€ 195
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Golden ratio necklace | 18K gold vermeil
Wear the golden ratio and someone will ask what it is. Kathryn L. had “compliments flowing in from the minute I stepped out wearing it” after this golden ratio necklace in gold vermeil arrived in Australia. Give it to a woman who enjoys that question and has an answer ready, or keep it for yourself.
Who It's For
- your sister, the scientist, the year she turns 25
- a granddaughter, as a present from a grandparent
- an artist, or yourself if art and maths both pull at you
- a friend
Aaike R., who gave it to a sister: “It was a present for my sister, a scientist, turning 25. She was already very happy with the themed necklace.” Maria S.: “I bought this for my granddaughter and she LOVES it!”
The Golden Ratio in a Five-Pointed Star
Draw a regular pentagon and join its corners to make a five-pointed star. Each of those lines is about 1.618 times the length of a side, the golden ratio φ. Where two of them cross, they cut each other in the golden ratio, and the longer piece is exactly as long as a side, as Euclid's Elements proves. The ratio turns up again and again in shapes with fivefold symmetry. That symmetry has a catch. Regular pentagons cannot tile a floor without gaps, because their 108° corners never add up to 360°. A pattern that repeats regularly in every direction can have twofold, threefold, fourfold or sixfold rotational symmetry, but never fivefold.
Explore Related Math and Physics Jewelry
- golden ratio necklace | silver
- golden ratio earring hoops | gold vermeil
- Phi necklace | gold vermeil
- Mobius strip necklace | gold vermeil
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. The chain attaches at both top corners, so it hangs level a little below the collarbone, on a 45 cm (17.7 inch) gold vermeil chain with a 5 cm (2 inch) extender. Extra chains for layering are offered on this page: 40, 42, 45 or 50 cm with the extender, or 80 cm. It is 2.5 microns of 18K gold over solid sterling silver, nickel-free and hypoallergenic. Take it off before swimming.
Is there a silver version, or matching earrings?
Yes to both. The same golden ratio necklace comes in sterling silver, also 33 mm on a 45 cm chain with a 5 cm extender. Choose the finish she already wears: the design is the same in both. The golden ratio earring hoops measure 34 mm and fasten with a post and ear nut. They come in gold vermeil and in sterling silver, so a set can match in either metal.
Will it arrive in time, and what if it isn't right?
DHL Express delivers free in 1-5 business days worldwide, and we pay the import duties and taxes, so nothing is due at the door. It arrives 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.
Who discovered quasicrystals, and where does the golden ratio come in?
On 8 April 1982, Dan Shechtman, at the US National Bureau of Standards, put a rapidly cooled aluminium-manganese alloy in his electron microscope. Its diffraction pattern showed rings of ten bright dots, a symmetry crystals were thought unable to have. He was asked to leave his research group. He published with Blech, Gratias and Cahn in 1984, and others realised they had seen such patterns before and blamed twinned crystals. In these quasicrystals, ratios of distances between atoms are related to φ. Shechtman received the 2011 Nobel Prize in Chemistry.
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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Necklace length guide
