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VisualIntFactor will be an interactive educational and scientific tool demonstrating multiply, factor, conversion between unary counting and binary integers, all in the same grid of hexagons. This grid is based on pascals triangle, which is a 1d cellular automata that calculates (X choose Y) factorials by each cell being the sum of the 2 cells upleft and upright. Draw a binary integer from a cell going upright, then explore the allowed transforms which may lead you to a factored state in 2...

...A Turing-machine has a memory that consists of a track or line of data. On the track, a read-/write-head is moving. The read-write head itself is a state engine, which is affected by the input from the track, and which decides what to write on the track, and where to read the next input, by "moving" the head back or forth. In 5050, the part of the track left of the head is represented not by a line or stack of information, but by a binary tree. The part right of the head is represented by a binary tree, too. The head itself sort of sits between the two trees, but will often change its state according to information from the right side of the left side. ...