Instar 01 [A4 size art print]


Shipping to United States: $10.94

OK, so this one takes a bit of thought.

Earlier I posted a Koch Star. You make a Koch Star by starting with an equilateral triangle and then adding triangles which are 1/3 the size to each side. Then, wherever there is a straight line, you add a triangle 1/3 as wide in the middle. It's a fractal, where the filled-in area has a limit but the border can be infinitely long.

But what if, instead of adding triangles, you take them away? You end up with a snowflake that I call and 'Instar'. This design is composed of four equilateral triangles representing the first four stages of an Instar. Each has a mini black and white version in the corner to try and make the structure clear. The colouring has nothing to do with the structure except that the non-deleted areas (corresponding to the black in the mini versions) are yellow.

I could have gone on for a full six copies to make a hexagon but after four, the fractal structure is almost impossible to see - and I like the arrow-head shape better anyway.

An Instar has the strange fractal quality that as more of the substance is removed, the total border increases. Ultimately, as the area covered approaches zero, the border approaches infinite length.

The third photo in the post is an explainer, with everything in black and white.

Designed by David Lawrence, d/dx art prints are created on 315 gsm Canson Infinity Museum Rag produced at the centuries-old Arches paper mill in France. This superb art paper is acid-free and uses no optical brighteners to degrade over time. Ultrachrome K3 inks provide vivid colours which will last without fading for many decades in normal conditions. The robustness of the paper makes DIY framing a simple matter.

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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