Collection: Mathematical Beauty

Frequently Asked Questions

What are the golden ratio and the Fibonacci sequence — and how do these principles become visible in a piece of jewelry?

The Fibonacci sequence is a numerical progression where each number is the sum of the two preceding ones — 1, 1, 2, 3, 5, 8, 13... — and the ratio between consecutive numbers in this sequence always approaches 1.618, the number known as the golden ratio or golden number. This proportion generates the logarithmic spiral: the same shape that appears in the nautilus shell, in the arrangement of sunflowers, in spiral galaxies. In Vangloria jewelry, these principles are not merely referenced — they are structural. The curvature of the Nautilus, the rhythm of the Phi Progressions, the progression of the Golden Spiral are born directly from these equations, translated into 925 silver and gold by hands that know metal.

How does the nautilus spiral transform into a jewelry design — what is Vangloria's process from inspiration to the final piece?

The starting point is always conceptual: Vanessa Pires doesn't begin with the final form, but with the idea that generates it. In the case of the Nautilus, the logarithmic spiral is first studied in its mathematical proportions — the ratio between each turn, the way it grows without altering its shape. From there, a three-dimensional language is developed that interprets this proportion in metal: how to bend the silver so that the curvature is mathematically correct, how to calibrate the weight so that the piece sits well on the skin, how to preserve the movement of the spiral in a static object. Each piece goes through multiple iterations in the workshop before reaching its final form — and it is this process, not just the result, that the Casa da Moeda certification attests to as an author's work.

What is the difference between the Nautilus, Phi Progressions, Golden Spiral, and Mirabilis collections — they all have a mathematical root, but what distinguishes each one?

They share the same grammar but speak with distinct accents. Nautilus is the most direct translation of the logarithmic spiral — shapes that grow from a central point, with depth and movement; it exists in several versions (Toujour, Extended, Party, Dourado) that vary in scale and finish. Phi Progressions works with numerical progression as visual rhythm — forms that advance, that have direction; it is the most architectural of the four. Golden Spiral focuses on the golden spiral, with a 24k gold finish that amplifies light and gives the pieces a warmer, more luminous presence. Mirabilis is the most organic: it starts from the same mathematical principles but translates them into forms that evoke nature — shells, petals, movement — without ever losing its underlying geometric rigor.

A jewel with a mathematical concept risks being too intellectual or cold — do these pieces have visual warmth, or are they purely geometric?

This is perhaps Vangloria's most interesting tension — and the way it resolves it is what distinguishes its work. Mathematics is the skeleton, not the surface. What is seen and worn is a piece with an organic presence: the Nautilus spiral has movement, the Mirabilis Long Earrings have fluidity, the Pearl Shell has the softness of a natural form. The rigor lies in the proportion, not in the final appearance. Those who wear these jewels don't need to explain Fibonacci — the geometry makes itself felt as something right, not as something calculated.