5 and 6 shows the initial state and several iterations of a simple construction reminiscent of a rose in bloom.

**Figure 4. ** Initial state and first three iterations.

**Figure 5. **Fourth and fifth iterations.

**Figure 6. **Sixth and seventh iterations.

**Other**

Figure 7 shows a variation on the Sierpinski construction that I call *Day and Night* as an homage to Escher.

**Figure 7. ***Day and Night*.

**History**

Palago tiles by Cameron Browne and copyright (c) Cyberite Ltd 2008.

Site designed by Cameron Browne © 2009.