Tawsmead Copse, Nr West Stowell, Wiltshire, 9 Aug, 1998


The geometry

This animation shows how the Eastfield snowflake is a fractal formation: It starts from a regular heptagon, then each side is extended with a symmetrical "box". The two sides of the boxes follow the direction of the "parent heptagon" sides and the three outer edges are equal in length. Next each of these three sides is again extended with an identical box. After that the extension continues with circles, exactly as happened with the Koch Snowflake last year.

I was in a discussion program in Finnish television, where I mistakenly said the Tawsmead snowflake was a fractal (I confused it with the other one). According to my studies, it is not a fractal, but it certainly is intelligently constructed. It's funny that at this point I no longer need to see IF different elements in a Crop formation can be concluded from the others, but HOW they are!

This diagram shows how it works: First there is the large heptagon. Its sides are divided in half and again in half (a), when you get the points 'x' (upper left corner). Connecting these in two ways you get first the inner red heptagon (x-x1) and the black star, then the second largest green heptagon (x-x2). By connecting the corners of this, you get the second smallest heptagon (z-z1). Now you have all the borders except the ones that cut the points of the star, which you get by connecting the corners of the original heptagon (y-y1).

I also tried to figure out the logic in the positioning the small circles inside and outside. They seem to be positioned rather regularly in theory, but in the actual formation their positioning is a bit "loose". It's difficult to really determine their part in all this because of this fact.