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Tower Blocks + Fibre-nacci = Fibo-optic

We still continued to find ideas in Maths publications. This one was unusual in that it was suggested by a drawing that appeared on the cover of Mathematics Teaching in 1992. That particular journal had been lying around ever since and we must have seen it many times without really noticing it.

In 1999 we moved into a house with walls high enough and large enough to hang a good number of our afghans. One of the first tasks was to renovate the Victorian cellars as a workshop. When this job was finished we started to move all our books, yarn and other materials. The journal in question had found its way to the top of a pile and seemed such an obvious candidate for an afghan that we went to buy more wool the next day and the tidying up was abandoned for a while.

The front face of the cube is almost the same as Fibre-nacci. It uses (a multiple of) the Fibonacci Sequence  in two directions. The main difference is that it has light grey yarn mixed in with the pink and blue. The side and bottom of the cube are very like the sides and tops of the cubes in Tower Blocks. The side has medium grey mixed in, the bottom has dark grey. Both faces use the Fibonacci Sequence in two directions and slope at the same time. The stripes get narrower as they get further away from the cube front which gives the illusion of perspective. This is Fibonacci in six directions.

When the cube is made this way up and hung high it appears to be flying into the air. If the shading is used differently it is easy to imagine that this is a box you could walk into.