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Spira Mirabilis: changing while staying true to yourself

Turn La Moneta over and you’ll find a spiral. The two-tailed siren is on the front. On the back, there’s just a line winding outwards.

For us, that spiral is about changing while staying true to yourself. [1]

Why Spira Mirabilis?

The curve is called a logarithmic spiral, or an equiangular spiral. Jacob Bernoulli gave it the name Spira Mirabilis in 1692. Other mathematicians, including Descartes, had studied it before him. [2]

What makes it special is that it keeps the same shape as it grows. In mathematics, this is called self-similarity. As you follow the curve through equal angles, its distance from the centre grows by the same factor each time. [2]

A logarithmic spiral doesn’t have to be a golden spiral. The golden spiral is one particular type.

Logarithmic spiral diagram
Logarithmic spiral diagram drawn for this article. It is not an exact reproduction of the engraving on the jewellery. Mathematical source: MacTutor, University of St Andrews.

What it means to us

You can spend years looking forward to a change. Sometimes it happens before you’re ready. You move, leave a job, say goodbye to someone, start again. You may only realise later how much has changed in you, too.

The spiral grows outwards and still keeps its shape. That’s what drew us to it: the thought that you can go through new experiences and still feel like yourself. [1]

Your life might look very different, yet you still love making things, care about the same people or notice things in your own particular way. Sometimes a change helps you see what matters to you more clearly. You get to know yourself better and find it easier to make choices that feel right for you.

On La Moneta

We put the spiral on the back of La Moneta to give that thought a place on the jewellery. You can run a finger over it when the day feels rushed, or hold it for a moment while you’re thinking.

Perhaps it brings back a memory. Perhaps you simply like the way it feels in your hand.

We like that you can turn the coin over: the siren on one side, the spiral on the other. Both are part of the same piece.

[1] Sirendipity, original writing on Spira Mirabilis and the meaning of the spiral within the project.

[2] MacTutor History of Mathematics, Equiangular Spiral, School of Mathematics and Statistics, University of St Andrews.