The Turing Train Terminal is a Turing Machine made with trains, it's a device used to represent Automata theory. that is it analyses the working of a computer and it's logic method. There's a theory that it's the purest form of computer logic and given enough time, can perform any calculation or process imaginable.
One of the other interesting analysis' of logical progression of computers is Langton's ant. One square is set to be the ant and then a simple set of rules are laid out for it to work with. For instance;
-At a coloured square, turn right 90 degrees, flip the colour of the square and move forward one step.
-At a black square, turn left 90 degrees, flip the colour of the square and move forward one step.
The one below has three different ants all with different colours. It's quite interesting that they start the same patterns and end up the same but do weird things in the middle.
The lines at the end of the calculation are caused by the continual repetition of the same 104 steps of the calculation. This is the attractor of the algorithm. The attractor is the end result of any open ended, infinite formula. It can come out as a line, as with the ants or as a point, or shape or even a manifold.
A manifold is a structure that allows non-Euclidian objects to work in Euclidian space. For instance, a triangle on the face of a sphere does not hold angles equal to 180 degrees but if you slice the sphere you can apply the triangle on the slices. So a sphere is a manifold but so is a circle because Euclidian space doesn't recognise curves. Read Flatland by Edwin A Abbot. You'll get it.
The manifold below is the Lorenz manifold. It's the one that causes the 'Butterfly Effect'.
I've left my computer at home taking a picture of my window every minute for the next 5 hours. I hope no one breaks in and stops it doing it's thing. Logically, they probably will.
No comments:
Post a Comment