Sunday, 9 June 2019

Another Way to Build the Klein Bottle

An update on my progress with the Klein bottle:
The next two images below are of my second attempt at building a Klein bottle, using the same coiling technique and focussing on exploring a way to resolve the issue with the transition from inside to out/outside to in, as explained in the previous 'Klein Bottle' posts, dated 9 and 16 April. Here is an excerpt: "Like the Möbius, the Klein bottle is a continuous form. It has one continuous surface, so if you let your eye or finger travel along it, you will cover the inner surface and the outer surface in one continuous movement. With the sculptural form - as opposed to a computer-generated animation: time evolution of a Klein figure - you have to cheat a little and squeeze through the small gap I have made. I'm hoping that I will find a better sculptural solution in due course."

The 'small gap' of the first Klein bottle became a series of holes in the second. I felt that this would deal with the problem of allowing passage between inner and outer surface. The result was unsatisfactory, regardless of the fact it is a working maquette; it just doesn't work sculpturally. 




Time, therefore, for version III. This time using a different building process. 
Pure joy! Right from the start. Instead of coiling my way up an inert form as before, here I had an alive, a moving gesture right from the first coil (a much fatter and flattened one, but still a coil). And the glorious curves kept coming:

The starter coil


And continuing to build




The completed form - interestingly 'organic'


With a different solution for "the problem of allowing passage between inner and outer surface"


Sculpturally satisfying, with freedom/invitations to generate edges and texture through the working gesture and process 


I feel at this stage that the 'hole' solution is a good one, although it will require sensitivity to form - one of these two holes is better than the other, the top one (inside the loop) is better integrated than the one underneath the loop.