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Fibo-optic uses the Fibonacci Sequence in two directions, in each of the three dimensions, to give the illusion of a large flying cube. Although it is primarily intended as an afghan, it is ideally suited to being used as a wall-hanging or floor rug, where it can always been seen spread out.

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Golden Spiral




Mr P & Mr F


Fibonacci Fichu


The instructions are for knitting in several pieces which are stitched together, so as to use only one yarn at a time.

It is possible to combine some of the pieces by using more balls of yarn at a the same time.


The cube requires two main colours and three shades of white and grey to mix with them to create the shadow effect. The afghan shown above was made with DK yarns for the main colours and 4-ply for the mixer yarns.

It is possible to make a bigger afghan but adding the next number in the sequence would add a substantial amount to the size.

The Fibonacci sequence of numbers is named after Leonardo Fibonacci who lived around 800 years ago. He was also known as Leonardo of Pisa.

The series is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34...........

Each term is found by adding together the two previous terms. This pattern has been found to occur frequently in nature. For example leaves spiralling a plant often have this spacing between them , as do the lines on many shells, and the formations of seedheads. The sequence is closely related to the Golden Section, which is much used by artists and architects.

This cube was made by Jacob and was featured in

an article in Providence

Shelly adapted the pattern

to make trinomial cube

This version was made by Ingrid

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