Golden ratio triangles assembled 04 [A4 size art print]


Shipping to United States: $10.95

Take 10 golden ratio triangles (called a 'gnomon' like the tool used a few days ago) where one long side is bigger than the other two sides by the golden ratio (1.618 approx). The reason for taking 10 is that the smaller angles of a gnomon is 36 degrees, or 1/10 of a circle. Bring all the points together and then rotate one triangle by 36 degrees, the next by 36+36 and so on. You've created a windmill.

Now create 6 copies of the windmill, each 61.81% the size of the last (that golden ratio again, but this time its inverse). Place them on top of the original windmill and then rotate them in the same way you did the original triangles. Add colour to taste.

Once again, because so much is governed by the golden ratio, there are unexpected alignments everywhere if you draw horizontal or vertical lines through significant points. The most important relationship, which makes the whole thing work, is that the long side of each triangle in one fan is the same length as the short side of the triangles in the next largest.

In the third photo you can see the first three stages, which may be clearer than an explanation using words! Note that the third photo is not included in your purchase, it is there for explanation purposes only.

This print is standard European A4 (210*297mm) in size and is unframed - (An A3 version is available as a separate listing.) It will be packed flat in a crystal envelope with cardboard stiffener and posted in a rigid protective container.

Shipping & Policies

Payment Methods

  • Accepts Etsy gift cards


We accept credit card, debit card, etsy gift cards, and PayPal payments through Etsy.

Shipping from United Kingdom

We post items wherever possible within 2 working days. Prints are posted in rigid boxes via Royal Mail (First Class within the UK).


Returns & Exchanges

I gladly accept returns and exchanges

Just contact me within: 14 days of delivery

Ship items back to me within: 30 days of delivery

I don't accept cancellations

But please contact me if you have any problems with your order.

The following items can't be returned or exchanged

Because of the nature of these items, unless they arrive damaged or defective, I can't accept returns for:

  • Custom or personalized orders
  • Perishable products (like food or flowers)
  • Digital downloads
  • Intimate items (for health/hygiene reasons)

Returns and exchange details

In the unlikely event that there is a flaw in your print we are happy to exchange it or refund the price on return. In the event of damage in transit, it helps if you can provide photographic or other evidence so that we can claim from Royal Mail.


The colours you are seeing on your monitor are inevitably not precisely the colours you would see if you were looking at the same design in printed form. There is simply no way around that, since the internet places limits on the range of colours that can be displayed and, even if that were not the case, every monitor is subtly (sometimes wildly!) different in the way it displays colours.

But you can be reassured that the quality of our equipment is such that colours and quality are consistent over time and the print you receive will be identical to other prints sold in galleries and art fairs to buyers who have every opportunity to handle and assess them.

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