€ 145
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Golden ratio necklace | sterling silver
A customer who chose the gold version called it “a blend of the arts and sciences”, and that is who this golden ratio necklace is for: women with a foot in both. Give it to the woman in your life who loves maths and design alike, or keep it for yourself.
Who It's For
- a daughter who is an architect, or on her way to becoming one
- a maths teacher, for her birthday or at Christmas
- a wife or partner who loves a clever idea
- a sister in science for a milestone birthday, or a granddaughter
- yourself, if you are part artist, part maths nerd
From a review by kpcetal, who gave it as a gift: “If you don't recognize it, it just seems a geometric, maybe Frank Lloyd Wright sort of piece. If you know what it is, it's even more fun.” Carol H.: “Beautiful and delicate piece of unusual jewellery, bought for my daughter who is an Architect.”
The Mathematics of the Golden Ratio
The golden ratio, written φ (phi), is about 1.618. Divide a line so that the whole is to the longer part as the longer part is to the shorter, and that is the ratio you get. Euclid set out the construction around 300 BC. It is also where the Fibonacci sequence leads: divide each number by the one before it (8/5, 13/8, 21/13) and the answers close in on φ. In plants it appears as the golden angle, about 137.5°, which lets leaves or seeds placed one after another spread evenly without ever lining up exactly. Not every famous example holds up. When a mathematician measured museum nautilus shells, their spirals came out nearer 1.33 than 1.618.
Explore Related Math and Physics Jewelry
- golden ratio necklace | gold vermeil
- golden ratio earring hoops | silver
- phi necklace | silver
- mobius strip necklace | silver
FAQ
How big is the pendant, and how does it sit?
The pendant measures 33 mm (about 1.3 inches), about 7 mm wider than a 2-euro coin. It is finer than the close-ups suggest. The chain attaches at both top corners, so it sits level on the upper chest, a little below the collarbone, on a 45 cm (17.7 inch) sterling silver chain with a 5 cm (2 inch) extender. Extra chains of 40, 42, 45 or 50 cm with the extender, or 80 cm, can be added on this page. Our sterling silver pendant and chain are nickel-free.
Is there a gold version, or matching earrings?
Yes to both. The same golden ratio necklace comes in 18K gold vermeil, with the same design and size. Choose the finish she already wears. The golden ratio earring hoops are 34 mm, on posts with ear nuts, in sterling silver or gold vermeil. If she would rather wear the symbol itself, the phi necklace carries the Greek letter φ at 23 mm, in either finish.
Will it arrive in time, and what if it isn't right?
It ships free worldwide with DHL Express and arrives in 1-5 business days. We pay the import duties and taxes, so there is nothing to pay on delivery. It comes in a ready-to-gift jewelry box and festive envelope. If it isn't right, our 30-day “Love It or Return It” policy applies.
Do sunflowers really follow the Fibonacci sequence?
Mostly, and Alan Turing wanted to know why. He worked on it in his last years and died in 1954 before finishing. For his centenary in 2012, Manchester's Museum of Science and Industry asked the public to grow sunflowers and send in photos of the seed heads. In the 2016 analysis led by Jonathan Swinton and Erinma Ochu, about three quarters of 768 spiral counts were Fibonacci numbers. Many of the rest were near misses or followed related sequences, and a few heads had no clear count at all.
Math & Physics
Unlock the elegance of the abstract with our math and physics-inspired jewelry collection. These carefully crafted pieces mirror the profound equations and natural laws that shape our understanding of the universe. Experience the allure of fractals, the rhythmic beauty of pi, and the celestial wonder of astral formations—each piece serves as a wearable homage to the artistry inherent in scientific inquiry.
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