At the Macquarie Lake Variety Playground, there is a performance space which is intriguingly mathematical. From a distance, it just looks like a wavy wall – cute in a wall-ish, playful sort of way. After all, walking along a wall is a popular activity and this wavy-curvy wall is suitably low enough to entice little children and their parents too.
As you move into the centre of the spiral, two things happen. First the broad wall becomes increasingly narrow and the waves disappear.
Second, the spiral gets smaller and smaller, until it disappears.
This feature is intriguing. It feels so balanced and proportionate, I am keen to know if it is a Golden Spiral. By this I mean a spiral that is based upon the Golden Ratio as its growth factor.
If any maths teacher happens to be reading this post, I would really appreciate advice as to how I could find this out. It is an irresistible challenge and I may have to return to the site to undertake this investigation.